User:Moremajorthanmajor/50wtn
A 50 tone well tempered nonet (50WTN) is related to well temperaments of 42edo and 43edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 25 equal parts (25EDF) with sequences of twenty-five equal steps of 24 to 32 cents each. This will create twenty-five equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.
Patent Intervals
| Target a | Target b | Alternating edo and *ed(9/8) a | Alternating edo and *ed(9/8) b | |
|---|---|---|---|---|
| 1 | 28.0782 | 28.5714 | 27.907 | |
| 2 | 56.1564 | 57.1429 | 55.81395 | |
| 3 | 84.2346 | 85.7143 | 83.7209 | |
| 4 | 112.3128 | 114.2857 | 111.6279 | |
| 5 | 140.391 | 143.8571 | 139.5348 | |
| 6 | 168.4692 | 171.4286 | 167.4419 | |
| 7 | 196.5474 | 200.000 | 195.3489 | |
| 8 | 224.6256 | 228.5714 | 223.2558 | |
| 9 | 252.7038 | 257.1429 | 251.1628 | |
| 10 | 280.782 | 285.7143 | 279.0698 | |
| 11 | 308.8602 | 314.2857 | 306.9767 | |
| 12 | 336.9384 | 342.8571 | 334.8837 | |
| 13 | 365.0166 | 371.4286 | 362.7906 | |
| 14 | 393.0948 | 400.000 | 390.6977 | |
| 15 | 421.173 | 428.5714 | 418.60465 | |
| 16 | 449.2512 | 457.1429 | 446.5116 | |
| 17 | 477.3294 | 485.7143 | 474.4186 | |
| 18 | 505.4076 | 514.2857 | 502.3255 | |
| 19 | 533.4858 | 543.8571 | 530.23255 | |
| 20 | 561.564 | 571.4286 | 558.1395 | |
| 21 | 589.6422 | 600.000 | 586.0465 | |
| 22 | 617.7204 | 628.5714 | 613.9535 | |
| 23 | 645.7986 | 657.1429 | 641.8605 | |
| 24 | 673.8768 | 685.7143 | 669.76745 | |
| 25 | 701.955 | 714.2857 | 697.6745 | |
| 26 | 731.2518 | 729.6242 | 742.8571 | 725.5814 |
| 27 | 760.5485 | 757.2933 | 771.4286 | 753.4884 |
| 28 | 789.8453 | 784.9625 | 800.000 | 781.39535 |
| 29 | 819.1421 | 812.6317 | 828.5714 | 809.3023 |
| 30 | 848.4388 | 840.3008 | 857.1429 | 837.2094 |
| 31 | 877.7356 | 867.97 | 885.7143 | 865.1163 |
| 32 | 907.03235 | 895.6392 | 914.2857 | 893.0233 |
| 33 | 936.3291 | 923.3083 | 942.8571 | 920.9302 |
| 34 | 965.6259 | 950.9775 | 971.4286 | 948.8372 |
| 35 | 994.92265 | 978.6467 | 1000.000 | 976.7442 |
| 36 | 1024.2194 | 1006.3158 | 1028.5714 | 1004.6511 |
| 37 | 1053.5162 | 1033.985 | 1057.1429 | 1032.5581 |
| 38 | 1082.8129 | 1061.6542 | 1085.7143 | 1060.4659 |
| 39 | 1112.1547 | 1089.3233 | 1114.2857 | 1088.3721 |
| 40 | 1141.4515 | 1116.9925 | 1142.8571 | 1116.2791 |
| 41 | 1170.7032 | 1144.6617 | 1171.4286 | 1144.18605 |
| 42 | 1200 | 1172.3308 | 1200 | 1172.093 |
| 43 | 1229.2968 | 1200 | 1225.48875 | 1200 |
| 44 | 1258.5935 | 1227.6692 | 1250.9775 | 1229.13 |
| 45 | 1287.8903 | 1255.3383 | 1276.45625 | 1258.26 |
| 46 | 1317.1871 | 1283.0075 | 1301.955 | 1287.39 |
| 47 | 1346.4838 | 1310.6767 | 1327.43375 | 1316.52 |
| 48 | 1375.7806 | 1338.3458 | 1352.9325 | 1345.65 |
| 49 | 1405.07735 | 1366.015 | 1378.42125 | 1374.78 |
| 50 | 1434.3741 | 1393.6842 | 1403.91 | |