Gunn: Difference between revisions
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Created page with "{{Infobox regtemp | Title = Gunn | Subgroups = 2.3.5.7.11.13.17.19 | Comma basis = 729/728, 273/272, 153/152, 364/363, 1729/1728 | Edo join 1 = 24c | Edo join 2 = 24 | Edo join 3 = 72 | Mapping = 24; 0 0 1 0 0 0 0 0; 0 0 0 1 0 -1 0 0 | Generators = 33/32, 5/4, 7/4 | Generators tuning = 50.000; 384.84; 965.14 | Optimization method = CWE }} Gunn temperament is a rank-3 temperament in the Compton family that tempers out 729/728, 273/272, 15..." |
→Technical temperament data: Correct major error in subgroup |
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Gunn temperament is a rank-3 temperament in the [[Compton family]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for 24edo or 72edo that maps out many interesting 19-limit commas such as the [[Semitonisma]] and [[Sylvisma]]. Furthermore, this temperament tempers out the [[Rastma]], so it can be thought of as a very high-limit intersection of Compton and Rastmic. | Gunn temperament is a rank-3 temperament in the [[Compton family]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for 24edo or 72edo that maps out many interesting 19-limit commas such as the [[Semitonisma]] and [[Sylvisma]]. Furthermore, this temperament tempers out the [[Rastma]], so it can be thought of as a very high-limit intersection of Compton and Rastmic. | ||
== Technical temperament data == | == Technical temperament data == | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7.11.13.17.19 | ||
[[Comma list]]: 729/728, 273/272, 153/152, 364/363, 1729/1728 | [[Comma list]]: 729/728, 273/272, 153/152, 364/363, 1729/1728 | ||
Revision as of 16:47, 9 August 2026
| Gunn |
Gunn temperament is a rank-3 temperament in the Compton family that tempers out 729/728, 273/272, 153/152, 364/363, and 1729/1728. This temperament is notable for acting as a high-limit map for 24edo or 72edo that maps out many interesting 19-limit commas such as the Semitonisma and Sylvisma. Furthermore, this temperament tempers out the Rastma, so it can be thought of as a very high-limit intersection of Compton and Rastmic.
Technical temperament data
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 729/728, 273/272, 153/152, 364/363, 1729/1728
Mapping: [⟨24 38 48 48 83 108 98 102], ⟨0 0 1 0 0 0 0 0], ⟨0 0 0 1 0 -1 0 0]]
- WE: ~33/32 = 50.030 ¢, ~5/4 = 384.859 ¢, ~7/4 = 965.679 ¢
- error map: ⟨+0.724 -0.809 -0.007 -1.700 +1.185 -2.949 -2.000 +5.563]
- CWE: ~33/32 = 50.000 ¢, ~5/4 = 384.837 ¢, ~7/4 = 965.136 ¢
- error map: ⟨-0.000 -1.955 -1.476 -3.690 -1.318 -5.663 -4.955 2.487]
Optimal ET sequence: 24p, 72, 48f, 24c, 24df, 48cf, 48d, 96d, 48cd, 24cdf
Badness (Sintel): 3.285