Canou 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]] | ||
Revision as of 06:28, 2 October 2020
This page lists scales of canou temperament, the rank-3 temperament that tempers out the canousma, 4802000/4782969 = [4 -14 3 4⟩.
Canou[9]
sLsLLsLsM
where s = 28/27, M = 10/9, L = 2187/1960~2450/2187.
Unison vectors: 15/14, 245/243, 19683/19600.
7-limit transversal: 28/27, 81/70, 6/5, 980/729, 3/2, 14/9, 243/140, 9/5, 2/1.
In 80edo (a simple, general-purpose tuning): 4, 17, 21, 34, 47, 51, 64, 68, 80.
! canou9-80.scl ! Created using Scale Workshop 1.0.4 ! Canou[9] in 80edo 9 ! 60. 255. 315. 510. 705. 765. 960. 1020. 1200.
In 410edo (an intricate, accurate tuning): 21, 87, 108, 174, 240, 261, 327, 348, 410.
! canou9-410.scl ! Created using Scale Workshop 1.0.4 ! Canou[9] in 410edo 9 ! 61.4634146341 254.634146341 316.097560976 509.268292683 702.439024390 763.902439024 957.073170732 1018.53658537 1200.
Notable modes:
- LLsLsMsLs (major-ish 4th 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]
sLssLsLssLssMs
where s = 28/27, M = 15/14, L = 175/162.
Unison vectors: 25/24, 245/243, 19683/19600.
7-limit transversal: 28/27, 2187/1960~2450/2187, 81/70, 6/5, 35/27, 980/729, 81/56, 3/2, 14/9, 1225/729, 243/140, 9/5, 27/14, 2/1.
In 80edo: 4, 13, 17, 21, 30, 34, 43, 47, 51, 60, 64, 68, 76, 80.
! canou14-80.scl ! Created using Scale Workshop 1.0.4 ! Canou[14] in 80edo 14 ! 60. 195. 255. 315. 450. 510. 645. 705. 765. 900. 960. 1020. 1140. 1200.
In 410edo: 21, 66, 87, 108, 153, 174, 219, 240, 261, 306, 327, 348, 389, 410.
! canou14-410.scl ! Created using Scale Workshop 1.0.4 ! Canou[14] in 410edo 14 ! 61.4634146341 193.170731707 254.634146341 316.097560976 447.804878049 509.268292683 640.975609756 702.439024390 763.902439024 895.609756098 957.073170732 1018.53658537 1138.53658537 1200.
Notable modes:
- 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.
! 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.
Notable modes:
- LmmLsms-LmmLsms (major-ish 5th mode)
- mLsmsLm-mLsmsLm (symmetric 7th mode)