User:Moremajorthanmajor/36wtn: Difference between revisions
Jump to navigation
Jump to search
m Sintel moved page 36wtn to User:Moremajorthanmajor/36wtn |
m Text replacement - "{{todo|clarify|unify precision|inline=1}}" to "" |
||
| Line 209: | Line 209: | ||
[[Category:Well tempered nonet]] | [[Category:Well tempered nonet]] | ||
Latest revision as of 09:31, 1 September 2025
A 36 tone well tempered nonet (36WTN) is related to well temperaments of 30edo and 31edo, but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate division of the just perfect fifth into 18 equal parts (18EDF) with sequences of eighteen equal steps of 33.3333 to 44.4444 cents each. This will create eighteen 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 | 38.9975 | 40 | 38.71 | |
| 2 | 77.995 | 80 | 77.419 | |
| 3 | 116.9925 | 120 | 116.129 | |
| 4 | 155.99 | 160 | 154.839 | |
| 5 | 194.9875 | 200 | 193.548 | |
| 6 | 233.985 | 240 | 232.258 | |
| 7 | 272.9825 | 280 | 270.968 | |
| 8 | 311.98 | 320 | 309.677 | |
| 9 | 350.9775 | 360 | 348.387 | |
| 10 | 389.975 | 400 | 387.097 | |
| 11 | 428.9725 | 440 | 425.8065 | |
| 12 | 467.97 | 480 | 464.516 | |
| 13 | 506.9675 | 520 | 503.226 | |
| 14 | 545.965 | 560 | 541.9355 | |
| 15 | 584.9625 | 600 | 580.645 | |
| 16 | 623.96 | 640 | 619.355 | |
| 17 | 662.9575 | 680 | 658.0645 | |
| 18 | 701.955 | 720 | 696.764 | |
| 19 | 743.45875 | 740.26615 | 760 | 735.484 |
| 20 | 784.9625 | 778.5773 | 800 | 774.1935 |
| 21 | 826.46625 | 816.8885 | 840 | 812.903 |
| 22 | 867.97 | 855.1996 | 880 | 851.613 |
| 23 | 909.47375 | 893.5108 | 920 | 890.323 |
| 24 | 950.9775 | 931.8119 | 960 | 929.032 |
| 25 | 993.48125 | 970.1331 | 1000 | 967.742 |
| 26 | 1033.985 | 1008.4492 | 1040 | 1006.452 |
| 27 | 1075.48875 | 1046.7554 | 1080 | 1045.161 |
| 28 | 1116.9925 | 1085.0665 | 1120 | 1083.871 |
| 29 | 1158.49625 | 1123.3777 | 1160 | 1122.581 |
| 30 | 1200 | 1161.68885 | 1200 | 1161.29 |
| 31 | 1241.50375 | 1200 | 1233.985 | 1200 |
| 32 | 1283.0075 | 1238.31115 | 1267.97 | 1240.782 |
| 33 | 1324.51125 | 1276.6223 | 1301.995 | 1281.564 |
| 34 | 1366.015 | 1314.9335 | 1335.94 | 1322.346 |
| 35 | 1407.51875 | 1353.2446 | 1369.925 | 1363.128 |
| 36 | 1449.0225 | 1391.5558 | 1403.91 | |