User:Fitzgerald Lee/Superpyth Tunings: Difference between revisions
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Created page with "Superpyth tunings, organised by ascending fifth size, fifth size is rounded to nearest 0.1 cents. Only edos which temper out 64/63 in their patent val are shown. {| class="wikitable" !rowspan"1"|Fraction of comma!!rowspan"1"|Eigenmonzo!!rowspan"1"|Fifth size (¢)!!rowspan"1"|Edos and contortions |- |1/7||243/224||705.8||17 |- |1/6||112/81||706.5|| |- |1/5||28/27||707.4|| |- |1/4||9/7||708.8||22, 44 |- |2/7||..." |
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[[Superpyth]] tunings, organised by ascending fifth size, | [[Superpyth]] tunings, organised by ascending fifth size, value is rounded to nearest 0.1 cents. Only edos which temper out [[64/63]] in their patent val are shown. | ||
{| class="wikitable" | {|class="wikitable" | ||
!rowspan"1"|Fraction of comma!!rowspan"1"|[[Eigenmonzo]]!!rowspan"1"|Fifth size (¢)!!rowspan"1"|[[EDO|Edo]]s and contortions | !rowspan"1"|Fraction of comma!!rowspan"1"|[[Eigenmonzo]]!!rowspan"1"|Fifth size (¢)!!rowspan"1"|[[EDO|Edo]]s and contortions | ||
|- | |||
|−15/4||[[1125899906842624/1125157864573549]]||599.7||[[2edo|2]] | |||
|- | |||
|−3/5||[[67108864/60761421]]||685.6||[[7edo|7]] | |||
|- | |||
|−1/14||[[301327047/268435456]]||700.0||[[12edo|12]] | |||
|- | |- | ||
|1/7||[[243/224]]||705.8||[[17edo|17]] | |1/7||[[243/224]]||705.8||[[17edo|17]] | ||
| Line 14: | Line 20: | ||
|- | |- | ||
|1/3||[[7/6]]||711.0||[[27edo|27]], [[54edo|54]] | |1/3||[[7/6]]||711.0||[[27edo|27]], [[54edo|54]] | ||
|- | |||
|3/8||[[686/576]]||712.2||[[59edo|59]] | |||
|- | |- | ||
|2/5||[[49/48]]||712.9||[[32edo|32]] | |2/5||[[49/48]]||712.9||[[32edo|32]] | ||
| Line 27: | Line 35: | ||
|2/3||[[294/256]]||720.1||[[5edo|5]], [[10edo|10]], [[15edo|15]], [[20edo|20]], [[25edo|25]], [[30edo|30]] | |2/3||[[294/256]]||720.1||[[5edo|5]], [[10edo|10]], [[15edo|15]], [[20edo|20]], [[25edo|25]], [[30edo|30]] | ||
|- | |- | ||
| | |4/3||[[32768/27783]]||738.3||[[13edo|13]] | ||
|- | |- | ||
| | |7/4||[[68719476736/48629390607]]||749.7||[[8edo|8]] | ||
|- | |- | ||
|18/5||[[237494511599616/188441966576527]]||800.1||[[3edo|3]] | |||
|} | |} | ||
Latest revision as of 01:53, 7 November 2025
Superpyth tunings, organised by ascending fifth size, value is rounded to nearest 0.1 cents. Only edos which temper out 64/63 in their patent val are shown.
| Fraction of comma | Eigenmonzo | Fifth size (¢) | Edos and contortions |
|---|---|---|---|
| −15/4 | 1125899906842624/1125157864573549 | 599.7 | 2 |
| −3/5 | 67108864/60761421 | 685.6 | 7 |
| −1/14 | 301327047/268435456 | 700.0 | 12 |
| 1/7 | 243/224 | 705.8 | 17 |
| 1/6 | 112/81 | 706.5 | |
| 1/5 | 28/27 | 707.4 | |
| 1/4 | 9/7 | 708.8 | 22, 44 |
| 2/7 | 54/49 | 709.7 | 49 |
| 1/3 | 7/6 | 711.0 | 27, 54 |
| 3/8 | 686/576 | 712.2 | 59 |
| 2/5 | 49/48 | 712.9 | 32 |
| 3/7 | 384/343 | 713.6 | 37 |
| 1/2 | 7/4 | 715.6 | 42 |
| 4/7 | 8192/7203 | 717.5 | |
| 3/5 | 2058/2048 | 718.3 | |
| 2/3 | 294/256 | 720.1 | 5, 10, 15, 20, 25, 30 |
| 4/3 | 32768/27783 | 738.3 | 13 |
| 7/4 | 68719476736/48629390607 | 749.7 | 8 |
| 18/5 | 237494511599616/188441966576527 | 800.1 | 3 |