Meantone family: Difference between revisions
Cleanup for recent additions |
m Fix a link (and remove the excessive) |
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Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: 50/49, 81/80, 864/847 | |||
Mapping: [{{val| 2 1 -4 -3 8 }}, {{val| 0 2 8 8 -1 }}] | |||
Mapping generators: ~7/5, ~16/11 | Mapping generators: ~7/5, ~16/11 | ||
POTE generator: ~11/8 = 552.5303 | |||
{{Val list | Vals: {{Val list| 24d, 26, 50d }} | ||
Badness: 0.0707 | |||
==== 13-limit ==== | ==== 13-limit ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: 50/49, 78/77, 81/80, 144/143 | |||
Mapping: [{{val| 2 1 -4 -3 8 2 }}, {{val| 0 2 8 8 -1 5 }}] | |||
POTE generator: ~11/8 = 552.5324 | |||
{{Val list | Vals: {{Val list| 24d, 26, 50d }} | ||
Badness: 0.0400 | |||
==== 17-limit ==== | ==== 17-limit ==== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
Comma list: 50/49, 78/77, 81/80, 85/84, 144/143 | |||
Mapping: [{{val| 2 1 -4 -3 8 2 6 }}, {{val| 0 2 8 8 -1 5 2 }}] | |||
POTE generator: ~11/8 = 552.6558 | |||
{{Val list | Vals: {{Val list| 24d, 26 }} | ||
Badness: 0.0295 | |||
==== 19-limit ==== | ==== 19-limit ==== | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
Comma list: 50/49, 57/56, 78/77, 81/80, 85/84, 144/143 | |||
Mapping: [{{val| 2 1 -4 -3 8 2 6 2 }}, {{val| 0 2 8 8 -1 5 2 6 }}] | |||
POTE generator: ~11/8 = 552.6382 | |||
{{Val list | Vals: {{Val list| 24d, 26 }} | ||
Badness: 0.0231 | |||
== Pombe == | == Pombe == | ||
Pombe (named after the African millet beer) is a variant of [[# | Pombe (named after the African millet beer) is a variant of [[#Teff]] by Kaiveran Lugheidh that eschews the tempering of 50/49 to attain more accuracy in the 7-limit. Oddly, the 7th harmonic has a lesser generator distance than in teff (-5 vs +8), but this combined with the fact that other harmonics are in the opposite direction means that the 7-limit diamond is more complex overall. | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||