Meantone family: Difference between revisions

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 === Seven-limit extensions ===
 The [[7-limit]] [[extension]]s of meantone are:
 * Septimal meantone, with normal comma list [{{Monzo| -4 4 -1 }}, [[Harrison's comma|{{Monzo| -13 10 0 -1 }}]]],
 * Flattone, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -17 9 0 1 }}],
 * Dominant, with normal list [{{Monzo| -4 4 -1 }}, [[64/63|{{Monzo| 6 -2 0 -1 }}]]],
 * Sharptone, with normal list [{{Monzo| -4 4 -1 }}, [[28/27|{{Monzo| 2 -3 0 1 }}]]],
 * Injera, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -7 8 0 -2 }}],
 * Mohajira, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -23 11 0 2 }}],
 * Godzilla, with normal list [{{Monzo| -4 4 -1 }}, [[49/48|{{Monzo| -4 -1 0 2 }}]]],
 * Mothra, with normal list [{{Monzo| -4 4 -1 }}, [[1029/1024|{{Monzo| -10 1 0 3 }}]]],
 * Squares, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -3 9 0 -4 }}], and
 * Liese, with normal list [{{Monzo| -4 4 -1 }}, {{Monzo| -9 11 0 -3 }}].
@@ Line 1,230: / Line 1,230: @@
 Badness: 0.043062
+== [[Teff]] ==
+Teff (developed by Mason Green) is to Injera what Mohajira is to Meantone; it splits the generator in half in order to accommodate higher limit intervals, creating a half-octave quarter-tone temperament.
+Subgroup: 2.3.5.7.11.13
+[[Comma list]]: 50/49, 78/77, 81/80, 144/143
+[[Mapping]]: [{{val| 2 3 4 5 7 7}}, {{val| 0 2 8 8 -1 5}}]
+Mapping generators: ~7/5, ~11/8''?''
+{{Multival|legend=1|? ? ? ? ? ?}}
+[[POTE generator]]: ~11/8 = 552.5324''?''
+[[Tuning ranges]]:
+* ???
+{{Val list|legend=1|24d, 26, 50d, 76d}}
+[[Badness]]: ?????
+==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
+[[Comma list]]: 50/49, 78/77, 81/80, 144/143, 289/288
+[[Mapping]]: [{{val| 2 3 4 5 7 7 8}}, {{val| 0 2 8 8 -1 5 2}}]
+Mapping generators: ~7/5, ~11/8''?''
+{{Multival|legend=1|? ? ? ? ? ?}}
+[[POTE generator]]: ~11/8 = 552.6558''?''
+[[Tuning ranges]]:
+* ???
+{{Val list|legend=1|24d, 26, 50d, 76dg}}
+[[Badness]]: ?????
+==== 19-limit ====
+Subgroup: 2.3.5.7.11.13.17.19
+[[Comma list]]: 50/49, 57/56 78/77, 81/80, 144/143, 289/288
+[[Mapping]]: [{{val| 2 3 4 5 7 7 8 8}}, {{val| 0 2 8 8 -1 5 2 6}}]
+Mapping generators: ~7/5, ~11/8''?''
+{{Multival|legend=1|? ? ? ? ? ?}}
+[[POTE generator]]: ~11/8 = 552.6382''?''
+[[Tuning ranges]]:
+* ???
+{{Val list|legend=1|24d, 26, 50d, 76dg}}h
+[[Badness]]: ?????
+=== Pombe ===
+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
+[[Comma list]]: 81/80, 105/104, 144/143, 245/242
+[[Mapping]]: [{{val| 2 3 4 5 7 7}}, {{val| 0 2 8 -5 -1 5}}]
+Mapping generators: ~''???'', ~11/8''?''
+{{Multival|legend=1|? ? ? ? ? ?}}
+[[POTE generator]]: ~11/8 = 552.1498''?''
+[[Tuning ranges]]:
+* ???
+{{Val list|legend=1|24, 26, 50, 76}}
+[[Badness]]: ?????
+==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
+[[Comma list]]: 81/80, 105/104, 144/143, 273/272, 288/289
+[[Mapping]]: [{{val| 2 3 4 5 7 7 8}}, {{val| 0 2 8 -5 -1 5 2}}]
+Mapping generators: ~17/12''?'', ~11/8''?''
+{{Multival|legend=1|? ? ? ? ? ?}}
+[[POTE generator]]: ~11/8 = 552.1579''?''
+[[Tuning ranges]]:
+* ???
+{{Val list|legend=1|24, 26, 50, 76g}}
+[[Badness]]: ?????
+==== 19-limit ====
+Subgroup: 2.3.5.7.11.13.17
+[[Comma list]]: 81/80, 105/104, 133/132, 144/143, 273/272, 288/289
+[[Mapping]]: [{{val| 2 3 4 5 7 7 8 8}}, {{val| 0 2 8 -5 -1 5 2 6}}]
+Mapping generators: ~17/12''?'', ~11/8''?''
+{{Multival|legend=1|? ? ? ? ? ?}}
+[[POTE generator]]: ~11/8 = 552.1196''?''
+[[Tuning ranges]]:
+* ???
+{{Val list|legend=1|24, 26, 50, 76g}}h
+[[Badness]]: ?????
 == Mohaha ==