Kite's color notation: Difference between revisions

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The disambiguation prefix i- is only needed when the color word appears alone, and confusion is possible. Thus 11/7 = loru 5th, not iloru 5th, and 29o = twenty-no, not twenty-ino.

== Converting a monzo to/from a color name ==

Converting a [[Monzos|monzo]]: to find the degree, first find the dot product of the monzo with the 7edo [[patent val]] or edomapping <7 11 16 20 24 26 29 30|. Then add 1, or subtract 1 if the answer is negative. To find the color, combine all the appropriate colors for each prime, highest prime first. To find the magnitude, add up all the monzo exponents except the first one, divide by 7, and round off.

Converting a color name: The colors directly give you all the monzo entries except the first two. (more to come...)

== Chord Names ==

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A 9th chord contains a 3rd, 5th and 7th. An 11th chord contains all these plus a 9th. A 13th chord contains all these plus an 11th. The 5th, 9th and/or 13th default to wa. The 6th, 7th, and/or 11th default to the color of the 3rd. Thus Cy13 = w1 y3 w5 y7 w9 y11 w13, and Cy9 and Cy11 are subsets of this chord. However, an add-11 chord defaults to a wa 11: Cz7,11 = w1 z3 w5 z7 w11. Added 9ths default to wa: Cy,9 = w1 y3 w5 w9.

Alterations are always in parentheses, additions never are, e.g. z7(zg5). An alteration's degree must match a note in the chord, e.g. z7(y6) is invalid. But an exception is made for sus chords, where degree 2 or 4 alter the 3rd: C(z4) = w1 z4 w5. The sus note defaults to wa: ~~Cz7~~(4) = w1 w4 w5 z7.

Alterations are always in parentheses, additions never are, e.g. z7(zg5). An alteration's degree must match a note in the chord, e.g. z7(y6) is invalid. But an exception is made for sus chords, where degree 2 or 4 alter the 3rd: C(z4) = w1 z4 w5. The sus note defaults to wa: Cy9(4) = w1 w4 w5 y7 w9.

Omissions are indicated by "no", the Hendrix chord might be Ch7z10no5. Enharmonic substitutions aren't allowed, 7/3 is a m10, not an A9. A no3 chord can also be written as a 5 chord with an added note: C5z7 = w1 w5 z7, and C(zg5)z7 = w1 zg5 z7. Omissions in harmonic and subharmonic chords refer to degree not harmonic. Ch11no3 omits y3, not the 3rd harmonic w5. However, numbers ≥ 15 always refer to (sub)harmonics, as in Ch15 or Cs15.

@@ Line 65: / Line 65: @@
 The disambiguation prefix i- is only needed when the color word appears alone, and confusion is possible. Thus 11/7 = loru 5th, not iloru 5th, and 29o = twenty-no, not twenty-ino.
+== Converting a monzo to/from a color name ==
+Converting a [[Monzos|monzo]]: to find the degree, first find the dot product of the monzo with the 7edo [[patent val]] or edomapping <7 11 16 20 24 26 29 30|. Then add 1, or subtract 1 if the answer is negative. To find the color, combine all the appropriate colors for each prime, highest prime first. To find the magnitude, add up all the monzo exponents except the first one, divide by 7, and round off.
+Converting a color name: The colors directly give you all the monzo entries except the first two. (more to come...)
 == Chord Names ==
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 A 9th chord contains a 3rd, 5th and 7th. An 11th chord contains all these plus a 9th. A 13th chord contains all these plus an 11th. The 5th, 9th and/or 13th default to wa. The 6th, 7th, and/or 11th default to the color of the 3rd. Thus Cy13 = w1 y3 w5 y7 w9 y11 w13, and Cy9 and Cy11 are subsets of this chord. However, an add-11 chord defaults to a wa 11: Cz7,11 = w1 z3 w5 z7 w11. Added 9ths default to wa: Cy,9 = w1 y3 w5 w9.
-<u>Alterations are always in parentheses</u>, additions never are, e.g. z7(zg5). An alteration's degree must match a note in the chord, e.g. z7(y6) is invalid. But an exception is made for sus chords, where degree 2 or 4 alter the 3rd: C(z4) = w1 z4 w5. The sus note defaults to wa: Cz7(4) = w1 w4 w5 z7.
+<u>Alterations are always in parentheses</u>, additions never are, e.g. z7(zg5). An alteration's degree must match a note in the chord, e.g. z7(y6) is invalid. But an exception is made for sus chords, where degree 2 or 4 alter the 3rd: C(z4) = w1 z4 w5. The sus note defaults to wa: Cy9(4) = w1 w4 w5 y7 w9.
 Omissions are indicated by "no", the Hendrix chord might be Ch7z10no5. <u>Enharmonic substitutions aren't allowed</u>, 7/3 is a m10, not an A9. A no3 chord can also be written as a 5 chord with an added note: C5z7 = w1 w5 z7, and C(zg5)z7 = w1 zg5 z7. Omissions in harmonic and subharmonic chords refer to degree not harmonic. Ch11no3 omits y3, not the 3rd harmonic w5. However, numbers ≥ 15 always refer to (sub)harmonics, as in Ch15 or Cs15.