Kleismic: Difference between revisions

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'''Kleismic''' is a high-accuracy 2.3.5 temperament that equates a stack of six 6/5 minor thirds to one 3/1. Via a [[canonical extension|structurally induced]] extension to 2.3.5.13, it equates three 6/5's to one semitwelfth [[26/15]].
'''Kleismic''' is a high-accuracy 2.3.5 temperament that equates a stack of six 6/5 minor thirds to one 3/1. Via a [[canonical extension|structurally induced]] extension to 2.3.5.13, it equates three 6/5's to one semitwelfth [[26/15]] and equates 25/24 to 26/25 and 27/26.




{{cat|Temperaments}}{{Navbox regtemp}}
{{cat|Temperaments}}{{Navbox regtemp}}

Revision as of 21:04, 24 February 2026

Kleismic
Subgroups 2.3.5, 2.3.5.13
Reduced mapping ⟨1; 6 5 14]
ET join 15 & 19
Generators (CWE) ~6/5 = 317.1¢
MOS scales 3L 1s, 4L 3s, 4L 7s, 4L 11s, 15L 4s
Ploidacot alpha-hexacot
Comma basis 15625/15552 (2.3.5);
325/324, 625/624 (2.3.5.13)
Minimax error 5-odd-limit: 1.35¢;
2.3.5.13 15-odd-limit: 2.35¢
Target scale size 5-odd-limit: 7 notes;
2.3.5.13 15-odd-limit: 15 notes

Kleismic is a high-accuracy 2.3.5 temperament that equates a stack of six 6/5 minor thirds to one 3/1. Via a structurally induced extension to 2.3.5.13, it equates three 6/5's to one semitwelfth 26/15 and equates 25/24 to 26/25 and 27/26.