Shoal17: Difference between revisions
Jump to navigation
Jump to search
m Added a subset |
m →Subsets: added polytriadicism section |
||
| Line 31: | Line 31: | ||
== Subsets == | == Subsets == | ||
=== Scales === | |||
Diffractive scale (''Shoal17 is the original/default tuning for this scale'') | Diffractive scale (''Shoal17 is the original/default tuning for this scale'') | ||
* 73.566 | * 73.566 | ||
| Line 36: | Line 37: | ||
* 636.783 | * 636.783 | ||
* 701.912 | * 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 | * 1200.000 | ||
[[Category:17-tone scales]][[Category:Tempered scales]][[Category:23-limit]][[Category:Pages with Scala files]] | [[Category:17-tone scales]][[Category:Tempered scales]][[Category:23-limit]][[Category:Pages with Scala files]] | ||
Revision as of 03:53, 23 February 2025
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