Quintosec family: Difference between revisions

Xenllium (talk | contribs)
No edit summary
Xenwolf (talk | contribs)
Line 1: Line 1:
The '''qintosec family''' tempers out the qintosec comma, 140737488355328/140126044921875 = |47 -15 -10>.
The '''qintosec family''' tempers out the qintosec comma, 140737488355328/140126044921875 = |47 -15 -10>.


= Qintosec =
== Qintosec ==
[[Comma]]: 140737488355328/140126044921875
[[Comma]]: 140737488355328/140126044921875


Line 12: Line 12:
[[Badness]]: 0.139191
[[Badness]]: 0.139191


== 7-limit ==
=== 7-limit ===
The qintosec temperament can be described as 10&65d temperament, tempering out the [[225/224|marvel comma]], 225/224 in the 7-limit.
The qintosec temperament can be described as 10&65d temperament, tempering out the [[225/224|marvel comma]], 225/224 in the 7-limit.


Line 25: Line 25:
[[Badness]]: 0.156764
[[Badness]]: 0.156764


== 11-limit ==
=== 11-limit ===
Comma list: 225/224, 243/242, 3840/3773
Comma list: 225/224, 243/242, 3840/3773


Line 36: Line 36:
Badness: 0.077907
Badness: 0.077907


== Qinto ==
=== Qinto ===
Comma list: 225/224, 385/384, 332750/321489
Comma list: 225/224, 385/384, 332750/321489


Line 47: Line 47:
Badness: 0.127732
Badness: 0.127732


= Sengasec =
== Sengasec ==
The ''sengasec'' temperament (10&55, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the sengic comma, 686/675 in the 7-limit.
The ''sengasec'' temperament (10&55, named by [[User:Xenllium|Xenllium]]) tempers out the [[cloudy comma]], 16807/16384 and the sengic comma, 686/675 in the 7-limit.


Line 60: Line 60:
[[Badness]]: 0.156259
[[Badness]]: 0.156259


== 11-limit ==
=== 11-limit ===
Comma list: 243/242, 385/384, 686/675
Comma list: 243/242, 385/384, 686/675


Line 71: Line 71:
Badness: 0.081607
Badness: 0.081607


== 13-limit ==
=== 13-limit ===
Comma list: 105/104, 144/143, 243/242, 686/675
Comma list: 105/104, 144/143, 243/242, 686/675


Line 82: Line 82:
Badness: 0.056390
Badness: 0.056390


= Decoid =
== Decoid ==
{{See also|Breedsmic temperaments #Decoid}}
{{See also|Breedsmic temperaments #Decoid}}


Line 95: Line 95:
[[Badness]]: 0.033902
[[Badness]]: 0.033902


== 11-limit ==
=== 11-limit ===
Comma list: 2401/2400, 5632/5625, 9801/9800
Comma list: 2401/2400, 5632/5625, 9801/9800


Line 106: Line 106:
Badness: 0.018735
Badness: 0.018735


== 13-limit ==
=== 13-limit ===
Comma list: 676/675, 1001/1000, 1716/1715, 4096/4095
Comma list: 676/675, 1001/1000, 1716/1715, 4096/4095