Trisected: Difference between revisions

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'''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]].
For technical data, see [[Augmented family #Trisected]].


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Revision as of 04:59, 19 March 2026

Trisected
Subgroups 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
Comma basis 128/125, 1029/1024 (7-limit);
56/55, 128/125, 1029/1000 (11-limit);
56/55, 91/90, 128/125, 1029/1000 (13-limit)
Reduced mapping ⟨3; 3 0 -1 -1 7]
ET join 15 & 36
Generators (CWE) ~8/7 = 235.0 ¢
MOS scales 6L 9s, 15L 6s, 15L 21s
Ploidacot triploid tricot
Pergen (P8/3, P5/3)
Minimax error 9-odd-limit: 16.1 ¢;
13-limit 21-odd-limit: 17.5 ¢
Target scale size 9-odd-limit: notes;
13-limit 21-odd-limit: 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

Todo: complete section

Tunings

Todo: complete section, categorize
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