@@ Line 13: / Line 13: @@
 [[Comma list]]: 49/48
-{{Mapping|legend=2| 1 0 2 | 0 2 1 }}
+{{Mapping|legend=3| 1 0 2 | 0 2 1 }}
-{{Mapping|legend=3| 1 0 0 2 | 0 2 0 1 }}
+{{Mapping|legend=5| 1 0 0 2 | 0 2 0 1 }}
 : mapping generators: ~2, ~7/4
@@ Line 42: / Line 42: @@
 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. Blackwood adds [[28/27]], with a 1/5-octave period. 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.
+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. Rhinoceros adds [[4375/4374]], splitting the hemifourth in four. Spell adds [[3125/3072]], splitting the hemitwelfth in five. Hemiripple adds 6561/6250, splitting the hemifourth in five. Semabila adds 28672/28125 and splits an interval of two octaves plus a hemifourth in five. Finally, blackwood adds [[28/27]], reducing intervals of 3 and 7 to the same chain of 1/5-octave periods.
 Discussed elsewhere are
-* ''[[Beep]]'' (+21/20) → [[Bug family #Beep|Bug family]]
-* ''[[Immunity]]'' (+2240/2187) → [[Immunity family #Septimal immunity|Immunity family]]
 * ''[[Nessus]]'' (+10/9) → [[Very low accuracy temperaments #Nessus|Very low accuracy temperaments]]
 * ''[[Malacoda]]'' (+15/14) → [[Very low accuracy temperaments #Malacoda|Very low accuracy temperaments]]
+* [[Beep]] (+21/20) → [[Bug family #Beep|Bug family]]
+* ''[[Immunity]]'' (+2240/2187) → [[Immunity family #Septimal immunity|Immunity family]]
 * [[Decimal]] (+25/24) → [[Dicot family #Decimal|Dicot family]]
 * ''[[Anguirus]]'' (+2048/2025) → [[Diaschismic family #Anguirus|Diaschismic family]]
@@ Line 55: / Line 55: @@
 * ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus|Porcupine family]]
 * ''[[Hemidim]]'' (+648/625) → [[Diminished family #Hemidim|Diminished family]]
-* [[Blackwood]] (+28/27) → [[Limmic temperaments #Blackwood|Limmic temperaments]]
+* ''[[Rhinoceros]]'' (+4375/4374) → [[Unicorn family #Rhinoceros|Unicorn family]]
 * ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell|Hemimean clan]]
 * ''[[Hemiripple]]'' (+6561/6250) → [[Ripple family #Hemiripple|Ripple family]]
 * ''[[Semabila]]'' (+28672/28125) → [[Mabila family #Mabila|Mabila family]]
+* [[Blackwood]] (+28/27) → [[Blackwood family #Blackwood|Blackwood family]]
 Considered below are godzilla, helayo, superpelog, baba, negri, and nuke.
+=== Semaerophore ===
+Named by [[CompactStar]] in 2023, this extension tempers out [[729/704]]. It is the no-5 [[restriction]] of undecimal godzilla.
+Subgroup: 2.3.7.11
+Comma list: 49/48, 729/704
+{{Mapping|legend=2| 1 0 2 -6 | 0 2 1 12 }}
+Optimal tunings:
+* WE: ~2 = 1204.9027{{c}}, ~7/4 = 948.7772{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 945.4959{{c}}
+{{Optimal ET sequence|legend=0| 14, 33d, 47de }}
+Badness (Sintel): 1.27
+==== 2.3.7.11.19 subgroup ====
+Subgroup: 2.3.7.11.19
+Comma list: 49/48, 77/76, 729/704
+{{Mapping|legend=2| 1 0 2 -6 -6 | 0 2 1 12 13 }}
+Optimal tunings:
+* WE: ~2 = 1204.9645{{c}}, ~7/4 = 948.5749{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~7/4 = 945.2236{{c}}
+{{Optimal ET sequence|legend=0| 14, 33d, 47deh }}
+Badness (Sintel): 1.08
 == Godzilla ==
-<span style="display: block; text-align: right;">[[:de:Semiphor, Semaphor, Godzilla|Deutsch]]</span>
 {{Main| Semaphore and godzilla }}
@@ Line 92: / Line 124: @@
 ==== 2.3.5.7.13 subgroup ====
-Subgroup: 2.3.5.7.11.13
+Subgroup: 2.3.5.7.13
 Comma list: 49/48, 81/80, 91/90
-Subgroup-val mapping: {{mapping| 1 0 -4 2 -5 | 0 2 8 1 11 }}
+{{Mapping|legend=2| 1 0 -4 2 -5 | 0 2 8 1 11 }}
 Optimal tunings:
@@ Line 111: / Line 143: @@
 Comma list: 45/44, 49/48, 81/80
-Mapping: {{mapping| 1 0 -4 2 -6 | 0 2 8 1 12 }}
+{{Mapping|legend=0| 1 0 -4 2 -6 | 0 2 8 1 12 }}
 Optimal tunings:
@@ Line 130: / Line 162: @@
 Comma list: 45/44, 49/48, 78/77, 81/80
-Mapping: {{mapping| 1 0 -4 2 -6 -5 | 0 2 8 1 12 11 }}
+{{Mapping|legend=0| 1 0 -4 2 -6 -5 | 0 2 8 1 12 11 }}
 Optimal tunings:
@@ Line 149: / Line 181: @@
 Comma list: 33/32, 49/48, 55/54
-Mapping: {{mapping| 1 0 -4 2 5 | 0 2 8 1 -2 }}
+{{Mapping|legend=0| 1 0 -4 2 5 | 0 2 8 1 -2 }}
 Optimal tunings:
@@ Line 164: / Line 196: @@
 Comma list: 33/32, 49/48, 55/54, 91/90
-Mapping: {{mapping| 1 0 -4 2 5 -5 | 0 2 8 1 -2 11 }}
+{{Mapping|legend=0| 1 0 -4 2 5 -5 | 0 2 8 1 -2 11 }}
 Optimal tunings:
@@ Line 179: / Line 211: @@
 Comma list: 49/48, 77/75, 81/80
-Mapping: {{mapping| 1 0 -4 2 -10 | 0 2 8 1 17 }}
+{{Mapping|legend=0| 1 0 -4 2 -10 | 0 2 8 1 17 }}
 Optimal tunings:
@@ Line 194: / Line 226: @@
 Comma list: 49/48, 66/65, 77/75, 81/80
-Mapping: {{mapping| 1 0 -4 2 -10 -5 | 0 2 8 1 17 11 }}
+{{Mapping|legend=0| 1 0 -4 2 -10 -5 | 0 2 8 1 17 11 }}
 Optimal tunings:
@@ Line 209: / Line 241: @@
 Comma list: 49/48, 56/55, 81/80
-Mapping: {{mapping| 1 0 -4 2 9 | 0 2 8 1 -7 }}
+{{Mapping|legend=0| 1 0 -4 2 9 | 0 2 8 1 -7 }}
 Optimal tunings:
@@ Line 224: / Line 256: @@
 Comma list: 49/48, 56/55, 81/80, 91/90
-Mapping: {{mapping| 1 0 -4 2 9 -5 | 0 2 8 1 -7 11 }}
+{{Mapping|legend=0| 1 0 -4 2 9 -5 | 0 2 8 1 -7 11 }}
 Optimal tunings:
@@ Line 254: / Line 286: @@
 [[Badness]] (Sintel): 2.00
+Scales: [[Helayo14]], [[Helayo19]], [[Helayo24]]
 ; Music
@@ Line 282: / Line 316: @@
 Comma list: 33/32, 45/44, 49/48
-Mapping: {{mapping| 1 0 7 2 5 | 0 2 -6 1 -2 }}
+{{Mapping|legend=0| 1 0 7 2 5 | 0 2 -6 1 -2 }}
 Optimal tunings:
@@ Line 319: / Line 353: @@
 Comma list: 16/15, 22/21, 49/45
-Mapping: {{mapping| 1 0 4 2 1 | 0 2 -2 1 3 }}
+{{Mapping|legend=0| 1 0 4 2 1 | 0 2 -2 1 3 }}
 Optimal tunings:
@@ Line 357: / Line 391: @@
 Comma list: 49/48, 65/64, 91/90
-Subgroup-val mapping: {{mapping| 1 2 2 3 4 | 0 -4 3 -2 -3 }}
+{{Mapping|legend=2| 1 2 2 3 4 | 0 -4 3 -2 -3 }}
-Gencom mapping: {{mapping| 1 2 2 3 0 4 | 0 -4 3 -2 0 -3 }}
+{{Mapping|legend=4| 1 2 2 3 0 4 | 0 -4 3 -2 0 -3 }}
 Optimal tunings:
@@ Line 374: / Line 408: @@
 Comma list: 45/44, 49/48, 56/55
-Mapping: {{mapping| 1 2 2 3 4 | 0 -4 3 -2 -5 }}
+{{Mapping|legend=0| 1 2 2 3 4 | 0 -4 3 -2 -5 }}
 Optimal tunings:
@@ Line 389: / Line 423: @@
 Comma list: 45/44, 49/48, 56/55, 78/77
-Mapping: {{mapping| 1 2 2 3 4 4 | 0 -4 3 -2 -5 -3 }}
+{{Mapping|legend=0| 1 2 2 3 4 4 | 0 -4 3 -2 -5 -3 }}
 Optimal tunings:
@@ Line 404: / Line 438: @@
 Comma list: 49/48, 100/99, 225/224
-Mapping: {{mapping| 1 2 2 3 2 | 0 -4 3 -2 14 }}
+{{Mapping|legend=0| 1 2 2 3 2 | 0 -4 3 -2 14 }}
 Optimal tunings:
@@ Line 419: / Line 453: @@
 Comma list: 49/48, 65/64, 91/90, 875/858
-Mapping: {{mapping| 1 2 2 3 2 4 | 0 -4 3 -2 14 -3 }}
+{{Mapping|legend=0| 1 2 2 3 2 4 | 0 -4 3 -2 14 -3 }}
 Optimal tunings:
@@ Line 434: / Line 468: @@
 Comma list: 33/32, 49/48, 77/75
-Mapping: {{mapping| 1 2 2 3 3 | 0 -4 3 -2 4 }}
+{{Mapping|legend=0| 1 2 2 3 3 | 0 -4 3 -2 4 }}
 Optimal tunings:
@@ Line 449: / Line 483: @@
 Comma list: 33/32, 49/48, 65/64, 91/90
-Mapping: {{mapping| 1 2 2 3 3 4 | 0 -4 3 -2 4 -3 }}
+{{Mapping|legend=0| 1 2 2 3 3 4 | 0 -4 3 -2 4 -3 }}
 Optimal tunings:
@@ Line 464: / Line 498: @@
 Comma list: 49/48, 55/54, 225/224
-Mapping: {{mapping| 1 2 2 3 5 | 0 -4 3 -2 -15 }}
+{{Mapping|legend=0| 1 2 2 3 5 | 0 -4 3 -2 -15 }}
 Optimal tunings:
@@ Line 479: / Line 513: @@
 Comma list: 49/48, 55/54, 65/64, 91/90
-Mapping: {{mapping| 1 2 2 3 5 4 | 0 -4 3 -2 -15 -3 }}
+{{Mapping|legend=0| 1 2 2 3 5 4 | 0 -4 3 -2 -15 -3 }}
 Optimal tunings:
@@ Line 496: / Line 530: @@
 Comma list: 49/48, 121/120, 225/224
-Mapping: {{mapping| 1 -2 5 1 3 | 0 8 -6 4 1 }}
+{{Mapping|legend=0| 1 -2 5 1 3 | 0 8 -6 4 1 }}
 : mapping generators: ~2, ~11/8
@@ Line 513: / Line 547: @@
 Comma list: 49/48, 65/64, 91/90, 121/120
-Mapping: {{mapping| 1 -2 5 1 3 1 | 0 8 -6 4 1 6 }}
+{{Mapping|legend=0| 1 -2 5 1 3 1 | 0 8 -6 4 1 6 }}
 Optimal tunings:
@@ Line 528: / Line 562: @@
 Comma list: 49/48, 65/64, 91/90, 121/120, 154/153
-Mapping: {{mapping| 1 -2 5 1 3 1 9 | 0 8 -6 4 1 6 -11 }}
+{{Mapping|legend=0| 1 -2 5 1 3 1 9 | 0 8 -6 4 1 6 -11 }}
 Optimal tunings:
@@ Line 543: / Line 577: @@
 Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
-Mapping: {{mapping| 1 -2 5 1 3 1 9 2 | 0 8 -6 4 1 6 -11 5 }}
+{{Mapping|legend=0| 1 -2 5 1 3 1 9 2 | 0 8 -6 4 1 6 -11 5 }}
 Optimal tunings:
@@ Line 577: / Line 611: @@
 Comma list: 49/48, 77/75, 512/495
-Mapping: {{mapping| 1 2 2 3 3 | 0 -6 5 -3 7 }}
+{{Mapping|legend=0| 1 2 2 3 3 | 0 -6 5 -3 7 }}
 Optimal tunings:
@@ Line 592: / Line 626: @@
 Comma list: 49/48, 66/65, 77/75, 448/429
-Mapping: {{mapping| 1 2 2 3 3 4 | 0 -6 5 -3 7 -4 }}
+{{Mapping|legend=0| 1 2 2 3 3 4 | 0 -6 5 -3 7 -4 }}
 Optimal tunings:
@@ Line 602: / Line 636: @@
 Badness (Sintel): 2.01
+[[Category:Semaphoresmic clan| ]] <!-- main article -->
 [[Category:Temperament clans]]
-[[Category:Semaphoresmic clan| ]] <!-- main article -->
+[[Category:Catalogs of rank-2 temperaments]]
-[[Category:Rank 2]]

Semaphoresmic clan: Difference between revisions

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