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

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Multi-comma temperaments are named as a list of commas. For example, 7-limit porcupine is Triyo & Ru. See below for further discussion.

If the comma is wa, an edo is implied. For the most common cases of 5-edo, 7-edo and 12-edo, the temperament is named after the wa comma (Sawa, Lawa and Lalawa respectively). For example, tempering out the pythagorean comma and 225/224 makes Lalawa & Ruyoyo. Every other wa comma is named after the edo it implies, thus [-30 19> is 19~~-edo~~, not the difficult-to-decipher Trila-wabi. Note that multi-ring edos can't be implied by a wa comma, ~~such as~~ 10~~-edo~~. However 10-edo can be created with a non-wa comma, or by a wa comma plus ~~another~~, e.g. Sawa & Yoyo.

If the comma is wa, an edo is implied. For the most common cases of 5-edo, 7-edo and 12-edo, the temperament is named after the wa comma (Sawa, Lawa and Lalawa respectively). For example, tempering out the pythagorean comma and 225/224 makes Lalawa & Ruyoyo. Every other wa comma is named after the edo it implies, thus [-30 19> is Wa-19, not the difficult-to-decipher Trila-wabi. Note that multi-ring edos such as 10-edo can't be implied by a wa comma, and Wa-10 is not a valid comma name. However 10-edo can be created with a non-wa comma, or by a wa comma plus a non-wa comma, e.g. Sawa & Yoyo.

If the commas don't include every prime in the subgroup, some primes are untempered. These primes are added with a plus sign: [[Blackwood]] is Sawa + ya. The 2.3.5.7.11 subgroup with 81/80 tempered out is Gu + zala. Primes 2 and 3 are always assumed to be present in the subgroup, even if the commas don't contain them. They are never added, but are sometimes removed. Prime 3 is removed with the term "Nowa", and prime 2 with "Noca" (ca for clear). Thus 2.5.7 with 50/49 is named Biruyo Nowa. "Nowaca" removes both 2 and 3.

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 Multi-comma temperaments are named as a list of commas. For example, 7-limit porcupine is Triyo & Ru. See below for further discussion.
-If the comma is wa, an edo is implied. For the most common cases of 5-edo, 7-edo and 12-edo, the temperament is named after the wa comma (Sawa, Lawa and Lalawa respectively). For example, tempering out the pythagorean comma and 225/224 makes Lalawa & Ruyoyo. Every other wa comma is named after the edo it implies, thus [-30 19> is 19-edo, not the difficult-to-decipher Trila-wabi. Note that multi-ring edos can't be implied by a wa comma, such as 10-edo. However 10-edo can be created with a non-wa comma, or by a wa comma plus another, e.g. Sawa & Yoyo.
+If the comma is wa, an edo is implied. For the most common cases of 5-edo, 7-edo and 12-edo, the temperament is named after the wa comma (Sawa, Lawa and Lalawa respectively). For example, tempering out the pythagorean comma and 225/224 makes Lalawa & Ruyoyo. Every other wa comma is named after the edo it implies, thus [-30 19> is Wa-19, not the difficult-to-decipher Trila-wabi. Note that multi-ring edos such as 10-edo can't be implied by a wa comma, and Wa-10 is not a valid comma name. However 10-edo can be created with a non-wa comma, or by a wa comma plus a non-wa comma, e.g. Sawa & Yoyo.
 If the commas don't include every prime in the subgroup, some primes are untempered. These primes are added with a plus sign: [[Blackwood]] is Sawa + ya. The 2.3.5.7.11 subgroup with 81/80 tempered out is Gu + zala. Primes 2 and 3 are always assumed to be present in the subgroup, even if the commas don't contain them. They are never added, but are sometimes removed. Prime 3 is removed with the term "Nowa", and prime 2 with "Noca" (ca for clear). Thus 2.5.7 with 50/49 is named Biruyo Nowa. "Nowaca" removes both 2 and 3.