Not Applicable.
Not Applicable.
Not Applicable.
This disclosure references 10 computer program listing appendices. All 10 appendices are incorporated herein by reference. All 10 appendices are included within one file. The name of the file is appendices.txt, the date of creation of the file is Aug. 14, 2014, and the size of the file in bytes is 60,762.
Appendix 01 is exemplary C-language set-functions and family-functions determining conformance to requisites and requisite-family associations.
Appendix 02 is program design language for exemplary generation of individual outlet-set notes.
Appendix 03 is program design language for an example of the VST/AU host loading the exemplary computing device.
Appendix 04 is exemplary C++ class derivation code fragments.
Appendix 05 is program design language for creation and use of exemplary display screen components.
Appendix 06 is program design language for an exemplary workflow using the exemplary computing device.
Appendix 07 is program design language for exemplary assignment of color to display elements.
Appendix 08 is program design language for exemplary interval tracer grid updates during host playback.
Appendix 09 is program design language for exemplary updating of a link-traversal table.
Appendix 10 is program design language for exemplary updating of an interval checklist.
A portion of the disclosure of this patent document contains material which is subject to copyright protection. This patent document may show and/or describe matter which is or may become trade dress of the owner. The copyright and trade dress owner has no objection to the facsimile reproduction by anyone of the patent disclosure as it appears in the Patent and Trademark Office patent files or records, but otherwise reserves all copyright and trade dress rights whatsoever.
(1) Field
This disclosure relates to music.
(2) Description of the Related Art
One aspect of music is the communication of artistic intent. Writing or selecting music includes expressing subjective elements of humanity, within a medium founded on objective physical science, as realized in musical instruments or the human voice. The creative leap from subjective to objective, in a way which communicates to others or self, is prefaced with myriad possible combinations of musical notes.
The number of combinations of notes an instrument may provide grows exponentially with the number of notes per combination. Mathematically, the number of combinations is the note-range R of the instrument (or voice) raised to the power N, the number of notes in the combination. An 88 key piano may provide over 464 billion 6-note combinations, i.e. 88 raised to the 6th power. A concert flute with a range of 42 notes may provide over 130 million 5-note combinations.
Humans hear music with an endowment known as echoic memory, which contributes to perception of qualitative musical correlates, e.g. musical intervals. Intervals are commonly known to have subjective qualities independent of their position within the range of an instrument. The interval 3:2 describes the relative ratio between two note-frequencies, not the absolute location of the notes in the range. Intervals provide a measure of subjective expression, while incurring reduced combinatorics.
Other musical correlates also exist. One aspect of a sequence of notes is a topology based on the recurrance of notes. Another aspect of a sequence of notes is a pattern of direction from one note's frequency to the next note's frequency, either up, down, or same. Like intervals, note-topology and note-directions may convey subjective qualities, with combinatorics less than those of an instrument's note-range. These and other correlates may be imposed as requisites of artistic intent, to intermediate the myriad possible combinations of notes.
Having one or more proposed combinations of notes, those combinations may be evaluated against the artistic intent. Whether a combination is near to, or far from, the intent, causality information may be factored into subsequent combinations. Visual representation of musical correlates during audit may enhance causality information.
A musical composition may run the gamut from a single part, with a simple melody, to multiple parts, with complex harmonies. The number of possible correlates in a musical composition grows exponentially with the number of parts, instrumental or vocal. This is because humans may perceive correlates between any combination of the parts. A 7:5 interval may be recognized between two instruments on opposite sides of an orchestra. Again, visual representation of musical correlates may enhance identifying causality.
Given that music predates recorded history, tools for writing or selecting music have advanced in association with advances in technology. Toolsets for music writing, or music selection, are varied, technological, and interconnected. The operating environment of music toolsets includes ubiquitous electronic devices, e.g. personal computers, phones, and tablets; specialized devices and systems; and services.
This application file contains at least one drawing executed with black-and-white symbology for color. All colors are for example purposes only. The key for color symbology is
Note that throughout this description, elements appearing in figures are assigned four-digit reference numbers, where the two most significant digits are the figure number, and the two least significant digits are element-specific.
In block diagrams, arrow-terminated lines may indicate data paths rather than signals. Each data path may be multiple units in width. For example, each data path may consist of 4, 8, 16, 64, 256, or more parallel connections.
Description of Apparatus.
The determinant 0109 may make a selection 0107 among the candidate musical parts 0106 and may perform an integration 0110 of the selection 0107 into a working composition 0114, from a superset of compositions 0101. The determinant 0109 then may effect a playback 0102 of the working composition 0114 to the toolset 0103 for an evaluation 0111 by the determinant 0109.
The determinant 0109 may iterate multiple times thru one or more of the above steps to completion 0113 of final composition 0112.
Referring now to
The system outlet 0212 may be adapted to set the system set-criteria 0213 in response to one or more system set-functions 0203 data received from the system controller 0202.
The system controller 0202 may receive one or more system controller-input 0201 data indications which may include the requisites of the system outlet-sets 0211 yielded by the system outlet 0212. The system controller-input 0201 data indications may be received from one or more manual sources and/or one or more automated sources.
The system may include a system portal 0207 coupled to the system controller 0202. The system portal 0207 may receive system portal-input 0206 data indications which may include a portal-origin and a portal-destination. The portal-origin may be e.g. a data file within an environment external to the system. The portal-destination may be the system controller 0202. The system portal-input 0206 data indications may be received from one or more manual sources and/or one or more automated sources.
The system portal 0207 may transfer one or more system portal-objects re controller 0204, e.g. one or more additional requisites, from the data file to the system controller 0202. The system outlet 0212 may be coupled to the system portal 0207.
The system portal 0207 may receive one or more system portal-input 0206 data indications which may include a portal-origin, which may be e.g. a data file within an environment external to the system, and a portal-destination, which may be the system outlet 0212. The system portal 0207 may transfer one or more system portal-objects re outlet 0205, e.g. additional predetermined minimum degrees of conforming, from the data file to the system outlet 0212.
The system controller 0202 may formulate one or more of the system set-functions 0203 data from one or more set-parameters (not shown) which include the requisites. The system controller 0202 may cause the system outlet 0212 to set the system set-criteria 0213 to the system set-functions 0203.
The system controller 0202 may transmit one or more counter output 0215 data indications which may include one or more counts of the system outlet-sets 0211 conforming in one or more predetermined minimum degrees to the requisites. The counter output 0215 data indications may be transmitted to one or more personal destinations and/or one or more automated destinations.
The system outlet 0212 may transmit one or more system outlet-effects 0214 of the requisites upon the system outlet 0212. The system controller 0202 may receive the system outlet-effects 0214. The system controller 0202 may transmit one or more controller-output 0216 data indications which may include the system outlet-effects 0214. The controller-output 0216 data indications may be transmitted to one or more personal destinations and/or one or more automated destinations.
The system may include a system tracer 0209 coupled to the system outlet 0212. The system outlet 0212 may transmit one or more system outlet-sets 0211 to the system tracer 0209. The system tracer 0209 may be coupled to the system portal 0207.
The system portal 0207 may receive one or more system portal-input 0206 data indications which may include a portal-origin, which may be e.g. a first process within an environment external to the system, and a portal-destination, which may be the system tracer 0209. The system portal 0207 may transfer one or more system portal-objects re tracer 0208, e.g. portal-sets which may include musical notes, from the first process to the system tracer 0209.
The system tracer 0209 may calculate one or more correlations within the system outlet-sets 0211 and/or the portal-sets. The system tracer 0209 may transmit one or more tracer output 0210 data indications which may include one or more of the correlations.
The tracer output 0210 data indications may be transmitted to one or more personal destinations and/or one or more automated destinations.
The system portal 0207 may receive one or more system portal-input 0206 data indications which may include a portal-origin, which may be e.g. a data file within an environment external to the system, and a portal-destination, which may be the system controller 0202. The system portal 0207 may transfer one or more system portal-objects re controller 0204, e.g. portal-sets which may include musical notes, from the data file to the system controller 0202.
The system controller 0202 may transmit one or more system imputed-output 0217 data indications which may include one or more imputed-requisites of the portal-sets. The system imputed-output 0217 data indications may be transmitted to one or more personal destinations and/or one or more automated destinations.
The system portal 0207 may receive one or more system portal-input 0206 data indications which may include a portal-origin, which may be the system outlet 0212, and a portal-destination, which may be e.g. a second process within an environment external to the system. The system portal 0207 may transfer one or more system portal-objects re outlet 0205, e.g. one or more system outlet-sets 0211, from the system outlet 0212 to the second process.
The system portal 0207 may receive one or more system portal-input 0206 data indications which may include a portal-origin, which may be the system controller 0202, and a portal-destination, which may be e.g. a data file within an environment external to the system. The system portal 0207 may transfer one or more system portal-objects re controller 0204, e.g. one or more system controller-input 0201 data indications, from the system controller 0202 to the data file.
The system portal 0207 may receive one or more system portal-input 0206 data indications which may include a portal-origin, which may be the system tracer 0209, and a portal-destination, which may be e.g. a data file within an environment external to the system. The system portal 0207 may transfer one or more system portal-objects re tracer 0208, e.g. one or more tracer output 0210 data indications, from the system tracer 0209 to the data file.
The couplings described above between the system controller 0202, the system outlet 0212, the system portal 0207 and the system tracer 0209, as well as the personal inputs/outputs and the automated inputs/outputs described above, may be via a network which may be a local area network; via one or more buses such as a USB bus, a PCI bus, a PCI Express bus, or other parallel or serial data bus; via one or more direct wired, optical fiber, or wireless connections; or via a combination of one or more of direct connections, network connections, and bus connections. The network may be or include the Internet, or any other private or public network. To access the Internet, the system may run a browser such as Microsoft Explorer or Mozilla Firefox; a social networking service such as Facebook or Twitter; or an e-mail program such as Microsoft Outlook or Mozilla Thunderbird; or combinations thereof.
Each of the system controller 0202, the system outlet 0212, the system portal 0207 and the system tracer 0209, as well as the personal inputs/outputs and the automated inputs/outputs described above, may be stationary or mobile.
Each of the system controller 0202, the system outlet 0212, the system portal 0207, the system tracer 0209, the couplings described above, as well as the personal inputs/outputs and the automated inputs/outputs described above, may include hardware, firmware, and/or software adapted to perform the processes described herein. Hardware and/or firmware may be general purpose or application-specific, in whole or in part. Application-specific hardware and firmware may be for example a field programmable gate array (FPGA), a programmable logic device (PLD), a programmable logic arrays (PLA), or other programmable device. Hardware and/or firmware and/or software may be mass-market, industry-specific, profession-specific, public domain, custom-built, or any mix thereof, in whole or in part. Hardware and/or firmware and/or software may be bought, leased, or a service, at cost/obligation, or free of cost/obligation, in whole or in part.
The processes, functionality and features of the system, as well as the personal inputs/outputs and the automated inputs/outputs described above, may be embodied in whole or in part in software which may be in the form of firmware, an application program, an applet (e.g., a Java applet), a browser plug-in, an application plug-in, a COM object, a dynamic linked library (DLL), a script, one or more subroutines, an operating system component, an operating system service, a network component, or a network service.
The system, as well as the personal inputs/outputs and the automated inputs/outputs described above, may run one or more software programs as described herein and may run an operating system, including, for example, versions of the Linux, Unix, MS-DOS, Microsoft Windows, Solaris, Android, iOS, and Apple Mac OS X operating systems. The operating system may be a real-time operating system, including, for example, Wind River vxWorks, Green Hills Integrity, or real-time variants of Linux.
The system, as well as the personal inputs/outputs and the automated inputs/outputs described above, may run on, or as, a virtual operating system or a virtual machine. The system, as well as the personal inputs/outputs and the automated inputs/outputs described above, may run on, or as, a dedicated or application-specific appliance. The hardware and software and their functions may be distributed such that some functions are performed by a processor and others by other devices.
Processes, functions, and the personal inputs/outputs and the automated inputs/outputs described above, may be stationary, manually relocatable, or automatically relocatable.
Two or more of the system controller 0202, the system outlet 0212, the system portal 0207, the system tracer 0209, the couplings described above, as well as the personal inputs/outputs and the automated inputs/outputs described above, may be collectively incorporated, partly or wholly, into one device, one firmware and/or one software adapted to perform the processes described herein.
Each of the system controller 0202, the system outlet 0212, the system portal 0207, the system tracer 0209, the couplings described above, as well as the personal inputs/outputs and the automated inputs/outputs described above, may be included within one or more respective pluralities.
Two or more instances of the system as well as the personal inputs/outputs and the automated inputs/outputs described above, may be included within one or more pluralities, with one or more of the systems coupled via one or more pluralities of the couplings described above.
The computing device 0301 may include a processor 0302 coupled to a storage-device 0305 and a memory 0306. The storage-device 0305 may include or accept a non-transitory machine readable storage medium. As used herein, a storage-device is a device that allows for reading from and/or writing to a non-transitory machine readable storage medium. As used herein, the term “non-transitory machine readable storage medium” refers to a physical object capable of storing data. The non-transitory machine readable storage medium may store instructions that, when executed by the computing device 0301, cause the computing device 0301 to perform some or all of the processes described herein.
Storage devices include hard disk drives, DVD drives, flash memory devices, and others. Non-transitory machine readable storage media include, for example, magnetic media such as hard disks, floppy disks and tape; optical media such as compact disks (CD-ROM and CD-RW) and digital versatile disks (DVD and DVD+/−RW); flash memory cards; and other storage media. The storage-device may be included within a storage server (not shown) or other computing devices. The storage server may be coupled to the computing device 0301 via one or more networks, which may be or include the internet, or which may be a local area network. The storage server may be coupled to the computing device 0301 via software; or via one or more buses such as a USB bus, a PCI bus, a PCI Express bus, or other parallel or serial data bus; or via one or more direct wired, optical fiber, or wireless connections. The storage server may be coupled to the computing device 0301 via a combination of one or more of software connections, direct connections, network connections, and bus connections.
The computing device 0301 may include or interface with a display 0313; with input devices for example an alphanumeric keyboard 0311, a mouse 0310, and a music keyboard 0309; and with output devices for example an audio 0312.
The computing device 0301 may interface with one or more networks 0304 via a network interface 0303. The network interface 0303 may interface with the networks 0304 via a wired, optical fiber, or wireless connection. The networks 0304 may include or be the Internet or any other private or public network. To access the Internet, the computing device 0301 may run a browser such as Microsoft Explorer or Mozilla Firefox; a social networking service such as Facebook or Twitter; or an e-mail program such as Microsoft Outlook or Mozilla Thunderbird; or combinations thereof. Each of the computing device 0301 thru the display 0313 described above may be stationary or mobile.
The computing device 0301 may include an outlet interface 0307, and may interface with one or more music yielding outlets 0308 via the outlet interface 0307. The outlet interface 0307 may include a combination of circuits, firmware, and software to interface with the music yielding outlets 0308. The outlet interface 0307 may be coupled to the music yielding outlets 0308 via software; via a network which may be a local area network; via one or more buses such as a USB bus, a PCI bus, a PCI Express bus, or other parallel or serial data bus; or via one or more direct wired, optical fiber, or wireless connections. The outlet interface 0307 may be coupled to the music yielding outlets 0308 via a combination of one or more of software connections, direct connections, network connections, and bus connections.
Each of the computing device 0301 thru the display 0313 described above may include hardware, firmware, and/or software adapted to perform the processes described herein. Hardware and/or firmware may be general purpose or application-specific, in whole or in part. Application-specific hardware and firmware may be for example a field programmable gate array (FPGA), a programmable logic device (PLD), a programmable logic arrays (PLA), or other programmable device. Hardware and/or firmware and/or software may be mass-market, industry-specific, profession-specific, public domain, custom-built, or any mix thereof, in whole or in part. Hardware and/or firmware and/or software may be bought, leased, or a service, at cost/obligation, or free of cost/obligation, in whole or in part.
The processes, functionality and features of the computing device 0301 may be embodied in whole or in part in software which may be in the form of firmware, an application program, an applet (e.g., a Java applet), a browser plug-in, an application plug-in, a COM object, a dynamic linked library (DLL), a script, one or more subroutines, an operating system component, an operating system service, a network component, or a network service.
The computing device 0301 may run one or more software programs as described herein and may run an operating system, including, for example, versions of the Linux, Unix, MS-DOS, Microsoft Windows, Solaris, Android, iOS, and Apple Mac OS X operating systems. The operating system may be a real-time operating system, including, for example, Wind River vxWorks, Green Hills Integrity, or real-time variants of Linux.
The computing device 0301 may run on, or as, a virtual operating system or a virtual machine. The computing device 0301 may run on, or as, a dedicated or application-specific appliance. The hardware and software and their functions may be distributed such that some functions are performed by the processor 0302 and others by other devices. Processes and functions described above may be stationary, manually relocatable, or automatically relocatable.
Two or more of the computing device 0301 thru the display 0313 described above may be collectively incorporated, partly or wholly, upon one device, one firmware and/or one software adapted to perform the processes described herein.
Each of the computing device 0301 thru the display 0313 described above may be included within one or more respective pluralities. Two or more instances of the computing device 0301 may be included within one or more pluralities, with one or more of the computing device 0301 coupled via one or more pluralities of the couplings and/or interfaces described above.
As background, VST2 stands for version 2.4 of the Virtual Studio Technology interface, which was originated by, and is a copyright of, the corporation Steinberg Gmbh. AU stands for Audio Units, which was originated by, and is a copyright of, Apple. AU and VST2 are software interface standards which allow a set of music tools to work together, and are largely similar at a conceptual level. The exemplary computing device 0402 will be described with
As further background, human perception of music, i.e. continuous audio, is such that any delay or dropout is jarringly noticeable, even more so than slight delays in the response of the display screens. Therefore, per the VST2/AU standards, the VST2/AU host application 0401 and the exemplary computing device 0402 give highest priority to processing audio data.
A lower priority thread 0413 and a higher priority thread 0416 show how the VST2/AU host application 0401 maintains 2 processing threads with the exemplary computing device 0402. The higher priority thread 0416 processes audio data and commands from the VST2/AU host application 0401 to the exemplary computing device 0402. Because of the high priority of audio data, both a receive input indications 0424 and a generate melodies 0403 are performed as part of the lower priority thread 0413.
If a to/from host 0814 of
Because tracer grids are display screens, their updates are performed by a update display screens 0419 as part of the lower priority thread 0413. However, a MIDI notes from host 0417, which is traced by grids, is audio data and received as part of the higher priority thread 0416.
A display buffer 0410 serves as intermediate storage between the lower priority thread 0413 and the higher priority thread 0416, providing data to an update tracer grids 0411 on one or more display screens 0412. The display buffer 0410 includes a note space data structure 0701 and a display space data structure 0711 of
As background, MIDI provides a standardized file format for saving musical note sequences for playback. MusicXML provides a standardized file format of musical score information for notation. The exemplary computing device 0402 may save generated melodies via a save as MIDI file 0404 to an MIDI file 0405, or via a save as MusicXML file 0406 to an MusicXML file 0409. The VST2/AU host application 0401 has its own project-file storage, into which it may record generated melodies via a record MIDI notes 0422 to a host project file 0421.
Encoding of note-data for tracer output on the display screens 0412 is performed by a translate notes to display updates 0418, which receives data from one or more of the following:
a generate melodies 0403;
If the to/from host 0814 of
If an output to tracer grids 0817 of
As background, the VST2/AU standards describe 2 functional partitions for an exemplary plug-in computing device 0501 as an application plug-in, a device editor 0502 and a device effect 0511.
The higher priority thread 0416 executes functionality of the device effect 0511, which receives the MIDI notes from host 0417 as an input note-sets from host 0513. In this example, the VST2/AU host application 0401 is included within a first process, which is in turn included within an environment external to a device engine 0522.
In one alternative, the device effect 0511 may receive the read MIDI file 0407, or the read MusicXML file 0408, as input porting-objects, specifically porting-sets, in which case the porting-origin may be a data file. A device portal 0514 may then transfer the porting-sets to a tracer 0505. In another alternative, the tracer 0505 may be itself a device, and receive tracing-sets. These alternatives are not shown, in favor of showing, and describing below, the device portal 0514 transferring porting-sets to a data file.
Resuming with
The device effect 0511 is shown containing only an audio processing 0512. Note however that the device effect 0511 also processes other VST2/AU commands from the VST2/AU host application 0401 to the exemplary plug-in computing device 0501, via the higher priority thread 0416.
The lower priority thread 0413 executes updates of a graphical user interface 0503 of the device editor 0502, which receives the update display screens 0419 as an input. The update display screens 0419 includes inputs, via receive input indications 0424, to the graphical user interface 0503. The graphical user interface 0503 transmits one or more controlling-input indications 0527, one or more tracer display parameters 0504, and one or more porting-input indications 0519. The input-indication sub-elements are not shown, namely requisites and porting-object/origin/destination, nor the display parameters. The sub-elements are not shown for one or more controlling-output indications 0526, one or more tracing-output indications 0506, and one or more counting-output indications 0521. These indications and display parameters are described in detail below, beginning with
The device editor 0502 functionally divides between the graphical user interface 0503, the tracer 0505, a device engine 0522, and a device controller 0525. The graphical user interface 0503 provides the controlling-input indications 0527, which includes the requisites, to the device controller 0525. Given the requisites, the device controller 0525 provides the counting-output indications 0521 to the graphical user interface 0503.
Also, given requisites included in set-parameters, the device controller 0525 formulates set-functions, causes a set criteria to be set 0523 to the set-functions, and the device engine 0522 generates one or more outlet-sets to tracer 0520 to the tracer 0505.
Note that in the exemplary plug-in computing device 0501, conformance to set-criteria is quantized to a predetermined degree of either true or false. Formulation of set-functions is described in more detail in Appendix 01.
The device engine 0522 also generates one or more outlet-sets to portal 0518 to an LPT to HPT buffer 0517 within the device portal 0514. The device portal 0514 then transfers porting-objects, specifically one or more porting-sets to host 0515, from the LPT to HPT buffer 0517 to a MIDI channel to host 0508, which then transmits one or more outlet-sets to audio 0509 to the host. The device portal 0514 also transfers one or more porting-sets to data file 0516 to a data file. In this example, the data file is included within a porting-destination, in an environment external to the device engine 0522.
A MIDI channel for tracing host 0510 receives one or more note-sets from host 0513. The device portal 0514 then transfers the note-sets from host 0513 as one or more host-sets to tracer 0507 to the tracer 0505. In this example, the tracer 0505 is a second process included within a porting-destination, in an environment external to the device engine 0522.
The graphical user interface 0503 provides one or more tracer display parameters 0504 to the tracer 0505. The tracer 0505 transmits one or more tracing-output indications 0506, specifically calculated correlations, to the graphical user interface 0503. The tracer display parameters 0504 are described in greater detail below, with
The device controller 0525 also receives one or more outlet-effects 0524 from the device engine 0522, then transmits the controlling-output indications 0526, which includes the outlet-effects 0524, to the graphical user interface 0503.
In another alternative, if a to/from process 0818 of
The controlling-input indications 0527, specifically requisites, are described with
In the exemplary plug-in computing device 0501, MIDI channels are allocated/deallocated as needed in cooperation with the VST2/AU host application 0401 of
As background, the VST2 and AU APIs are written in C++, with the intent they be used via class derivations. Therefore the exemplary plug-in computing device 0501 is written in C++. Examples of some of the class derivations made by the exemplary plug-in computing device 0501 are shown in Appendix 04.
The plug-in effect 0601 contains an individual pointer 0606 to the plug-in editor 0602. The plug-in editor 0602 contains two individual pointer 0606's, one to an editor frame 0603, and one back to the plug-in effect 0601. The editor frame 0603 contains an individual pointer 0606 to a container of screens 0604.
The container of screens 0604 contains a group of pointers to screens 0605, which point to a scalar requisites screen 0607, an interval tracer grid screen 0609, and other screens appearing in
one or more text input boxes 0614,
one or more spin controls 0615, and
one or more buttons 0616.
The interval tracer grid screen 0609 contains a group of pointers to interval tracer grid components 0610, which point to:
one or more graphic objects 0611,
one or more cell information buttons 0612, and
one or more cell information popup screens 0613.
As background, the exemplary plug-in computing device 0501 uses VSTGUI, created by, and a copyright of, Steinberg Gmbh, as its display screen toolkit/API, and to run on both Microsoft and Apple systems. Creation and use of two exemplary display screen components, echoic memory note depth 1302 and composition polyphony 1303, is described in more detail in Appendix 05.
When tracing is being performed, note information (not shown) enters the note space data structure 0701. Visual information on the computer display (not shown) comes from the display space data structure 0711. The note space data structure 0701 is a 3-dimensional data structure whose cardinal dimensions are:
a note space part 0702,
a note space voice 0703, and
a note space echoic note count 0704.
The size of each dimension is determined by the values entered for a echoic memory note depth 1302 and a composition polyphony 1303 of
the composition polyphony 1303, 2 parts, numbered 1 and 2;
the composition polyphony 1303, parts 1 and 2 both having 3-voice polyphony; and
the echoic memory note depth 1302 of 4.
An example note space cell one 0705 is located at coordinates [part 1, voice 3, echoic memory 1]. Another example note space cell two 0706 is located at coordinates [part 2, voice 3, echoic memory 2].
The display space data structure 0711 is a 2 dimensional data structure whose cardinal dimensions are associated with the Cartesian square of the unrolled cells in Note Space. In this example, unrolling means the following. The note space data structure 0701 has 3 dimensions:
a part, of 2 cells in this example,
a voice, of 3 cells in this example, and
an echoic memory, of 4 cells in this example.
The rows and columns of the display space data structure 0711, in this example, have 1 dimension of 24 cells: 2 parts×3 voices×4 echoic memories. The grid of rows and columns in the display space data structure 0711 constitute the Cartesian square. Only the leftmost cells, topmost cells, and a example display space cell 0712, of display space data structure 0711 are shown. However it should be understood that the display space data structure 0711 is fully populated with cells, 24×24=576, in this example. Ellipses indicate full population with cells.
A group of display space vertical part regions 0707 shows the column-regions in the display space data structure 0711 for each of the 2 parts in this example. A group of display space vertical voice regions 0708 shows the column-regions in the display space data structure 0711 for each of the 3 voices of each part in this example. A group of display space horizontal part regions 0709 shows the row-regions in the display space data structure 0711 for each of the 2 parts in this example. A group of display space horizontal voice regions 0710 shows the row-regions in the display space data structure 0711 for each of the 3 voices of each part in this example.
The example display space cell 0712 shows the mapping of one cell of the display space data structure 0711 onto the note space data structure 0701. The example display space cell 0712 is located at row [part 1, voice 3, echoic memory 1] and column [part 2, voice 3, echoic Memory 2]. It contains 2 links to cells in the note space data structure 0701. A row link 0713 links the example display space cell 0712 to the example note space cell one 0705, at the corresponding coordinates of [part 1, voice 3, echoic memory 1]. A column link 0714 links the example display space cell 0712 to the example note space cell two 0706, at the corresponding coordinates of [part 2, voice 3, echoic memory 2].
Given the note information in the example note space cell one 0705 and the example note space cell two 0706, visual information on the computer display may be calculated for the example display space cell 0712. The display information is calculated by the tracer 0505, of
The note information in the example note space cell one 0705, and the example note space cell two 0706, changes dynamically during tracing. However, the row link 0713 and the column link 0714 in Display Space are established once, then remain unchanged during tracing. Visual information on the computer display is updated, via re-calculation by the tracer 0505 of
Unless stated otherwise, each display component shown in
A scalar requisites frame 0801 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen. This provides functional control.
A starting note 0802 is the text input, e.g. C4, for the starting note of the generated melodies. This is a requisite for the generation of melodies. The default value is C4.
A note-set length 0803 is the numeric input of the number of notes, e.g. 5, 6, 7, etc. for the generated melodies. This is a requisite. The default value is 6.
A maximum note-distance 0804 is the numeric input of the maximum note distance, e.g. 5 notes, 6 notes, 7 notes, etc. within the generated melodies. This is a requisite. The default value is 12. Maximum note-distance is relative to the prior generated note, and refers to the musical scale position of the generated Note[i] relative to Note[i−1]. For example, on the chromatic scale of a piano, the note-distance between generated notes C4 and G4 is 7.
The requisite which includes the note-range is embodied by two elements in
A note length 0807 is the spin-control input, e.g. ¼, ½, 1, etc. for the length of individual notes within the generated melodies. This is a characteristic of the generated melodies. The default value is ¼.
A rest length 0808 is the spin-control input, e.g. 0, ¼, ½, 1, etc. for the length of individual rests between notes of the generated melodies. This is a characteristic. The default value is 0.
A note velocity 0809 is the numeric input of the MIDI value, e.g 0-255, of the velocity (i.e. audio volume) of individual notes within the generated melodies. This is a characteristic. The default value is 127.
A space between melodies 0810 is the numeric input of the number of seconds, e.g. 3, 4, 5, etc. between generated melodies. This is a characteristic. The default value is 5.
A note length variability 0811 is the pulldown menu input, e.g. 0%-10%, of the degree of randomness in the length of individual notes in the generated melodies. This is a characteristic. The default value is 0%.
A rest length variability 0812 is the pulldown menu input, e.g. 0%-10%, of the degree of randomness in the length of individual rests in the generated melodies. This is a characteristic. The default value is 0%.
A velocity variability 0813 is the pulldown menu input, e.g. 0%-10%, of the degree of randomness in the audio volume of individual note velocities in the generated melodies. This is a characteristic. The default value is 0%.
A to/from host 0814 is the Yes/No toggle-button to route the generated melodies to/from the host. This is a control. The default value is Y.
An output to MIDI file 0815 is the Yes/No toggle-button to route the generated melodies to a MIDI file. This opens a standard OS-level (e.g. Microsoft, Apple) file-save dialog. This is a control. The default value is N.
An output to XML file 0816 is the Yes/No toggle-button to route the generated melodies to an XML file. This opens a standard OS-level (e.g. Microsoft, Apple) file-save dialog. This is a control. The default value is N.
An output to tracer grids 0817 is the Yes/No toggle-button to route the generated melodies to the tracer grids. This is a control. The default value is N.
A to/from process 0818 is the Yes/No toggle-button to route the generated melodies to/from a process included within an environment external to the device engine 0522 of
A scalar screen calculate 0819 is the button to calculate the number of melodies which may be generated. This is a control.
A scalar screen calculated 0820 is the output field to display the calculated count of outlet-sets conforming to the requisites, which is included within the counting-output indications 0521 of
A scalar screen generate 0821 is the button to generate the melodies. This is a control.
A scalar screen save to file 0822 is the button to save all current user inputs to a disk file. This opens a standard OS-level (e.g. Microsoft, Apple) file-save dialog, which allows a transferring-input indication, specifically a data file. This is a control.
A scalar screen load file 0823 is the button to load all user inputs from a disk file. This opens a standard OS-level (e.g. Microsoft, Apple) file-load dialog, which allows a transferring-input indication, specifically a data file. This is a control.
A scalar screen selector 0824 is the button to select the scalar requisite inputs and Generated Melody Characteristics display screen. Underlining indicates the current screen. This is a control. The default display screen is scalar requisite inputs.
A 1-D requisites frame 0901 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
A note-directions 0902 is a list of direction pulldown menus, each e.g. Up, Down, Same, Any. Direction is relative to the prior note: Up, Down, Same, or Any. Up, Down, and Same refer to the audio frequency of Note[i] relative to Note[i−1]. Up and Down have the effect, on average, of approximately halving the number of possibilities at each of positions 2 thru N in the generated melodies. The direction called “Same” is a special case, meaning “Repeat Note[i−1]”, resulting in reduction in the number of generated melodies. “Any” is not a note-direction per se, rather it allows the tailoring this requisite to specific note-positions.
A note-topology 0903 is a list of numeric topology inputs, each e.g. Any, 1, 2, 3, etc. Each topology input is a label for Note[i]:
Note-topology has 2 useful properties. First, it allows a highly selective degree of control on the actual notes of the generated melodies. E.g. the topology “1 2 3 4 5 6” allows all notes, so long as none repeats. The topology “1 1 1 1 1 1” allows any note, so long as it repeats 6 times. Each time a repeat is specified, a reduction (e.g 88-to-1 for the full range of a piano) occurs at that position in the number of generated melodies.
Second, note-topology allows the specification of melodies which have a movement, from note to note, consistent with the expressive intent. This movement is a topological path. If a specified path has no cycles, it is a simple line, i.e. linear. But a path may also be specified with complex cycles, i.e. returns to familiar notes, and such a path may be artistically expressive.
To illustrate, refer to
Returning now to
An echoic memory for absent intervals 0909 is a numeric input for the depth of echoic memory applicable for absent intervals, e.g. 1 note, 2 notes, 3 notes, etc. I.e. this is the span of past-time over which the absent musical intervals 0907 are requisites. The default value of 1 corresponds to a common reference to intervals as being between adjacent notes.
A 1-D horizontal scrollbar 0910 enables the use of requisite lists which are longer than the 1-D requisites frame 0901, i.e. lists extending according to the note-set length 0803 of
Note the following functional equivalencies:
A 1-D screen selector 0916 is the button to select the 1-D requisite inputs display screen.
This type of requisite input is structured as a 2 dimensional Cartesian square of intervals. User inputs are provided At each intersection between 2 intervals, e.g. row 11:10 and column 7:6. Ordering is by row, then column, e.g. row 11:10, column 7:6 specifies 11:10 followed by 7:6 in the generated melodies. Entries on the diagonal from upper-left to lower-right refer to a set of consecutive intervals, each having the same value.
Note that ellipses are shown on the right side and bottom, indicating each extends according to the 11 intervals (discounting 1:1) which exist in one octave of 12 notes.
A context requisites frame 1001 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
The present musical interval-sets and the absent musical interval-sets are included within an interval-set presence/absence 1003. This is a pulldown menu for each interval-set, each menu offering the following options:
For each pulldown menu, <Interval 3a> and <Interval 3b> are replaced with the 2 possible third intervals for the menu's interval-set. I.e. if the row-interval is formed by Note2:Note1, and the column-interval is formed by Note3:Note2, then <Interval 3a> and <Interval 3b> are formed by the 2 possible values of Note3:Note1. For example, if the interval-set is row 3:2, column 5:4, then <Interval 3a> is replaced with 6:5 and <Interval 3b> is replaced with 7:4.
To understand why <Interval 3a> and <Interval 3b> are two distinct values, consider the following. The 2 intervals 3:2 and 5:4 are formed by 3 notes N1, N2, and N3. For the interval 3:2, the distance between N1 and N2 is either +7 notes or −7 notes. For the interval 5:4, the distance between N2 and N3 is either +4 notes or −4 notes. Therefore the distance between N1 and N3, i.e. the third interval, may be either +/−3 notes (7−4), or +/−11 notes (7+4). If the distance is 3 notes, the third interval is 6:5. If the distance is 11 notes, the third interval is 7:4.
Within the pulldown menu of interval-set presence/absence 1003, the <Interval 3a> is replaced with the nearer interval, e.g. 6:5=3 notes distance. The <Interval 3b> is replaced with the farther interval, e.g. 7:4=11 notes distance. We refer to these as “interval-triplets”, e.g. (3:2, 5:4, 6:5) and (3:2, 5:4, 7:4).
An RC presence/absence 1002 is a group of pulldown menus, one for each interval-row, each menu applying to all interval-sets for that interval. Note this includes all interval-sets on that interval's row, plus all interval-sets on that interval's column. Each applicable interval-set has its Presence/Absence set to match, but its Position (described below) retains any previous setting, unchanged. For values of this pulldown, see the interval-set presence/absence 1003 above. The default value is “--”, no requisite.
Within the pulldown menu of the RC presence/absence 1002, <Interval 3a> is replaced with the text “nearer interval”, and <Interval 3b> is replaced with the text “farther interval”. For each affected interval-set on that interval's row and column, Presence/Absence is set with its appropriate specific nearest or farthest interval.
A nearer set positions 1004 is the numeric input of one or more positions for the nearer interval-triplet within the generated melodies. E.g. if:
If the triplet's position is not of interest, then the nearer set positions 1004 may be set to 0. The default value is 0. A farther set positions 1005 is the numeric input of one or more positions for the farther interval-triplet within the generated melodies.
A context vertical scrollbar 1006 and a context horizontal scrollbar 1007 enable the use of interval-sets which are longer than the context requisites frame 1001, i.e. the use of sets for all 11 intervals (discounting 1:1) present in one octave of 12 notes.
Note the following functional equivalencies:
A context screen selector 1013 is the button to select the present/absent context-sensitive interval requisite inputs display screen.
A requisite count output frame 1101 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
A multiple of statistic indications 1102 includes two kinds of counts. The first kind is the count of non-conformant melodies, at each note-position, for each requisite. The second kind is a count of melodies, at each note position, which conformed to all requisites thereat. The statistic indications 1102 is an example of controlling-output indications, specifically outlet-effects. Counts for the effect of each element of the set of requisites provide the basis for modifying the requisites. These modifications may be iterated upon to bring the results into an acceptable range.
A count horizontal scrollbar 1103 enables the output of rows which are longer than the requisite count output frame 1101, i.e. rows extending according to the note-set length 0803 of
Note the following functional equivalencies:
A count screen selector 1106 is the button to select the requisite count output display screen.
A requisite detail output frame 1201 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
A detail horizontal scrollbar 1202 enables controller-output which is longer than the requisite detail output frame 1201, i.e. the effect of all requisites of
A multiple of note-set indications 1203 shows each discarded note sequence prefix, the requisite which the sequence prefix did not meet, and the note-position at which the discard occurred. The note-set indications 1203 is an example of controlling-output indications, specifically outlet-effects.
When a note at a specific position is explicitly discarded by a requisite, all potential melodies to the right of that note are implicitly discarded. Implicit discards multiply combinatorially, and may be too numerous to describe individually. Explicit discards are simply the list of notes up to the note at which a requisite was not met, and may be less than the number of implicit discards. Explicit discards are described individually.
Requisite detail output gives a qualitative assessment of the effect of each requisite specified. For example, if an expected outlet-set has been discarded, the discarded outlet-set's note sequence prefix may be found, and a specific requisite identified which resulted in discarding that outlet-set.
Note the following functional equivalencies:
A detail screen selector 1206 is the button to select the requisite detail output display screen.
An echoic memory and composition polyphony frame 1301 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
An echoic memory note depth 1302 is the pulldown menu input, e.g. 1 note, 2 notes, 3 notes, etc, for the depth of echoic memory. I.e. echoic memory note depth 1302 is the span of past-time over which tracing is to be performed. The default value is 1.
A composition polyphony 1303 is structured as multiple columns of pulldown menu inputs, one menu for each musical part in the composition. The number of parts shown, 30, is suitable for compositions of size up to orchestral. Part label numbers denote the MIDI track number for that part. Each pulldown describes the degree of polyphony, e.g. 1 voice, 2 voice 3 voice, etc. A piano may be described as 10 voice, because each of 10 fingers is capable of striking a key, and each key may sound independently of the others. 0 voice indicates the part is not traced. The default value for all menus is 0.
Note the following functional equivalencies:
A polyphony screen selector 1306 is the button to select the echoic memory and composition polyphony inputs display screen.
Selections are structured as a 2 dimensional Cartesian square of parts. At each intersection between 2 parts, e.g. 1 & 3, a checkbox input is provided. Because the Cartesian square is symmetrical about the diagonal from upper-left to lower-right, there are no checkboxes below the diagonal.
Note that ellipses are shown on the right side and bottom, indicating each extends according to the 30 parts of
A part-to-part selection frame 1401 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen. This provides functional control.
A group of musical part-to-part associations 1402 is a grid of checkboxes, one checkbox for each possible combination of parts. Checkboxes below the diagonal are symmetric and redundent with those above the diagonal, and have been removed. The default value for all checkboxes is un-checked.
A selection vertical scrollbar 1403 and a selection horizontal scrollbar 1404 enable the selection of part-to-part combinations beyond the size of the part-to-part selection frame 1401.
Note the following functional equivalencies:
A part to part screen selector 1407 is the button to select the part-to-part combination inputs display screen.
A color chooser frame 1501 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
Each reference number is noted below as either a selection, or as an assignment. In brief, a color is selected, then assigned. A color may be selected by clicking on a specific color in a predefined color palette 1502. A color may also be selected using an RGB specification 1510 or an HSL specification 1511. A specific element may be assigned the selected color by clicking on its adjacent color-square. Any occurrence of that element in the interval grid 1604, the direction grid 1705, or the topology grid 1805, seen below in
A predefined color palette 1502 is a hexagonal collection of predefined colors. Any color in this collection may be selected.
A group of note intervals colors 1504 is a column of color assignments, one for each of the 12 intervals within an octave of 12 notes. These assignments are updated by the undo 1508 and the redo 1509 buttons. The default values are the colors shown.
A group of note-direction colors 1503 is a column of color assignments, one for each value of the note-directions 0902,
A group of note-topology colors 1505 is a column of color assignments. The first assignment is for all topological lines. The next five assignments are for each of five topological cycles. The quantity five is exemplary. These assignments are updated by the undo 1508 and the redo 1509 buttons. The default values are the colors shown.
An extended interval selector 1506 is a pulldown menu of intervals which exist beyond an octave of 12 notes, e.g. the note values C4 and C5 forming the interval 2:1. This selection is updated by the undo 1508 and the redo 1509 buttons. The default value is 2:1.
An extended interval color 1507 is the assigned color for the interval selected by the extended interval selector 1506. This assignment is updated by the undo 1508 and the redo 1509 buttons. The default value is the color shown. Note the functional dependency between the extended interval selector 1506 and the extended interval color 1507.
An undo 1508 is a button to un-do the most recent color assignment, up to a limit of 10. The quantity 10 is exemplary.
A redo 1509 is a button to re-do the most recently un-done color assignment, up to a limit of 10. The exemplary quantity 10 matches the quantity of the undo 1508. Note the functional dependency between the undo 1508 and the redo 1509.
An RGB specification 1510 is a column of 3 spin-controls with numeric subfields, one each for the Red, Green, and Blue components of a possible color. The numeric subfields are updated to match any color chosen using either the predefined color palette 1502 or the HSL specification 1511. This selection is not updated by the undo 1508 nor the redo 1509 buttons. The default values are R=127, G=127, B=127, matching the default for the current selected color 1512 below.
An HSL specification 1511 is a column of 3 spin-controls with numeric subfields, one each for the Hue, Saturation, and Lightness components of a possible color. The numeric subfields are updated to match any color chosen using either the predefined color palette 1502 or the RGB specification 1510. This selection is not updated by the undo 1508 nor the redo 1509 buttons. The default values are H=170, S=0, L=127, matching the default for a current selected color 1512.
A current selected color 1512 displays the current color selected using either the predefined color palette 1502, the RGB specification 1510, or the HSL specification 1511. This assignment is not updated by the undo 1508 nor the redo 1509 buttons. The default value is gray, matching the default for the RGB specification 1510 and the HSL specification 1511.
A previous selected color 1513 displays the previous color selected using either the predefined color palette 1502, the RGB specification 1510, or the HSL specification 1511. This assignment is not updated by the undo 1508 nor the redo 1509 buttons. The default value is black, matching the RGB specification 1510 of R=0, G=0, B=0, and the HSL specification 1511 of H=170, S=0, L=0.
Note the following functional dependencies:
Also note the following functional equivalencies:
A color screen selector 1516 is the button to select the color chooser and parameter configuration display screen.
An interval tracer frame 1601 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
An interval grid 1604 is a Cartesian square of cells displaying intervals for selected combinations of musical part, voice and echoic note count. In this example, the word “voice” is used in the sense of polyphony, e.g. a piano may be described as 10 voice, one voice per finger/key. While part, voice, and echoic note count may be considered as 3 separate dimensions of a Cartesian cube, for display purposes this example unrolls each dimension so that the Cartesian cube is presented as a 2 dimensional Cartesian square. The interval grid 1604 is unrolled as described above for the display space data structure 0711.
Each cell in the Cartesian square corresponds to the musical interval between 2 specific notes in the composition. The content of each cell is the color chosen for a given interval using the color chooser of
Coordinates within the 2 dimensional Cartesian square are triplets consisting of (musical part, musical voice, echoic memory note depth). A display cell is provided at each intersection between 2 triplets. Because the Cartesian square is symmetrical about the diagonal from upper-left to lower-right, there are no cells below the diagonal. Note that the diagonal cells, if present, would display the color for the identity interval of 1:1. Therefore they are also absent from the grid. Note also that ellipses are shown on the right side and bottom, indicating each extends according to the input parameters of
A group of interval column coordinates 1602 provides the vertical indexing for each cell in the grid as numeric values. These coordinates are labeled in the upper-left margins with the following legend:
A group of interval row coordinates 1603 provides the horizontal indexing for each cell in the grid, and is labeled with the same legend as the interval column coordinates 1602.
An interval legend 1605 shows the association between colors seen in the grid and each of 12 intervals. The number 12 is exemplary.
An interval vertical scrollbar 1606 and an interval horizontal scrollbar 1607 enable the display of grid cells beyond the size of the interval tracer frame 1601.
An interval screen pause button 1608 pauses updates to the tracer grid. An interval screen continue button 1609 continues updates to the tracer grid.
An interval screen start from file 1610 starts tracing with a previously-saved MIDI or MusicXML file. This opens a standard OS-level (e.g. Microsoft, Apple) load-file dialog. In loading a file for tracing, multiple porting-input indications are made. First, the porting-origin is indicated to be the selected file. Second, the porting-destination is indicated to be the tracer. In the exemplary plug-in computing device 0501, all porting-sets within the porting-origin file are traced. Note this file may have originated e.g. via the output to MIDI file 0815, or via the output to XML file 0816.
An interval screen stop from file 1611 stops tracing from the MIDI or MusicXML file.
An interval screen selector 1612 is the button to select the interval tracer grid display screen.
The cells of the interval grid 1604 change colors via movement between adjacent cells, subject to regional bounds on the grid. To illustrate this, refer now to
A 3×3 regional boundary of cells 2401 provides a fixed visual reference for the dynamic elements of
Visually, a color appearing at time T in cell[I, J], will move diagonally right/down into cell[I+1, J+1] at time T+1, but only if the destination cell is within the region. If the destination is out of the region, the color exits the tracer grid. New intervals shift into the region from the upper/left.
If an interval of interest is displayed on the grid, e.g. 7:5 coded red, the interval screen pause button 1608 of
Returning now, refer to
The direction-grid has a simpler structure than the interval-grid. Grid cells are structured as multiple 1 dimensional columns, each column a tuple consisting of (musical part, musical voice) on the vertical axis, and (echoic memory note depth) on the horizontal axis. Each column is traced independently, and its associated cells are maintained separately.
The color-encoded note-direction of each cell is determined by the note of that cell, and the note of the cell immediately below it. Visually, a color appearing at time T in cell[I, J], will move vertically down into cell[I, J+1], at time T+1. New note-directions shift into the column from the top.
Note that ellipses are shown on the right side and bottom, indicating each extends according to the input parameters of
A note-direction tracer frame 1701 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
A group of direction column coordinates 1702 provide the vertical indexing for each cell in the grid as numeric values. These coordinates are labeled in the upper-left with the following legend:
A group of direction row coordinates 1703 provide the horizontal indexing for each cell in the grid, and are labeled with this legend:
A direction legend 1704 shows the association between colors seen in the grid and each note-direction.
A direction grid 1705 is the grid, per se, of display cells. Each cell in the grid corresponds to the second note-direction between 2 specific notes in the composition. The content of each cell is the color chosen for a given direction using the color chooser of
The default cell color is gray. Each cell provides a popup screen of amplifying information if the user clicks on the cell. The popup screen with this amplifying information is described below with
A direction vertical scrollbar 1706 and a direction horizontal scrollbar 1707 enable the display of grid cells beyond the size of the note-direction tracer frame 1701.
Note the following functional equivalencies:
A direction screen selector 1712 is the button to select the note-direction tracer grid display screen.
Grid cells are structured as multiple 1 dimensional columns, each column a tuple of (musical part, musical voice) on the vertical axis, and (echoic memory note depth) on the horizontal axis. Each column is traced independently, and its associated cells are maintained separately.
A color may be assigned to each numerical instance of a topological cycle which may appear, first, second, third, etc. As described above, a cycle is defined to be two cells whose underlying notes are the same, e.g. C4. Cells which are not a member of any cycle are defined to be linear. Assignment may be made of a single color or shade, e.g. gray, for all cells which are linear. Cycles are denoted during tracing by the presence of 2 cells, in the same column, sharing the same color. If a cell is a member of any cycle within the column, then the content of that cell is the color chosen for that cycle using the color chooser of
The color-encoded note-topology of each cell is determined by the note of that cell, and the notes of all the cells below it. Visually, a color appearing at time T in cell[I, J], will move vertically down into cell[I, J+1], at time T+1. New note-topology elements shift into the column from the top.
Note that ellipses are shown on the right side and bottom, indicating each extends according to the input parameters of
A note-topology tracer frame 1801 is the frame for this display screen. It is labeled with a title bar in the upper-left corner, and has standard (Microsoft Windows or Apple) buttons in the upper right corner to minimize, maximize, or exit this display screen.
A group of topology column coordinates 1802 provide the vertical indexing for each cell in the grid as numeric values. These coordinates are labeled in the upper-left with the following legend:
A group of topology row coordinates 1803 provide the horizontal indexing for each cell in the grid, and are labeled with this legend:
A topology legend 1804 shows the association between colors seen in the grid and colors chosen using the color chooser of
Cycles are numbered 1, 2, 3, etc. simply by their time-ordered appearance within the column. Once all the cycle colors have been assigned to cells, color assignment begins anew with the first cycle's color. I.e. cycle colors are assigned modulo the number of cycle colors.
If a cell enters the column without membership in any cycle within the column, the cell's initial color is the linear color chosen using the color chooser of
The default cell color is gray. Each cell provides a popup screen of amplifying information if the user clicks on the cell. The popup screen with this amplifying information is described below with
A topology grid 1805 is the grid, per se, of display cells. Each cell in the grid corresponds to the second note-topology between 1 specific note, and all other notes sharing the same column with that note. Cells enter the column at the top, move down over time, and exit the column at the bottom. Note that “second note-topology” refers to a calculated correlation.
A topology vertical scrollbar 1806 and a topology horizontal scrollbar 1807 enable the display of grid cells beyond the size of the note-topology tracer frame 1801.
Note the following functional equivalencies:
A topology screen selector 1812 is the button to select the note-topology tracer grid display screen.
An interval tracer cell frame 1901 is the frame for this display screen. An interval details exit button 1902 is the button to exit this popup screen. A group of interval details playback times 1903 are the playback times of the two note values forming the interval for the selected cell. A group of interval details grid coordinates 1904 are the grid coordinates of the selected cell as musical part, musical voice, and echoic memory note depth. A group of interval notes 1905 are the note values forming the interval for the selected cell. An interval ratio 1906 is the interval for the selected cell.
A direction tracer cell frame 2001 is the frame for this display screen. A direction details exit button 2002 is the button to exit this popup screen. A group of direction details playback times 2003 are the playback times of the two notes for the selected cell. A group of direction details grid coordinates 2004 are the grid coordinates of the selected cell as musical part, musical voice, and echoic memory note depth. A group of current and previous notes 2005 are the current and previous note values forming the note-direction for the selected cell. A group total up/down/same 2006 is three counts of the number of notes Up, Down, and Same, respectively.
A topology tracer cell frame 2101 is the frame for this display screen. A topology details exit button 2102 is the button to exit this popup screen. A group of topology details playback times 2103 are the playback times of the two note values forming the interval for the selected cell. A group of topology details grid coordinates 2104 are the grid coordinates of the selected cell as musical part, musical voice, and echoic memory note depth. A topology note 2105 is the note for the selected cell. A percent cycles 2106 is the percentage of notes participating in cycles, up to the time of the note for the selected cell.
As noted in the Background above, the exemplary plug-in computing device 0501 of
As noted above, information conveyed in tracer grids includes colors assigned to intervals, note-directions, and note-topology. Appendix 07 describes an example workflow using the color chooser to make color assignments.
The operation of tracer grids involves both the VST2/AU host application 0401 and the exemplary plug-in computing device 0501. The VST2/AU host application 0401 is performing the playback of a full musical composition, while the exemplary plug-in computing device 0501 is being updated in near-synchrony with progression of the MIDI note data provided by the host. As described above, the VST2/AU standards describe 2 functional subsystems for the exemplary plug-in computing device 0501 as a plug-in: the device effect 0511, and the device editor 0502. The standards also describe the VST2/AU host application 0401 maintaining 2 processing threads for the exemplary plug-in computing device 0501, a higher-priority thread for processing audio data, and a lower-priority thread for updates of the user interface of the exemplary plug-in computing device 0501. Appendix 08 describes exemplary interaction between the VST2/AU host application 0401 and the exemplary plug-in computing device 0501 for updates to the interval tracer grid during playback of the musical composition.
Description of Processes
At 2503, controlling-input indications may be received, including one or more requisites of the outlet-sets, the requisites including selections from the group consisting of:
At 2504, a count of outlet-sets conforming, in one or more predetermined minimum degrees, to the requisites may be calculated and transmitted.
At 2505, a determination may be made if the count of outlet-sets is accepted. When the count is not accepted, the actions beginning at 2503 may be repeated. When the count is accepted, at 2506 set-functions may be formulated from set-parameters which include the requisites, and set-criteria set to the set-functions, to determine conformance in one or more degrees of outlet-sets to the requisites.
At 2507, controlling-output indications may be transmitted, including effects of the requisites upon the outlet, the effects including statistic indications and note-set indications.
At 2508, a determination may be made if one or more offpage functions are to be performed. When offpage functions are to be performed, the process 2501 may continue at 2601 on
Referring now to
At 2603, family-functions may be formulated from family-parameters which include the requisite-family associations, and family-criteria set to the family-functions, to determine conformance in one or more degrees of set-families to the requisite-family associations.
At 2604, a determination may be made if the requisite-family associations are to be revised. If the requisite-family associations are to be revised, the actions beginning at 2602 may be repeated. If the requisite-family associations are not to be revised, the process 2501 may continue at 2701 on
Referring now to
At 2703, porting-objects, which may include porting-sets which include musical notes, may be transferred from the porting-origins to the porting-destinations.
At 2704 a determination may be made if requisites are to be imputed. When requisites are not to be imputed, the process 2501 may continue at 2801 on
At 2706, the imputed requisites may be transmitted as imputed-output indications. The process 2501 may then continue at 2801 on
Referring now to
At 2803, tracing-output indications may be transmitted, including the correlations which include selections from the group consisting of:
At 2804, a determination may be made if the tracing is accepted. When the tracing is not accepted, the actions beginning at 2802 may be repeated. When the tracing is accepted, at 2805 a determination may be made if the requisites are to be revised.
If the requisites are to be revised, the actions beginning at 2503 on
A process for calculation of a set of imputed-requisites, given a porting-set, may be described by framing the above requisites as questions against the given porting-set:
Description of Plural Apparatus
For comparison with plural apparatus,
The single engine 2902 includes a list of single engine loop objects 2905, one loop-object for each note-position 1, 2, 3, . . . , each of the single engine loop objects 2905 generating one or more notes at a note-position within one or more outlet-sets generated by the single engine 2902. A single position 2901 shows the note-position of each of the single engine loop objects 2905 within the single engine 2902, and each of the notes within a single outlet-set 2904.
The single controller 2903 formulates one or more set-functions (not shown), and sets one or more set-criteria (not shown) to the set-functions, which determine conformance to one or more requisites (not shown). The set-criteria are evaluated within the single engine loop objects 2905. Control flow and evaluation of the set-criteria proceeds as shown by the arrows between the single engine loop objects 2905, and as noted above, is described in more detail in Appendix 02.
In
As background, in the art of music, melody is often referred to as the horizontal aspect of music. Harmony is referred to as the vertical aspect.
An assembling note position13101 indexes a list of assembling loop-objects13103 within an assembling engine13102, and also indexes an assembling engine set13104. An assembling controller13105 sets family-criteria evaluated by the assembling engine13102 to generate an in-progress assembling engine set13104, and transmits an assembling output indications13106 which include the outlet-effects of the requisites upon the engine. Once complete, the assembling engine set13104 is included within a member of a group of assembling set families 3122, for example a assembling set family 1233123, and another assembling engine set13104 is begun.
An assembling note position23107 indexes a assembling loop-objects23109 within an assembling engine23108, and also indexes an assembling engine set23110. An assembling controller23111 sets family-criteria evaluated by the assembling engine23108 to generate an in-progress assembling engine set23110, and transmits an assembling output indications23112. Once complete, the assembling engine set23110 is included within a member of the assembling set families 3122, again for example the assembling set family 1233123, and another assembling engine set23110 is begun.
An assembling note position33113 indexes a assembling loop-objects33115 within an assembling engine33114, and also indexes an assembling engine set33116. An assembling controller33117 sets family-criteria evaluated by the assembling engine33114 to generate an in-progress assembling engine set33116, and transmits an assembling output indications33118. Once complete, the assembling engine set33116 is included within a member of the assembling set families 3122, again for example the assembling set family 1233123, and another assembling engine set33116 is begun.
The in-progress assembling engine set13104 shows braces ({ }) at note position I+1 to signify that the assembling loop-objects13103 is currently operating within the note-range at that position. The in-progress assembling engine set13104 shows “TBD” at note position I+2 to signify that the assembling loop-objects13103 has not yet operated on the in-progress assembling engine set13104 at that position.
In this example, each member of the assembling set families 3122 includes 3 outlet-sets, and each outlet-set includes 5 musical notes. Also in this example, the assembling set families 3122 has 3 dimensions, an assembling engine1 dimension 3121, an assembling engine2 dimension 3120, and an assembling engine3 dimension 3119. For this example, the assembling engine1 dimension 3121 has cardinality 2, the assembling engine2 dimension 3120 has cardinality 3, and the assembling engine3 dimension 3119 has cardinality 4. The assembling set family 1233123 is the set-family at coordinates (1, 2, 3).
Note that in assembling the members of assembling set families 3122, the engines generate a given outlet-set multiple times, once for each set-family which includes the outlet-set. For example, for all set-families having the assembling engine1 dimension 3121 coordinate of 1, the set-families also include the same assembling engine set13104, in this example, “G4 A4 D4 C4 E4”. For set-families having the assembling engine1 dimension 3121 coordinate of 2, the set-families will have a different assembling engine set13104, not shown. Further details are provided with
As an example scalar requisite, consider the maximum note-distance 0804 of
A scalar controller1 distance 3302 corresponds with evaluation of a family-criteria for the exemplary maximum note-distance of 8, between the engine 1, note I, and the engine 1, note I−1. Additional family-criteria may be evaluated for the distance between the engine 1, note I, and each of the following:
A group of scalar comparisons 3403 is a grid of cells, one cell for each of the family-criteria of the 3 engines. A group of scalar vertical coordinates 3401 and a group of scalar horizontal coordinates 3402 show the outlet-sets (ES1, ES2, ES3) and note index (I, J, K) for each cell in the grid. For each cell with no legend, one or more plurality-input indications are made, specifically requisite-family associations, as to whether the corresponding family-criteria is to be evaluated, or not. Cells with the legend “EBD” are indicated by definition of the maximum note-distance 0804 of
Note that the scalar controller2 distance 3305 and the scalar controller3 distance 3308 each has its own grid of cells (not shown), analogous to the scalar comparisons 3403. This is because each controller has its own independent requisites.
As an example 1 dimensional requisite, consider the absent musical intervals 0907 of
The single 1D intervals 3503, currently at note position 3, corresponds with evaluation of the following 4 set-criteria:
A 1-D engine1 intervals 3602 corresponds with evaluation, first, of the following 4 family-criteria:
Additional family-criteria may be evaluated for the intervals between engine 1, note I, and each of the following:
Similar family-criteria exist for a 1-D engine2 intervals 3605 and a 1-D engine3 intervals 3608, each with independent values.
A group of 1-D comparisons 3703 is a grid of cells, one cell for each of the family-criteria of the 3 engines. A group of 1-D vertical coordinates 3701 show the outlet-sets (ES1, ES2, ES3) and note index (I, J, K) for each column in the grid. A group of 1-D horizontal coordinates 3702 show the outlet-sets (ES1, ES2, ES3), note index (I, J, K), and interval (7:5, 8:5) for each row in the grid. Note that index factors of −1 and −2 reflect the fact that the echoic memory for absent intervals 0909 of
Note that the 1-D engine2 intervals 3605 and the 1-D engine3 intervals 3608 of
As an example 2 dimensional requisite, consider the interval-set presence/absence 1003 of
A 2-D engine1 intervals 3902 corresponds with evaluation, first, of the following 2 family-criteria:
A 2-D comparisons 4003 is a grid of cells, one cell for each of the family-criteria of the 3 engines. A group of 2-D vertical coordinates 4001 show the outlet-sets (ES1, ES2, ES3) and note index (I, J, K) for each column in the grid. A group of 2-D horizontal coordinates 4002 show the outlet-sets (ES1, ES2, ES3), note index (I, J, K), and interval (3:2, 4:3) for each row in the grid. For each cell with no legend, one or more plurality-input indications are made, specifically requisite-family associations, as to whether the corresponding family-criteria is to be evaluated, or not. Cells with the legend “ID” are identity-comparisons, resulting in the interval 1:1, and have no relevant family-criteria. Cells with the legend “EBD” are indicated by definition of the interval-set presence/absence 1003 inputs above, for this example. As with
Note that the 2-D engine2 intervals 3905 and the 2-D engine3 intervals 3908 of
For all loop objects except the CF engine1 loop-object14101, the loop objects originate further evaluation of family-criteria of requisites associated with set-families. This is described with
Assembly then flows from the CF engine3 loop-object14105 to a CF engine1 loop-object24102. Assembly flow also proceeds from the CF engine1 loop-object24102, to a CF engine2 loop-object24103, then to a CF engine3 loop-object24104. The ellipsis indicates continuation for an input note-set length 0803 of
The FC engine3 loop-object24204 evaluates family-criteria to determine conformance of the set-family being assembled to the requisite-family associations of the FC engine34207's controller (not shown). If any family-criteria is false, an appropriate indication returns back to the originating loop-object, which then discards its current note within the note-range, and loops to its next note. If all family-criteria at the FC engine3 loop-object24204 are true, and if the outlet-set and the current note are within scope of a prior loop-object, then evaluation flows from the FC engine3 loop-object24204 back to an FC engine2 loop-object24203 of an FC engine24208. The FC engine2 loop-object24203, and an FC engine1 loop-object24202 of an FC engine14209, also evaluate family-criteria subject to scope, as do an FC engine3 loop-object14205, an FC engine2 loop-object14206, and an FC engine1 loop-object14201.
If all family-criteria at the FC engine1 loop-object14201 are true, an appropriate indication returns back to the originating loop-object, which then accepts its current note within the note-range, and evaluation flows to the next loop object, as described above in
Description of Plural Process
The process 4301 may begin at 4302 with the first loop-object of the first engine. Each loop-object may perform its own instance of process 4301 as described below. The process 4301 for a current loop-object may end at 4309 when assembly is completed by the loop-object for all notes within a note-range requisite of the controller of the loop-object's engine. The process 4301 for all loop-objects may end at 4309 when assembly is completed by all loop-objects of the plurality of engines for all notes within a respective note-range requisite of each engine's controller. Note-range requisites are input via the lowest note 0805 and the highest note 0806 of
At 4303, the process 4301 may begin a loop to process each note within the note-range requisite of the controller of the current loop-object's engine.
At 4304, the current outlet-set and current note of the current loop object may be passed to process 4401 of
At 4305, a determination of the result of the evaluation may be made. When the result of the evaluation is false, the loop at 4303 may continue with the next note within the note-range. When the result of the evaluation is true, at 4306 the note may be placed within the outlet-set at the current note position of the current loop-object.
At 4307, a determination may be made whether the current loop-object is linked to a next loop-object, e.g. as shown above, with the CF engine1 loop-object14101 of
When the linked-to next loop-object completes it own instance of process 4301, the loop at 4303 may continue with the next note within the note-range. When the loop at 4303 completes processing of all notes within the note-range, the process 4301 for the current loop-object may end at 4309.
The process 4401 may begin at 4402 with the first loop-object of the first engine. Each loop-object may perform its own instance of process 4401 as described below. The process 4401 for a current loop-object may end at 4410 when evaluation is completed by the loop-object for all family-criteria on the outlet-set and note. The process 4401 for all loop-objects may end at 4410 when evaluation is completed by all loop-objects of the plurality of engines for which the outlet-set and note are within scope. The scope is derived from the requisite-family associations.
At 4403, the process 4401 may begin a loop to evaluate family-criteria of the controller of the current loop-object's engine.
At 4404, the current family-criterion may be evaluated on the outlet-set and note, and a determination may be made whether the outlet-set and note conform to the requisite-family association. When the outlet-set and note do not conform to the requisite-family association, the result of false may be returned at 4408, and the process 4401 for the current loop-object may end at 4410. When the outlet-set and note do conform to the requisite-family association, the loop at 4403 may continue with the next family-criterion within the family-criteria.
When the loop at 4403 completes evaluating family-criteria of the current loop object's controller, at 4405 a determination may be made whether the outlet-set and note are within scope of a prior loop-object. When the outlet-set and note are not within scope of a prior loop-object, the result of true may be returned at 4409, and the process 4401 for the current loop-object may end at 4410. When the outlet-set and note are within scope of a prior loop-object, at 4406 the process 4401 may continue to the prior loop-object, and the prior loop-object may perform its own instance of process 4401. The continuation to a prior loop-object is shown above, e.g. from the FC engine3 loop-object24204 of
At 4407, a determination of the result of the evaluation by the prior loop-object may be made. When the evaluation is false, the result of false may be returned at 4408, and the process 4401 for the current loop-object may end at 4410. When the evaluation is true, the result of true may be returned at 4409, and the process 4401 for the current loop-object may end at 4410.
Description of Process Using Plural Engines
As described above, harmony as well as melody may be generated by using plural engines, i.e. multiple voices in polyphony. Each engine creates one or more outlet-sets. Consider an example outlined by the following workflow:
Subsequently, the outlet-set included within the melody is read from the melody storage-device 4504, and recited as a predefined outlet-set14506. Referring to
Referring back to
A set of harmony engine2 requisites 4508 and a set of harmony engine3 requisites 4511 are then associated with the set-families for the three engines, as described above for
Description of Alternative Apparatus.
In the examples of
In this example, the pre-existing outlet-sets have an exemplary value of 7 for note-set length 0803 of
The nodes at the first level of the root trie 4601 are organized left to right by ascending interval 4602 distance, i.e 1:1, 16:15, 9:8, etc. Each respective node at the first level includes zero or more links to a group of nodes at the second level. The linked-to nodes in the group each have an interval 4602 distance greater than the linked-from node, and the group is organized left to right by ascending interval 4602 distance. Each node at levels 2 thru 5 is linked to a group of nodes at the subsequent level. The interval 2:1 has the greatest interval distance, and nodes with interval 4602 of 2:1 have zero links to subsequent nodes. All the descendants of a node have a common prefix of the intervals upon the path to that node. Ellipses indicate that only a subset of the nodes and links of the root trie 4601 are shown. However it should be understood the root trie 4601 is fully populated, as described above.
The absent intervals characteristic vector 4603 of each node is a sorted list of unique interval-values, known to be absent, for a path terminating at that node. An absent intervals characteristic vector 4603 is referred to below as an AICV. Each link to note direction index table 4604 links to a note direction index table 4701 of
The note direction characteristic vector 4702 is a base-3 6-digit value. Recall that a note-direction can have one of 3 possible values, and the exemplary 7-note outlet-sets have 6 note-directions. Each link to note topology index table 4703 links to a note topology index table 4704.
The note topology index tables 4704 include multiple rows, each row including a note topology characteristic vector 4705 and a link to interval position trie 4706.
The note topology characteristic vector 4705 is a numeric value in the range of 1 to 7-factorial. Recall that the exemplary 7-note outlet-sets have 7 possible note-topology values, 1, 2, 3, 4, 5, 6, 7, respectively. Calculation of a note topology characteristic vector 4705 is analogous to calculating an address in a multi-dimensional array of dimensions [1][2][3][4][5][6][7]. Each link to interval position trie 4706 links to an interval position trie 4801 of
A given interval-value, e.g. 3:2, can occur at more than one possible interval position. Therefore each interval-instance in the signed-interval set is encoded with an interval code table 4809, associated with the interval position trie 4801. In the exemplary interval position trie 4801, there are 5 interval-values, known from the path thru the root trie 4601 of
The interval position trie 4801 contains 1 level for each of the corresponding 6 interval-positions within the signed-interval sets. For each node on a given path thru the interval position trie 4801, the links to the nodes at the next level are determined by the remaining possible interval-instances which have not appeared on that path. Each of the 5 known interval-values must appear at least once on a full path thru the interval position trie 4801. A second instance of an interval-value can only appear after its first appearance, and second instances do not appear at level 1. Links on partial paths show the possible interval-instances for a given originating node shown in the interval position trie 4801.
Each link to signed interval sets 4805 links to storage for one or more signed-interval sets, e.g. the interval set 4806. The contiguity flag 4803 and quota flag 4804 are described below with
One full path thru the interval position trie 4801 is shown, for an exemplary interval set 4806, which includes a first 3:2, a 5:3, a 2:1, a 4:3, a second 3:2, and a 5:4. The second 3:2 at level 54807 is shown with a necessary link to level 6, i.e. the link to include a first 5:44808 upon the full path.
Ellipses indicate that only a subset of the nodes and links of the interval position trie 4801 are shown. However it should be understood the interval position trie 4801 is fully populated, as described above.
Three additional datastructures, not shown, are associated with each interval position trie 4801. These datastructures are the link-traversal table, the checklist, and the semaphore table.
The link-traversal table, referred to below as the LT table, is a 3-dimensional array of boolean flags, one flag for each of the possible interval-pairs among the maximum of 6 intervals present in the interval position trie 4801, at the 5 possible interval-positions. Interval-values are sorted and encoded as integers. A row of the LT table is indexed by the encoded interval-value of a parent node. A column of the LT table is indexed by the encoded interval-value of a child node linked to by the parent. A level of the LT table is indexed by the level, i.e. interval-position, of the pair within the interval position trie 4801. The LT table and its associated functions are described in Appendix 09.
The checklist is a 4-dimensional array of cells, one cell for each of the possible interval-triplets among the maximum of 6 intervals present in the interval position trie 4801, at the 5 possible interval-positions Interval-values are sorted and encoded as integers. A row of the checklist is indexed by the interval-position of a parent node. A column of the checklist is indexed by the numeric values 1 and 2, corresponding to 2 possibilities for interval 3a and interval 3b in the interval-set presence/absence 1003. The 3rd and 4th dimensions of the checklist are indexed by the encoded first and second interval-values of the triplet. The checklist and its associated functions are described in Appendix 09.
The semaphore table is a 1-dimensional array of semaphores, one semaphore for each of the possible interval-values among the maximum of 6 intervals present in the interval position trie 4801. Interval-values are sorted and encoded as integers. The semaphore table is indexed by the encoded interval-values. Each semaphore is a counting semaphore, initialized to the maximum number of instances possible in the interval position trie 4801. In the exemplary interval position trie 4801 of
Description of Processes with Alternative Apparatus
The process 4901 may begin at 4902 when the first pre-existing outlet-set is to be loaded into the database, and may end at 4909 when the last pre-existing outlet-set has been loaded into the database.
At 4903 process 4901 may begin a loop to load each of the pre-existing outlet-sets into the database.
At 4904, the exemplary 7 notes of the outlet-set may be encoded into a signed-interval set, where the note-direction “up” may be “+”, “down” may be “−”, and “same” may be an aspect of the interval 1:1.
At 4905, a determination may be made whether the signed-interval set has been previously stored in the database, i.e. the notes of the current outlet-set are a transposition of the notes of a previous outlet-set. When the signed-interval set has been previously stored in the database, the loop at 4903 may continue with the next generated outlet-set.
At 4906, a sorted list may be formed of the unique interval-values in the signed-interval set, in ascending interval distance.
At 4907, a path thru the root trie 4601 of
At 4908, the current node's link to note direction index table 4604 may be traversed to a note direction index table 4701 of
When the loop at 4903 has loaded the last pre-existing outlet-set into the database, the process 4901 may end at 4909.
Referring now to
At 5002, the note direction index table 4701 of
At 5003, the current row's link to a note topology index table 4703 of
At 5004, a note topology characteristic vector 4705 of
At 5005, the note topology index table 4704 of
At 5006, the current row's link to interval position trie 4706 of
Referring now to
At 5102, the sorted list of interval-instances may be encoded using the interval position trie 4801's interval code table 4809 of
At 5103, a path thru the interval position trie 4801 of
At 5104, the current node's link to signed interval sets 4805 may be traversed to a storage for one or more signed-interval sets.
At 5105, the signed-interval set for this outlet-set may be stored, the process 4901 may continue at 4903 of
The process 5201 may begin at 5202 when one or more requisite inputs have been received for outlet-sets to be retrieved from the database, and may end at 6005 when all the outlet-sets conforming to the requisites have been retrieved from the database, decoded into outlet-sets, and output.
At 5203 a sorted list may be formed of the unique interval-values in the present musical intervals 0906 requisite inputs of
At 5204 the process 5201 may begin a loop for each node of a left-most, depth-first walk of the root trie 4601 of
At 5205 a determination may be made whether all the intervals in the sorted list are on the current sub-path. Note that when the sorted list is null, i.e. the present interval inputs are null, then this determination results in true for all sub-paths. When all the intervals in the sorted list are on the current sub-path, at 5206 a determination may be made whether the AICV of the current node is equal to, or a superset of, the absent musical intervals 0907 requisite input of
When the AICV of the current node is equal to, or a superset of, the absent musical intervals 0907, at 5207 the current node's link to note direction index table 4604 to a note direction index table 4701 of
Referring back to the determination at 5205, when all the intervals in the sorted list are not on the current sub-path, at 5208 the least missing-interval on the current sub-path may be calculated.
At 5209 at determination may be made whether the interval of the current node is greater than the least missing-interval. When the interval of the current node is greater than the least missing-interval, at 5210 the walk may backtrack from the current node, and the loop at 5204 may continue with the next node of the walk. When the interval of the current node is not greater than the least missing-interval, at 5211 the walk may continue from the current node, and the loop at 5204 may continue with the next node of the walk.
When the loop at 5204 has completed for each node of the left-most, depth-first walk of the root trie 4601 of
Referring now to
At 5302 the NDCV may be added as an initial member to a list of NDCVs.
At 5303 the list of NDCVs may be expanded by powers of 3 to resolve all wild-cards in the NDCVs of the list.
At 5304 the process 5201 may begin a loop for each NDCV in the list.
At 5305 a row of the current note direction index table 4701 of
At 5306 the current row's link to note topology index table 4703 of
When the loop at 5304 has completed for each NDCV in the list, the loop may exit, and the process 5201 may continue at 5211 of
Referring now to
At 5402 the NTCV may be added as an initial member to a list of NTCVs.
At 5403 the list of NTCVs may be expanded by multiples to resolve all wild-cards in the NTCVs of the list.
At 5404 the process 5201 may begin a loop for each NTCV in the list.
At 5405 a row of the current link to note topology index table 4703 of
At 5406 the current row's link to interval position trie 4706 of
When the loop at 5404 has completed for each NTCV in the list, the loop may exit, and the process 5201 may continue at 5304 of
Referring now to
At 5502 the process 5201 may call the function mark_checkboxes_in_use( ) which is described in detail in Appendix 10. The function mark_checkboxes_in_use( ) marks all checkboxes which are in-use for interval 3a and interval 3b positions indicated by all present interval inputs in interval-set presence/absence 1003 of
At 5503 the process 5201 may begin a loop for a left-most, depth-first walk of the interval position trie 4801.
At 5504 the LT table may be indexed by the link to the current node, where the LT table row equals the parent node's interval-value, the column equals the current node's interval-value, and the level equals the current node's level in the interval position trie 4801.
At 5505, a determination may be made whether the link to the current node is marked false in the LT table. When the link to the current node is not marked false in the LT table, the process 5201 may continue at 5601 of
When the loop at 5503 has completed for each node of the left-most, depth-first walk of the interval position trie 4801, the loop may exit, and the process 5201 may continue at 5901 of
Referring now to
At 5602, the semaphore may be decremented.
At 5603, the process 5201 may call the function test_and_set_checkbox( ), which is described in detail in Appendix 10. The function test_and_set_checkbox( ) examines whether a checkbox is in-use for an interval 3a or an interval 3b position, and if so, sets the checkbox to a given value, at this step, true.
At 5604, the process 5201 may call the function all_PCSI_inputs_checked( ), which is described in detail in Appendix 10. The function all_PCSI_inputs_checked( ) examines the logical combination of checkboxes for interval 3a and interval 3b positions indicated by all present interval inputs in interval-set presence/absence 1003 of
At 5605, a determination may be made whether all PCSI inputs have been checkboxed true for the current sub-path. When all PCSI inputs have not been checkboxed true for the current sub-path, the process 5201 may continue at 5701 of
Referring now to
At 5704 the walk may backtrack from the current node.
At 5705 the contiguity flag 4803 of
Referring now to
At 5803 a determination may be made whether any PCSI input has been checkboxed true for the link to the current node.
When no PCSI input has been checkboxed true for the link to the current node, the loop at 5503 may continue with the next node of the walk. When any PCSI input has been checkboxed true for the link to the current node, at 5804 the process 5201 may call the function test_and_set_checkbox( ) with the value of false, and the loop at 5503 of
Referring now to
At 5902 the LT table may be indexed by the link to the current node, where the LT table row equals the parent node's interval-value, the column equals the current node's interval-value, and the level equals the current node's level in the interval position trie 4801.
At 5903 a determination may be made whether the link to the current node is marked false in the LT table. When the link to the current node is marked false in the LT table, at 5904 the walk may backtrack from the current node, and the loop at 5901 may continue with the next node of the walk. When the link to the current node is not marked false in the LT table, at 5905 a determination may be made whether the current node's contiguity flag is true.
When the current node's contiguity flag is not true, the loop at 5901 may continue with the next node of the walk. When the current node's contiguity flag is true, at 5906 a determination may be made whether the current node's quota flag is true.
When the current node's quota flag is not true, the loop at 5901 may continue with the next node of the walk. When the current node's quota flag is true, the process 5201 may continue at 6001 of
When the loop at 5901 has completed for each node of the left-most, depth-first walk of the interval position trie 4801, the loop may exit, and the process 5201 may continue at 5404 of
Referring now to
At 6002 all the signed-interval sets may be appended to a decode buffer, the process may continue at 5904 of
Upon completion of the loop at 5204 of
At 6004 the outlet-sets may be output, and the process may end at 6005.
Description of Plural Alternative Apparatus.
In this example, 3 controllers are described as a representative plurality. Each controller is shown walking in an interval-position trie 4801 of
A controller16102 is shown in a walk in an interval position trie16101. The controller16102 has traversed thru trie1 level1 nodes 6113, and found that the node labelled 1 meets both the requisite inputs of the controller16102, and requisite-family associations within the scope of controller16102. The scope is derived from the requisite-family associations. The requisite inputs are described above with
The controller16102 has formulated set-functions from set-parameters which include requisite inputs, and has set set-criteria to the set-functions, for usage with a controller1 walk-state datastructure 6107. The controller1 walk-state datastructure 6107 includes the link-traversal table, the checklist, and the semaphore table described above associated with
The controller16102 has formulated family-functions from family-parameters which include the requisite-family associations, and has set family-criteria to the family-functions, for usage with a controller1 family-criteria datastructure 6109. The controller1 family-criteria datastructure 6109 includes the note of each of the nodes on the controller's current sub-path, derived from the signed-intervals of the nodes and the starting note 0802 of
A controller26104 is shown in a walk in an interval position trie26103 with an associated controller2 walk-state datastructure 6108 and an associated controller2 family-criteria datastructure 6110. The controller26104 has traversed thru trie2 level1 nodes 6114, and found that the node labelled 2 meets both the requisite inputs of the controller26104, and requisite-family associations within the scope of controller26104.
A controller36106 is shown in a walk in an interval position trie36105 with an associated controller3 walk-state datastructure 6111 and an associated controller3 family-criteria datastructure 6112. The controller36106 has traversed thru trie3 level1 nodes 6115, and found that the node labelled 3 meets both the requisite inputs of the controller36106, and requisite-family associations within the scope of controller36106.
The controller16102, the controller26104, and the controller36106 have also traversed thru the nodes labelled 4, 5, 6 of trie1 level2 nodes 6116, trie2 level2 nodes 6117, and trie3 level2 nodes 6118, respectively. Each of the nodes 4, 5, 6, meets the requisite inputs and the requisite-family associations of the respective controller. Ellipses indicate that levels 3, 4 and 5 are not shown.
The controller16102, controller26104, and controller36106 have also traversed to the nodes labelled 16, 17, 18 of trie1 level6 nodes 6119, trie2 level6 nodes 6120, and trie3 level6 nodes 6121, respectively. Each of the nodes 16, 17, 18, meets the requisite inputs and the requisite-family associations of the respective controller.
Upon traversal of fulls paths to level 6 nodes by all 3 controllers, the note data included in each of the 3 controller family-criteria datastructures is included in a complete outlet-set. The 3 outlet-sets are collectively included in a set-family, which is output.
Description of Plural Processes with Alternative Apparatus
The process 6201 may begin at 6202 when one or more requisite inputs, and one or more requisite-family association inputs, have been received by the controllers for outlet-sets to be retrieved from the database. The process 6201 may end at 6209 when all the set-families, which include outlet-sets, conforming to the requisites and to the requisite-family associations have been retrieved from the database, and output.
At 6203 the process 6201 may begin a loop for each interval position trie 4801 of
When the loop at 6203 has completed for each interval-position trie conforming to the C1 requisites, the loop may exit, and the process 6201 may end at 6209.
At 6204 the process 6201 may begin a loop for each interval position trie 4801 of
When the loop at 6204 has completed for each interval-position trie conforming to the C2 requisites, the loop may exit, and the process 6201 may continue at 6803 of
At 6205 the process 6201 may begin a loop for each interval position trie 4801 of
When the loop at 6205 has completed for each interval-position trie conforming to the C3 requisites, the loop may exit, and the process 6201 may continue at 6703 of
At 6206 the process 6201 may begin a loop for each level L in the 3 parallel interval position trie 4801s of 6203, 6204, and 6205. In this example the last interval-position (I-P) trie level is 6.
When the loop at 6206 has completed for each level L in the 3 interval position trie 4801s, the loop may exit, and the process 6201 may continue at 6603 of
At 6207 a flag regarding the presence of a conformant node in the C1 trie of the loop at 6203 may be initialized to false.
At 6208 the process 6201 may begin a loop for each C1 node at level L of the C1 trie, and the process may continue at 6301 of
When the loop at 6208 has completed for each C1 node at level L, the loop may exit, and the process 6201 may continue at 6801 of
Referring now to
When the current C1 node conforms to the C1 requisites, at 6302 a determination may be made whether the current C1 node conforms to the C1 requisite-family associations (RFAs). When the current C1 node does not conform to the C1 requisite-family associations, the loop at 6208 of
When the current C1 node conforms to the C1 requisite-family associations, at 6303 the flag regarding the presence of a conformant node in the C1 trie of the loop at 6203 of
At 6304 a flag regarding the presence of a conformant node in the C2 trie of the loop at 6204 may be initialized to false.
At 6305 the process 6201 may begin a loop for each C2 node at level L of the C2 trie, and the process may continue at 6401 of
When the loop at 6305 has completed for each C2 node at level L, the loop may exit, and the process 6201 may continue at 6701 of
Referring now to
When the current C2 node conforms to the C2 requisites, at 6402 a determination may be made whether the current C2 node conforms to the C2 requisite-family associations (RFAs). When the current C2 node does not conform to the C2 requisite-family associations, the loop at 6305 of
When the current C2 node conforms to the C2 requisite-family associations, at 6403 the flag regarding the presence of a conformant node in the C2 trie of the loop at 6204 of
At 6404 a flag regarding the presence of a conformant node in the C3 trie of the loop at 6205 may be initialized to false.
At 6405 the process 6201 may begin a loop for each C3 node at level L of the C3 trie, and the process may continue at 6501 of
When the loop at 6405 has completed for each C3 node at level L, the loop may exit, and the process 6201 may continue at 6601 of
Referring now to
When the current C3 node conforms to the C3 requisites, at 6502 a determination may be made whether the current C3 node conforms to the C3 requisite-family associations (RFAs). When the current C3 node does not conform to the C3 requisite-family associations, the loop at 6405 of
When the current C3 node conforms to the C3 requisite-family associations, at 6503 the flag regarding the presence of a conformant node in the C3 trie of the loop at 6205 of
At 6504 a determination may be made whether level L equals the last interval-position trie level. When level L does not equal the last interval-position trie level, the loop at 6405 of
Referring now to
At 6603, the process 6201 may resume with the next interval-position trie conforming to the C3 requisites, and the process may continue with the loop at 6205 of
Referring now to
At 6703, the process 6201 may resume with the next interval-position trie conforming to the C2 requisites, and the process may continue with the loop at 6204 of
Referring now to
At 6803, the process 6201 may resume with the next interval-position trie conforming to the C1 requisites, and the process may continue with the loop at 6203 of
Closing Comments
Throughout this description, the embodiments and examples shown should be considered as exemplars, rather than as limitations on the apparatus and procedures disclosed or claimed.
Although the examples presented above involve multiple kinds of sets ordered in time as sequences, the exemplary ordering should not be construed as a limitation on the apparatus and procedures disclosed or claimed
Although the examples presented above involve conformance to requisites, and to requisite-family associations, to a predetermined degree of true/false, the degree of true/false should be considered as exemplary, rather than as a limitation on the apparatus and procedures disclosed or claimed.
Although the examples presented above involve specific combinations of method acts or system elements, it should be understood that those acts and those elements may be combined in other ways to accomplish the same objectives.
Regarding flow charts and program design language, additional and fewer steps may be taken, and the steps as shown may be combined or further refined to achieve the methods described herein. Elements, acts, and attributes discussed only in connection with one embodiment are not intended to be excluded from a similar role in other embodiments.
As used herein, whether in the written description or the claims, the term “data” is intended to include digital data, commands, instructions, subroutines, functions, digital signals, analog signals, optical signals and any other data that may be used to communicate the value of one or more parameters.
As used herein, whether in the written description or the claims, “plurality” indicates two or more. As used herein, whether in the written description or the claims, a “set” of items may include one or more of such items. As used herein, whether in the written description or the claims, the terms “comprising”, “including”, “having”, “containing”, “involve”, and the like are to be understood to be open-ended, i.e., to mean including but not limited to. Only the transitional phrase “consisting of” is a closed or semi-closed transitional phrase with respect to claims.
Use of ordinal terms such as “first”, “second”, etc., whether in the claims or the written description, to modify a claim element does not, by itself, connote any priority, precedence, or order of one claim element relative to another, nor the temporal order in which acts of a method are performed, but are used merely as labels to distinguish one claim element having a certain name from another element having a same name (but for use of the ordinal term) to distinguish the claim elements.
As used herein, the term “and/or” indicates that the listed items are alternatives, but the alternatives also include any combination of the listed items.