User:Moremajorthanmajor/23wtn
A 23 tone well tempered nonet (23WTN) is related to well temperaments of 19edo and 20edo, but with a nonet rather than the 2/1 being constant. It is also the smallest wtn with both possible patent tunings well tempering an equal division of a “pure” ~20/9 to ~16/7 nonet
Patent Intervals
| Alternating edo and *ed(9/8) a | Alternating edo and *ed(9/8) b | |
|---|---|---|
| 1 | 63.1579 | 60 |
| 2 | 126.3157 | 120 |
| 3 | 189.4737 | 180 |
| 4 | 252.6316 | 240 |
| 5 | 315.7895 | 300 |
| 6 | 378.9474 | 360 |
| 7 | 442.1053 | 420 |
| 8 | 505.2632 | 480 |
| 9 | 568.42105 | 540 |
| 10 | 631.57895 | 600 |
| 11 | 694.7368 | 660 |
| 12 | 757.8947 | 720 |
| 13 | 821.0526 | 780 |
| 14 | 884.2105 | 840 |
| 15 | 947.3684 | 900 |
| 16 | 1010.5263 | 960 |
| 17 | 1073.6843 | 1020 |
| 18 | 1136.8421 | 1080 |
| 19 | 1200.000 | 1140 |
| 20 | 1250.9775 | 1200.000 |
| 21 | 1301.955 | 1267.97 |
| 22 | 1352.9325 | 1333.94 |
| 23 | 1403.91 | |