Kite's color notation: Difference between revisions

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=='''CRASH COURSE:'''==

Wa = white = 3-limit~~, yo = yellow = 5-over, gu = green = 5-under, zo = blue/azure = 7-over (subminor), ru = red = 7-under (supermajor).~~

'''Wa''' = white (strong but colorless) = 3-limit

~~Ya means~~ 5-~~all~~, ~~i.e. 5~~-~~limit~~, and ~~includes~~ wa, ~~yo, yoyo, gu, gugu, etc~~. ~~Za (~~7-~~all) includes all 2~~.3.7 ~~ratios. Yaza means 7-limit~~.

'''Yo''' = yellow (warm and sunny) = 5-over = major

'''Gu''' ("goo") = green (not as bright as yellow) = 5-under = minor

'''Zo''' = blue/azure (dark and bluesy) = 7-over = subminor

'''Ru''' = red (alarming, inflamed) = 7-under = supermajor

A color and a degree indicates a ratio, and vice versa. 3/2 = wa 5th = w5. The colors come in a red-yellow-green-blue rainbow, with warm/cool colors indicating sharp/flat intervals. The rainbow of 3rds: r3 - y3 - g3 - z3 = 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.

[[File:Lattice32.png|694x694px]]

Notes are named wC, zE♭, etc. Triads are named after their 3rd: Cy, Gz, etc. The four main yaza triads:[[File:lattice62.png|alt=lattice62.png|640x138px|lattice62.png]]

25/16 = yoyo 5th = yy5. Notes are named wC, zE♭, yyG#, etc.

'''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.

Triads are named after their 3rd: Cy, Gz, etc. The four main yaza triads:[[File:lattice62.png|alt=lattice62.png|640x138px|lattice62.png]]

Tetrads are named Cy6, Dg7, etc. The 11 main yaza tetrads, with homonyms equated:

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[[File:lattice63a.png|alt=lattice63a.png|626x561px|lattice63a.png]]

Chord progressions: ~~the~~ root of each chord has a color, which defaults to ~~white~~. C -- Am -- F -- G would be Cy -- yAg -- Fy -- Gy.

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 it has no 7th. There are h9 chords, s11 chords, etc.

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.

In relative notation, the I, IV and V chords are assumed to have ~~white~~ roots unless otherwise specified, so this becomes Iy -- yVIg -- IVy -- Vy.

In relative notation, the I, IV and V chords are assumed to have wa roots unless otherwise specified, so this becomes Iy -- yVIg -- IVy -- Vy.

Here's ~~Iyb~~ -- ~~IVyb~~ -- ~~Iyb~~ -- ~~Vyb~~ in B flat:

Staff notation: Here's Ih7 -- IVh7 -- Ih7 -- Vh7 in B flat:

[[File:Notation_example_1.png|alt=Notation example 1.png|619x81px|Notation example 1.png]]

Temperaments are named after the comma(s) they temper out. Porcupine is triple yo~~, and~~ 7-limit ~~pajara is double ruyo~~ and ru. The name indicates the prime subgroup and the rank of the temperament.

More remote intervals are '''large''' (fifthward) and '''small''' (fourthward). '''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.[[File:Lattice41a.png|731x731px]]

Temperaments are named after the color of the comma(s) they temper out. 5-limit Porcupine = triple yo = y3T. 7-limit porcupine = triple yo and ru = y3&rT. The name indicates the prime subgroup and the rank of the temperament.

Colors for primes > 7 are named after the number itself:

'''Lova''' = 11-over, '''lu''' = 11-under, '''la''' = 11-all. (Lova not lo, to distinguish lo from low, as in "low C".) Lova and lu are abbreviated to '''1o''' and '''1u''' in interval names and chord names, e.g. lova 4th = 1o4 = 11/8 and C1o7 = 1/1 - 11/9 - 3/2 - 11/6. The associated color is lavender (mnemonic: "e-leven-der"), which refers to both lova and lu, since they are only 7.1¢ apart (e.g. lo 3rd = 11/9 and lu 3rd = 27/22). Lova notes are lovender, and lu notes are luvender.

'''Tho''' = 13-over, '''thu''' = 13-under, '''tha''' = 13-all. Tho and thu are abbreviated to '''3o''' and '''3u''' in interval names and chord names, e.g. 13/8 = 3o6 = tho 6th.

Yala = 2.3.5.11, yazalatha = 2.3.5.7.11.13 = 13-limit, and yalatha nowa = 2.5.11.13.

'''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.

'''Nova''' = 19-over, '''nunda''' = 19-under, '''Na''' = 19-all, abbreviated as '''19o''' and '''19u'''. Nova because "no 3rd" could mean either 19/16 or thirdless. Nunda because "the nu key" sounds like "the new key".

'''Twenty-tho''' = 23-over, '''twenty-thu''' = 23-under, '''twenty-tha''' =23-all, abbreviated as '''23o''' and '''23u.'''

'''Twenty-no''' / '''twenty-nu''' / '''twenty-na''' = 29, '''thirty-wo''' / '''thirty-wu''' / '''thirty-wa''' = 31, '''thirty-so''' / '''thirty-su''' / '''thirty-sa''' = 37, etc.

=='''FULL EXPLANATION:'''==

@@ Line 6: / Line 6: @@
 =='''<u>CRASH COURSE</u>:'''==
-Wa = white = 3-limit, yo = yellow = 5-over, gu = green = 5-under, zo = blue/azure = 7-over (subminor), ru = red = 7-under (supermajor).
+'''Wa''' = white (strong but colorless) = 3-limit
-Ya means 5-all, i.e. 5-limit, and includes wa, yo, yoyo, gu, gugu, etc. Za (7-all) includes all 2.3.7 ratios. Yaza means 7-limit.
+'''Yo''' = yellow (warm and sunny) = 5-over = major
+'''Gu''' ("goo") = green (not as bright as yellow) = 5-under = minor
+'''Zo''' = blue/azure (dark and bluesy) = 7-over = subminor
+'''Ru''' = red (alarming, inflamed) = 7-under = supermajor
+A color and a degree indicates a ratio, and vice versa. 3/2 = wa 5th = w5. The colors come in a red-yellow-green-blue rainbow, with warm/cool colors indicating sharp/flat intervals. The rainbow of 3rds: r3 - y3 - g3 - z3 = 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.
 [[File:Lattice32.png|694x694px]]
-Notes are named wC, zE♭, etc. Triads are named after their 3rd: Cy, Gz, etc. The four main yaza triads:[[File:lattice62.png|alt=lattice62.png|640x138px|lattice62.png]]
+/16 = yoyo 5th = yy5. Notes are named wC, zE♭, yyG#, etc.
+'''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.
+Triads are named after their 3rd: Cy, Gz, etc. The four main yaza triads:[[File:lattice62.png|alt=lattice62.png|640x138px|lattice62.png]]
 Tetrads are named Cy6, Dg7, etc. The 11 main yaza tetrads, with homonyms equated:
@@ Line 18: / Line 30: @@
 [[File:lattice63a.png|alt=lattice63a.png|626x561px|lattice63a.png]]
-Chord progressions: the root of each chord has a color, which defaults to white. C -- Am -- F -- G would be Cy -- yAg -- Fy -- Gy.
+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 it has no 7th. There are h9 chords, s11 chords, etc.
+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.
-In relative notation, the I, IV and V chords are assumed to have white roots unless otherwise specified, so this becomes Iy -- yVIg -- IVy -- Vy.
+In relative notation, the I, IV and V chords are assumed to have wa roots unless otherwise specified, so this becomes Iy -- yVIg -- IVy -- Vy.
-Here's Iyb -- IVyb -- Iyb -- Vyb in B flat:
+Staff notation: Here's Ih7 -- IVh7 -- Ih7 -- Vh7 in B flat:
 [[File:Notation_example_1.png|alt=Notation example 1.png|619x81px|Notation example 1.png]]
-Temperaments are named after the comma(s) they temper out. Porcupine is triple yo, and 7-limit pajara is double ruyo and ru. The name indicates the prime subgroup and the rank of the temperament.
+More remote intervals are '''large''' (fifthward) and '''small''' (fourthward). '''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.[[File:Lattice41a.png|731x731px]]
+Temperaments are named after the color of the comma(s) they temper out. 5-limit Porcupine = triple yo = y<sup>3</sup>T. 7-limit porcupine = triple yo and ru = y<sup>3</sup>&rT.  The name indicates the prime subgroup and the rank of the temperament.
+Colors for primes > 7 are named after the number itself:
+'''Lova''' = 11-over, '''lu''' = 11-under, '''la''' = 11-all. (Lova not lo, to distinguish lo from low, as in "low C".) Lova and lu are abbreviated to '''1o''' and '''1u''' in interval names and chord names, e.g. lova 4th = 1o4 = 11/8 and C1o7 = 1/1 - 11/9 - 3/2 - 11/6. The associated color is lavender (mnemonic: "e-leven-der"), which refers to both lova and lu, since they are only 7.1¢ apart (e.g. lo 3rd = 11/9 and lu 3rd = 27/22). Lova notes are lovender, and lu notes are luvender.
+'''Tho''' = 13-over, '''thu''' = 13-under, '''tha''' = 13-all. Tho and thu are abbreviated to '''3o''' and '''3u''' in interval names and chord names, e.g. 13/8 = 3o6 = tho 6th.
+Yala = 2.3.5.11, yazalatha = 2.3.5.7.11.13 = 13-limit, and yalatha nowa = 2.5.11.13.
+'''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.
+'''Nova''' = 19-over, '''nunda''' = 19-under, '''Na''' = 19-all, abbreviated as '''19o''' and '''19u'''. Nova because "no 3rd" could mean either 19/16 or thirdless. Nunda because "the nu key" sounds like "the new key".
+'''Twenty-tho''' = 23-over, '''twenty-thu''' = 23-under, '''twenty-tha''' =23-all, abbreviated as '''23o''' and '''23u.'''
+'''Twenty-no''' / '''twenty-nu''' / '''twenty-na''' = 29, '''thirty-wo''' / '''thirty-wu''' / '''thirty-wa''' = 31, '''thirty-so''' / '''thirty-su''' / '''thirty-sa''' = 37, etc.
 =='''<u>FULL EXPLANATION</u>:'''==