User:BudjarnLambeth/Sandbox2: Difference between revisions

BudjarnLambeth (talk | contribs)
BudjarnLambeth (talk | contribs)
Line 19: Line 19:
* 7lim WE (66.148)
* 7lim WE (66.148)
* 13lim WE (66.291)
* 13lim WE (66.291)
* 60zpi (67.090)
* 61zpi (66.228)
* 61zpi (66.228)
18edo's [[prime]]s 3, 5, 7 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]].
18edo's [[prime]]s 3, 5, 7 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]].
{{harmonics in equal | 18 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 42 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 47 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 65 | 12 | 1 | intervals=prime}}
{{harmonics in cet | 66.148 | intervals=prime}}
{{harmonics in cet | 66.291 | intervals=prime}}
{{harmonics in cet | 67.090 | intervals=prime}}
{{harmonics in cet | 66.228 | intervals=prime}}


25edo
25edo
Line 40: Line 31:
{{harmonics in equal | 25 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 25 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 65 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 65 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 90 | 12 | 1 | intervals=prime}
{{harmonics in equal | 90 | 12 | 1 | intervals=prime}}
{{harmonics in cet | 47.946 | intervals=prime}}
{{harmonics in cet | 47.946 | intervals=prime}}
{{harmonics in cet | 48.067 | intervals=prime}}
{{harmonics in cet | 48.067 | intervals=prime}}
Line 119: Line 110:
{{harmonics in equal | 79 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 79 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 88 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 88 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 108 | 9 | 1 | intervals=prime}
{{harmonics in equal | 108 | 9 | 1 | intervals=prime}}
{{harmonics in equal | 113 | 10 | 1 | intervals=prime}
{{harmonics in equal | 113 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 122 | 12 | 1 | intervals=prime}}
{{harmonics in equal | 122 | 12 | 1 | intervals=prime}}
{{harmonics in equal | 126 | 13 | 1 | intervals=prime}}
{{harmonics in equal | 126 | 13 | 1 | intervals=prime}}
Line 138: Line 129:
* [[149zpi]] (34.359)
* [[149zpi]] (34.359)
35edo's [[prime]]s 3, 5, 7 and 11 are all tuned flat, and it has two about equally bad mappings of 13, so 35edo can benefit from [[octave stretching]].
35edo's [[prime]]s 3, 5, 7 and 11 are all tuned flat, and it has two about equally bad mappings of 13, so 35edo can benefit from [[octave stretching]].
{{harmonics in equal | 35 | 2 | 1 | intervals=prime}
{{harmonics in equal | 35 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 81 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 81 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 90 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 90 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 98 | 7 | 1 | intervals=prime}
{{harmonics in equal | 98 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 116 | 10 | 1 | intervals=prime}
{{harmonics in equal | 116 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 121 | 11 | 1 | intervals=prime}}
{{harmonics in equal | 121 | 11 | 1 | intervals=prime}}
{{harmonics in equal | 125 | 12 | 1 | intervals=prime}}
{{harmonics in equal | 125 | 12 | 1 | intervals=prime}}
Line 189: Line 180:
{{harmonics in equal | 48 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 48 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 76 | 3 | 1 | intervals=prime}}
{{harmonics in equal | 76 | 3 | 1 | intervals=prime}}
{{harmonics in equal | 124 | 6 | 1 | intervals=prime}
{{harmonics in equal | 124 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 152 | 9 | 1 | intervals=prime}
{{harmonics in equal | 152 | 9 | 1 | intervals=prime}}
{{harmonics in equal | 159 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 159 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 166 | 11 | 1 | intervals=prime}}
{{harmonics in equal | 166 | 11 | 1 | intervals=prime}}
Line 218: Line 209:
{{harmonics in equal | 10 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 10 | 2 | 1 | intervals=prime}}
{{harmonics in equal | 23 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 23 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 26 | 6 | 1 | intervals=prime}
{{harmonics in equal | 26 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 28 | 7 | 1 | intervals=prime}
{{harmonics in equal | 28 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 32 | 8 | 1 | intervals=prime}}
{{harmonics in equal | 32 | 8 | 1 | intervals=prime}}
{{harmonics in equal | 33 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 33 | 10 | 1 | intervals=prime}}
Line 247: Line 238:
{{harmonics in equal | 28 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 28 | 6 | 1 | intervals=prime}}
{{harmonics in equal | 31 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 31 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 35 | 9 | 1 | intervals=prime}
{{harmonics in equal | 35 | 9 | 1 | intervals=prime}}
{{harmonics in equal | 37 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 37 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 38 | 10 | 1 | intervals=prime}}
{{harmonics in equal | 38 | 10 | 1 | intervals=prime}}
Line 313: Line 304:
* 2.9.5.7 WE (199.329)
* 2.9.5.7 WE (199.329)
* 12zpi (198.843)
* 12zpi (198.843)
If one wishes to use 6edo as a 2.9.5 or 2.9.5.7 [[sugroup]] tuning, then it benefits from [[octave shrinking]].
If one wishes to use 6edo as a 2.9.5 or 2.9.5.7 [[subgroup]] tuning, then it benefits from [[octave shrinking]].
{{harmonics in equal | 14 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 14 | 5 | 1 | intervals=prime}}
{{harmonics in equal | 17 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 17 | 7 | 1 | intervals=prime}}
{{harmonics in equal | 19 | 9 | 1 | intervals=prime}}
{{harmonics in equal | 19 | 9 | 1 | intervals=prime}}
{{harmonics in equal | 20 | 10 | 1 | intervals=prime}
{{harmonics in equal | 20 | 10 | 1 | intervals=prime}}
{{harmonics in cet | 199.736 | intervals=prime}}
{{harmonics in cet | 199.736 | intervals=prime}}
{{harmonics in cet | 199.329 | intervals=prime}}
{{harmonics in cet | 199.329 | intervals=prime}}
{{harmonics in cet | 198.843 | intervals=prime}}
{{harmonics in cet | 198.843 | intervals=prime}}