Shoal17

17-tone MOS scale for the shoal temperament.

! shoal17.scl
! Created using Scale Workshop 3.1.0
!
! https://scaleworkshop.plainsound.org/scale/i2oX3QRN_
!
Shoal17
 17
!
 73.566
 138.695
 212.261
 285.827
 350.956
 424.522
 498.088
 563.217
 636.783
 701.912
 775.478
 849.044
 914.173
 987.739
 1061.305
 1126.434
 2/1

Subsets

Scales

Diffractive scale (Shoal17 is the original/default tuning for this scale)

• 73.566
• 285.827
• 636.783
• 701.912
• 1200.000

Triads

Can be used for a polytriadic approach. Any triad from shoal17 can be used, so there are a huge number of possibilities, many more than can be listed here. These are just a small sampling of examples to start from.

2.3.13.23 subgroup

(Conforms to the subgroup of the shoal temperament.)

13/12-4/3-2/1 triad

• 138.695
• 498.088
• 1200.000

9/8-3/2-2/1 triad

• 212.261
• 701.912
• 1200.000

4/3-3/2-2/1 triad

• 498.088
• 701.912
• 1200.000

3/2-13/8-2/1 triad

• 701.912
• 849.044
• 1200.000

4/3-23/12-2/1 triad

• 498.088
• 1126.434
• 1200.000

Otonal (over-2)

See Otonal and Primodality.

9/8-3/2-2/1 triad

• 212.261
• 701.912
• 1200.000

11/8-3/2-2/1 triad

• 563.217
• 701.912
• 1200.000

3/2-25/16-2/1 triad

• 701.912
• 775.478
• 1200.000

3/2-13/8-2/1 triad

• 701.912
• 849.044
• 1200.000

3/2-7/4-2/1 triad

• 701.912
• 987.739
• 1200.000

Over-3

See Primodality.

13/12-4/3-2/1 triad

• 138.695
• 498.088
• 1200.000

7/6-4/3-2/1 triad

• 285.827
• 498.088
• 1200.000

4/3-5/3-2/1 triad

• 498.088
• 914.173
• 1200.000

4/3-11/6-2/1 triad

• 498.088
• 1061.305
• 1200.000

4/3-23/12-2/1 triad

• 498.088
• 1126.434
• 1200.000