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. | ||
<pre> | <pre> | ||
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2/1 | 2/1 | ||
</pre> | </pre> | ||
== 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 || | |||
|} | |||
<br> | |||
== Subsets == | == Subsets == | ||
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=== Triads === | === Triads === | ||
Can be used for a [[polytriadic]] approach. Any triad 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. | ||
<br> | <br> | ||