Canou scales
This page lists scales of canou temperament, the rank-3 temperament that tempers out the canousma, 4802000/4782969 = [4 -14 3 4⟩.
Canou[9]
A 9-note Fokker block for canou temperament.
sLsLLsLsM
where s = 28/27, M = 10/9, L = 2187/1960~2450/2187.
Unison vectors: {175/162, 245/243}.
7-limit transversal: 28/27, 81/70, 6/5, 980/729, 3/2, 14/9, 243/140, 9/5, 2/1.
Tunings in 80edo (a simple, distinctive tuning) and 410edo (an intricate, accurate tuning) will be presented.
In 80edo: 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: 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 a rank-2 scale without the second generator being used, documented for it has some good ratios.
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]
A 14-note Fokker block for canou temperament.
sLssLsLssLssMs
where s = 28/27, M = 15/14, L = 175/162.
Unison vectors: {25/24, 245/243}.
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]
Semicanou[14-a]
A 14-note Fokker block for canou temperament.
LsmLsmm-LsmLsmm
where s = 28/27, m = 81/77, L = 35/33.
Unison vectors: {55/54, 121/120}
11-limit transversal:
Period 0: 35/33, 11/10, 81/70~140/121, 27/22, 14/11, 162/121~121/90, 99/70~140/99;
Period 1: 3/2, 14/9, 18/11, 243/140~210/121, 9/5, 154/81, 2/1.
13-limit transversal:
Period 0: 35/33, 11/10, 81/70~140/121, 16/13, 14/11, 162/121~121/90, 99/70~140/99;
Period 1: 3/2, 14/9, 18/11, 243/140~210/121, 9/5, 91/48, 2/1.
In 198edo: 17, 27, 42, 59, 69, 84, 99, 116, 126, 141, 158, 168, 183, 198.
Semicanou[14-b]
This is the inversion of semicanou[14-a].
sLmsLmm-sLmsLmm
where s = 28/27, m = 81/77, L = 35/33.
Unison vectors: {55/54, 121/120}
11-limit transversal:
Period 0: 28/27, 11/10, 81/70~140/121, 6/5, 14/11, 162/121~121/90, 99/70~140/99;
Period 1: 22/15, 14/9, 18/11, 56/33, 9/5, 154/81, 2/1.
13-limit transversal:
Period 0: 28/27, 11/10, 81/70~140/121, 6/5, 14/11, 162/121~121/90, 99/70~140/99;
Period 1: 22/15, 14/9, 18/11, 56/33, 9/5, 91/48, 2/1.
In 198edo: 10, 27, 42, 52, 69, 84, 99, 108, 126, 141, 151, 168, 183, 198.
Canou[19]
mLmmmLmmLmmmLmmmsmm
where s = 405/392, m = 28/27, L = 25/24.
Unison vectors: 225/224, 245/243, 19683/19600.
7-limit transversal: 28/27, 175/162, 2187/1960~2450/2187, 81/70, 6/5, 5/4, 35/27, 980/729, 2187/1568~6125/4374, 81/56, 3/2, 14/9, 392/243, 1225/729, 243/140, 9/5, 729/392, 27/14, 2/1.
In 410edo: 21, 45, 66, 87, 108, 132, 153, 174, 198, 219, 240, 261, 285, 306, 327, 348, 368, 389, 410.
! canou14-410.scl ! Created using Scale Workshop 1.0.4 ! Canou[19] in 410edo 19 ! 61.4634146341 131.707317073 193.170731707 254.634146341 316.097560976 386.341463415 447.804878049 509.268292683 579.512195122 640.975609756 702.439024390 763.902439024 834.146341463 895.609756098 957.073170732 1018.53658537 1077.07317073 1138.53658537 1200.