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Created page with "<pre> ! 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..."
 
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'''Shoal[17]''' is the 17-tone [[MOS scale]], [[11L 6s]], for the [[shoal]] temperament, which serves as an extremely accurate 2.3.13.23 [[subgroup]] detemper of [[17edo]].
== Scala file ==
This uses the symmetrical (LsLLsLLsLsLLsLLsL) mode of Shoal[17] with the [[CTE]] generator tuning of 212.261{{c}}.
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[[Category:17-tone scales]][[Category:Tempered scales]][[Category:23-limit]][[Category:Pages with Scala files]]
== Approximations of JI ==
These use the symmetrical mode of Shoal[17].
 
{| class="wikitable"
! Steps !! [[Cents]] !! 2.3.13.23 subgroup !! Others
|-
! 1
| 73.566 || 24/23 || 25/24, 23/22
|-
! 2
| 138.695 || 13/12 ||
|-
! 3
| 212.261 || 26/23 || 17/15
|-
! 4
| 285.827 || 46/39 || 7/6, 13/11
|-
! 5
| 350.956 || 207/169 || 11/9
|-
! 6
| 424.522 || 23/18 || 9/7
|-
! 7
| 498.088 || 4/3 ||
|-
! 8
| 563.217 || 18/13 || 11/8
|-
! 9
| 636.783 || 13/9 ||
|-
! 10
| 701.912 || 3/2 ||
|-
! 11
| 775.478 || 36/23 || 11/7, 25/16
|-
! 12
| 849.044 || 338/207 || 18/11
|-
! 13
| 914.173 || 39/23 || 17/10, 22/13
|-
! 14
| 987.739 || 23/13 || 7/4
|-
! 15
| 1061.305 || 24/13 || 11/6
|-
! 16
| 1126.434 || 23/12 || 21/11
|-
! 17
| 1200.000 || 2/1 ||
|}
<br>
 
== Subsets ==
 
=== Scales ===
==== Up to 10 tones/octave ====
Algal bloom scale (''shoal[17] is the original/default tuning for this scale'')
* 73.566
* 350.956
* 498.088
* 701.912
* 987.739
* 1200.000
 
 
[[Antipental blues]] scale (''approximated from [[dwarf17marv]]'')
* 285.827
* 498.088
* 563.217
* 701.912
* 987.739
* 1200.000
 
 
Diffractive scale (''shoal[17] is the original/default tuning for this scale'')
* 73.566
* 285.827
* 636.783
* 701.912
* 1200.000
 
 
Diffractive [[tetrad]] (''shoal[17] is the original/default tuning for this scale'')
* 285.827
* 636.783
* 701.912
* 1200.000
 
 
Driftwood scale (''shoal[17] is the original/default tuning for this scale'')
* 138.695
* 498.088
* 636.783
* 987.739
* 1200.000
 
 
Minor [[hexatonic]] scale (''approximated from [[12edo]]'')
* 212.261
* 285.827
* 498.088
* 701.912
* 987.739
* 1200.000
 
 
Minor [[pentatonic]] scale (''approximated from [[12edo]]'')
* 285.827
* 498.088
* 701.912
* 987.739
* 1200.000
 
 
Quasi-otonal [[pentad]] (''approximated from [[8afdo]]'')
* 424.522
* 563.217
* 701.912
* 987.739
* 1200.000
 
 
Refractive scale (''shoal[17] is the original/default tuning for this scale'')
* 285.827
* 701.912
* 775.478
* 1061.305
* 1200.000
 
 
Refractive tetrad (''shoal[17] is the original/default tuning for this scale'')
* 701.912
* 775.478
* 1061.305
* 1200.000
 
 
Roughened blues dorian pentatonic scale (''approximated from [[compton]] in [[96edo]]'')
* 285.827
* 701.912
* 914.173
* 987.739
* 1200.000
 
 
Sharpened blues dorian hexatonic scale (''approximated from [[compton]] in [[96edo]]'')
* 285.827
* 498.088
* 701.912
* 914.173
* 987.739
* 1200.000
 
 
Shoal17 over-9 tetrad (''shoal[17] is the original/default tuning for this scale'')
* 498.088
* 636.783
* 987.739
* 1200.000
<br>
 
==== Over 10 tones/octave ====
Shoal quasi-chromatic (''approximated from [[12edo]]; has 12 tones/octave so it maps nicely onto a [[:Category:Piano|piano]] keyboard'')
* 73.566
* 212.261
* 285.827
* 424.522
* 498.088
* 563.217
* 701.912
* 775.478
* 914.173
* 987.739
* 1126.434
* 1200.000
<br>
 
=== Triads ===
These can be used for a [[polytriadic]] approach. Any triad from ''shoal[17]'' 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.
 
These use the symmetrical mode of Shoal[17].
<br>
 
 
24/23-3/2-2/1 triad
* 73.566
* 701.912
* 1200.000
 
 
13/12-3/2-2/1 triad
* 138.695
* 701.912
* 1200.000
 
 
13/12-4/3-2/1 triad
* 138.695
* 498.088
* 1200.000
 
 
9/8 (26/23)-3/2-2/1 triad
* 212.261
* 701.912
* 1200.000
 
 
9/8 (26/23)-4/3-2/1 triad
* 212.261
* 498.088
* 1200.000
 
 
46/39-3/2-2/1 triad
* 285.827
* 701.912
* 1200.000
 
 
23/18-3/2-2/1 triad
* 424.522
* 701.912
* 1200.000
 
 
4/3-3/2-2/1 triad
* 498.088
* 701.912
* 1200.000
 
 
18/13-3/2-2/1 triad
* 563.217
* 701.912
* 1200.000
 
 
4/3-13/9-2/1 triad
* 498.088
* 636.783
* 1200.000
 
 
4/3-36/23-2/1 triad
* 498.088
* 775.478
* 1200.000
 
 
3/2-36/23-2/1 triad
* 701.912
* 775.478
* 1200.000
 
 
3/2-13/8-2/1 triad
* 701.912
* 849.044
* 1200.000
 
 
4/3-13/8-2/1 triad
* 498.088
* 849.044
* 1200.000
 
 
3/2-39/23-2/1 triad
* 701.912
* 914.173
* 1200.000
 
 
3/2-16/9 (23/13)-2/1 triad
* 701.912
* 987.739
* 1200.000
 
 
3/2-24/13-2/1 triad
* 701.912
* 1061.305
* 1200.000
 
 
3/2-23/12-2/1 triad
* 701.912
* 1126.434
* 1200.000
 
== Music ==
* [https://www.youtube.com/watch?v=bwGjN56iMM0 ''Moody Improvisation in the Shoal Temperament''] - [[Budjarn Lambeth]] (2025)
 
[[Category:17-tone scales]][[Category:Tempered scales]]
[[Category:Pages with mostly numerical content]][[Category:23-limit]][[Category:Pages with Scala files]][[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/Shoal17"