Valentine extensions
Valentine has various competing extensions to the 13-limit.
Interval chain
In the following table, odd harmonics and subharmonics 1–21 are in bold.
| # | Cents* | Approximate ratios | |||
|---|---|---|---|---|---|
| 11-limit | 13-limit extensions | ||||
| Valentino | Lupercalia | Dwynwen | |||
| 0 | 0.0 | 1/1 | |||
| 1 | 77.9 | 21/20, 22/21, 25/24 | 26/25 | 27/26 | |
| 2 | 155.8 | 12/11, 11/10, 35/32 | 13/12 | ||
| 3 | 233.7 | 8/7 | 15/13 | ||
| 4 | 311.6 | 6/5 | 13/11 | ||
| 5 | 389.5 | 5/4 | 26/21, 33/26 | ||
| 6 | 467.4 | 21/16 | 13/10 | ||
| 7 | 545.3 | 11/8, 15/11 | 18/13 | ||
| 8 | 623.2 | 10/7 | 56/39 | 13/9 | |
| 9 | 701.1 | 3/2 | 52/35 | ||
| 10 | 779.0 | 11/7, 25/16 | 52/33 | ||
| 11 | 856.9 | 18/11 | 64/39 | 13/8 | |
| 12 | 934.8 | 12/7 | 26/15 | ||
| 13 | 1012.7 | 9/5, 25/14 | |||
| 14 | 1090.6 | 15/8 | 13/7 | ||
| 15 | 1168.5 | 55/28, 63/32, 96/49, 108/55, 125/64 |
39/20 | ||
| 16 | 46.4 | 33/32, 36/35, 50/49 | 40/39 | 27/26 | 26/25 |
| 17 | 124.3 | 15/14, 27/25 | 14/13 | 13/12 | |
| 18 | 202.2 | 9/8 | |||
| 19 | 280.1 | 33/28 | 13/11 | ||
| 20 | 358.0 | 27/22 | 16/13 | 39/32 | 26/21 |
| 21 | 435.9 | 9/7 | 13/10 | ||
| 22 | 513.8 | 27/20 | 35/26 | ||
| 23 | 591.7 | 45/32 | 39/28 | ||
| 24 | 669.6 | 72/49 | 52/35 | ||
| 25 | 747.5 | 54/35 | 20/13 | ||
| 26 | 825.4 | 45/28 | 21/13 | 13/8 | |
| 27 | 903.3 | 27/16 | 22/13 | ||
| 28 | 981.2 | 99/56 | |||
| 29 | 1059.1 | 90/49 | 24/13 | 13/7 | |
| 30 | 1137.0 | 27/14 | 25/13 | 39/20 | |
| 31 | 14.9 | 81/80, 99/98 | |||
* In 11-limit CWE tuning