Shoal17: Difference between revisions

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17-tone [[MOS scale]] for the [[shoal]] temperament.
'''Shoal[17]''' is a 17-tone [[MOS scale]] for the [[shoal]] temperament.


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  2/1
  2/1
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== Approximations of JI ==
{| 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 || 9/8, 26/23 || 17/15
|-
! 4
| 285.827 || 46/39 || 7/6, 13/11
|-
! 5
| 350.956 ||  || 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 || 13/8 || 18/11
|-
! 13
| 914.173 || 39/23 || 17/10, 22/13
|-
! 14
| 987.739 || 16/9, 23/13 || 7/4
|-
! 15
| 1061.305 || 24/13 || 11/6
|-
! 16
| 1126.434 || 23/12 || 21/11
|-
! 17
| 1200.000 || 2/1 ||
|}
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== Subsets ==
== Subsets ==
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=== Triads ===
=== 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.
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.
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