Kite's color notation/Temperament names: Difference between revisions

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To make the names easier for non-Anglophones, and to make the names quicker to say, the 5 vowels are the basic vowels found in Spanish, ah eh ee oh oo. In Spanish and many other languages, "th" would become "tr". See [[Color notation/Translations|Color Notation/Translations]].

Any comma < 256/243 = 90¢ is guaranteed to be the smallest ratio in its segment. Any comma > 9/8 = 204¢ is guaranteed to not be the smallest, and -bi must be appended to the name. If a comma is 90-204¢, let X = the sum of all the ~~exponents of~~ the monzo except the ~~two exponent~~. If and only if X mod 7 is 4 or 5, 256/243 can be subtracted without changing the magnitude, and the comma is the 2nd smallest ratio.

Any comma < 256/243 = 90¢ is guaranteed to be the smallest ratio in its segment. Any comma > 9/8 = 204¢ is guaranteed to not be the smallest, and -bi must be appended to the name. If a comma is 90-204¢, let S = the sum of all the numbers in the monzo except the first one. If and only if S mod 7 is 4 or 5, 256/243 can be subtracted without changing the magnitude, and the comma is the 2nd smallest ratio.

Sometimes the smallest ratio in a segment is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/~~440~~. But since this is (21/20)2, tempering it out would simply result in zgT. Thus there is no bizogu temperament, although there is a bizogubi one.

Sometimes the smallest ratio in a segment is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/400. But since this is (21/20)2, tempering it out would simply result in zgT. Thus there is no bizogu temperament, although there is a bizogubi one.

A temperament name will never end with -quin, -tribi or -sep, because it would be named after the octave inverse of the comma instead. Sagusep is actually layo, and sagutribi is actually layobi. Any comma that is 204-294¢ is -bi, and any 408-498¢ comma is -tri.

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 To make the names easier for non-Anglophones, and to make the names quicker to say, the 5 vowels are the basic vowels found in Spanish, ah eh ee oh oo. In Spanish and many other languages, "th" would become "tr". See [[Color notation/Translations|Color Notation/Translations]].
-Any comma < 256/243 = 90¢ is guaranteed to be the smallest ratio in its segment. Any comma > 9/8 = 204¢ is guaranteed to <u>not</u> be the smallest, and -bi must be appended to the name. If a comma is 90-204¢, let X = the sum of all the exponents of the monzo except the two exponent. If and only if X mod 7 is 4 or 5, 256/243 can be subtracted without changing the magnitude, and the comma is the 2nd smallest ratio.
+Any comma < 256/243 = 90¢ is guaranteed to be the smallest ratio in its segment. Any comma > 9/8 = 204¢ is guaranteed to <u>not</u> be the smallest, and -bi must be appended to the name. If a comma is 90-204¢, let S = the sum of all the numbers in the monzo except the first one. If and only if S mod 7 is 4 or 5, 256/243 can be subtracted without changing the magnitude, and the comma is the 2nd smallest ratio.
-Sometimes the smallest ratio in a segment is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/440. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in zgT. Thus there is no bizogu temperament, although there is a bizogubi one.
+Sometimes the smallest ratio in a segment is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/400. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in zgT. Thus there is no bizogu temperament, although there is a bizogubi one.
 A temperament name will never end with -quin, -tribi or -sep, because it would be named after the octave inverse of the comma instead. Sagusep is actually layo, and sagutribi is actually layobi. Any comma that is 204-294¢ is -bi, and any 408-498¢ comma is -tri.