Trisected: Difference between revisions
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Complete infobox. Categorize |
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| Title = Trisected | | Title = Trisected | ||
| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | | Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | ||
| Comma basis = [[128/125]], [[1029/ | | Comma basis = [[128/125]], [[1029/1000]] (7-limit);<br>[[56/55]], [[128/125]], [[1029/1000]] (11-limit);<br>[[56/55]], [[91/90]], [[128/125]], [[1029/1000]] (13-limit) | ||
| Edo join 1 = 15 | Edo join 2 = 36 | | Edo join 1 = 15 | Edo join 2 = 36 | ||
| Mapping = 3; 3 0 -1 -1 7 | | Mapping = 3; 3 0 -1 -1 7 | ||
| Generators = | | Generators = 10/7 | ||
| Generators tuning = | | Generators tuning = 635.0 | ||
| Optimization method = CWE | | Optimization method = CWE | ||
| MOS scales = [[6L 9s]], [[15L 6s]], [[15L 21s]] | | MOS scales = [[6L 9s]], [[15L 6s]], [[15L 21s]] | ||
| Pergen = (P8/3, P5/3) | | Pergen = (P8/3, P5/3) | ||
| Odd limit 1 = 9 | Mistuning 1 = 16.1 | Complexity 1 = | | Odd limit 1 = 9 | Mistuning 1 = 16.1 | Complexity 1 = 36 | ||
| Odd limit 2 = 13-limit 21 | Mistuning 2 = 17.5 | Complexity 2 = | | Odd limit 2 = 13-limit 21 | Mistuning 2 = 17.5 | Complexity 2 = 36 | ||
}} | }} | ||
'''Trisected''' is the [[rank-2 temperament]] tempering out [[128/125]], [[1029/1000]], and [[1029/1024]] in the [[7-limit]], making it a member of the [[augmented family]], [[keegic temperaments]], and [[gamelismic clan]]. | '''Trisected''' is the [[rank-2 temperament]] tempering out [[128/125]], [[1029/1000]], and [[1029/1024]] in the [[7-limit]], making it a member of the [[augmented family]], [[keegic temperaments]], and [[gamelismic clan]]. | ||
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== Tunings == | == Tunings == | ||
{{Todo|complete section | {{Todo|complete section|inline=1}} | ||
{{Stub}} | {{Stub}} | ||
[[Category:Trisected| ]] <!-- main article --> | |||
[[Category:Rank-2 temperaments]] | |||
[[Category:Augmented family]] | |||
[[Category:Gamelismic clan]] | |||
[[Category:Keegic temperaments]] | |||
Revision as of 09:57, 19 March 2026
| Trisected |
56/55, 128/125, 1029/1000 (11-limit);
56/55, 91/90, 128/125, 1029/1000 (13-limit)
13-limit 21-odd-limit: 17.5 ¢
13-limit 21-odd-limit: 36 notes
Trisected is the rank-2 temperament tempering out 128/125, 1029/1000, and 1029/1024 in the 7-limit, making it a member of the augmented family, keegic temperaments, and gamelismic clan.
For technical data, see Augmented family #Trisected.
Intervals
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Todo: complete section |
Tunings
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Todo: complete section |
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