User:Moremajorthanmajor/12wtn: Difference between revisions
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'''12WTN''' is optimally the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents in its patent tunings. It is also the eargst wtn with a patent | '''12WTN''' is optimally the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents in its patent tunings. It is also the eargst wtn with a patent tuning which alternates an [[EDO|edo]] and [[9/8]]. | ||
== Patent Intervals == | == Patent Intervals == | ||
Revision as of 05:05, 2 June 2021
12WTN is optimally the equal division of the just perfect fifth into six parts of 116.9925 cents each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents in its patent tunings. It is also the eargst wtn with a patent tuning which alternates an edo and 9/8.
Patent Intervals
| Target a | Target b | Alternating edo and *ed(9/8) a | Alternating edo and *ed(9/8) b | |
|---|---|---|---|---|
| 1 | 116.9925 | 120 | 109.091 | |
| 2 | 233.985 | 240 | 218.182 | |
| 3 | 350.9775 | 360 | 327.273 | |
| 4 | 467.97 | 480 | 436.364 | |
| 5 | 584.9625 | 600 | 545.4545 | |
| 6 | 701.955 | 720 | 654.5455 | |
| 7 | 826.466 | 801.564 | 840 | 763.636 |
| 8 | 950.9775 | 901.173 | 960 | 872.727 |
| 9 | 1075.489 | 1000.782 | 1080 | 981.818 |
| 10 | 1200 | 1101.391 | 1200 | 1090.909 |
| 11 | 1324.511 | 1200 | 1301.955 | 1200 |
| 12 | 1449.0225 | 1299.609 | 1403.91 | |