Leapday: Difference between revisions
Rework as a no-19 23-limit temp |
→Interval chain: +17-limit + 23 intervals |
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| Line 10: | Line 10: | ||
== Interval chain == | == Interval chain == | ||
In the following table, odd harmonics | In the following table, odd harmonics 1–23 are in '''bold'''. | ||
{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
! # | ! rowspan="2" | # | ||
! Cents* | ! rowspan="2" | Cents* | ||
! Approximate | ! colspan="2" | Approximate ratios | ||
|- | |||
! 13-limit | |||
! 17-limit add-23 extension | |||
|- | |- | ||
| 0 | | 0 | ||
| 0.0 | | 0.0 | ||
| '''1/1''' | | '''1/1''' | ||
| | |||
|- | |- | ||
| 1 | | 1 | ||
| 704.3 | | 704.3 | ||
| '''3/2''' | | '''3/2''' | ||
| | |||
|- | |- | ||
| 2 | | 2 | ||
| 208.6 | | 208.6 | ||
| '''9/8''' | | '''9/8''' | ||
| 17/15, 26/23 | |||
|- | |- | ||
| 3 | | 3 | ||
| 912.9 | | 912.9 | ||
| 22/13, 27/16 | | 22/13, 27/16 | ||
| 17/10 | |||
|- | |- | ||
| 4 | | 4 | ||
| 417.2 | | 417.2 | ||
| 14/11 | | 14/11 | ||
| 23/18 | |||
|- | |- | ||
| 5 | | 5 | ||
| 1121.5 | | 1121.5 | ||
| 21/11, 40/21 | | 21/11, 40/21 | ||
| 23/12, 44/23 | |||
|- | |- | ||
| 6 | | 6 | ||
| 625.8 | | 625.8 | ||
| 10/7, 13/9 | | 10/7, 13/9 | ||
| '''23/16''' | |||
|- | |- | ||
| 7 | | 7 | ||
| 130.0 | | 130.0 | ||
| 13/12, 14/13, 15/14 | | 13/12, 14/13, 15/14 | ||
| | |||
|- | |- | ||
| 8 | | 8 | ||
| 834.3 | | 834.3 | ||
| '''13/8''', 21/13 | | '''13/8''', 21/13 | ||
| 34/21 | |||
|- | |- | ||
| 9 | | 9 | ||
| 338.6 | | 338.6 | ||
| 11/9, 39/32, 40/33 | | 11/9, 39/32, 40/33 | ||
| 17/14, 28/23 | |||
|- | |- | ||
| 10 | | 10 | ||
| 1042.9 | | 1042.9 | ||
| 11/6, 20/11 | | 11/6, 20/11 | ||
| 42/23 | |||
|- | |- | ||
| 11 | | 11 | ||
| 547.2 | | 547.2 | ||
| '''11/8''', 15/11 | | '''11/8''', 15/11 | ||
| | |||
|- | |- | ||
| 12 | | 12 | ||
| 51.5 | | 51.5 | ||
| 28/27, 33/32, 40/39, 45/44 | | 28/27, 33/32, 40/39, 45/44 | ||
| 34/33, 35/34 | |||
|- | |- | ||
| 13 | | 13 | ||
| 755.8 | | 755.8 | ||
| 14/9, 20/13 | | 14/9, 20/13 | ||
| 17/11 | |||
|- | |- | ||
| 14 | | 14 | ||
| 260.1 | | 260.1 | ||
| 7/6, 15/13 | | 7/6, 15/13 | ||
| | |||
|- | |- | ||
| 15 | | 15 | ||
| 964.4 | | 964.4 | ||
| '''7/4''' | | '''7/4''' | ||
| 40/23 | |||
|- | |- | ||
| 16 | | 16 | ||
| 468.7 | | 468.7 | ||
| '''21/16''' | | '''21/16''' | ||
| 17/13, 30/23 | |||
|- | |- | ||
| 17 | | 17 | ||
| 1173.0 | | 1173.0 | ||
| 63/32, 160/81 | | 63/32, 160/81 | ||
| 45/23, 51/26 | |||
|- | |- | ||
| 18 | | 18 | ||
| 677.3 | | 677.3 | ||
| 40/27 | | 40/27 | ||
| 34/23 | |||
|- | |- | ||
| 19 | | 19 | ||
| 181.6 | | 181.6 | ||
| 10/9 | | 10/9 | ||
| | |||
|- | |- | ||
| 20 | | 20 | ||
| 885.8 | | 885.8 | ||
| 5/3 | | 5/3 | ||
| | |||
|- | |- | ||
| 21 | | 21 | ||
| 390.1 | | 390.1 | ||
| '''5/4''' | | '''5/4''' | ||
| | |||
|- | |- | ||
| 22 | | 22 | ||
| 1094.4 | | 1094.4 | ||
| '''15/8''' | | '''15/8''' | ||
| 17/9 | |||
|- | |- | ||
| 23 | | 23 | ||
| 598.7 | | 598.7 | ||
| 45/32 | | 45/32 | ||
| 17/12 | |||
|} | |} | ||
<nowiki />* In 13-limit CTE tuning | <nowiki />* In 13-limit CTE tuning | ||