Kite's color notation: Difference between revisions

'''Wa''' = white (strong but colorless) = 3-limit <br/>

'''Yo''' = yellow (warm and sunny) = 5-over = major <br/>

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

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

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

21/10 = zogu 9th = zg9. 25/16 = yoyo 5th = yy5. 128/125 = triple gu 2nd = g³2. 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.   

The next table lists various 7-limit intervals, see the [[Gallery of Just Intervals]] for many more examples.   

!'''color & degree'''

!'''shorthand'''

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) and not unique (there are other major thirds available). See the "Higher Primes" section below for why quality isn't used with color names. Instead of augmented and diminished, 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 except the first one, 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.

A '''comma''' is 10-50¢, a '''minicomma''' is 1-10¢, and a '''microcomma''' is 0-1¢. These categories allow 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 LLg-2 is not <u>the</u> gu comma, because its odd limit is higher. Thus its name can't be shortened.

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: "yo A gu" = yAg = yA + (w1 g3 w5) = yA + wC + yE.

Temperaments are named after the color of the comma(s) they temper out. Meantone = the green temperament = gT. 5-limit Porcupine = triple yo = y³T. 7-limit Porcupine = triple yo and ru = y³&rT. Each porcupine has a different name, thus color names provide more information. Both porcupines have the same [[pergen]], third-4th, thus pergens group together similar temperaments.         

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. Thus ryyT is rank-3 because it has 2 explicit colors ru and yo and 2 implicit colors wa and clear, and 4 colors minus 1 comma = rank-3.