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User:FloraC/Temperament name proposal: Difference between revisions

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** Bischis (118f & 130)
** Bischis (118f & 130)
** Kleischis (94 & 118f)
** Kleischis (94 & 118f)
** Helenois (53 & 118f)
** <s>Helenois (53 & 118f)</s>
** Guironis (41 & 118f)
** Guillon (41 & 118f)
** Pontis (118f & 171)
** <s>Pontis (118f & 171)</s>
** Octowerckis (72 & 104c)
** Octowerckis (72 & 104c)
** Slenderman (94 & 125f)
** Slenderman (94 & 125f)
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*** Pseudoamorous (14cf & 99ef)
*** Pseudoamorous (14cf & 99ef)
* Semiporwell (46 & 68 & 130) – one of many neat ways to exploit the semiporwellisma
* Semiporwell (46 & 68 & 130) – one of many neat ways to exploit the semiporwellisma
* Mistynex (24 & 87 & 111)
* Squad (14cf & 17c) – an alternative 13-limit extension of squares that's good for detempering
* Squad (14cf & 17c) – an alternative 13-limit extension of squares that's good for detempering
* Undim extensions:  
* Undim extensions:  
** Unlit (152f & 316)
** Unlit (152f & 316)
** Twilight (152f & 176)
** Twilight (152f & 176)
* Countritonic extensions:
** Countritonic (53 & 422)


== Orthocanousmic ==
== Orthocanousmic ==
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[[Comma list]]: 2080/2079, 4621925/4605822
[[Comma list]]: 2080/2079, 4621925/4605822


[[Mapping]]: [{{val| 1 0 0 -1 0 -6 }}, {{val| 0 1 2 2 0 3 }}, {{val| 0 0 -4 3 0 7 }}, {{val| 0 0 0 0 1 1 }}]
{{Mapping|legend=1| 1 0 0 -1 0 -6 | 0 1 2 2 0 3 | 0 0 -4 3 0 7 | 0 0 0 0 1 1 }}


[[Optimal tuning]] ([[CTE]]): ~3/2 = 702.3120, ~81/70 = 254.6177, ~11/8 = 551.2945
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.3120, ~81/70 = 254.6177, ~11/8 = 551.2945


{{Optimal ET sequence|legend=1| 94, 113, 193e, 193f, 198, 311, 509, 721, 938, 1249 }}
{{Optimal ET sequence|legend=1| 94, 113, 193e, 193f, 198, 311, 509, 721, 938, 1249 }}
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Comma list: 1225/1224, 2080/2079, 256564/255879
Comma list: 1225/1224, 2080/2079, 256564/255879


Mapping: [{{val| 1 0 0 -1 0 -6 -5 }}, {{val| 0 1 2 2 0 3 6 }}, {{val| 0 0 -4 3 0 7 -2 }}, {{val| 0 0 0 0 1 1 0 }}]
Mapping: {{mapping| 1 0 0 -1 0 -6 -5 | 0 1 2 2 0 3 6 | 0 0 -4 3 0 7 -2 | 0 0 0 0 1 1 0 }}


Optimal tuning (CTE): ~3/2 = 702.3391, ~81/70 = 254.6143, ~11/8 = 551.2678
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3391, ~81/70 = 254.6143, ~11/8 = 551.2678


{{Optimal ET sequence|legend=1| 94, 118f, 193e, 193f, 198g, 212g, 217, 311, 509, 721, 938, 1447b, 1659b }}
{{Optimal ET sequence|legend=1| 94, 118f, 193e, 193f, 198g, 212g, 217, 311, 509, 721, 938, 1447b, 1659b }}
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Comma list: 1216/1215, 1225/1224, 1445/1444, 2080/2079
Comma list: 1216/1215, 1225/1224, 1445/1444, 2080/2079


Mapping: [{{val| 1 0 0 -1 0 -6 -5 -6 }}, {{val| 0 1 2 2 0 3 6 7 }}, {{val| 0 0 -4 3 0 7 -2 -4 }}, {{val| 0 0 0 0 1 1 0 0 }}]
Mapping: {{mapping| 1 0 0 -1 0 -6 -5 -6 | 0 1 2 2 0 3 6 7 | 0 0 -4 3 0 7 -2 -4 | 0 0 0 0 1 1 0 0 }}


Optimal tuning (CTE): ~3/2 = 702.3182, ~81/70 = 254.6205, ~11/8 = 551.2767
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3182, ~81/70 = 254.6205, ~11/8 = 551.2767


{{Optimal ET sequence|legend=1| 94, 118f, 193e, 193f, 198gh, 212gh, 217, 311, 627h, 721, 938, 1032, 1249 }}
{{Optimal ET sequence|legend=1| 94, 118f, 193e, 193f, 198gh, 212gh, 217, 311, 627h, 721, 938, 1032, 1249 }}
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[[Comma list]]: 2080/2079, 831875/830466
[[Comma list]]: 2080/2079, 831875/830466


[[Mapping]]: [{{val| 1 0 2 7 0 0 }}, {{val| 0 1 0 -3 0 0 }}, {{val| 0 0 4 7 0 3 }}, {{val| 0 0 0 0 1 1 }}]
{{Mapping|legend=1| 1 0 2 7 0 0 | 0 1 0 -3 0 0 | 0 0 4 7 0 3 | 0 0 0 0 1 1 }}


[[Optimal tuning]] ([[CTE]]): ~3/2 = 702.1596, ~55/52 = 96.5027, ~11/8 = 551.1788
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.1596, ~55/52 = 96.5027, ~11/8 = 551.1788


{{Optimal ET sequence|legend=1| 87, 111, 186, 198, 224, 311, 422, 634, 733f, 858, 945, 1169, 1367, 1591f }}
{{Optimal ET sequence|legend=1| 87, 111, 186, 198, 224, 311, 422, 634, 733f, 858, 945, 1169, 1367, 1591f }}
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Comma list: 2080/2079, 2500/2499, 41140/41067
Comma list: 2080/2079, 2500/2499, 41140/41067


Mapping: [{{val| 1 0 2 7 0 0 -4 }}, {{val| 0 1 0 -3 0 0 5 }}, {{val| 0 0 4 7 0 3 2 }}, {{val| 0 0 0 0 1 1 0 }}]
Mapping: {{mapping| 1 0 2 7 0 0 -4 | 0 1 0 -3 0 0 5 | 0 0 4 7 0 3 2 | 0 0 0 0 1 1 0 }}


Optimal tuning (CTE): ~3/2 = 702.3034, ~55/52 = 96.5472, ~11/8 = 551.1166
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.3034, ~55/52 = 96.5472, ~11/8 = 551.1166


{{Optimal ET sequence|legend=1| 87, 99ef, 111, 198g, 212g, 299, 311, 422, 721, 733f, 931fg, 1143, 1565bf }}
{{Optimal ET sequence|legend=1| 87, 99ef, 111, 198g, 212g, 299, 311, 422, 721, 733f, 931fg, 1143, 1565bf }}
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Comma list: 1216/1215, 1445/1444, 2080/2079, 2500/2499
Comma list: 1216/1215, 1445/1444, 2080/2079, 2500/2499


Mapping: [{{val| 1 0 2 7 0 0 -4 -4 }}, {{val| 0 1 0 -3 0 0 5 5 }}, {{val| 0 0 4 7 0 3 2 4 }}, {{val| 0 0 0 0 1 1 0 0 }}]
Mapping: {{mapping| 1 0 2 7 0 0 -4 -4 | 0 1 0 -3 0 0 5 5 | 0 0 4 7 0 3 2 4 | 0 0 0 0 1 1 0 0 }}


Optimal tuning (CTE): ~3/2 = 702.2902, ~55/52 = 96.5420, ~11/8 = 551.1238
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.2902, ~55/52 = 96.5420, ~11/8 = 551.1238


{{Optimal ET sequence|legend=1| 87, 99ef, 111, 198gh, 210efgh, 212g, 299, 311, 422, 733f, 1056, 1143h, 1454fh }}
{{Optimal ET sequence|legend=1| 87, 99ef, 111, 198gh, 210efgh, 212g, 299, 311, 422, 733f, 1056, 1143h, 1454fh }}
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An unnamed 13-limit rank-3 temperament. Gotta find a name from Hawaiian myth like other hemifamity temperaments.  
An unnamed 13-limit rank-3 temperament. Gotta find a name from Hawaiian myth like other hemifamity temperaments.  


Subgroup: 2.3.5.7.11.13
[[Subgroup]]: 2.3.5.7.11.13


[[Comma list]]: 352/351, 847/845, 14641/14580
[[Comma list]]: 352/351, 847/845, 14641/14580


[[Mapping]]: [{{val| 1 0 2 12 1 6 }}, {{val| 0 1 2 -4 2 -1 }}, {{val| 0 0 4 4 1 1 }}]
{{Mapping|legend=1| 1 0 2 12 1 6 | 0 1 2 -4 2 -1 | 0 0 4 4 1 1 }}


{{Optimal ET sequence|legend=1| 87, 111, 181, 198, 379f, 490f }}
{{Optimal ET sequence|legend=1| 87, 111, 181, 198, 379f, 490f }}


[[Badness]]: 1.650 × 10<sup>-3</sup>
[[Badness]]: 1.650 × 10<sup>-3</sup>
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