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Semaphoresmic clan: Difference between revisions

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m Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| "
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Line 13: Line 13:
[[Comma list]]: 49/48
[[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
: 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.  
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  
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]]
* ''[[Nessus]]'' (+10/9) → [[Very low accuracy temperaments #Nessus|Very low accuracy temperaments]]
* ''[[Malacoda]]'' (+15/14) → [[Very low accuracy temperaments #Malacoda|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]]
* [[Decimal]] (+25/24) → [[Dicot family #Decimal|Dicot family]]
* ''[[Anguirus]]'' (+2048/2025) → [[Diaschismic family #Anguirus|Diaschismic family]]
* ''[[Anguirus]]'' (+2048/2025) → [[Diaschismic family #Anguirus|Diaschismic family]]
Line 55: Line 55:
* ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus|Porcupine family]]
* ''[[Nautilus]]'' (+250/243) → [[Porcupine family #Nautilus|Porcupine family]]
* ''[[Hemidim]]'' (+648/625) → [[Diminished family #Hemidim|Diminished 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]]
* ''[[Spell]]'' (+3125/3072) → [[Hemimean clan #Spell|Hemimean clan]]
* ''[[Hemiripple]]'' (+6561/6250) → [[Ripple family #Hemiripple|Ripple family]]
* ''[[Hemiripple]]'' (+6561/6250) → [[Ripple family #Hemiripple|Ripple family]]
* ''[[Semabila]]'' (+28672/28125) → [[Mabila family #Mabila|Mabila 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.
Considered below are godzilla, helayo, superpelog, baba, negri, and nuke.
Line 69: Line 70:
Comma list: 49/48, 729/704
Comma list: 49/48, 729/704


Subgroup-val mapping: {{mapping| 1 0 2 -6 | 0 2 1 12 }}
{{Mapping|legend=2| 1 0 2 -6 | 0 2 1 12 }}


Optimal tunings:  
Optimal tunings:  
Line 84: Line 85:
Comma list: 49/48, 77/76, 729/704
Comma list: 49/48, 77/76, 729/704


Subgroup-val mapping: {{mapping| 1 0 2 -6 -6 | 0 2 1 12 13 }}
{{Mapping|legend=2| 1 0 2 -6 -6 | 0 2 1 12 13 }}


Optimal tunings:  
Optimal tunings:  
Line 95: Line 96:


== Godzilla ==
== Godzilla ==
<span style="display: block; text-align: right;">[[:de:Semiphor, Semaphor, Godzilla|Deutsch]]</span>
{{Main| Semaphore and godzilla }}
{{Main| Semaphore and godzilla }}


Line 124: Line 124:


==== 2.3.5.7.13 subgroup ====
==== 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
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:  
Optimal tunings:  
Line 143: Line 143:
Comma list: 45/44, 49/48, 81/80
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:  
Optimal tunings:  
Line 162: Line 162:
Comma list: 45/44, 49/48, 78/77, 81/80
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:  
Optimal tunings:  
Line 181: Line 181:
Comma list: 33/32, 49/48, 55/54
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:  
Optimal tunings:  
Line 196: Line 196:
Comma list: 33/32, 49/48, 55/54, 91/90
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:  
Optimal tunings:  
Line 211: Line 211:
Comma list: 49/48, 77/75, 81/80
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:  
Optimal tunings:  
Line 226: Line 226:
Comma list: 49/48, 66/65, 77/75, 81/80
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:  
Optimal tunings:  
Line 241: Line 241:
Comma list: 49/48, 56/55, 81/80
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:  
Optimal tunings:  
Line 256: Line 256:
Comma list: 49/48, 56/55, 81/80, 91/90
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:  
Optimal tunings:  
Line 316: Line 316:
Comma list: 33/32, 45/44, 49/48
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:  
Optimal tunings:  
Line 353: Line 353:
Comma list: 16/15, 22/21, 49/45
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:  
Optimal tunings:  
Line 391: Line 391:
Comma list: 49/48, 65/64, 91/90
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:  
Optimal tunings:  
Line 408: Line 408:
Comma list: 45/44, 49/48, 56/55
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:  
Optimal tunings:  
Line 423: Line 423:
Comma list: 45/44, 49/48, 56/55, 78/77
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:  
Optimal tunings:  
Line 438: Line 438:
Comma list: 49/48, 100/99, 225/224
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:  
Optimal tunings:  
Line 453: Line 453:
Comma list: 49/48, 65/64, 91/90, 875/858
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:  
Optimal tunings:  
Line 468: Line 468:
Comma list: 33/32, 49/48, 77/75
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:  
Optimal tunings:  
Line 483: Line 483:
Comma list: 33/32, 49/48, 65/64, 91/90
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:  
Optimal tunings:  
Line 498: Line 498:
Comma list: 49/48, 55/54, 225/224
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:  
Optimal tunings:  
Line 513: Line 513:
Comma list: 49/48, 55/54, 65/64, 91/90
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:  
Optimal tunings:  
Line 530: Line 530:
Comma list: 49/48, 121/120, 225/224
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
: mapping generators: ~2, ~11/8
Line 547: Line 547:
Comma list: 49/48, 65/64, 91/90, 121/120
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:  
Optimal tunings:  
Line 562: Line 562:
Comma list: 49/48, 65/64, 91/90, 121/120, 154/153
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:  
Optimal tunings:  
Line 577: Line 577:
Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
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:  
Optimal tunings:  
Line 611: Line 611:
Comma list: 49/48, 77/75, 512/495
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:  
Optimal tunings:  
Line 626: Line 626:
Comma list: 49/48, 66/65, 77/75, 448/429
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:  
Optimal tunings:  
Line 636: Line 636:
Badness (Sintel): 2.01
Badness (Sintel): 2.01


[[Category:Semaphoresmic clan| ]] <!-- main article -->
[[Category:Temperament clans]]
[[Category:Temperament clans]]
[[Category:Semaphoresmic clan| ]] <!-- main article -->
[[Category:Catalogs of rank-2 temperaments]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/Semaphoresmic_clan"