Cathartic scales: Difference between revisions
Created page with "This page lists scales of canou temperament, the rank-3 temperament that tempers out the canousma, 4802000/4782969 = {{monzo|4 -14 3 4}}. == Canou[9] ==..." |
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* LLsLsMsLs (major-ish 4th mode) | * LLsLsMsLs (major-ish 4th mode) | ||
* LsLsMsLsL (symmetric 5th mode) | * LsLsMsLsL (symmetric 5th mode) | ||
== Semicanou[10] == | |||
This is rank-2; the second generator is not used. Worth documenting anyway. | |||
LsLss-LsLss | |||
where s = 81/77, L = 11/10. | |||
11-limit transversal: | |||
Period 0: 11/10, 81/70~140/121, 14/11, 162/121~121/90, 99/70~140/99; | |||
Period 1: 14/9, 18/11, 9/5, 154/81, 2/1. | |||
== Canou[14] == | == Canou[14] == | ||
| Line 118: | Line 131: | ||
* LsLssLssMssLss (major-ish 5th mode) | * LsLssLssMssLss (major-ish 5th mode) | ||
== Semicanou[14] == | |||
LsmsLmm-LsmsLmm | |||
where s = 28/27, m = 81/77, L = 35/33. | |||
11-limit transversal: | |||
Period 0: 35/33, 11/10, 81/70~140/121, 6/5, 14/11, 162/121~121/90, 99/70~140/99; | |||
Period 1: 3/2, 14/9, 56/33, 243/140~210/121, 9/5, 154/81, 2/1. | |||
13-limit transversal: | |||
Period 0: 35/33, 11/10, 81/70~140/121, 6/5, 14/11, 162/121~121/90, 99/70~140/99; | |||
Period 1: 3/2, 14/9, 56/33, 243/140~210/121, 9/5, 91/48, 2/1. | |||
In 198edo: 17, 27, 42, 52, 69, 84, 99, 116, 126, 141, 151, 168, 183, 198. | |||
<pre> | |||
! semicanou14-198.scl | |||
! Created using Scale Workshop 1.0.4 | |||
! | |||
Semicanou[14] in 198edo | |||
14 | |||
! | |||
103.030303030 | |||
163.636363636 | |||
254.545454545 | |||
315.151515152 | |||
418.181818182 | |||
509.090909091 | |||
600. | |||
703.030303030 | |||
763.636363636 | |||
854.545454545 | |||
915.151515152 | |||
1018.181818182 | |||
1109.090909091 | |||
1200. | |||
</pre> | |||
Notable modes: | |||
* LmmLsms-LmmLsms (major-ish 5th mode) | |||
* mLsmsLm-mLsmsLm (symmetric 7th mode) | |||
[[Category:Scale]] | [[Category:Scale]] | ||
[[Category:Canou]] | [[Category:Canou]] | ||