Breedsmic temperaments: Difference between revisions

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In addition to 2401/2400, decoid tempers out 67108864/66976875 to temper 15/14 into one degree of [[10edo]]. Either 8/7 or 16/15 can be used its generator. It may be described as the 10&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]].

In addition to 2401/2400, decoid tempers out 67108864/66976875 to temper 15/14 into one degree of [[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]].

~~Commas~~: 2401/2400, 67108864/66976875

[[Comma list]]: 2401/2400, 67108864/66976875

POTE generator: ~8/7 = 231.099

[[POTE tuning|POTE generator]]: ~8/7 = 231.099

Map: [<10 0 47 36|, <0 2 -3 -1|]

[[Map]]: [<10 0 47 36|, <0 2 -3 -1|]

Wedgie: <<20 -30 -10 -94 -72 61||

~~EDOs:~~ 10~~, 120~~, 130, 270

{{Vals|legend=1| 10, 130, 270, 2020c, 2290c, 2560c, 2830bc, 3100bcc, 3370bcc, 3640bcc }}

Badness: 0.~~0339~~

[[Badness]]: 0.033902

==11-limit==

~~Commas~~: 2401/2400, 5832/5825, 9801/9800

Comma list: 2401/2400, 5832/5825, 9801/9800

POTE generator: ~8/7 = 231.070

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Map: [<10 0 47 36 98|, <0 2 -3 -1 -8|]

~~EDOs~~: 130, 270, 670, 940, 1210

Vals: {{Vals| 10e, 130, 270, 670, 940, 1210, 2150c }}

Badness: 0.~~0187~~

Badness: 0.018735

==13-limit==

~~Commas~~: 676/675, 1001/1000, 1716/1715, 4225/4224

Comma list: 676/675, 1001/1000, 1716/1715, 4225/4224

POTE generator: ~8/7 = 231.083

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Map: [<10 0 47 36 98 37|, <0 2 -3 -1 -8 0|]

~~EDOs~~: 130, 270, 940, ~~1480~~

Vals: {{Vals| 10e, 130, 270, 940, 1210f, 1480cf }}

Badness: 0.~~0135~~

Badness: 0.013475

=Neominor=

@@ Line 247: / Line 247: @@
 {{see also|Qintosec family #Decoid}}
-In addition to 2401/2400, decoid tempers out 67108864/66976875 to temper 15/14 into one degree of [[10edo]]. Either 8/7 or 16/15 can be used its generator. It may be described as the 10&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]].
+In addition to 2401/2400, decoid tempers out 67108864/66976875 to temper 15/14 into one degree of [[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]].
-Commas: 2401/2400, 67108864/66976875
+[[Comma list]]: 2401/2400, 67108864/66976875
-POTE generator: ~8/7 = 231.099
+[[POTE tuning|POTE generator]]: ~8/7 = 231.099
-Map: [&lt;10 0 47 36|, &lt;0 2 -3 -1|]
+[[Map]]: [&lt;10 0 47 36|, &lt;0 2 -3 -1|]
 Wedgie: &lt;&lt;20 -30 -10 -94 -72 61||
-EDOs: 10, 120, 130, 270
+{{Vals|legend=1| 10, 130, 270, 2020c, 2290c, 2560c, 2830bc, 3100bcc, 3370bcc, 3640bcc }}
-Badness: 0.0339
+[[Badness]]: 0.033902
 ==11-limit==
-Commas: 2401/2400, 5832/5825, 9801/9800
+Comma list: 2401/2400, 5832/5825, 9801/9800
 POTE generator: ~8/7 = 231.070
@@ Line 268: / Line 268: @@
 Map: [&lt;10 0 47 36 98|, &lt;0 2 -3 -1 -8|]
-EDOs: 130, 270, 670, 940, 1210
+Vals: {{Vals| 10e, 130, 270, 670, 940, 1210, 2150c }}
-Badness: 0.0187
+Badness: 0.018735
 ==13-limit==
-Commas: 676/675, 1001/1000, 1716/1715, 4225/4224
+Comma list: 676/675, 1001/1000, 1716/1715, 4225/4224
 POTE generator: ~8/7 = 231.083
@@ Line 279: / Line 279: @@
 Map: [&lt;10 0 47 36 98 37|, &lt;0 2 -3 -1 -8 0|]
-EDOs: 130, 270, 940, 1480
+Vals: {{Vals| 10e, 130, 270, 940, 1210f, 1480cf }}
-Badness: 0.0135
+Badness: 0.013475
 =Neominor=