Semaphoresmic clan: Difference between revisions

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 The second comma of the comma list defines which 7-limit family member we are looking at.
-Godzilla adds [[81/80]]. Immunity adds [[2240/2187]]. Superpelog adds [[135/128]]. Beep adds [[21/20]]. Baba adds [[16/15]]. These all use the same nominal generator as semaphore, though some of them are of very low accuracy.
+Godzilla adds [[81/80]]. Immunity adds [[2240/2187]]. Helayo adds [[3645/3584]]. Superpelog adds [[135/128]]. Beep adds [[21/20]]. Baba adds [[16/15]]. These all use the same nominal generator as semaphore, though some of them are of very low accuracy.
-Decimal adds [[25/24]]. Anguirus adds [[2048/2025]]. Those split the octave in two. Negri adds [[225/224]], splitting the hemifourth in two. Triforce adds [[128/125]], splitting the octave in three. Keemun adds [[126/125]], splitting the hemitwelfth in three. Nautilus adds [[250/243]], splitting the hemifourth in three. Nuke is like nautilus, but adds 3584/3375 instead. Hemidim adds [[648/625]] with a 1/4-octave period. Blacksmith adds [[28/27]], splitting the octave in five. Spell adds [[3125/3072]], splitting the hemitwelfth in five. Hemiripple adds 6561/6250, splitting the hemifourth in five. Finally, mabila adds 28672/28125 and splits an interval of two octaves plus a hemifourth in five.
+Decimal adds [[25/24]]. Anguirus adds [[2048/2025]]. Those split the octave in two. Negri adds [[225/224]], splitting the hemifourth in two. Triforce adds [[128/125]], splitting the octave in three. Keemun adds [[126/125]], splitting the hemitwelfth in three. Nautilus adds [[250/243]], splitting the hemifourth in three. Nuke is like nautilus, but adds 3584/3375 instead. Hemidim adds [[648/625]] with a 1/4-octave period. Blacksmith adds [[28/27]], splitting the octave in five. Spell adds [[3125/3072]], splitting the hemitwelfth in five. Hemiripple adds 6561/6250, splitting the hemifourth in five. Finally, semabila adds 28672/28125 and splits an interval of two octaves plus a hemifourth in five.
 Discussed elsewhere are
@@ Line 42: / Line 42: @@
 * [[Blacksmith]] (+28/27) → [[Limmic temperaments #Blacksmith|Limmic temperaments]]
 * ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell|Hemimean clan]]
+* ''[[Hemiripple]]'' (+6561/6250) → [[Ripple family #Hemiripple|Ripple family]]
+* ''[[Semabila]]'' (+28672/28125) → [[Mabila family #Mabila|Mabila family]]
-Considered below are godzilla, superpelog, negri, nuke, mabila, and hemiripple.
+Considered below are godzilla, helayo, superpelog, baba, negri, and nuke.
 == Godzilla ==
@@ Line 558: / Line 560: @@
 Badness: 0.048553
-== Semabila ==
-{{See also| Mabila family #Semabila }}
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 49/48, 28672/28125
-[[Mapping]]: {{mapping| 1 6 1 5 | 0 -10 3 -5 }}
-{{Multival|legend=1| 10 -3 5 -28 -20 20 }}
-[[Optimal tuning]]s:
-* POTE: ~2 = 1\1, ~75/56 = 529.667
-{{Optimal ET sequence|legend=1| 9, 25, 34 }}
-[[Badness]]: 0.133638
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 49/48, 56/55, 1350/1331
-Mapping: {{mapping| 1 6 1 5 7 | 0 -10 3 -5 -8 }}
-Optimal tunings:
-* POTE: ~2 = 1\1, ~15/11 = 529.729
-{{Optimal ET sequence|legend=1| 9, 25e, 34 }}
-Badness: 0.061501
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 49/48, 56/55, 91/90, 847/845
-Mapping: {{mapping| 1 6 1 5 7 9 | 0 -10 3 -5 -8 -12 }}
-Optimal tunings:
-* POTE: ~2 = 1\1, ~15/11 = 529.763
-{{Optimal ET sequence|legend=1| 9, 25e, 34 }}
-Badness: 0.037270
-=== 17-limit ===
-Subgroup: 2.3.5.7.11.13.17
-Comma list: 49/48, 56/55, 91/90, 154/153, 375/374
-Mapping: {{mapping| 1 6 1 5 7 9 1 | 0 -10 3 -5 -8 -12 7 }}
-Optimal tunings:
-* POTE: ~2 = 1\1, ~15/11 = 529.695
-{{Optimal ET sequence|legend=1| 9, 25e, 34 }}
-Badness: 0.031888
-=== 19-limit ===
-Subgroup: 2.3.5.7.11.13.17.19
-Comma list: 49/48, 56/55, 76/75, 91/90, 154/153, 190/187
-Mapping: {{mapping| 1 6 1 5 7 9 1 6 | 0 -10 3 -5 -8 -12 7 -4 }}
-Optimal tunings:
-* POTE: ~2 = 1\1, ~15/11 = 529.736
-{{Optimal ET sequence|legend=1| 9, 25e, 34 }}
-Badness: 0.026981
-== Hemiripple ==
-{{See also| Ripple family #Hemiripple }}
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 49/48, 6561/6250
-{{Mapping|legend=1| 1 2 3 3 | 0 -10 -16 -5 }}
-{{Multival|legend=1| 10 16 5 2 -20 -33 }}
-[[Optimal tuning]]s:
-* [[POTE]]: ~2 = 1\1, ~36/35 = 50.826
-{{Optimal ET sequence|legend=1| 23d, 24, 47d, 71bdd }}
-[[Badness]]: 0.175113
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 49/48, 121/120, 567/550
-Mapping: {{mapping| 1 2 3 3 4 | 0 -10 -16 -5 -13 }}
-Optimal tunings:
-* POTE: ~2 = 1\1, ~36/35 = 50.826
-{{Optimal ET sequence|legend=1| 23de, 24, 47de, 71bdde }}
-Badness: 0.066834
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 49/48, 66/65, 121/120, 351/350
-Mapping: {{mapping| 1 2 3 3 4 4 | 0 -10 -16 -5 -13 -7 }}
-Optimal tunings:
-* POTE: ~2 = 1\1, ~36/35 = 50.635
-{{Optimal ET sequence|legend=1| 23de, 24, 47de, 71bdde }}
-Badness: 0.046588
 [[Category:Temperament clans]]
 [[Category:Semaphoresmic clan| ]] <!-- main article -->
 [[Category:Rank 2]]