User:Moremajorthanmajor/48wtn
A 48 tone well tempered nonet (48WTN) is related to well temperaments of 41edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 24 equal parts (24EDF) with sequences of twenty-four equal steps of 25 to 33.3333 cents each. This will create twenty-fourequally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.
Patent Intervals
| Target | Alternating edo and *ed(9/8) | |
|---|---|---|
| 1 | 29.2481 | 29.2683 |
| 2 | 58.49625 | 58.5366 |
| 3 | 87.7444 | 87.8049 |
| 4 | 116.9925 | 117.0732 |
| 5 | 146.2406 | 146.3415 |
| 6 | 175.48875 | 175.6098 |
| 7 | 204.7369 | 204.87805 |
| 8 | 233.985 | 234.1463 |
| 9 | 263.2331 | 263.4146 |
| 10 | 292.48125 | 292.6829 |
| 11 | 321.7293 | 321.9512 |
| 12 | 350.9775 | 351.2195 |
| 13 | 380.2256 | 380.4878 |
| 14 | 409.47375 | 409.7561 |
| 15 | 438.7219 | 439.0244 |
| 16 | 467.97 | 468.2927 |
| 17 | 497.2181 | 497.561 |
| 18 | 526.46625 | 526.8293 |
| 19 | 556.7144 | 556.0976 |
| 20 | 584.9625 | 585.36585 |
| 21 | 614.2106 | 614.63415 |
| 22 | 643.45875 | 643.9024 |
| 23 | 671.7069 | 673.1607 |
| 24 | 701.955 | 702.439 |
| 25 | 731.2518 | 731.7073 |
| 26 | 760.5485 | 760.9756 |
| 27 | 789.8453 | 790.2439 |
| 28 | 819.1421 | 819.5122 |
| 29 | 848.4388 | 848.7805 |
| 30 | 877.7356 | 878.0488 |
| 31 | 907.03235 | 907.3171 |
| 32 | 936.3291 | 936.5854 |
| 33 | 965.6259 | 965.8537 |
| 34 | 994.92265 | 995.12195 |
| 35 | 1024.2194 | 1024.3902 |
| 36 | 1053.5162 | 1053.6685 |
| 37 | 1082.8129 | 1082.9268 |
| 38 | 1112.1547 | 1112.1951 |
| 39 | 1141.4515 | 1141.4634 |
| 40 | 1170.7032 | 1170.7317 |
| 41 | 1200 | |
| 42 | 1229.2968 | 1229.13 |
| 43 | 1258.5935 | 1258.26 |
| 44 | 1287.8903 | 1287.39 |
| 45 | 1317.1871 | 1316.52 |
| 46 | 1346.4838 | 1345.65 |
| 47 | 1375.7806 | 1374.78 |
| 48 | 1405.07735 | 1403.91 |