User:Userminusone/Goldis comma: Difference between revisions

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Semigoldis pure fifths generator - 229.248125036 cents

Curiously enough, semigoldis naturally extends to the 11 limit by adding the one and only [[quartisma]], which doesn't require the generator to be further split into any number of parts. ~~Again~~, ~~high~~ complexity is the downside ~~here~~. (The exception is 7/4, which is reached by only -1 generators). 5/4 is reached by -14 generators, 3/2 is reached by +24 generators, and 11/8 is reached by -29 generators. 89edo is a really good tuning for 11-limit semigoldis, but all the EDOs that support 7-limit semigoldis also support 11-limit semigoldis.

Curiously enough, semigoldis naturally extends to the 11 limit by adding the one and only [[quartisma]], which doesn't require the generator to be further split into any number of parts. In addition, 11-limit semigoldis tempers out the [[valinorsma]]. High complexity is the downside for this temperament, as is the case with 7-limit semigoldis. (The exception is 7/4, which is reached by only -1 generators). 5/4 is reached by -14 generators, 3/2 is reached by +24 generators, and 11/8 is reached by -29 generators. 89edo is a really good tuning for 11-limit semigoldis, but all the EDOs that support 7-limit semigoldis also support 11-limit semigoldis.

11-limit semigoldis pure 11/8s generator - 229.264898539 cents

[http://x31eq.com/cgi-bin/uv.cgi?uvs=%5B39%2C-7%2C-12%3E&page=2&limit=5 temperament finder]

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 Semigoldis pure fifths generator - 229.248125036 cents
-Curiously enough, semigoldis naturally extends to the 11 limit by adding the one and only [[quartisma]], which doesn't require the generator to be further split into any number of parts. Again, high complexity is the downside here. (The exception is 7/4, which is reached by only -1 generators). 5/4 is reached by -14 generators, 3/2 is reached by +24 generators, and 11/8 is reached by -29 generators. 89edo is a really good tuning for 11-limit semigoldis, but all the EDOs that support 7-limit semigoldis also support 11-limit semigoldis.
+Curiously enough, semigoldis naturally extends to the 11 limit by adding the one and only [[quartisma]], which doesn't require the generator to be further split into any number of parts. In addition, 11-limit semigoldis tempers out the [[valinorsma]]. High complexity is the downside for this temperament, as is the case with 7-limit semigoldis. (The exception is 7/4, which is reached by only -1 generators). 5/4 is reached by -14 generators, 3/2 is reached by +24 generators, and 11/8 is reached by -29 generators. 89edo is a really good tuning for 11-limit semigoldis, but all the EDOs that support 7-limit semigoldis also support 11-limit semigoldis.
 -limit semigoldis pure 11/8s generator - 229.264898539 cents
 [http://x31eq.com/cgi-bin/uv.cgi?uvs=%5B39%2C-7%2C-12%3E&page=2&limit=5 temperament finder]