Breedsmic temperaments: Difference between revisions
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== Lockerbie == | |||
: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Lockerbie]].'' | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 2401/2400, {{monzo| 24 13 -18 -1 }} | |||
{{Mapping|legend=1| 1 -25 -16 -13 | 0 74 51 44 }} | |||
: mapping generators: ~2, ~3828125/2985984 | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~2 = 1200.0000, ~3828125/2985984 = 431.1071 | |||
: [[error map]]: {{val| 0.0000 -0.0270 +0.1502 -0.1120 }} | |||
* [[CWE]]: ~2 = 1200.0000, ~3828125/2985984 = 431.1072 | |||
: error map: {{val| 0.0000 -0.0205 +0.1547 -0.1081 }} | |||
{{Optimal ET sequence|legend=1| 103, 167, 270, 643, 913 }} | |||
[[Badness]] (Smith): 0.0597 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 2401/2400, 3025/3024, 766656/765625 | |||
Mapping: {{mapping| 1 -25 -16 -13 -26 | 0 74 51 44 82 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.0000, ~77/60 = 431.1082 | |||
* CWE: ~2 = 1200.0000, ~77/60 = 431.1078 | |||
{{Optimal ET sequence|legend=0| 103, 167, 270, 643, 913, 1183e }} | |||
Badness (Smith): 0.0262 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 1001/1000, 1716/1715, 3025/3024, 4225/4224 | |||
Mapping: {{mapping| 1 -25 -16 -13 -26 -6 | 0 74 51 44 82 27 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.0000, ~77/60 = 431.1085 | |||
* CWE: ~2 = 1200.0000, ~77/60 = 431.1069 | |||
{{Optimal ET sequence|legend=0| 103, 167, 270, 643, 913f }} | |||
Badness (Smith): 0.0160 | |||
== Surmarvelpyth == | == Surmarvelpyth == | ||
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Badness: 0.013771 | Badness: 0.013771 | ||
== Notes == | |||
[[Category:Temperament collections]] | [[Category:Temperament collections]] |