System and method for relating electromagnetic waves to sound waves

• US 20020176591A1
• Filed: 03/14/2002
• Published: 11/28/2002
• Est. Priority Date: 03/15/2001
• Status: Active Grant

• Current Assignee: MS Squared
• Original Assignee: MS Squared
• Inventors: Sandborn, Mark D., Sandborn, Michael T.
• Granted Patent: US 6,930,235 B2
• Time in Patent Office: Days
• US Class Current: 381/118
• CPC Class Codes: G09B 15/02 Boards or like means for providing an indication of notes

Abstract

A system for relating electromagnetic waves to harmonic sound waves that includes a memory with logic, and a processor configured with the logic to assign one fundamental color of a color spectrum of twelve analogous colors to one of twelve fundamental tones of a musical 5^th relationship, wherein the tones are represented by notes, wherein the processor is further configured with the logic to consecutively associate the remaining analogous colors to the tones.

Claims

1. A method for relating electromagnetic waves to harmonic sound waves, comprising the steps of:

assigning one fundamental color of a color spectrum of twelve analogous colors to one of twelve fundamental tones of a musical 5^th relationship, wherein the tones are represented by notes; and

consecutively associating the remaining analogous colors to the tones.

2. The method of claim 1, further comprising the step of relating individual waves of a harmonic series to a harmonic energy wave.

3. The method of claim 2, wherein the step of relating individual waves includes the steps of:

assigning a fundamental frequency and its consecutive octaves to consecutive nodes of the harmonic energy wave;

assigning a third harmonic frequency and its consecutive octaves to consecutive anti-nodes of the harmonic energy wave;

assigning a fifth harmonic frequency and its consecutive octaves to consecutive maximum amplitudes of first-half wave cycles of the harmonic energy wave;

assigning a seventh harmonic frequency and its consecutive octaves to consecutive maximum amplitudes of second half wave cycles of the harmonic energy wave; and

assigning each newly defined harmonic to equidistant positions between previously defined harmonic energy wave positions.

4. The method of claim 3, further comprising the step of representing the positions of the harmonic energy wave by at least one of individual harmonic energy waves, energy levels, and measurements.

5. The method of claim 1, further comprising the step of positioning twelve equidistant points on a circle representing twelve equal angle divisions of a circle, twelve directional vectors, twelve analogous colors and twelve equal tempered musical 5ths based on roots of 2.

6. The method of claim 5, wherein the step of positioning twelve equidistant points includes the steps:

starting an overtone harmonic series and an undertone harmonic series at a defined position;

starting a second overtone harmonic series and a second undertone harmonic series at a second position related to the first position by the square root of 2;

tempering the differences generated between the overtone and undertone harmonic positions resulting in new positions based on roots of 2;

repeating the steps of starting, starting, and tempering until all 12 equidistant points on a circle defined by roots of 2 are generated.

7. The method of claim 1, further comprising the step of defining the color of frequency by defining the color of a chromatic frequency circle.

8. The method of claim 7, wherein the step of defining the color of frequency includes the steps of:

assigning an equidistant analogous color pattern between consecutive chromatic frequency positions which represents the analogous color pattern, wherein the consecutive chromatic frequency positions are microtones;

defining the microtones as being separated by multiples of 2({fraction (1/84)}), wherein the separation of 2({fraction (1/84)}) is approximately 14.28 cents;

locating the relative position of the frequency to the at least one of one of the twelve equidistant points on the chromatic frequency circle and the one of six equidistant microtone points between consecutive equidistant chromatic points on the chromatic frequency circle;

locating at least one of the color, chroma, and gray of the relative position on the chromatic frequency circle; and

assigning the at least one of the located color, chroma, and gray to the frequency.

9. The method of claim 1, further comprising the step of relating overtone and undertone harmonic directions to positive and negative charge.

10. The method of claim 9, further comprising the step of assigning the positive and the negative charge to first-half and second-half cycles of a harmonic energy wave, wherein the step of assigning the positive and the negative charge includes the steps of:

assigning a charge to the first-half cycle of an overtone harmonic energy wave located at one of defined equidistant positions on a color circle;

assigning an opposite charge to the second-half cycle of the chosen overtone harmonic energy wave;

assigning the opposition charge to the first-half cycle of an undertone harmonic energy wave beginning at the same frequency; and

assigning the opposition charge to the second-half cycle of the undertone harmonic energy wave.

11. The method of claim 1, further comprising the step of bonding overtone and undertone harmonic energy wave half-wave and quarter-wave cycles to form a current loop having at least one of a neutral charge, a charge as defined by the position of the current loop within a current loop wave within an overtone defined wave structure, and a charge as defined by the position of the current loop within a current loop wave within an undertone defined wave structure.

12. The method of claim 11, further comprising the step of forming a current loop wave.

13. The method of claim 12, wherein the step of forming a current loop wave includes the steps of:

assigning at least one of a prime spin and a retrograde spin to two current loops;

assigning a first-half cycle to the first current loop and a second-half cycle to the second current loop; and

assigning the order of the two current loops in order to determine inversion and retrograde-inversion spins.

14. The method of claim 13, further comprising the step of defining the color of the current loops by the square of the harmonic series 1², 2², 3², to infinity based on the total harmonic distance between the overtone and the undertone harmonic positions.

15. The method of claims 1, further comprising the step of bonding and relating harmonic energy waves, current loop waves, measurements and frequencies.

16. The method of claim 15, wherein the step of bonding and relating includes the steps of:

bonding a harmonic energy wave node to a harmonic energy wave node;

bonding a harmonic energy wave anti-node to a harmonic energy wave node; and

bonding a harmonic energy wave maximum amplitude to a harmonic energy wave node.

17. The method of claim 1, further comprising the step of forming a vector wave.

18. The method of claim 17, wherein the step of forming a vector wave includes the steps of:

forming a charged first octave harmonic energy wave at a specified energy level;

bonding an octave harmonic energy wave using a node-to-node bond; and

assigning a neutral charge position to a third harmonic position of a second octave harmonic energy wave, wherein the vector wave is represented by at least one of integer numbers, inversion of the integer numbers, and octaves.

19. The method of claim 18, further comprising forming a vector set wave that includes three vector waves bonded with anti-node-to-node bonds.

20. The method of claim 19, wherein the step of forming a vector set wave includes the steps of:

changing the third harmonic position of the first vector wave from a neutral charged to a charged position;

using the charged third harmonic position of the first vector wave as the starting position of the second vector wave; and

repeat the steps of changing and using for bonding a third vector wave to the second vector wave, wherein the total vector set is represented by at least one of the numbers 1, 2, 3, 6, 9, 18, 27 and the corresponding octaves, and the inversions of 1, 2, 3, 6, 9, 18, 27 and the corresponding octaves.

21. The method of claim 20, further comprising the step of changing the third harmonic of the third vector set from a neutral charged to a charged position.

22. The method of claim 21, further comprising the step of forming a 3-vector set wave.

23. The method of claim 22, wherein the step of forming a 3-vector set wave includes the steps of:

bonding the second vector set wave to the first vector set wave using an amplitude to node bond, wherein the first position of the second vector set bonds to the amplitude represented by harmonic 5 and the corresponding octaves of the first vector set wave, wherein the first position of the second vector set wave is defined by the number 5 and the corresponding octaves relative to the first vector set wave;

repeating the step of bonding for the third vector set wave to the second vector set wave, wherein the first position of the third vector set is defined by the number 5 and its octaves relative to the second vector set wave, and by the number 25 and its octaves relative to the first vector set wave.

24. The method of claim 23, further comprising the step of bonding an overtone vector set wave to an undertone vector set wave, wherein the relationship between the first position of the overtone vector set wave and the first position of the undertone vector set wave are related by the square root of 2 and the corresponding octaves.

25. The method of claim 23, further comprising the step of bonding an overtone vector set wave to an undertone vector set wave, wherein the relationship between the first position of the overtone vector set wave and the first position of the undertone vector set wave are related by the number 729 and the corresponding octaves.

26. The method of claim 25, wherein the step of bonding includes the steps of at least partly using charged positions and bonding two 3-vector set waves through amplitude-to-node bonds with the first position of the second 3-vector set wave relating to the first position of the first 3-vector set wave by 225 and the corresponding octaves.

27. The method of claim 25, wherein the steps of bonding includes the step of at least partly using neutral positions and bonding two 3-vector set waves through amplitude-to-node bonds with the first position of the second 3-vector set wave relating to the first position of the first 3-vector set wave by 225 and the corresponding octaves.

28. The method of claim 25, wherein the step of bonding includes the steps of at least partly using charged positions and neutral positions and bonding two 3-vector set waves through amplitude-to -node bonds with the first position of the second 3-vector set wave relating to the first position of the first 3-vector set wave by 225 and the corresponding octaves.

29. The method of claims 1, further comprising the step of applying a const antly changing time reference to at least one of a harmonic energy wave and the representatives of the harmonic energy wave resulting in a representation of a harmonic energy sine wave.

30. The method of claim 1, further comprising the step of describing mixtures of frequencies, harmonic energy waves, current loop waves, energy levels, and measurements as mixtures of at least one of color, chroma, and gray.

31. The method of claim 1, further comprising the step of displaying on a medium consecutive chromatic colors to define consecutive chromatic notes in a twelve note based musical notation system that comprises a ledger line and five staff lines and spaces between the lines and the ledger line and the lines, wherein the ledger lines are separated by octaves, wherein the twelve fundamental colors are representative of at least one of selected colors, chromas, and grays, wherein the consecutive chromatic notes are applied consecutively to consecutive lines and spaces.

32. The method of claim 31, further comprising the step of displaying on the medium one-word color names for notes on the staff line and the ledger line, and two-word color names for the spaces between the staff lines and the ledger lines, wherein one-word color names are yellow, green, blue, violet, red, and orange, and two-word color names are yellow-green, blue-green, blue-violet, red-violet, red-orange, and yellow-orange, wherein the defined one-word and two-word color names are representative of at least one of selected colors, chromas, and grays.

33. The method of claim 31, further comprising the step of displaying on the medium two-word color names for notes on the staff line and the ledger line, and one-word color names for the spaces between the staff lines and the ledger lines, wherein one-word color names are yellow, green, blue, violet, red, and orange, and two-word color names are yellow-green, blue-green, blue-violet, red-violet, red-orange, and yellow-orange, wherein the defined one-word and two-word color names are representative of at least one of selected colors, chromas, and grays.

34. The method of claim 31, wherein the twelve chromatic colors are repeated for every octave.

35. The method of claim 31, wherein the space between two lines and the space between a line and a ledger line are further divided by six lines generating a total of seven lines and spaces from one chromatic tone to the next, wherein the analogous microtone colors are applied to the additional consecutive lines and spaces between chromatic tones, wherein the ledger line is represented every fourteen microtone tones or two chromatic tones.

36. The method of claim 31, further comprising the step of connecting tones in a vertical and horizontal placement by a line representing a harmonic energy wave, further comprising the step of passing a straight line through node and anti-node positions of the represented harmonic energy wave.

37. The method of claim 36, wherein a line representing at least one of a first half wave cycle and a second half wave cycle connects consecutive harmonic wave designations.

38. The method of claim 37, further comprising representing the first-half wave cycle as a strong beat and the second-half wave cycle as a weak beat.

39. The method of claims 38, further comprising the step of connecting two same type beats using a connecting line.

40. The method of claims 39, further comprising the step of describing an amplitude to node connection between the harmonic wave designations by a connecting line.

41. The method of claims 40, further comprising the step of representing the extension of a note through multiple harmonic wave designations by at least one of a bar of the same color and a description stretching the length of the extension.

42. The method of claim 41, further comprising the step of representing a perceptual wave by diagonal lines.

43. The method of claims 42, further comprising the step of representing the connection between perceptual wave nodes and harmonic wave nodes or perceptual wave amplitudes and harmonic wave amplitudes by a gray connecting bar.

44. The method of claim 31, further comprising the step of representing the chromatic tones as volume levels.

45. The method of claim 44, further comprising the step of describing the volume levels by chromatic intensities based on roots of 2, further comprising the step of grouping twelve chromatic volumes by octaves.

46. The method of claim 31, further comprising the step of representing the tones as rhythm frequencies.

47. The method of claim 46, further comprising the step of connecting rhythm positions of a particular rhythm device with a line representing a rhythm wave.

48. The method of claim 31, further comprising the step of dividing the staff by units of time representing the length of a harmonic octave in at least one of a given time, given times, and constantly changing time.

49. The method of claim 48, further comprising the step of describing the start of the unit of time with a vertical line on the staff and the end of the unit of time with a vertical line on the staff, wherein the space in between the defined start and end is absolutely defined by at least one of time, times, and constantly changing times applied to the unit of time.

50. The method of claim 49, further comprising the step of placing a tempo above the unit of time as at least one of the number of beats per minute, a fraction of a reference tempo, and a multiple of the reference tempo.

51. The method of claim 50, further comprising the step of describing a continuously changing tempo between two points with a wavy line connecting two defined tempos.

52. The method of claim 48, further comprising the step of dividing the unit of time into twelve hundred equal time units called ticks.

53. The method of claim 48, further comprising the step of dividing the unit of time by harmonic and other time divisions represented by notes, wherein a stem of the note absolutely marks the starting position of the represented time value within the unit of time.

54. The method of claim 53, further comprising the step of describing the division of the unit of time into three equal units by at least one of a triangle note head and a representative number.

55. The method of claim 53, further comprising the step of describing the division of the unit of time into four equal units by at least one of a square note head and a representative number.

56. The method of claim 53, further comprising the step of describing the division of the unit of time into five equal units by at least one of a pentagram note head and a representative number.

57. The method of claim 53, further comprising the step of describing the division of the unit of time by seven equal units by at least one of a seven point star and a representative number.

58. The method of claim 53, further comprising the step of describing the division of the unit of time by twelve equal units by at least one of a circle and a representative number.

59. The method of claim 53, further comprising the step of describing with a note head the division of the unit of time into an assignable number of equal divisions, wherein the assignable number is placed above the note.

60. The method of claim 53, further comprising the step of describing with a note head the division of the unit of time into an assignable number of equal divisions, wherein the assignable number replaces the note.

61. The method of claim 60, further comprising the step of describing the division of the fundamental note time value by a flag attached to the stem of the note, wherein a line flag represents the zero power of 2, and each additional flag represents an additional power of two, wherein a box flag with a number defines the number of flags, wherein a number placed above the flags changes the fundamental division number of 2, wherein the highest represented flag number is the divisor of the fundamental note time value.

62. The method of claim 61, further comprising the step of multiplying the fundamental note time value and flag alterations by placing at least one of the multiplying number and the fraction next to the note head.

63. The method of claim 62, further comprising the step of placing dots next to the note head, wherein each dot represents a value in a series, wherein the base value of the series is the fundamental note value after flag and multiplier operations, wherein the fundamental dot division is 2, wherein the fundamental dot division is alterable by placing at least one of a number and fraction next to the dot, wherein the number of dots defines the number of positions in the series, wherein the number of dots can be represented by a single dot followed by a number, wherein a dot representing a number other than 2 is placed inside parentheses with the altering number followed by a number representing the total number of dots, wherein the time value of the note is the sum of the value of each represented dot.

64. The method of claim 63, further comprising the step of placing at least one of a number and fraction below the flag representing a time value to be added to the note after all other time manipulations are accounted for.

65. The method of claim 64, further comprising the step of using a wavy flag attached to a particular note value to describe a time value which is an approximation of the note value to which the flag is attached, including the implication that the flags represent normal flags and are included in the value of the approximated note.

66. The method of claim 65, further comprising the step of using a geometric shape to represent note time values which extend beyond the unit of time, wherein the end of the note extension beyond a unit of time or units of time is represented by half of the defined geometric shape attached to a vertical line, wherein the line marks the absolute position with the unit of time which defines the end of the note time value.

67. The method of claim 66, further comprising the step of grouping notes by at least one of a mathematical series and equation, wherein the step of grouping includes:

marking the positions of at least one of the series and the defined positions of the equation by vertical lines;

joining the vertical lines with at least one of an overarching and underarching curved line;

placing the notes which begin at positions defined by the series or equation on the vertical lines;

describing the series and equation and the starting and ending points within the series and the equation; and

placing at least one of the description of the series and the equation and a reference of the series and the equation above the joining line.

68. The method of claim 67, further comprising the step of describing a group of consecutive notes, each of which represents points along a complex, constantly changing time value, with a black connecting bar, wherein a description of at least one of the note time values and a reference of the note time values is placed near the black connecting bar.

69. The method of claim 31, further comprising the step of forming two spirals, wherein the first spiral consists of secondary color relationships of one-word color names and the second spiral consists of secondary color relationships of two-word color names, wherein the two spirals are merged to form an analogous color pattern with octaves found along radial lines, wherein the radial lines alternated between black and white patterns with an optional gray section representing the lines, ledger lines, and spaces of the staff, wherein the colors define at least one of tones, microtones, any defined group of colors, chromas, gray, and deviations from tones.

70. The method of claim 69, further comprising the step of representing the spirals in a linear format, wherein multiple two-word color lines and one-word color lines of undefined length are vertically arrayed with vertical positions representing consecutive octaves.

71. The method of claim 1, further comprising the step of representing the consecutive analogous colors as consecutive note positions on a musical instrument.

72. A system for relating electromagnetic waves to harmonic sound waves, comprising:

means for assigning one fundamental color of a color spectrum of twelve analogous colors to one of twelve fundamental tones of a musical 5th relationship, wherein the tones are represented by notes; and

means for consecutively associating the remaining analogous colors to the tones.

73. The system of claim 72, further comprising means for relating individual waves of a harmonic series to a harmonic energy wave.

74. The system of claim 72, further comprising means for positioning twelve equidistant points on a circle representing twelve equal angle divisions of a circle, twelve directional vectors, twelve analogous colors and twelve equal tempered musical 5ths based on roots of 2.

75. The system of claim 72, further comprising means for defining the color of frequency by defining the color of a chromatic frequency circle.

76. The system of claim 72, further comprising means for relating overtone and undertone harmonic directions to positive and negative charge.

77. The system of claim 76, further comprising means for assigning the positive and the negative charge to first-half and second-half cycles of a harmonic energy wave.

78. The system of claim 72, further comprising means for bonding overtone and undertone harmonic energy wave half-wave and quarter-wave cycles to form a current loop having at least one of defined charge.

79. The system of claim 72, further comprising means for forming a current loop wave.

80. The system of claim 79, further comprising means for defining the color of the current loops by the square of the harmonic series 12, 22, 32, to infinity based on the total harmonic distance between the overtone and the undertone harmonic positions.

81. The system of claims 72, further comprising means for bonding and relating harmonic energy waves, current loop waves, measurements and frequencies.

82. The system of claim 72, further comprising means for forming a vector wave.

83. The system of claim 82, further comprising means for forming a vector set wave that includes three vector waves bonded with anti-node-to-node bonds.

84. The system of claim 72, further comprising means for forming a 3-vector set wave.

85. The system of claims 72, further comprising means for applying a constantly changing time reference to at least one of a harmonic energy wave and the representatives of the harmonic energy wave resulting in a representation of a harmonic energy sine wave.

86. The system of claim 72, further comprising means for describing mixtures of frequencies, harmonic energy waves, current loop waves, energy levels, and measurements as mixtures of at least one of color, chroma, and gray.

87. A system for relating electromagnetic waves to harmonic sound waves, comprising:

a memory with logic; and

a processor configured with the logic to assign one fundamental color of a color spectrum of twelve analogous colors to one of twelve fundamental tones of a musical 5^th relationship, wherein the tones are represented by notes, wherein the processor is further configured with the logic to consecutively associate the remaining analogous colors to the tones.

88. The system of claim 87, wherein the processor is further configured with the logic to relating individual waves of a harmonic series to a harmonic energy wave.

89. The system of claim 87, wherein the processor is further configured with the logic to positioning twelve equidistant points on a circle representing twelve equal angle divisions of a circle, twelve directional vectors, twelve analogous colors and twelve equal tempered musical 5ths based on roots of 2.

90. The system of claim 88, wherein the processor is further configured with the logic to for defining the color of frequency by defining the color of a chromatic frequency circle.

91. The system of claim 87, wherein the processor is further configured with the logic to relating overtone and undertone harmonic directions to positive and negative charge.

92. The system of claim 91, wherein the processor is further configured with the logic to assigning the positive and the negative charge to first-half and second-half cycles of a harmonic energy wave.

93. The system of claim 87, wherein the processor is further configured with the logic to bonding overtone and undertone harmonic energy wave half-wave and quarter-wave cycles to form a current loop having at least one of defined charge.

94. The system of claim 87, wherein the processor is further configured with the logic to forming a current loop wave.

95. The system of claim 94, wherein the processor is further configured with the logic to defining the color of the current loops by the square of the harmonic series 1², 2², 3², to infinity based on the total harmonic distance between the overtone and the undertone harmonic positions.

96. The system of claims 87, wherein the processor is further configured with the logic to bonding and relating harmonic energy waves, current loop waves, measurements and frequencies.

97. The system of claim 87, wherein the processor is further configured with the logic to forming a vector wave.

98. The system of claim 97, wherein the processor is further configured with the logic to forming a vector set wave that includes three vector waves bonded with anti-node-to-node bonds.

99. The system of claim 87, wherein the processor is further configured with the logic to forming a 3-vector set wave.

100. The system of claims 87, wherein the processor is further configured with the logic to applying a constantly changing time reference to at least one of a harmonic energy wave and the representatives of the harmonic energy wave resulting in a representation of a harmonic energy sine wave.

101. The system of claim 87, wherein the processor is further configured with the logic to describing mixtures of frequencies, harmonic energy waves, current loop waves, energy levels, and measurements as mixtures of at least one of color, chroma, and gray.

102. A notation system on a recordable medium, comprising:

logic configured to display a ledger line and five staff lines and spaces between the lines and the ledger line and the lines; and

logic configured to display twelve consecutive chromatic notes representing consecutive tones of a musical 5th relationship, wherein the consecutive chromatic notes are applied consecutively to the lines and spaces, wherein the twelve consecutive notes are configured with consecutive chromatic colors, wherein the colors are twelve fundamental colors representative of at least one of selected colors, chromas, and grays.

103. The system of claim 102, wherein the logic is further configured to display ledger lines separated by octaves, such that the twelve consecutive chromatic notes are repeated for every octave.

104. The system of claim 102, wherein the logic is further configured to display one-word color name notes positioned on the staff line and the ledger line, and two-word color name notes positioned on the spaces between the staff lines and the ledger lines, wherein the one-word color names include yellow, green, blue, violet, red, and orange, and the two-word color names include yellow-green, blue-green, blue-violet, red-violet, red-orange, and yellow-orange.

105. The system of claim 102, wherein the logic is further configured to display two-word color name notes positioned on the staff line and the ledger line, and one-word color name notes positioned on the spaces between the staff lines and the ledger lines, wherein the one-word color names include yellow, green, blue, violet, red, and orange, and two-word color names include yellow-green, blue-green, blue-violet, red-violet, red-orange, and yellow-orange, wherein the defined one-word and two-word color names are representative of at least one of selected colors, chromas, and grays.

106. The system of claim 102, wherein the logic is further configured to display the space between two consecutive lines and the space between a line and a ledger line as divided by six lines generating a total of seven lines and spaces from one chromatic note to the next, wherein the logic is further configured to display analogous microtone colors applied to the additional consecutive lines and spaces between chromatic tones, wherein the logic is further configured to display the ledger line as represented by at least one of every fourteen microtone tones and two chromatic tones.

107. The system of claim 102, wherein the logic is further configured to display a line representing a harmonic energy wave that connects tones aligned vertically and horizontally, wherein the logic is further configured to display a straight line that passes through node and anti-node positions of the represented harmonic energy wave.

108. The system of claim 107, wherein the logic is further configured to display a line representing at least one of a first half wave cycle and a second half wave cycle that connects consecutive harmonic wave designations.

109. The system of claim 108, wherein the logic is further configured to display the first-half wave cycle with a strong beat symbol and the second-half wave cycle with a weak beat symbol.

110. The system of claims 109, wherein the logic is further configured to display two strong beats connected by a connecting line, and two weak beats connected by a connecting line.

111. The system of claim 102, wherein the logic is further configured to display at least one of a bar of the same color and a description stretching the length of a note extension, wherein the note extension represents the sound extension of a note through multiple harmonic wave designations.

112. The system of claim 102, wherein the logic is further configured to display a perceptual wave with diagonal lines.

113. The system of claims 102, wherein the logic is further configured to display a colored connecting bar that represents the connection between at least one of perceptual wave nodes connected with harmonic wave nodes and perceptual wave amplitudes connected with harmonic wave amplitudes.

114. The system of claim 102, wherein the logic is further configured to display volume levels that represent the chromatic notes, wherein the logic is further configured to define the volume levels by chromatic intensities based on roots of 2, wherein the logic is further configured to group and display twelve chromatic volumes by octaves.

115. The system of claim 102, wherein the logic is further configured to represent tones as rhythm frequencies.

116. The system of claim 115, wherein the logic is further configured to display a line representing a rhythm wave that connects rhythm positions of a particular rhythm device.

117. The system of claim 102, wherein the logic is further configured to divide and display the staff by units of time representing the length of a harmonic octave in at least one of a given time, given times, and constantly changing time.

118. The system of claim 117, wherein the logic is further configured to display the start of the unit of time with a vertical line on the staff and the end of the unit of time with a vertical line on the staff, wherein the space in between the defined start and end is absolutely defined by at least one of time, times, and constantly changing times applied to the unit of time.

119. The system of claim 117, wherein the logic is further configured to displaying a tempo above the unit of time in the format of at least one of the number of beats per minute, a fraction of a reference tempo, and a multiple of the reference tempo.

120. The system of claim 119, wherein the logic is further configured to describe and display a continuously changing tempo between two points with a wavy line connecting two defined tempos.

121. The system of claim 117, wherein the logic is further configured to divide and display the unit of time into twelve hundred equal time units called ticks.

122. The system of claim 117, wherein the logic is further configured to divide the unit of time by harmonic and other time divisions represented by notes, wherein the logic is further configured to represent and display a stem of the note as absolutely marking the starting position of the represented time value within the unit of time.

123. The system of claim 117, wherein the logic is further configured to describe the division of the unit of time as three equal units, wherein the logic is further configured to display the three equal units by at least one of a triangle note head and a representative number.

124. The system of claim 117, wherein the logic is further configured to describe the division of the unit of time as four equal units, wherein the logic is further configured to display the four equal units by at least one of a square note head and a representative number.

125. The system of claim 117, wherein the logic is further configured to describe the division of the unit of time as five equal units, wherein the logic is further configured to display the five equal units by at least one of a pentagram note head and a representative number.

126. The system of claim 117, wherein the logic is further configured to describe the division of the unit of time as seven equal units, wherein the logic is further configured to display the seven equal units by at least one of a seven point star and a representative number.

127. The system of claim 117, wherein the logic is further configured to describe the division of the unit of time by twelve equal units, wherein the logic is further configured to display the twelve equal units by at least one of a circle and a representative number.

128. The system of claim 117, wherein the logic is further configured to describe with a note head the division of the unit of time into an assignable number of equal divisions, wherein the logic is further configured to display the assignable number above the note.

129. The system of claim 117, wherein the logic is further configured to describe with a note head the division of the unit of time into an assignable n umber of equal divisions, wherein the logic is further configured to display the assignable number in places of the note.

130. The system of claim 117, wherein the logic is further configured to describe and display the division of a fundamental note time value by a flag attached to the stem of the note, wherein a line flag represents the zero power of 2, and each additional flag represents an additional power of two, wherein a box flag with a number defines the number of flags, wherein a number placed above the flag changes the fundamental division number of 2, wherein the highest represented flag number is the divisor of the fundamental note time value.

131. The system of claim 130, wherein the logic is further configured to multiply the fundamental note time value, wherein the logic is further configured to draw attention to alterations by displaying at least one of the multiplying number and the fraction next to the note head.

132. The system of claim 131, wherein the logic is further configured to display dots next to the note head, wherein each dot represents a value in a series, wherein the base value of the series is the fundamental note value after flag and multiplier operations, wherein the fundamental dot division is 2, wherein the fundamental dot division is alterable by placing at least one of a number and fraction next to the dot, wherein the number of dots defines the number of positions in the series, wherein the number of dots can be represented by a single dot followed by a number, wherein a dot representing a number other than 2 is placed inside parentheses with the altering number followed by a number representing the total number of dots, wherein the time value of the note is the sum of the value of each represented dot.

133. The system of claim 130, wherein the logic is further configured to display at least one of a number and fraction below the flag representing a time value to be added to the note after all other time manipulations are accounted for.

134. The system of claim 133, wherein the logic is further configured to display a wavy flag attached to a particular note value to illustrate a time value which is an approximation of the note value to which the flag is attached, including the implication that the flags represent normal flags and are included in the value of the approximated note.

135. The system of claim 117, wherein the logic is further configured to display a geometric shape to represent note time values which extend beyond the unit of time, wherein the end of the note extension beyond a unit of time or units of time is represented by half of the defined geometric shape attached to a vertical line, wherein the line marks the absolute position with the unit of time which defines the end of the note time value.

136. The system of claim 102, wherein the logic is further configured to group notes by at least one of a mathematical series and equation, wherein the logic is further configured to display the positions of at least one of the series and the defined positions of the equation by vertical lines, wherein the logic is further configured to display at least one of an overarching and underarching curved line that joins the vertical lines, wherein the logic is further configured to display the notes which begin at positions defined by at least one of the series and equation on the vertical lines, wherein the logic is further configured to describe the series and equation and the starting and ending points within the series and the equation, wherein the logic is further configured to display at least one of the description of the series and the equation and a reference of the series and the equation above the joining line.

137. The system of claim 136, wherein the logic is further configured to display a black connecting bar that represents a group of consecutive notes, each of which represents points along a complex, constantly changing time value, wherein the logic is further configured to display a description of at least one of the note time values and a reference of the note time values near the black connecting bar.

138. The system of claim 102, wherein the logic is further configured to display two spirals, wherein the first spiral consists of secondary color relationships of one-word color names and the second spiral consists of secondary color relationships of two-word color names, wherein the logic is further configured to merge the two spirals are to form an analogous color pattern with octaves found along radial lines, wherein the logic is further configured to display the radial lines as alternated between black and white patterns with an optional gray section representing the lines, ledger lines, and spaces of the staff, wherein the colors define at least one of tones, microtones, any defined group of colors, chromas, gray, and deviations from tones.

139. The system of claim 138, wherein the logic is further configured to represent and display the spirals in a linear format, wherein multiple two-word color lines and one-word color lines of undefined length are vertically arrayed with vertical positions representing consecutive octaves.

140. The system of claim 102, wherein the logic is incorporated in a frequency generating device.

141. The system of claim 102, wherein the frequency generating device includes keyboard instruments, stringed instruments, oscillators, and ribbon controllers.

143. The musical instrument of claim 142, wherein the twelve contact positions represent twelve keys on a keyboard.

144. The musical instrument of claim 143, wherein the consecutive chromatic notes are applied consecutively to the keys.

145. The musical instrument of claim 143, wherein the keys have a one-to-one correspondence with lines and spaces and notes on a music staff.

146. The musical instrument of claim 143, wherein the keys include consecutively alternating white and black keys.

147. The musical instrument of claim 146, wherein the keys include a gray key, in the place of a black key, that begins every octave.

148. The musical instrument of claim 146, wherein the gray key and the black keys are associated with one word color names, wherein the one-word color names include yellow, green, blue, violet, red, and orange.

149. The musical instrument of claim 146, wherein the gray key and the black keys are associated with two-word color names, wherein the two-word color names include red-violet, red-orange, yellow-orange, yellow-green, and blue-green.

150. The musical instrument of claim 146, wherein the white keys are associated with two-word color names, wherein the two-word color names include red-violet, red-orange, yellow-orange, yellow-green, and blue-green.

151. The musical instrument of claim 146, wherein the white keys are associated with one word color names, wherein the one-word color names include yellow, green, blue, violet, red, and orange.

152. The musical instrument of claim 143, wherein the twelve keys are repeated for every octave.

153. The musical instrument of claim 142, wherein the contact positions represent frequency positions on a fingerboard of a stringed instrument.

154. The musical instrument of claim 153, wherein the consecutive chromatic notes are applied to contact positions having a corresponding chromatic color representation.

155. The musical instrument of claim 153, wherein the contact positions have a one-to-one correspondence with lines and spaces and notes on a music staff.

157. The musical system of claim 156, wherein the musical instrument includes at least one of a keyboard instrument and a stringed instrument.

158. The musical system of claim 156, wherein the contact positions correspond to frequency positions on the musical instrument.

142. A musical instrument, comprising:

twelve contact positions associated with twelve consecutive chromatic notes representing consecutive tones of a musical 5^th relationship, wherein the twelve consecutive chromatic notes are configured with consecutive chromatic colors, wherein the colors are twelve fundamental colors representative of at least one of selected colors, chromas, and grays.

156. A music system, comprising:

a notation system comprising;

a ledger line and five staff lines and spaces between the lines and the ledger line and the lines; and

twelve consecutive chromatic notes representing consecutive tones of a musical 5^th relationship, wherein the consecutive chromatic notes are applied consecutively to the lines and spaces, wherein the twelve consecutive notes are configured with consecutive chromatic colors, wherein the colors are twelve fundamental colors representative of at least one of selected colors, chromas, and grays; and

a musical instrument, comprising;

twelve contact positions associated with the twelve consecutive chromatic notes representing consecutive tones of a musical 5th relationship, wherein the twelve contact positions are configured with the consecutive chromatic colors.