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Semaphoresmic clan: Difference between revisions

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The '''slendro clan''' tempers out the slendro diesis, [[49/48]], a triprime comma with factors of 2, 3 and 7.  
The '''slendro clan''' tempers out the slendro diesis, [[49/48]], a triprime comma with factors of 2, 3 and 7.  


Discussed elsewhere are [[Father family #Baba|baba]], [[Dicot family #Decimal|decimal]], [[Bug family #Beep|beep]], [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Godzilla|godzilla]], [[Kleismic family #Keemun|keemun]], [[Augmented family #Triforce|triforce]], [[Pelogic family #Superpelog|superpelog]], [[Marvel temperaments #Negri|negri]], [[Porcupine family #Nautilus|nautilus]], [[Magic family #Spell|spell]] and [[Immunity family #Immunity|immunity]].  
Discussed elsewhere are [[Father family #Baba|baba]], [[Dicot family #Decimal|decimal]], [[Bug family #Beep|beep]], [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Godzilla|godzilla]], [[Kleismic family #Keemun|keemun]], [[Augmented family #Triforce|triforce]], [[Pelogic family #Superpelog|superpelog]], [[Porcupine family #Nautilus|nautilus]], [[Magic family #Spell|spell]] and [[Immunity family #Immunity|immunity]].  


== Semaphore ==
== Semaphore ==
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Scales: [[semaphore5]], [[semaphore9]], [[semaphore14]]
Scales: [[semaphore5]], [[semaphore9]], [[semaphore14]]
== Negri ==
{{Main| Negri }}
Negri tempers out the [[negri comma]] in the 5-limit, [[49/48]] and [[225/224]] in the 7-limit. It can be extended naturally to the 2.3.5.7.13 subgroup by adding [[91/90]] to the comma list; this will be discussed below under the title of negra.
Subgroup: 2.3.5
[[Comma list]]: 16875/16384
[[Mapping]]: [{{val| 1 2 2 }}, {{val| 0 -4 3 }}]
{{Multival|legend=1| 4 -3 -14 }}
[[POTE generator]]: ~16/15 = 125.7549
{{Optimal ET sequence|legend=1| 9, 10, 19, 67c, 86c, 105c }}
[[Badness]]: 0.086856
=== 7-limit ===
Subgroup: 2.3.5.7
[[Comma list]]: 49/48, 225/224
[[Mapping]]: [{{val| 1 2 2 3 }}, {{val| 0 -4 3 -2 }}]
{{Multival|legend=1| 4 -3 2 -14 -8 13 }}
[[POTE generator]]: ~15/14 = 125.608
{{Optimal ET sequence|legend=1| 9, 10, 19, 48d, 67cdd, 86cdd }}
[[Badness]]: 0.026483
==== Negra ====
This is the 2.3.5.7.13 extension of negri.
Subgroup: 2.3.5.7.13
[[Comma list]]: 49/48, 65/64, 91/90
[[Sval]] [[mapping]]: [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -3 }}]
[[Gencom]] [[mapping]]: [{{val| 1 2 2 3 0 4 }}, {{val| 0 -4 3 -2 0 -3 }}]
[[Gencom]]: [2 14/13; 49/48 65/64 91/90]
[[POTE generator]]: ~14/13 = 125.567
{{Optimal ET sequence|legend=1| 9, 10, 19, 48df, 67cddf, 86cddff }}
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 45/44, 49/48, 56/55
Mapping: [{{val| 1 2 2 3 4 }}, {{val| 0 -4 3 -2 -5 }}]
POTE generator: ~15/14 = 126.474
{{Optimal ET sequence|legend=1| 9, 10, 19 }}
Badness: 0.026190
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 45/44, 49/48, 56/55, 78/77
Mapping: [{{val| 1 2 2 3 4 4 }}, {{val| 0 -4 3 -2 -5 -3 }}]
POTE generator: ~14/13 = 126.431
{{Optimal ET sequence|legend=1| 9, 10, 19 }}
Badness: 0.017833
=== Negril ===
Subgroup: 2.3.5.7.11
Comma list: 49/48, 100/99, 225/224
Mapping: [{{val| 1 2 2 3 2 }}, {{val| 0 -4 3 -2 14 }}]
POTE generator: ~15/14 = 124.767
{{Optimal ET sequence|legend=1| 19, 29, 48d, 77cdd }}
Badness: 0.038679
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 65/64, 91/90, 875/858
Mapping: [{{val| 1 2 2 3 2 4 }}, {{val| 0 -4 3 -2 14 -3 }}]
POTE generator: ~14/13 = 124.716
{{Optimal ET sequence|legend=1| 19, 29, 48df, 77cddf }}
Badness: 0.024383
=== Negric ===
Subgroup: 2.3.5.7.11
Comma list: 33/32, 49/48, 77/75
Mapping: [{{val| 1 2 2 3 3 }}, {{val| 0 -4 3 -2 4 }}]
POTE generator: ~15/14 = 127.039
{{Optimal ET sequence|legend=1| 9, 19e }}
Badness: 0.030617
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 33/32, 49/48, 65/64, 91/90
Mapping: [{{val| 1 2 2 3 3 4 }}, {{val| 0 -4 3 -2 4 -3 }}]
POTE generator: ~14/13 = 127.039
{{Optimal ET sequence|legend=1| 9, 19e }}
Badness: 0.020205
=== Negroni ===
Subgroup: 2.3.5.7.11
Comma list: 49/48, 55/54, 225/224
Mapping: [{{val| 1 2 2 3 5 }}, {{val| 0 -4 3 -2 -15 }}]
POTE generator: ~15/14 = 124.539
{{Optimal ET sequence|legend=1| 10, 19e, 29, 77cddee }}
Badness: 0.035296
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 55/54, 65/64, 91/90
Mapping: [{{val| 1 2 2 3 5 4 }}, {{val| 0 -4 3 -2 -15 -3 }}]
POTE generator: ~14/13 = 124.545
{{Optimal ET sequence|legend=1| 10, 19e, 29, 77cddeef }}
Badness: 0.021559
=== Wilsec ===
Subgroup: 2.3.5.7.11
Comma list: 49/48, 121/120, 225/224
Mapping: [{{val| 1 6 -1 5 4 }}, {{val| 0 -8 6 -4 -1 }}]
POTE generator: ~11/8 = 537.186
{{Optimal ET sequence|legend=1| 9, 20, 29, 38d, 67cdde }}
Badness: 0.041886
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 65/64, 91/90, 121/120
Mapping: [{{val| 1 6 -1 5 4 7 }}, {{val| 0 -8 6 -4 -1 -6 }}]
POTE generator: ~11/8 = 537.208
{{Optimal ET sequence|legend=1| 9, 20, 29, 38df, 67cddef }}
Badness: 0.025192
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Comma list: 49/48, 65/64, 91/90, 121/120, 154/153
Mapping: [{{val| 1 6 -1 5 4 7 -2 }}, {{val| 0 -8 6 -4 -1 -6 11 }}]
POTE generator: ~11/8 = 537.230
{{Optimal ET sequence|legend=1| 9, 20g, 29g, 38df, 67cddefg }}
Badness: 0.021778
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 49/48, 65/64, 77/76, 91/90, 121/120, 154/153
Mapping: [{{val| 1 6 -1 5 4 7 -2 7 }}, {{val| 0 -8 6 -4 -1 -6 11 -5 }}]
POTE generator: ~11/8 = 537.214
{{Optimal ET sequence|legend=1| 9, 20g, 29g, 38df, 67cddefgh }}
Badness: 0.016828


== Nuke ==
== Nuke ==
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