User:Moremajorthanmajor/38wtn
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A 38 tone well tempered nonet (38WTN) is related to well temperaments of 32edo and 33edo, but with a nonet rather than the 2/1 being constant. Its patent tunings alternate division of the just perfect fifth into 19 equal parts (19EDF) with sequences of nineteen equal steps of 31.579 to 42.105cents each. This will create nineteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.
Optimal Intervals
| Target a | Target b | |
|---|---|---|
| 1 | 36.945 | |
| 2 | 73.89 | |
| 3 | 110.835 | |
| 4 | 147.78 | |
| 5 | 184.725 | |
| 6 | 221.67 | |
| 7 | 258.615 | |
| 8 | 295.56 | |
| 9 | 332.505 | |
| 10 | 369.45 | |
| 11 | 406.395 | |
| 12 | 443.34 | |
| 13 | 480.285 | |
| 14 | 517.23 | |
| 15 | 554.175 | |
| 16 | 591.12 | |
| 17 | 628.065 | |
| 18 | 665.01 | |
| 19 | 701.955 | |
| 20 | 740.266 | 733.53 |
| 21 | 778.577 | 773.104 |
| 22 | 816.8885 | 808.679 |
| 23 | 855.2 | 844.2535 |
| 24 | 893.511 | 879.828 |
| 25 | 931.812 | 915.403. |
| 26 | 970.133 | 950.9775 |
| 27 | 1008.449 | 986.552 |
| 28 | 1046.755 | 1022.127 |
| 29 | 1085.0665 | 1057.701 |
| 30 | 1123.378 | 1093.276 |
| 31 | 1161.689 | 1128.851 |
| 32 | 1200 | 1164.425 |
| 33 | 1238.311 | 1200 |
| 34 | 1276.622 | 1235.575 |
| 35 | 1314.9335 | 1271.149 |
| 36 | 1353.245 | 1036.724 |
| 37 | 1391.556 | 1342.2985 |
| 38 | 1429.877 | 1377.873 |