User:Fitzgerald Lee/Superpyth Tunings: Difference between revisions

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Line 1: Line 1:
[[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.
[[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]]
|-
|-
|5/7||[[524288/453789]]||721.4||
|4/3||[[32768/27783]]||738.3||[[13edo|13]]
|-
|3/4||[[4096/3087]]||722.4||
|-
|4/5||[[65536/64827]]||723.8||
|-
|5/6||[[2097152/1361367]]||724.7||
|-
|-
|6/7||[[33554432/28588707]]||725.3||
|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
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