14edo: Difference between revisions
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! Approximate<br>Ratios 1 <ref>based on treating 14edo as a 2.7/5.9/5.11/5.17/5.19/5 [[subgroup]]; other approaches are possible.</ref> | ! Approximate<br>Ratios 1 <ref>based on treating 14edo as a 2.7/5.9/5.11/5.17/5.19/5 [[subgroup]]; other approaches are possible.</ref> | ||
! Approximate<br>Ratios 2 <ref>based on treating 14edo as an 11-limit temperament of {{val| 14 22 32 39 48}} (14c)</ref> | ! Approximate<br>Ratios 2 <ref>based on treating 14edo as an 11-limit temperament of {{val| 14 22 32 39 48}} (14c)</ref> | ||
!Approximate | |||
Ratios 3 <ref>simplest 15-odd-limit intervals by direct mapping</ref> | |||
! colspan="3" | [[Ups and Downs Notation]] | ! colspan="3" | [[Ups and Downs Notation]] | ||
! Interval Type | ! Interval Type | ||
| Line 33: | Line 35: | ||
| 1/1 | | 1/1 | ||
| 1/1 | | 1/1 | ||
|1/1 | |||
| unison | | unison | ||
| 1 | | 1 | ||
| Line 43: | Line 46: | ||
| 20/19, 19/18, 18/17 | | 20/19, 19/18, 18/17 | ||
| 28/27, 22/21, 21/20 | | 28/27, 22/21, 21/20 | ||
| | |||
| up-unison,<br>down-2nd | | up-unison,<br>down-2nd | ||
| ^1, v2 | | ^1, v2 | ||
| Line 53: | Line 57: | ||
| 11/10, 10/9, 19/17 | | 11/10, 10/9, 19/17 | ||
| 12/11, 11/10, 10/9, 9/8 | | 12/11, 11/10, 10/9, 9/8 | ||
|11/10, 10/9 | |||
| 2nd | | 2nd | ||
| 2 | | 2 | ||
| Line 63: | Line 68: | ||
| 22/19, 20/17 | | 22/19, 20/17 | ||
| 8/7, 7/6 | | 8/7, 7/6 | ||
|15/13, 7/6 | |||
| up-2nd,<br>down-3rd | | up-2nd,<br>down-3rd | ||
| ^2, v3 | | ^2, v3 | ||
| Line 73: | Line 79: | ||
| 11/9, 17/14 | | 11/9, 17/14 | ||
| 6/5, 11/9, 5/4 | | 6/5, 11/9, 5/4 | ||
|11/9 | |||
| 3rd | | 3rd | ||
| 3 | | 3 | ||
| Line 83: | Line 90: | ||
| 9/7, 14/11, 22/17 | | 9/7, 14/11, 22/17 | ||
| 14/11, 9/7 | | 14/11, 9/7 | ||
|14/11, 9/7 | |||
| up-3rd,<br>down-4th | | up-3rd,<br>down-4th | ||
| ^3, v4 | | ^3, v4 | ||
| Line 93: | Line 101: | ||
| 19/14 | | 19/14 | ||
| 4/3, 15/11, 11/8 | | 4/3, 15/11, 11/8 | ||
|4/3 | |||
| 4th | | 4th | ||
| 4 | | 4 | ||
| Line 103: | Line 112: | ||
| 7/5, 10/7 | | 7/5, 10/7 | ||
| 7/5, 10/7 | | 7/5, 10/7 | ||
|7/5, 10/7 | |||
| up-4th,<br>down-5th | | up-4th,<br>down-5th | ||
| ^4, v5 | | ^4, v5 | ||
| Line 113: | Line 123: | ||
| 28/19 | | 28/19 | ||
| 16/11, 22/15, 3/2 | | 16/11, 22/15, 3/2 | ||
|3/2 | |||
| 5th | | 5th | ||
| 5 | | 5 | ||
| Line 123: | Line 134: | ||
| 14/9, 11/7, 17/11 | | 14/9, 11/7, 17/11 | ||
| 14/9, 11/7 | | 14/9, 11/7 | ||
|14/9, 11/7 | |||
| up-5th,<br>down-6th | | up-5th,<br>down-6th | ||
| ^5, v6 | | ^5, v6 | ||
| Line 133: | Line 145: | ||
| 18/11 | | 18/11 | ||
| 8/5, 18/11, 5/3 | | 8/5, 18/11, 5/3 | ||
|18/11 | |||
| 6th | | 6th | ||
| 6 | | 6 | ||
| Line 143: | Line 156: | ||
| 19/11, 17/10 | | 19/11, 17/10 | ||
| 12/7, 7/4 | | 12/7, 7/4 | ||
|12/7, 26/15 | |||
| up-6th,<br>down-7th | | up-6th,<br>down-7th | ||
| ^6, v7 | | ^6, v7 | ||
| Line 153: | Line 167: | ||
| 20/11, 9/5, 34/19 | | 20/11, 9/5, 34/19 | ||
| 16/9, 9/5, 20/11, 11/6 | | 16/9, 9/5, 20/11, 11/6 | ||
|8/5, 20/11 | |||
| 7th | | 7th | ||
| 7 | | 7 | ||
| Line 163: | Line 178: | ||
| 19/10, 36/19, 17/9 | | 19/10, 36/19, 17/9 | ||
| 40/21, 21/11, 27/14 | | 40/21, 21/11, 27/14 | ||
| | |||
| up-7th,<br />down-8ve | | up-7th,<br />down-8ve | ||
| ^7, v8 | | ^7, v8 | ||
| Line 173: | Line 189: | ||
| 2/1 | | 2/1 | ||
| 2/1 | | 2/1 | ||
|2/1 | |||
| 8ve | | 8ve | ||
| 8 | | 8 | ||