Shoal17: Difference between revisions
m →Scala file: I don't know why I put a line break here |
|||
| (11 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
'''Shoal[17]''' is | '''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}}. | |||
<pre> | <pre> | ||
| Line 30: | Line 33: | ||
== Approximations of JI == | == Approximations of JI == | ||
These use the symmetrical mode of Shoal[17]. | |||
{| class="wikitable" | {| class="wikitable" | ||
! Steps !! [[Cents]] !! 2.3.13.23 subgroup !! Others | ! Steps !! [[Cents]] !! 2.3.13.23 subgroup !! Others | ||
| Line 40: | Line 45: | ||
|- | |- | ||
! 3 | ! 3 | ||
| 212.261 || | | 212.261 || 26/23 || 17/15 | ||
|- | |- | ||
! 4 | ! 4 | ||
| Line 46: | Line 51: | ||
|- | |- | ||
! 5 | ! 5 | ||
| 350.956 || | | 350.956 || 207/169 || 11/9 | ||
|- | |- | ||
! 6 | ! 6 | ||
| Line 67: | Line 72: | ||
|- | |- | ||
! 12 | ! 12 | ||
| 849.044 || | | 849.044 || 338/207 || 18/11 | ||
|- | |- | ||
! 13 | ! 13 | ||
| Line 73: | Line 78: | ||
|- | |- | ||
! 14 | ! 14 | ||
| 987.739 || | | 987.739 || 23/13 || 7/4 | ||
|- | |- | ||
! 15 | ! 15 | ||
| Line 123: | Line 128: | ||
Driftwood scale (''shoal[17] is the original/default tuning for this scale'') | |||
* | * 138.695 | ||
* | * 498.088 | ||
* | * 636.783 | ||
* 987.739 | * 987.739 | ||
* 1200.000 | * 1200.000 | ||
| Line 140: | Line 145: | ||
Minor pentatonic scale (''approximated from [[12edo]]'') | Minor [[pentatonic]] scale (''approximated from [[12edo]]'') | ||
* 285.827 | * 285.827 | ||
* 498.088 | * 498.088 | ||
| Line 168: | Line 173: | ||
* 775.478 | * 775.478 | ||
* 1061.305 | * 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 | * 1200.000 | ||
| Line 195: | Line 217: | ||
=== Triads === | === 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> | <br> | ||
| Line 306: | Line 330: | ||
* 1200.000 | * 1200.000 | ||
[[Category:17-tone scales]][[Category:Tempered scales]][[Category:23-limit]][[Category:Pages with Scala files]] | == 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]] | |||