Kite's color notation: Difference between revisions
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'''Ru''' = red (alarming, inflamed) = 7-under = supermajor | '''Ru''' = red (alarming, inflamed) = 7-under = supermajor | ||
The colors come in a red-yellow-green-blue rainbow, with warm/cool colors indicating sharp/flat intervals. The rainbow of 3rds | The colors come in a red-yellow-green-blue rainbow, with warm/cool colors indicating sharp/flat intervals. The rainbow of 3rds runs 9/7 - 5/4 - 6/5 - 7/6. Azure is used instead of blue because b looks like a flat sign. Mnemonic: Z looks like 7 with an extra line on the bottom. | ||
== Prime Subgroup Names == | |||
Just as wa means 3-all or 3-limit, '''ya''' means 5-all and includes wa, yo, gu, yoyo, gugu, etc. Ya = the 2.3.5 subgroup = 5-limit. '''Za''' = 7-all = 2.3.7. '''Yaza''' = 2.3.5.7 = 7-limit. Yaza nowa = 2.5.7. | |||
Prime 2 (even more colorless than wa) is clear, abbreviated '''ca''', and yaza noca = 3.5.7. 2-limit intervals like 2/1 are called wa not clear, for simplicity. | |||
== Interval Names == | == Interval Names == | ||
A color and a degree indicates a ratio, and vice versa. 2 | A color and a degree indicates a ratio, and vice versa. Every ratio has a spoken name and a written name. For 3/2, they are wa 5th and w5. Colors and degrees <u>always</u> add up predictably: z3 + g3 = zg5 = zogu 5th. Zogu not guzo, higher primes always come first. Opposite colors cancel: y3 + g3 = w5. | ||
The JI lattice consists of many '''lattice rows''', each one a chain of 5ths. Each lattice row has its own color, and each color has its own lattice row. | The JI lattice consists of many '''lattice rows''', each one a chain of 5ths. Each lattice row has its own color, and each color has its own lattice row. | ||
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[[File:Lattice32.png|694x694px]] | [[File:Lattice32.png|694x694px]] | ||
21/10 = zogu 9th = zg9. 25/16 = yoyo 5th = yy5. 128/125 = triple gu 2nd = g<sup>3</sup>2. 50/49 = double ruyo negative 2nd = rryy-2. It's a negative 2nd because it goes up in pitch but down the scale: zg5 + rryy-2 = ry4. Negative is different than descending, from ry4 to zg5 is a descending | 21/10 = zogu 9th = zg9. 25/16 = yoyo 5th = yy5. 128/125 = triple gu 2nd = g<sup>3</sup>2. 50/49 = double ruyo negative 2nd = rryy-2. It's a negative 2nd because it goes up in pitch but down the scale: zg5 + rryy-2 = ry4. Negative is different than descending, from ry4 to zg5 is a descending negative 2nd. | ||
More remote intervals are '''large''' (fifthward) and '''small''' (fourthward), abbreviated L and s. '''Central''' means neither large nor small. The '''magnitude''' is found by adding up all the monzo exponents but the first, dividing by 7, and rounding off. 0 = central, 1 = large, 2 = double large, etc. 81/64 = Lw3, 135/128 = Ly1. Magnitudes do not add up predictably like colors and degrees do: w2 + w2 = Lw3. | More remote intervals are '''large''' (fifthward) and '''small''' (fourthward), abbreviated L and s. '''Central''' means neither large nor small. The '''magnitude''' is found by adding up all the monzo exponents but the first, dividing by 7, and rounding off. 0 = central, 1 = large, 2 = double large, etc. 81/64 = Lw3, 135/128 = Ly1. Magnitudes do not add up predictably like colors and degrees do: w2 + w2 = Lw3. | ||
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[[File:Lattice41a.png|731x731px]] | [[File:Lattice41a.png|731x731px]] | ||
A comma is 10-50¢, a '''minicomma''' is 1-10¢, and a '''microcomma''' is 0-1¢. This allows us to omit the magnitude in the spoken name. Thus sgg2 is not the small gugu 2nd, but simply the gugu comma. The double-large wa negative 2nd (the pyth comma) is simply the wa comma. 81/80 = g1 is the gu comma. LLg-2 = g1 + LLw-2 is also gu and also a comma, but it's not <u>the</u> gu comma , because its odd limit is so much higher. | |||
See [[Gallery of Just Intervals]] for more examples of interval names. | See [[Gallery of Just Intervals]] for more examples of interval names. | ||
== Note Names == | |||
Notes are named zE♭, yyG#, etc. spoken as "zo E flat", "yoyo G sharp". Notes are never large or small, only intervals are. Uncolored notes default to wa. The relative-notation lattice above can be superimposed on an absolute-notation lattice to name every note. Thus D + y3 = yF#, and from yE to ryF# = r2. | |||
== Note | |||
Notes are named | |||
[[File:Lattice51.png|frameless|810x810px]] | [[File:Lattice51.png|frameless|810x810px]] | ||
Triads are named after their 3rd | == Chord Names == | ||
Triads are named after their 3rd, e.g. Cy. "Yo C" is a note, "C yo" is a chord. The four main yaza triads:[[File:lattice62.png|alt=lattice62.png|640x138px|lattice62.png]] | |||
If the root isn't wa, the root color is added to the interval color: yAg = yA + (w1 g3 w5) = yA + wC + yE. | If the root isn't wa, the root color is added to the interval color: yo A gu = yAg = yA + (w1 g3 w5) = yA + wC + yE. | ||
Tetrads are named Cy6, Dg7, etc. The 11 main yaza tetrads, with chord homonyms (same shape, different root) equated: | Tetrads are named Cy6, Dg7, etc. The 11 main yaza tetrads, with chord homonyms (same shape, different root) equated: | ||
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[[File:Lattice63.png|639x639px]] | [[File:Lattice63.png|639x639px]] | ||
The y,z7 chord is also called the h7 chord ("aitch-seven"), because it's part of the harmonic series. The s7 ("sub-seven") chord is part of the subharmonic series. It's the first 7 subharmonics, with the 3rd subharmonic becoming the root. Note that | The y,z7 chord is also called the h7 chord ("aitch-seven"), because it's part of the harmonic series. The s7 ("sub-seven") chord is part of the subharmonic series. It's the first 7 subharmonics, with the 3rd subharmonic becoming the root. Note that s7 has no 7th. There are h9 chords, s11 chords, etc. | ||
Alterations are in parentheses, additions never are. Omissions are indicated by "no". | Alterations are in parentheses, additions never are. Example: Ch7(zg5)zg9 = C yE zgG♭ zB♭ zgD♭. Omissions are indicated by "no", as in Ch11no3. In harmonic and subharmonic chords, the 3 refers to the degree, not the 3rd harmonic. However numbers ≥ 15 always refer to (sub)harmonics, as in Ch15. | ||
The color of the 6th, 7th, and/or the 11th | An 11th implies a 3rd, 5th, 7th and 9th. A 13th implies all these plus an 11th. The color of the 6th, 7th, and/or the 11th defaults to the color of the 3rd: The 5th, 9th and 13th default to wa. A y13 chord = w1 y3 w5 y7 w9 y11 w13. But an add 11 chord defaults to a wa 11: Cz7,11 = w1 z3 w5 z7 w11 | ||
== Chord Progressions | == Chord Progressions == | ||
The tonic is always wa. The root of each chord has a color, which defaults to wa. C - Am - F - G would be Cy - yAg - Fy - Gy. | The tonic is always wa. The root of each chord has a color, which defaults to wa. C - Am - F - G would be Cy - yAg - Fy - Gy. | ||
In relative notation, the I, IV and V chords | In relative notation, the I, IV and V chords default to a wa root. II, III, VI and VII <u>must</u> have an explicit root-color. gCy - gGy - Ag becomes gIIIy - gVIIy - Ig. | ||
Staff notation | == Staff notation == | ||
Every non-wa note is marked with a color accidental like g, ry, etc. Like sharp/flat accidentals, they apply to every such note in the measure. D and D♭ are not similar. Here's Ih7 -- IVh7 -- Ih7 -- Vh9 in B♭: | |||
[[File:Notation_example_1.png|alt=Notation example 1.png|619x81px|Notation example 1.png]] | [[File:Notation_example_1.png|alt=Notation example 1.png|619x81px|Notation example 1.png]] | ||
Keys are named | Unlike regular accidentals which apply to a note (e.g. A), color accidentals only apply to one specific "version" of that note (e.g. A flat or A natural). For example, the yellow accidental in the first chord applies to all the D naturals in that measure but not to the D flats. Like regular accidentals, color accidentals only apply to one octave. | ||
Keys are named after the colors used, the above is B♭ zo yo. Analogous to the relative and parallel major or minor, there is relative gu, parallel ru, etc. | |||
== Higher Primes == | == Higher Primes == | ||
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Yala = 2.3.5.11, yazalatha = 2.3.5.7.11.13 = 13-limit, and yalatha nowa = 2.5.11.13. | Yala = 2.3.5.11, yazalatha = 2.3.5.7.11.13 = 13-limit, and yalatha nowa = 2.5.11.13. | ||
While the note 11/8 from C can be written two ways, either as 1oF or as 1oF#, the interval 11/8 can only be written one way, as 1o4. This is the rationale for using large/small rather than major/minor. Intervals names and chord names become unambiguous for la and tha intervals. | While the note 11/8 from C can be written two ways, either as 1oF or as 1oF#, the interval 11/8 can only be written one way, as 1o4. Likewise, C + 13/8 is either 3oA or 3oA♭, but 13/8 is only 3o6. This is the rationale for using large/small rather than major/minor. Intervals names and chord names become unambiguous for la and tha intervals. | ||
'''So''' = 17-over, '''su''' = 17-under, '''sa''' = 17-all, abbreviated as '''17o''' and '''17u'''. '''Sova''' is an alternate form of so, to distinguish it from the solfege syllable Sol. | '''So''' = 17-over, '''su''' = 17-under, '''sa''' = 17-all, abbreviated as '''17o''' and '''17u'''. '''Sova''' is an alternate form of so, to distinguish it from the solfege syllable Sol. | ||
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== Temperament Names == | == Temperament Names == | ||
Temperaments are named after the color of the comma(s) they temper out. Meantone = the green temperament = gT. 5-limit Porcupine = triple yo = y<sup>3</sup>T. 7-limit porcupine = triple yo and ru = y<sup>3</sup>&rT. The magnitude is part of the name: Schismic is LyT. The degree is as well, if the comma is not the smallest of the 7 ratios of that magnitude and color: Mavila is Ly1T and Father is g2T. The temperament name indicates the prime subgroup and the rank of the temperament. | Temperaments are named after the color of the comma(s) they temper out. Meantone = the green temperament = gT. 5-limit Porcupine = triple yo = y<sup>3</sup>T. 7-limit porcupine = triple yo and ru = y<sup>3</sup>&rT. The magnitude is part of the name: Schismic is LyT. The degree is as well, if the comma is not the smallest of the 7 ratios of that magnitude and color: Mavila is Ly1T and Father is g2T. The temperament name indicates the prime subgroup and the rank of the temperament. ryyT is rank-3 because it has 2 explicit colors ru and yo, and 2 implicit colors wa and ca, and 4 colors minus 1 comma = rank-3. | ||
=='''<u>FULL EXPLANATION</u>:'''== | =='''<u>FULL EXPLANATION</u>:'''== | ||