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Music formulation Number:6,984,781 from the United States Patent and Trademark Office (PTO) owispatent

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Title: Music formulation

Abstract: A method for formulating music, methods for formulating individual musical elements for utilization in formulating music, and methods for expanding and/or modifying the musical elements for utilization in formulating music. The musical elements are mathematically derived from origination elements as non-limitedly exemplified by intervals, chords, chord progressions, arpeggios, and instruments, thereby providing a vast array of new elements as attained from mathematical manipulations of such origination elements.

Patent Number: 6,984,781 Issued on 01/10/2006 to Mazzoni


Inventors: Mazzoni; Stephen M. (22 Brandon Ave., Ewing, NJ 08618)
Appl. No.: 384819
Filed: March 10, 2003

Current U.S. Class: 84/613; 84/609; 84/610; 84/615; 84/649; 84/650; 84/653
Current Intern'l Class: G10H 7/00     (20060101); G10H 1/38     (20060101)
Field of Search: 84/600-603,609-613,615-616,634-637,649-654,666-669


References Cited [Referenced By]

U.S. Patent Documents
5451709Sep., 1995Minamitaka.
5753843May., 1998Fay.
5783767Jul., 1998Shinsky.
6051770Apr., 2000Milburn et al.
6060655May., 2000Minamitaka.
6143971Nov., 2000Aoki et al.
2001/0025561Oct., 2001Milburn et al.
2004/0112203Jun., 2004Ueki et al.

Primary Examiner: Fletcher; Marlon T.
Attorney, Agent or Firm: Naber; Thomas C.

Parent Case Text



CROSS-REFERENCE TO RELATED APPLICATIONS

This application is a continuation-in-part of U.S. patent application Ser. No. 10/099,491, filed Mar. 13, 2002, now abandoned.
Claims



What is claimed is:

1. A method for formulating music, the method comprising:

the steps of providing for subsequent choice a plurality of pre-set musical-instrument objects for formulating music, providing a mathematical framework for formulating new musical-instrument objects for formulating music, choosing one of said pre-set musical-instrument objects or applying said mathematical framework to formulate for subsequent choice a new musical-instrument object equal to one of said musical-instrument objects formulatable using said mathematical framework, and choosing said new musical-instrument object;

the steps of providing for subsequent choice a plurality of chord-progression mathematical relationships for generating chord progressions and determining identity and order of notes of each chord in a generated chord progression, choosing one of said chord-progression mathematical relationships, and applying said chosen chord-progression mathematical relationship to generate a new chord progression equal to all chord progressions formulatable using said chosen chord-progression mathematical relationship;

the steps of providing one or more multiple-note origination chords, determining a mathematical relationship among said notes of each origination chord for determining identity and order of said notes of each origination chord, determining a scale-context mathematical relationship for determining compatible context scales with each origination chord, and applying each scale-context mathematical relationship to each origination chord to develop for subsequent choice a plurality of compatible context scales equal to all compatible context scales formulatable using said origination chords and said scale-context mathematical relationships;

the steps of providing one or more multiple-note origination scales, determining a mathematical relationship among said notes of each origination scale for determining identity and order of said notes of each origination scale, determining a chord-context mathematical relationship for determining compatible context chords with each origination scale, and applying each chord-context mathematical relationship to each origination scale to develop for subsequent choice a plurality of compatible context chords equal to all compatible context chords formulatable using said origination scales and said chord-context mathematical relationships;

the step of choosing at least one of a newly formulated chord progression, compatible context scale, and a compatible context chord from said subsequent choices for utilization for formulating said music; and

the step of choosing at least one set of steps selected from the sets of steps consisting of:

a) a set of steps of projecting a viewable image of said subsequent choice and saving said choice for future recall;

b) a set of steps of choosing one of said compatible context scales, determining a mathematical relationship among the notes of the chosen context scale for determining identity and order of the notes of the chosen context scale, determining a context-chord expansion mathematical relationship for determining context chords compatible with the chosen context scale, and applying the context-chord expansion mathematical relationship to the chosen context scale to develop for subsequent choice a plurality of context chords equal to all context chords formulatable using the chosen context scale and said context-chord expansion mathematical relationship;

c) a set of steps of choosing one of said compatible context scales, determining a mathematical relationship among the notes of the chosen context scale for determining identity and order of the notes of the chosen context scale, determining a scale-chord build-pattern mathematical relationship for generating scale chords compatible with the chosen context scale, and applying the scale-chord build-pattern mathematical relationship to the chosen context scale for developing for subsequent choice a plurality of scale chords equal to all scale chords formulatable using the chosen context scale and said scale-chord build-pattern mathematical relationship;

d) a set of steps of determining a chord-scale mathematical relationship for determining chord scales for each origination chord, and applying each chord-scale mathematical relationship to each origination chord for developing for subsequent choice a plurality of chord scales equal to all chord scales formulatable using said origination chords and said chord-scale mathematical relationships;

e) a set of steps of determining a substitute-chord mathematical relationship for determining substitute chords for each origination chord, and applying each substitute-chord mathematical relationship to each origination chord for developing for subsequent choice a plurality of substitute chords equal to all substitute chords formulatable using the aforesaid origination chords and said substitute-chord mathematical relationships;

f) a set of steps of determining a related-chord mathematical relationship for determining related chords for each origination chord, and applying each related-chord mathematical relationship to each origination chord to develop for subsequent choice a plurality of related chords equal to all similar/related chords formulatable using said origination chords and said related-chord mathematical relationships;

g) a set of steps of providing a dictionary look-up algorithm for accessing chord-specific information about any of said origination chords and applying said algorithm for generation for subsequent review and consideration a plurality of dictionary look-up information elements chosen from the group consisting of compatible context scales, context chords, scale chords, chord scales, substitute chords, related chords, chord nomenclature, chord classification, and compositional options for utilizing each origination chord and at least one of said information elements thereof for formulating said music;

h) a set of steps of determining a series of chord-scale mathematical relationships for each of said origination chords for determining chord scales compatible with each origination chord, and applying the chord-scale mathematical relationships for identifying and making available a plurality of chord scales for each of said origination chords equal to all chord scales formulatable using said origination chords and said chord-scale mathematical relationships;

i) a set of steps of choosing one of said compatible context chords, determining a mathematical relationship among the notes of the chosen context chord for determining identity and order of the notes of the chosen context chord, determining a chord-scale expansion mathematical relationship for determining chord scales for the chosen context chord, and applying the chord-scale expansion mathematical relationship to the chosen context chord for developing for subsequent choice a plurality of chord scales equal to all chord scales formulatable using the chosen context chord and said chord-scale expansion mathematical relationship;

j) a set of steps of determining a scale-chord build-pattern mathematical relationship for generating scale chords compatible with each origination scale, and applying each scale-chord build-pattern mathematical relationship to each origination scale for developing for subsequent choice a plurality of scale chords equal to all scale chords formulatable using said origination scales and said scale-chord build-pattern mathematical relationships;

k) a set of steps of determining a context-chord mathematical relationship for determining context chords compatible with each origination scale, and applying each context-chord mathematical relationship to each origination scale for developing for subsequent choice a plurality of context chords equal to all context chords formulatable using said origination scales and said context-chord mathematical relationships;

l) a set of steps of determining a related-scale mathematical relationship for determining related scales for each origination scale, and applying each related-scale mathematical relationship to each origination scale to develop for subsequent choice a plurality of related scales equal to all related scales formulatable using said origination scales and said related-scale mathematical relationships;

m) a set of steps of determining a substitute-scale mathematical relationship for determining substitute scales for each origination scale, and applying each substitute-scale mathematical relationship to each origination scale for developing for subsequent choice a plurality of substitute scales equal to all substitute scales formulatable using said origination scales and said substitute-scale mathematical relationships;

n) a set of steps of providing a dictionary look-up algorithm for accessing scale-specific information about any of said origination scales and applying said algorithm for generating for subsequent review and consideration a plurality of dictionary look-up information elements chosen from the group consisting of compatible context scales, context chords, scale chords, chord scales, substitute chords, related chords, chord nomenclature, chord classification, and compositional options for utilizing each origination chord and at least one of said information elements thereof for formulating said music; and

o) a set of steps of determining a series of scale-chord build-pattern mathematical relationships for each of said origination scales for determining scale chords for each origination scale, and applying the scale-chord build-pattern mathematical relationships for identifying and making available a plurality of scale chords for each of said origination scales equal to all scale chords formulatable using said origination scales and said scale-chord build-pattern mathematical relationships.

2. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, and a compatible context chord from these subsequent choices for utilization for formulating said music.

3. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, and a scale chord from said subsequent choices for utilization for formulating said music.

4. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, and a chord scale from these subsequent choices for utilization in formulating music.

5. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, and a substitute chord from said subsequent choices for utilization in formulating said music.

6. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, and a related chord from these subsequent choices for utilization for formulating said music.

7. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, and dictionary look-up information element from said subsequent choices for utilization for formulating said music.

8. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, and dictionary look-up information element from said subsequent choices for utilization for formulating said music.

9. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, and dictionary look-up information element from said subsequent choices for utilization in formulating music.

10. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, and dictionary look-up information element from said subsequent choices for utilization for formulating said music.

11. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, and dictionary look-up information element from said subsequent choices for utilization for formulating said music.

12. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, dictionary look-up information element, and a related scale from these subsequent choices for utilization for formulating said music.

13. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, dictionary look-up information element, related scale, and a substitute scale from these subsequent choices for utilization for formulating said music.

14. A method for formulating music as claimed in claim 1 additionally comprising the step of choosing at least one of a newly formulated chord progression, compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, dictionary look-up information element, related scale, and a substitute scale from these subsequent choices for utilization for formulating said music.

15. A method for modifying and/or expanding a musical chord where said expanding is founded upon an origination chord, the method comprising the steps of:

the steps of providing for subsequent choice a plurality of pre-set musical-instrument objects for formulating music, providing a mathematical framework for formulating new musical-instrument objects for formulating music, choosing one of said pre-set musical-instrument objects or applying said mathematical framework for formulating for subsequent choice a new musical-instrument object equal to one of the musical-instrument objects formulatable using said mathematical framework, and choosing said new musical-instrument object;

the steps of providing one or more multiple-note origination chords, determining a mathematical relationship among the notes of each origination chord for determining identity and order of the notes of each origination chord, determining a scale-context mathematical relationship for determining compatible context scales with each origination chord, and applying each scale-context mathematical relationship to each origination chord for developing for subsequent choice a plurality of compatible context scales equal to all compatible context scales formulatable using said origination chords and said scale-context mathematical relationships;

the step of choosing at least one of the newly modified and/or expanded compatible context scales from said subsequent choices for utilization for formulating the music; and

the step of choosing at least one set of steps selected from the sets of steps consisting of:

a) a set of steps of projecting a viewable image of said subsequent choice and saving said choice for future recall;

b) a set of steps of choosing one of said compatible context scales, determining a mathematical relationship among the notes of the chosen context scale for determining identity and order of the notes of the chosen context scale, determining a context-chord expansion mathematical relationship for determining context chords compatible with the chosen context scale, and applying the context-chord expansion mathematical relationship to the chosen context scale for developing for subsequent choice a plurality of context chords equal to all context chords formulatable using the chosen context scale and said context-chord expansion mathematical relationship;

c) a set of steps choosing one of said compatible context scales, determining a mathematical relationship among the notes of the chosen context scale for determining identity and order of the notes of the chosen context scale, determining a scale-chord build-pattern mathematical relationship for generating scale chords compatible with the chosen context scale, and applying the scale-chord build-pattern mathematical relationship to the chosen context scale for developing for subsequent choice a plurality of scale chords equal to all scale chords formulatable using the chosen context scale and said scale-chord build-pattern mathematical relationship;

d) a set of steps the steps of determining a chord-scale mathematical relationship for determining chord scales for each origination chord, and applying each chord-scale mathematical relationship to each origination chord for developing for subsequent choice a plurality of chord scales equal to all chord scales formulatable using said origination chords and said chord-scale mathematical relationships;

e) a set of steps of determining a substitute-chord mathematical relationship for determining substitute chords for each origination chord, and applying each substitute-chord mathematical relationship to each origination chord for developing for subsequent choice a plurality of substitute chords equal to all substitute chords formulatable using said origination chords and said substitute-chord mathematical relationships; f) a set of steps of determining a related-chord mathematical relationship for determining related chords for each origination chord, and applying each related-chord mathematical relationship to each origination chord for developing for subsequent choice a plurality of related chords equal to all related chords formulatable using said origination chords and said related-chord mathematical relationships;

g) a set of steps of providing a dictionary look-up algorithm for accessing chord-specific information about any of said origination chords and applying said algorithm to generate for subsequent review and consideration a plurality dictionary look-up information elements chosen from the group consisting of compatible context scales, context chords, scale chords, chord scales, substitute chords, related chords, chord nomenclature, chord classification, and compositional options for utilizing each origination chord and at least one of said information elements thereof for formulating said music;

h) a set of steps of determining a series of chord-scale mathematical relationships for each of said origination chords for determining chord scales compatible with each origination chord, and applying the chord-scale mathematical relationships for identifying and making available a plurality of chord scales for each of said origination chords equal to all chord scales formulatable using said origination chords and said chord-scale mathematical relationships;

i) a set of steps of determining key-based transposition mathematical relationship among the notes of each origination chord for determining a transposed chord for each origination chord, and applying each key-based transposition mathematical relationship to each origination chord for developing for subsequent choice a plurality of transposed chords equal to all transposed chords formulatable using said origination chords and said key-based transposition mathematical relationships; and

j) a set of steps of determining interval-based transposition mathematical relationship among the notes of each origination chord for determining a transposed chord for each origination chord, and applying each interval-based transposition mathematical relationship to each origination chord for developing for subsequent choice a plurality of transposed chords equal to all transposed chords formulatable using said origination chords and said interval-based transposition mathematical relationships.

16. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale and a compatible context chord from these subsequent choices for utilization for formulating said music.

17. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, and a scale chord from these subsequent choices for utilization for formulating said music.

18. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, scale chord, and a chord scale from these subsequent choices for utilization for formulating said music.

19. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, scale chord, chord scale, and a substitute chord from said subsequent choices for utilization for formulating said music.

20. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, and a related chord from said subsequent choices for utilization for formulating said music.

21. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, and a dictionary look-up information element from said subsequent choices for utilization for formulating said music.

22. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, and a dictionary look-up information element from said subsequent choices for utilization for formulating said music.

23. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, dictionary look-up information element, and a transposed chord from said subsequent choices for utilization for formulating said music.

24. A method for modifying and/or expanding a musical chord as claimed in claim 15 additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context scale, compatible context chord, scale chord, chord scale, substitute chord, related chord, dictionary look-up information element, and a transposed chord from said subsequent choices for utilization for formulating said music.

25. A method for modifying and/or expanding a musical scale where said expanding is founded upon an origination scale, the method comprising:

the steps of providing for subsequent choice a plurality of pre-set musical-instrument objects for formulating music, providing a mathematical framework for formulating new musical-instrument objects for formulating music, choosing one of said pre-set musical-instrument objects or applying said mathematical framework for formulating for subsequent choice a new musical-instrument object equal to one of the musical-instrument objects formulatable using said mathematical framework, and choosing said new musical-instrument object;

the steps of providing one or more multiple-note origination scales, determining a mathematical relationship among the notes of each origination scale for determining identity and order of the notes of each origination scale, determining a chord-context mathematical relationship for determining compatible context chords with each origination scale, and applying each chord-context mathematical relationship to each origination scale for developing for subsequent choice a plurality of compatible context chords equal to all compatible context chords formulatable using said origination scales and said chord-context mathematical relationships;

the step of choosing at least one of the newly modified and/or expanded compatible context chords from said subsequent choices for utilization for formulating the music; and

the step of choosing at least one set of steps selected from the sets of steps consisting of:

a) a set of steps of projecting a viewable image of said subsequent choice and saving said choice for fixture recall;

b) a set of steps of choosing one of said compatible context chords, determining a mathematical relationship among the notes of the chosen context chord for determining identity and order of the notes of the chosen context chord, determining a chord-scale expansion mathematical relationship for determining chord scales for the chosen context chord, and applying the chord-scale expansion mathematical relationship to the chosen context chord for developing for subsequent choice a plurality of chord scales equal to all chord scales formulatable using the chosen context chord and said chord-scale expansion mathematical relationship;

c) a set of steps of determining a scale-chord build-pattern mathematical relationship for generating scale chords compatible with each origination scale, and applying each scale-chord build-pattern mathematical relationship to each origination scale for developing for subsequent choice a plurality of scale chords equal to all scale chords formulatable using said origination scales and said scale-chord build-pattern mathematical relationships;

d) a set of steps of determining a context-chord mathematical relationship for determining context chords compatible with each origination scale, and applying each context-chord mathematical relationship to each origination scale for developing for subsequent choice a plurality of context chords equal to all context chords formulatable using said origination scales and said context-chord mathematical relationships;

e) a set of steps of determining a related-scale mathematical relationship for determining related scales for each origination scale, and applying each related-scale mathematical relationship to each origination scale for developing for subsequent choice a plurality of related scales equal to all related scales formulatable using said origination scales and said related-scale mathematical relationships;

f) a set of steps of determining a substitute-scale mathematical relationship for determining substitute scales for each origination scale, and applying each substitute-scale mathematical relationship to each origination scale for developing for subsequent choice a plurality of substitute scales equal to all substitute scales formulatable using said origination scales and said substitute-scale mathematical relationships;

g) a set of steps of providing a dictionary look-up algorithm for accessing scale-specific information about any of said origination scales and applying said algorithm to generate for subsequent review and consideration a plurality dictionary look-up information elements chosen from the group consisting of compatible context scales, context chords, scale chords, chord scales, substitute chords, related chords, chord nomenclature, chord classification, and compositional options for utilizing each origination chord and at least one of said information elements thereof for formulating the music; and

h) a set of steps of determining a series of scale-chord build-pattern mathematical relationships for each of said origination scales for determining scale chords for each origination scale, and applying the scale-chord build-pattern mathematical relationships for identifying and making available a plurality of scale chords for each of said origination scales equal to all scale chords formulatable using said origination scales and said scale-chord build-pattern mathematical relationships.

26. A method for modifying and/or expanding a musical scale as claimed in claim 25, the method additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context chord and a chord scale from said subsequent choices for utilization for formulating said music.

27. A method for modifying and/or expanding a musical scale as claimed in claim 25, the method additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context chord, chord scale, and a scale chord from these subsequent choices for utilization for formulating said music.

28. A method for modifying and/or expanding a musical scale as claimed in claim 25, the method additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context chord, chord scale, and a scale chord from these subsequent choices for formulating said music.

29. A method for modifying and/or expanding a musical scale as claimed in claim 25, the method additionally comprising the step choosing at least one of a newly modified and/or expanded compatible context chord, chord scale, scale chord, and a related scale from these subsequent choices for formulating said music.

30. A method for modifying and/or expanding a musical scale as claimed in claim 25, the method additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context chord, chord scale, scale chord, related scale, and a substitute scale from these subsequent choices for utilization for formulating said music.

31. A method for modifying and/or expanding a musical scale as claimed in claim 25, the method additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context chord, chord scale, scale chord, related scale, substitute scale, and a dictionary look-up information element from these subsequent choices for utilization for formulating said music.

32. A method for modifying and/or expanding a musical scale as claimed in claim 25, the method additionally comprising the step of choosing at least one of a newly modified and/or expanded compatible context chord, chord scale, scale chord, related scale, substitute scale, and a dictionary look-up information element from these subsequent choices for utilization for formulating said music.
Description



STATEMENT RE: FEDERALLY SPONSORED RESEARCH/DEVELOPMENT

(Not Applicable)

BACKGROUND OF THE INVENTION

The present invention relates in general to the creation, modification, and expansion of music, and in particular to methodology employing the determination and application of mathematical relationships to musical elements such as chords, chord progressions, arpeggios, scales, instruments, and the like such that creation, identification, modification, and expansion of these elements can be accomplished for creative utilization in the music.

Both professional and amateur musicians usually are interested in expanding and/or improving their respective capabilities in the performance of music to thereby produce a unique sound, a unique presentation, and/or a unique instrumentation. Such expansion and improvement can be found in enhanced utilization of special chords, chord progressions, arpeggios, scales, instruments, and the like such that a single composition can be composed in a multitude of styles that create and maintain listener interest. Up to the present time, however, the accomplishment of this greater versatility in music has generally been limited either to a trial-and-error approach employing a musical instrument itself or to utilization of a significantly restricted music-analysis device. With exemplary regard to the latter restricted device, each of these devices provides little else beyond (1) fingering information for a predetermined and non-modifiable number of relatively simple chords or scales (but not both); (2) a predetermined and non-modifiable number of replicable instruments; and (3) single-mode viewability of a chord or scale notational-replication. In other words, these prior art devices do not provide unfettered creativity in the production of music in accord with the outcome sought by creative musicians.

In view of the restrictive nature of the prior art, both as to apparatus and resulting methodology, it is apparent that significant benefits would be gained from a formative approach that is effective in providing enhanced and significant aid in the understanding, modification, and application of various musical elements within a musical composition.

Consequently, a primary object of the present invention is to provide methodology wherein a musician is able to draw from non-preset resources for creating/formulating, identifying, modifying, and expanding musical composition elements.

Another object of the present invention is to provide non-preset resources non-limitedly including musical chord progressions, chord, arpeggio, scale, and instrument identifications and replications, keyboard/fretboard fingering, and staff and tablature notations.

Another object of the present invention is to provide integration of the products of the non-preset resources for selective choice therefrom for composing music.

Another object of the present invention is to provide means for projecting the products of the non-preset resources as a viewable image of at least one of a musical staff image, keyboard image, fretboard/finger board image, and a tablature image.

Still another object of the present invention is to provide means for saving/storing to products of the non-preset resources for future recall.

These and other objects of the present invention will become apparent throughout the description thereof which now follows.

BRIEF SUMMARY OF THE INVENTION

The present invention is a method for composing music as well as for formulating individual elements for utilization in musical compositions.

Throughout this document the following musical terms appear, and are defined according to standard dictionary definitions as well as those definitions recited here below. The term "note" is meant to include all possible audible or inaudible musical pitches/tones and all possible symbols and notations for such pitches/tones. The term "interval" is meant to include the simultaneous (or intended simultaneous) sounding of two played or notated notes, the successive (or intended successive) sounding of two played or notated notes, and a musical metric for the distance between any two played or notated notes. The term "chord" is meant to include the simultaneous (or intended simultaneous) sounding of two or more played or notated notes and all possible played or notated intervals. The term "chord progression" is meant to include any group of one or more played or notated chords. The term "arpeggio" is meant to include the successive (or intended successive) sounding of two or more played or notated notes that are associated with a chord. The terms "chord" and "arpeggio" are meant to be functionally interchangeable as follows: in any place in this document where a chord is an input object of the present invention (e.g. an origination chord), an intermediate object of the present invention, or an output object of the present invention, the aforesaid chord can be accurately interpreted as an arpeggio; and in any place in this document where an arpeggio is an input object of the present invention (e.g., an origination arpeggio), an intermediate object of the present invention, or an output object of the present invention, the aforesaid chord can be accurately interpreted as a chord. The term "scale" is meant to include any ordered set of played or notated notes. The term "instrument" is meant to include all tangible musical devices (with and without strings) non-limitedly including all known fretted and unfretted stringed musical devices (e.g., guitars, bass guitars, mandolins, ukuleles, lutes, violins, fiddles, cellos, double basses, and the like); all known keyboard musical devices (e.g., pianos, electric pianos, synthesizers, harpsichords, and the like); and all known wind-based musical devices (e.g., trumpets, saxophones, flutes, clarinets, tubas, and the like), as well as imaginary, conceptual, or otherwise intangible musical devices. The term "element" is meant to include notes, intervals, chords, chord progressions, arpeggios, scales, and instruments. The term "composition" is meant to include any group of elements such as notes, intervals, chords, chord progressions, arpeggios, and/or scales non-limitedly including tangible objects such as musical scores or notations of such elements that are written or otherwise stored/saved (e.g., in memory on a computer or other device); intangible objects such as performances; and improvisations of the elements that may occur with or without an audience. The term "composing" is meant to include the act of writing or otherwise storing/saving compositions; and the act of creating, formulating, playing, performing, improvising, or otherwise delivering compositions with or without an audience.

Methodology of the present invention comprises a plurality of steps as defined below. Specifically, a first group of steps includes the steps of providing for subsequent choice a plurality of pre-set musical-instrument objects for composing music, providing a mathematical framework for non-limitedly formulating new musical-instrument objects for composing music, choosing one of the aforesaid pre-set musical-instrument objects or applying the aforesaid mathematical framework to non-limitedly formulate for subsequent choice a new musical-instrument object equal to one of the many musical-instrument objects formulatable using the aforesaid mathematical framework, and choosing the new musical-instrument object.

A second group of steps includes the steps of providing for subsequent choice a plurality of chord-progression mathematical relationships for generating chord progressions and determining identity and order of the notes of each chord in a generated chord progression, choosing one of the aforesaid chord-progression mathematical relationships, and applying the chosen chord-progression mathematical relationship to generate a new chord progression equal to all chord progressions formulatable using the chosen chord-progression mathematical relationship.

A third group of steps includes the steps of providing one or more multiple-note origination chords, determining a mathematical relationship among the notes of each origination chord for determining identity and order of the notes of each origination chord, determining a scale-context mathematical relationship for determining compatible context scales with each origination chord, and applying each scale-context mathematical relationship to each origination chord to develop for subsequent choice a plurality of compatible context scales equal to all compatible context scales formulatable using the aforesaid origination chords and the aforesaid scale-context mathematical relationships.

A fourth group of steps includes the steps of providing one or more multiple-note origination scales, determining a mathematical relationship among the notes of each origination scale for determining identity and order of the notes of each origination scale, determining a chord-context mathematical relationship for determining compatible context chords with each origination scale, and applying each chord-context mathematical relationship to each origination scale to develop for subsequent choice a plurality of compatible context chords equal to all compatible context chords formulatable using the aforesaid origination scales and the aforesaid chord-context mathematical relationships.

A fifth group of steps includes the steps of choosing at least one of a newly formulated chord progression, compatible context scale, and compatible context chord from these subsequent choices for utilization in creating music and a step of saving any and/or all of the aforesaid objects for future recall.

One or more additional step-groups as listed below can be performed by a composer to formulate additional musical elements in accord with composer choices. In particular, one such group of steps includes the steps of choosing one of the aforesaid compatible context scales, determining a mathematical relationship for determining identity and order of the notes of the chosen context scale, determining a context-chord expansion mathematical relationship among the notes of the chosen context scale for determining context chords compatible with the chosen context scale, and applying the context-chord expansion mathematical relationship to the chosen context scale to develop for subsequent choice a plurality of context chords equal to all context chords formulatable using the chosen context scale and the aforesaid context-chord expansion mathematical relationship.

Another such step-group includes the steps choosing one of the aforesaid compatible context scales, determining a mathematical relationship among the notes of the chosen context scale for determining identity and order of the notes of the chosen context scale, determining a scale-chord build-pattern mathematical relationship for generating scale chords compatible with the chosen context scale, and applying the scale-chord build-pattern mathematical relationship to the chosen context scale to develop for subsequent choice a plurality of scale chords equal to all scale chords formulatable using the chosen context scale and the aforesaid scale-chord build-pattern mathematical relationship.

Another such step-group includes the steps of determining a chord-scale mathematical relationship for determining chord scales for with each origination chord, and applying each chord-scale mathematical relationship to each origination chord to develop for subsequent choice a plurality of chord scales equal to all chord scales formulatable using the aforesaid origination chords and the aforesaid chord-scale mathematical relationships.

Another such step-group includes the steps of determining a substitute-chord mathematical relationship for determining substitute chords for each origination chord, and applying each substitute-chord mathematical relationship to each origination chord to develop for subsequent choice a plurality of substitute chords equal to all substitute chords formulatable using the aforesaid origination chords and the aforesaid substitute-chord mathematical relationships.

Another such step-group includes the steps of determining a similar/related-chord mathematical relationship for determining similar/related chords for each origination chord, and applying each similar/related-chord mathematical relationship to each origination chord to develop for subsequent choice a plurality of similar/related chords equal to all similar/related chords formulatable using the aforesaid origination chords and the aforesaid similar/related-chord mathematical relationships.

Another such step-group includes the steps of providing a dictionary look-up algorithm for accessing general and chord-specific information about any of the aforesaid origination chords and applying the algorithm to each origination chord to generate for subsequent review and consideration a plurality dictionary look-up information elements equal to all look-up information elements accessible using the aforesaid origination chords and the aforesaid dictionary look-up algorithm. Such information elements include the aforesaid compatible context scales, context chords, scale chords, chord scales, substitute chords, and similar/related chords, and also includes information regarding chord nomenclature, chord classification, and additionally includes a multitude of compositional options and suggestions of ways in which the aforesaid origination chords and derived objects thereof can be creatively utilized in composing music.

Another such step-group includes the steps of determining a series of chord-scale mathematical relationships for each of the aforesaid origination chords for determining chord scales compatible with each origination chord, and applying the chord-scale mathematical relationships to identify and make available a plurality of chord scales for each of the aforesaid origination chords equal to all chord scales formulatable using the aforesaid origination chords and the aforesaid chord-scale mathematical relationships.

Another such step-group includes the steps choosing one of the aforesaid compatible context chords, determining a mathematical relationship among the notes of the chosen context chord for determining identity and order of the notes of the chosen context chord, determining a chord-scale expansion mathematical relationship for determining chord scales for the chosen context chord, and applying the chord-scale expansion mathematical relationship to the chosen context chord to develop for subsequent choice a plurality of chord scales equal to all chord scales formulatable using the chosen context chord and the aforesaid chord-scale expansion mathematical relationship.

Another such step-group includes the steps of determining a scale-chord build-pattern mathematical relationship for generating scale chords compatible with each origination scale, and applying each scale-chord build-pattern mathematical relationship to each origination scale to develop for subsequent choice a plurality of scale chords equal to all scale chords formulatable using the aforesaid origination scales and the aforesaid scale-chord build-pattern mathematical relationships.

Another such step-group includes the steps of determining a context-chord mathematical relationship for determining context chords compatible with each origination scale, and applying each context-chord mathematical relationship to each origination scale to develop for subsequent choice a plurality of context chords equal to all context chords formulatable using the aforesaid origination scales and the aforesaid context-chord mathematical relationships.

Another such step-group includes the steps of determining a similar/related-scale mathematical relationship for determining similar/related scales for each origination scale, and applying each similar/related-scale mathematical relationship to each origination scale to develop for subsequent choice a plurality of similar/related scales equal to all similar/related scales formulatable using the aforesaid origination scales and the aforesaid similar/related-scale mathematical relationships.

Another such step-group includes the steps of determining a substitute-scale mathematical relationship for determining substitute scales for each origination scale, and applying each substitute-scale mathematical relationship to each origination scale to develop for subsequent choice a plurality of substitute scales equal to all substitute scales formulatable using the aforesaid origination scales and the aforesaid substitute-scale mathematical relationships.

Another step-group includes the steps of providing a dictionary look-up algorithm for accessing scale-specific information about any of the aforesaid origination scales and applying the algorithm to generate for subsequent review and consideration a plurality dictionary look-up information elements. Such information elements include the aforesaid compatible context chords, chord scales, scale chords, context chords, similar/related scales, and substitute scales, and also includes information regarding scale nomenclature, scale classification, and additionally includes a multitude of compositional options and suggestions of ways in which the aforesaid origination scales and derived objects thereof can be creatively utilized in composing music.

Another step-group includes the steps of determining a series of scale-chord build-pattern mathematical relationships for each of the aforesaid origination scales for determining scale chords for each origination scale, and applying the scale-chord build-pattern mathematical relationships to identify and make available a plurality of scale chords for each of the aforesaid origination scales equal to all scale chords formulatable using the aforesaid origination scales and the aforesaid scale-chord build-pattern mathematical relationships.

Another step-group includes the steps of choosing at least one of the entirety of newly formulated subsequent choices for utilization in composing music and a step of saving any and/or all of the aforesaid objects for future recall.

The present invention also encompasses methodology for modifying and/or expanding individual elements of a potentially forthcoming composition in which such modified and/or expanded elements are or can be incorporated as chosen by the composer. Thus, with respect to a method for modifying and/or expanding a musical chord where the modifying and/or expanding is founded upon one or more origination chords, the method comprises a plurality of steps as defined below.

Specifically, a first group of steps includes the steps of providing for subsequent choice a plurality of pre-set musical-instrument objects for composing music, providing a mathematical framework for non-limitedly formulating new musical-instrument objects for composing music, choosing one of the aforesaid pre-set musical-instrument objects or applying the aforesaid mathematical framework to non-limitedly formulate for subsequent choice a new musical-instrument object equal to one of the many musical-instrument objects formulatable using the aforesaid mathematical framework, and choosing the new musical-instrument object.

A second group of steps includes the steps of providing one or more multiple-note origination chords, determining a mathematical relationship for determining identity and order of the notes of each origination chord, determining a scale-context mathematical relationship among the notes of each origination chord for determining compatible context scales with each origination chord, and applying each scale-context mathematical relationship to each origination chord to develop for subsequent choice a plurality of compatible context scales equal to all compatible context scales formulatable using the aforesaid origination chords and the aforesaid scale-context mathematical relationships.

A final group of steps includes the steps of choosing at least one of the newly modified and/or expanded compatible context scales from these subsequent choices for utilization in composing the musical composition and a step of saving any and/or all of the aforesaid objects for future recall.

One or more additional step-groups as listed below can be performed by a composer to further modify and/or expand musical elements in accord with composer choices. In particular, one such step-group includes the steps of choosing one of the aforesaid compatible context scales, determining a mathematical relationship for determining identity and order of the notes of the chosen context scale, determining a context-chord expansion mathematical relationship among the notes of the chosen context scale for determining context chords compatible with the chosen context scale, and applying the context-chord expansion mathematical relationship to the chosen context scale to develop for subsequent choice a plurality of context chords equal to all context chords formulatable using the chosen context scale and the aforesaid context-chord expansion mathematical relationship.

Another such step-group includes the steps choosing one of the aforesaid compatible context scales, determining a mathematical relationship among the notes of the chosen context scale for determining identity and order of the notes of the chosen context scale, determining a scale-chord build-pattern mathematical relationship for generating scale chords compatible with the chosen context scale, and applying the scale-chord build-pattern mathematical relationship to the chosen context scale to develop for subsequent choice a plurality of scale chords equal to all scale chords formulatable using the chosen context scale and the aforesaid scale-chord build-pattern mathematical relationship.

Another such step-group includes the steps of determining a chord-scale mathematical relationship for determining chord scales for each origination chord, and applying each chord-scale mathematical relationship to each origination chord to develop for subsequent choice a plurality of chord scales equal to all chord scales formulatable using the aforesaid origination chords and the aforesaid chord-scale mathematical relationships.

Another such step-group includes the steps of determining a substitute-chord mathematical relationship for determining substitute chords for each origination chord, and applying each substitute-chord mathematical relationship to each origination chord to develop for subsequent choice a plurality of substitute chords equal to all substitute chords formulatable using the aforesaid origination chords and the aforesaid substitute-chord mathematical relationships.

Another such step-group includes the steps of determining a similar/related-chord mathematical relationship for determining similar/related chords for each origination chord, and applying each similar/related-chord mathematical relationship to each origination chord to develop for subsequent choice a plurality of similar/related chords equal to all similar/related chords formulatable using the aforesaid origination chords and the aforesaid similar/related-chord mathematical relationships.

Another such step-group includes the steps of providing a dictionary look-up algorithm for accessing chord-specific information about any of the aforesaid origination chords and applying the algorithm to generate for subsequent review and consideration a plurality dictionary look-up information elements. Such information elements include the aforesaid compatible context scales, context chords, scale chords, chord scales, substitute chords, and similar/related chords, and also includes information regarding chord nomenclature, chord classification, and additionally includes a multitude of compositional options and suggestions of ways in which the aforesaid origination chords and derived objects thereof can be creatively utilized in composing music.

Another such step-group includes the steps of determining a series of chord-scale mathematical relationships for each of the aforesaid origination chords for determining chord scales compatible with each origination chord, and applying the chord-scale mathematical relationships to identify and make available a plurality of chord scales for each of the aforesaid origination chords equal to all chord scales formulatable using the aforesaid origination chords and the aforesaid chord-scale mathematical relationships.

Another such step-group includes the steps of a determining key-based transposition mathematical relationship for determining a transposed chord for each origination chord, and applying each key-based transposition mathematical relationship to each o


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