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]

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)

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)