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Miscellaneous 5-limit temperaments: Difference between revisions

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[[Badness]]: 0.255594
[[Badness]]: 0.255594
== Gamera ==
{{See also| Ragismic microtemperaments #Gamera }}
[[Subgroup]]: 2.3.5
[[Comma list]]: 12207031250000000000/12157665459056928801
{{Mapping|legend=1| 1 6 10 | 0 -23 -40 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000, ~2500/2187 = 230.345
* [[CWE]]: ~2 = 1200.000, ~2500/2187 = 230.345
{{Optimal ET sequence|legend=1| 26, 73, 99, 224, 323, 547, 870 }}
[[Badness]]:
* Smith: 0.273
* Dirichlet: 6.39


== Tritriple ==
== Tritriple ==
Line 246: Line 265:


[[Badness]]: 0.317551
[[Badness]]: 0.317551
== Nessafof ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 481469424205824/476837158203125
{{Mapping|legend=1| 3 2 5 | 0 7 5 }}
[[Optimal tuning]]s:
* [[CTE]]: ~78125/62208 = 400.000, ~9765625/8957952 = 157.392
* [[CWE]]: ~78125/62208 = 400.000, ~9765625/8957952 = 157.409
{{Optimal ET sequence|legend=1| 15, 54b, 69, 84, 99, 183, 282, 465, 1212c, 1677cc }}
[[Badness]]:
* Smith: 0.333
* Dirichlet: 7.807


== Sevond ==
== Sevond ==
Line 786: Line 822:


[[Badness]]: 0.729609
[[Badness]]: 0.729609
== Mirkat ==
[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| 20 -39 18 }}
{{Mapping|legend=1| 3 2 1 | 0 6 13 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2000000/1594323 = 400.000, ~10/9 = 183.583
* [[CWE]]: ~2000000/1594323 = 400.000, ~10/9 = 183.585
{{Optimal ET sequence|legend=1| 33c, 39, 72, 111, 183, 438, 621, 1425b }}
[[Badness]]:
* Smith: 0.752
* Dirichlet: 17.631


== Semidimi ==
== Semidimi ==
Line 802: Line 855:


[[Badness]]: 0.754866
[[Badness]]: 0.754866
== Slender ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 72081298828125/70368744177664
{{Mapping|legend=1| 1 2 2 | 0 -13 10 }}
[[Optimal tunings]]:
* [[CTE]]: ~2 = 1200.000, ~16875/16384 = 38.380
* [[CWE]]: ~2 = 1200.000, ~16875/16384 = 38.400
{{Optimal ET sequence|legend=1| 31, 94, 125, 781bcc }}
[[Badness]]:
* Smith: 0.761
* Dirichlet: 17.842


== Quasitemp ==
== Quasitemp ==
Line 975: Line 1,045:


[[Badness]]: 1.244699
[[Badness]]: 1.244699
== Quasiorwell ==
[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| -93 3 38 }}
{{Mapping|legend=1| 1 31 0 | 0 -38 3 }}
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000, ~3662109375/2147483648 = 928.896
* [[CWE]]: ~2 = 1200.000, ~3662109375/2147483648 = 928.893
{{Optimal ET sequence|legend=1| 31, …, 177, 208, 239, 270, 841, 1111, 1381, 2492c }}
[[Badness]]:
* Smith: 1.30
* Dirichlet: 30.581


== Diesic ==
== Diesic ==
Line 1,162: Line 1,249:
{{Mapping|legend=1| 1 11 -10 | 0 -13 17 }}
{{Mapping|legend=1| 1 11 -10 | 0 -13 17 }}


: mapping generators: ~16384/10125 = 869.392
: mapping generators: ~2, ~16384/10125


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000, ~16384/10125 = 869.392
* [[CTE]]: ~2 = 1200.000, ~16384/10125 = 869.392
* [[CWE]]: ~2 = 1200.000, ~16384/10125 = 869.402


{{Optimal ET sequence|legend=1| 11, 29, 69, 98c }}
{{Optimal ET sequence|legend=1| 11, 29, 69, 98c }}


[[Badness]]: 4.23
[[Badness]]: 4.23
== Gamera ==
{{see also| Ragismic microtemperaments #Gamera }}
[[Subgroup]]: 2.3.5
[[Comma list]]: 12207031250000000000/12157665459056928801
{{Mapping|legend=1| 1 6 10 | 0 -23 -40 }}
Optimal tunings:
* [[CWE]]: ~2 = 1200.000, ~2500/2187 = 230.345
Supporting ETs: 99, 323, 224, 26, 125, 547, 5bccc, 422, 73, 870, 21bcc, 47bc, 771, 349
[[Badness]] (Dirichlet): 6.394
== Nessafof ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 481469424205824/476837158203125
{{Mapping|legend=1| 3 2 5 | 0 7 5 }}
Optimal tunings:
* [[CWE]]: ~78125/62208 = 400.000, ~9765625/8957952 = 157.409
Supporting ETs: 15, 99, 84, 183, 282, 69, 114, 9bbc, 267, 54b, 381, 24bbc, 39bc, 465
[[Badness]] (Dirichlet): 7.807
== Mirkat ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 4052555153018976267/4000000000000000000
{{Mapping|legend=1| 3 2 1 | 0 6 13 }}
Optimal tunings:
* [[CWE]]: ~2000000/1594323 = 400.000, ~10/9 = 183.585
Supporting ETs: 72, 183, 6cc, 39, 111, 33c, 255, 294, 438, 327, 105c, 150c, 45bccc, 477
[[Badness]] (Dirichlet): 17.631
== Slender ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 72081298828125/70368744177664
{{Mapping|legend=1| 1 2 2 | 0 -13 10 }}
Optimal tunings:
* [[CWE]]: ~2 = 1200.000, ~16875/16384 = 38.400
Supporting ETs: 31, 125, 94, 63, 32, 156, 30b, 219c, 187, 281, 157c, 218b, 95c, 344c
[[Badness]] (Dirichlet): 17.842
== Quasiorwell ==
[[Subgroup]]: 2.3.5
[[Comma list]]: 9903520314283042199192993792/9822542779147624969482421875
{{Mapping|legend=1| 1 31 0 | 0 -38 3 }}
Optimal tunings:
* [[CWE]]: ~2 = 1200.000, ~3662109375/2147483648 = 928.893
Supporting ETs: 31, 270, 301, 239, 571, 208, 841, 332, 509, 177, 1111, 146b, 872, 363
[[Badness]] (Dirichlet): 30.581


[[Category:Temperament collections]]
[[Category:Temperament collections]]
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