Shoal17: Difference between revisions

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m Added a subset
BudjarnLambeth (talk | contribs)
m Subsets: added polytriadicism section
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== 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]]