Breedsmic temperaments: Difference between revisions

Line 23:

[[Minimax tuning]]:

* 7 and 9-limit minimax: ~49/40 = {{monzo|1/5 0 1/25}}

* [[7-odd-limit|7-]] and [[9-odd-limit]] minimax: ~49/40 = {{monzo|1/5 0 1/25}}

: [{{monzo|1 0 0 0}}, {{monzo|7/5 0 2/25 0}}, {{monzo|0 0 1 0}}, {{monzo|8/5 0 13/25 0}}]

: Eigenmonzos: 2, 5

Line 330:

~~In addition to~~ 2401/2400~~, decoid tempers out~~ 67108864/66976875 ~~to temper~~ 15/~~14 into one degree of [[10edo~~|~~10EDO~~]]. Either 8/7 or 16/15 can be used its generator. It may be described as the 130&270 temperament, and as one might expect, 181\940 or 233\1210 makes for an excellent tuning choice. It is also described as an extension of the [[Qintosec family|qintosec temperament]].

Decoid tempers out 2401/2400 and 67108864/66976875, as well as the [[15/14ths equal temperament|linus comma]], {{monzo|11 -10 -10 10}}. Either 8/7 or 16/15 can be used its generator. It may be described as the 130&270 temperament, and as one might expect, 181\940 or 233\1210 makes for an excellent tuning choice. It is also described as an extension of the [[Qintosec family|qintosec temperament]].

Subgroup: 2.3.5.7

Line 571:

=== Sedia ===

The ''sedia'' temperament (10&161~~, named by [[User:Xenllium|Xenllium]]~~) is an 11-limit extension of the septidiasemi, which tempers out 243/242 and 441/440.

The ''sedia'' temperament (10&161) is an 11-limit extension of the septidiasemi, which tempers out 243/242 and 441/440.

Subgroup: 2.3.5.7.11

@@ Line 23: / Line 23: @@
 [[Minimax tuning]]:
-* 7 and 9-limit minimax: ~49/40 = {{monzo|1/5 0 1/25}}
+* [[7-odd-limit|7-]] and [[9-odd-limit]] minimax: ~49/40 = {{monzo|1/5 0 1/25}}
 : [{{monzo|1 0 0 0}}, {{monzo|7/5 0 2/25 0}}, {{monzo|0 0 1 0}}, {{monzo|8/5 0 13/25 0}}]
 : Eigenmonzos: 2, 5
@@ Line 330: / Line 330: @@
 {{see also|Qintosec family #Decoid}}
-In addition to 2401/2400, decoid tempers out 67108864/66976875 to temper 15/14 into one degree of [[10edo|10EDO]]. Either 8/7 or 16/15 can be used its generator. It may be described as the 130&amp;270 temperament, and as one might expect, 181\940 or 233\1210 makes for an excellent tuning choice. It is also described as an extension of the [[Qintosec family|qintosec temperament]].
+Decoid tempers out 2401/2400 and 67108864/66976875, as well as the [[15/14ths equal temperament|linus comma]], {{monzo|11 -10 -10 10}}. Either 8/7 or 16/15 can be used its generator. It may be described as the 130&amp;270 temperament, and as one might expect, 181\940 or 233\1210 makes for an excellent tuning choice. It is also described as an extension of the [[Qintosec family|qintosec temperament]].
 Subgroup: 2.3.5.7
@@ Line 571: / Line 571: @@
 === Sedia ===
-The ''sedia'' temperament (10&amp;161, named by [[User:Xenllium|Xenllium]]) is an 11-limit extension of the septidiasemi, which tempers out 243/242 and 441/440.
+The ''sedia'' temperament (10&amp;161) is an 11-limit extension of the septidiasemi, which tempers out 243/242 and 441/440.
 Subgroup: 2.3.5.7.11