Semaphoresmic clan: Difference between revisions

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 * ''[[Baba]]'' → [[Father family #Baba|Father family]]
 * ''[[Beep]]'' → [[Bug family #Beep|Bug family]]
-* [[Godzilla]] → [[Meantone family #Godzilla|Meantone family]]
 * ''[[Immunity]]'' → [[Immunity family #Septimal immunity|Immunity family]]
-* ''[[Superpelog]]'' → [[Pelogic family #Superpelog|Pelogic family]]
 * ''[[Decimal]]'' → [[Dicot family #Decimal|Dicot family]]
 * ''[[Triforce]]'' → [[Augmented family #Triforce|Augmented family]]
@@ Line 42: / Line 40: @@
 * ''[[Spell]]'' → [[Hemimean clan #Spell|Hemimean clan]]
-Considered below are negri, nuke, mabila, and hemiripple.
+Considered below are godzilla, superpelog, negri, nuke, mabila, and hemiripple.
+== Godzilla ==
+<span style="display: block; text-align: right;">[[:de:Semiphor, Semaphor, Godzilla|Deutsch]]</span>
+{{Main| Semaphore and godzilla }}
+Godzilla tempers out [[81/80]], equating 9/8 and 10/9, so it finds the prime 5 at a stack of four fifths, as does any temperament in the [[meantone family]]. [[19edo]] is close to being the optimal generator tuning; hence it can be more or less equated with taking 4\19 as a generator. [[Mos scale]]s are of 5, 9, or 14 notes.
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 49/48, 81/80
+{{Mapping|legend=1|| 1 0 -4 2 | 0 2 8 1 }}
+: mapping generators: ~2, ~7/4
+{{Multival|legend=1| 2 8 1 8 -4 -20 }}
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8/7 = 252.635
+[[Tuning ranges]]:
+* 7- and 9-odd-limit [[diamond monotone]]: ~7/6 = [240.000, 257.143] (1\5 to 3\14)
+* 7- and 9-odd-limit [[diamond tradeoff]]: ~7/6 = [231.174, 266.871]
+* 7- and 9-odd-limit diamond monotone and tradeoff: ~7/6 = [240.000, 257.143]
+{{Optimal ET sequence|legend=1| 5, 14c, 19 }}
+[[Badness]]: 0.026747
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 45/44, 49/48, 81/80
+Mapping: {{mapping| 1 0 -4 2 -6 | 0 2 8 1 12 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 254.027
+Tuning ranges:
+* 11-odd-limit diamond monotone: ~7/6 = [252.632, 257.143] (4\19 to 3\14)
+* 11-odd-limit diamond tradeoff: ~7/6 = [231.174, 266.871]
+* 11-odd-limit diamond monotone and tradeoff: ~7/6 = [252.632, 257.143]
+{{Optimal ET sequence|legend=1| 14c, 19, 33cd, 52cd }}
+Badness: 0.028947
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 45/44, 49/48, 78/77, 81/80
+Mapping: {{mapping| 1 0 -4 2 -6 -5 | 0 2 8 1 12 11 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 253.603
+Tuning ranges:
+* 13- and 15-odd-limit diamond monotone: ~7/6 = 252.632 (4\19)
+* 13- and 15-odd-limit diamond tradeoff: ~7/6 = [231.174, 289.210]
+* 13- and 15-odd-limit diamond monotone and tradeoff: ~7/6 = 252.632
+{{Optimal ET sequence|legend=1| 14cf, 19, 33cdff, 52cdff }}
+Badness: 0.022503
+=== Semafour ===
+Subgroup: 2.3.5.7.11
+Comma list: 33/32, 49/48, 55/54
+Mapping: {{mapping| 1 0 -4 2 5 | 0 2 8 1 -2 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 254.042
+{{Optimal ET sequence|legend=1| 14c, 19e, 33cdee }}
+Badness: 0.028510
+=== Varan ===
+Subgroup: 2.3.5.7.11
+Comma list: 49/48, 77/75, 81/80
+Mapping: {{mapping| 1 0 -4 2 -10 | 0 2 8 1 17 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.079
+{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
+Badness: 0.039647
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 49/48, 66/65, 77/75, 81/80
+Mapping: {{mapping| 1 0 -4 2 -10 -5 | 0 2 8 1 17 11 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.165
+{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
+Badness: 0.025676
+=== Baragon ===
+Subgroup: 2.3.5.7.11
+Comma list: 49/48, 56/55, 81/80
+Mapping: {{mapping| 1 0 -4 2 9 | 0 2 8 1 -7 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.173
+{{Optimal ET sequence|legend=1| 5, 14ce, 19, 24, 43d }}
+Badness: 0.035673
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 49/48, 56/55, 81/80, 91/90
+Mapping: {{mapping| 1 0 -4 2 9 -5 | 0 2 8 1 -7 11 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.198
+{{Optimal ET sequence|legend=1| 5, 14cef, 19, 24, 43d }}
+Badness: 0.026703
+== Superpelog ==
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 49/48, 135/128
+{{Mapping|legend=1| 1 0 7 2 | 0 2 -6 1 }}
+{{Multival|legend=1| 2 -6 1 -14 -4 19 }}
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8/7 = 259.952
+{{Optimal ET sequence|legend=1| 9, 14c, 23d, 37bcd, 60bbccdd }}
+[[Badness]]: 0.058216
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 33/32, 45/44, 49/48
+Mapping: {{mapping| 1 0 7 2 5 | 0 2 -6 1 -2 }}
+Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 259.959
+{{Optimal ET sequence|legend=1| 9, 14c, 23de, 37bcde }}
+Badness: 0.028535
+; Music
+: ''[http://micro.soonlabel.com/MOS/20120418-9mos-mindaugas.mp3 Mindaugas Rex Lithuaniae]'' by [http://chrisvaisvil.com/?p=2267 Chris Vaisvil] (in 5\23 tuning)
 == Negri ==