Kite's color notation: Difference between revisions

* No new symbols: all new accidentals are familiar characters, hence they are immediately <u>speed-readable</u>.

* Furthermore, they are all on the QWERTY keyboard, making the notation easily <u>typeable</u>.

* Accidentals can be combined and even exponentiatied, minimizing the number of new accidentals to learn.

* Most important of all, there are names for not only notes but also <u>intervals</u>.

* As a result, color notation can name scales, chords, chord progressions and even prime subgroups and temperaments.

== Color Names for Primes 3, 5 and 7 ==

&nbsp; &nbsp; &nbsp;3-all = '''Wa''' = white (strong but colorless) = often perfect<br />

Yo and ru intervals tend to be major, and gu and zo ones tend to be minor. But interval quality is redundant (if a third is yo, it must be major), it's not unique (there are other major thirds available), and quality isn't used with color names (see [[#Color Names for Higher Primes]] below for why). Instead of augmented and diminished, remote intervals are '''large''' (fifthward) and '''small''' (fourthward), written as L and s, and abbreviated as '''la''' and '''sa'''. '''Central''', the default, means neither large nor small. The general term for large/small/central/etc. is '''magnitude'''. When discussing magnitudes in general (e.g. tempering out a large comma usually flattens the 5th), the full words large and small are used to avoid confusion with solfege's La and saregam's Sa. A ratio's magnitude is the sum of all the monzo exponents except the first one, divided by 7, and rounded off. 0 = central, 1 = large, 2 = double large, etc. 81/64 = Lw3, 135/128 = Ly1. Unfortunately, magnitudes do not add up predictably like colors and degrees do: w2 + w2 = Lw3. Only intervals have a magnitude, notes never do, and L and s never appear on the staff.

Colors using only one prime above 3 are called '''primary''' colors. Thus gu and yoyo are primary and ruyo is non-primary.   

Degrees can be negative: 50/49 = biruyo 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. There are also diminished unisons, which raise the pitch but diminish the quality. For example, if 11/8 is notated as a P4, two of them are a m7 of 121/64 = 1102¢. Going from a yo M7 = 1088¢ up to this m7 raises the pitch, and 121/120 is a dim unison.

== Note Names ==

Thus 23/16 = 628¢ is a 5th, 31/16 = 1145¢ is a 7th, and 37/32 = 251¢ is a 3rd. This makes the "pseudo-edomapping" <7 11 16 20 24 26 29 30 32 34 37...]. An alternative method would use the actual 7edo [[edomapping]], but that requires using every other 14edostep as boundaries, harder to remember and much less convenient than the 24edo boundaries used here. Since negative intervals will arise no matter what, convenience is prioritized. For the first 26 primes, the 24edo-based degrees correspond to 7klmrs-edo.

== Converting a Ratio to/from a Color Name ==

Often a ratio can be converted by breaking it down into simpler ratios with familiar color names, then adding. For example, 45/32 is 5/4 times 9/8, which is y3 plus w2. The colors and degrees are summed, making y4. The magnitude is <u>not</u> summed, and must be found either visually from the lattices above, or from the monzo directly. 45/32 = [-5 2 1>, and (2+1)/7 rounds to 0, so it's central, and 45/32 = y4.     

== Temperament Names ==

== Ups and Downs, Lifts and Drops, Plain and Mid ==

== Glossary / Crash Course ==

{| class="wikitable" style="text-align:center"

|+

|(clear)

| —

|squared

|-

|wa (white)

| —

|cubed

|-

|^23

|}

{| class="wikitable"

|+

|quadruple, exponent of 4

|Diminished temperament = 648/625 = Quadgu = g⁴T

|-

| -bi