12ed12/5

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Revision as of 01:51, 23 May 2023 by CompactStar (talk | contribs) (Created page with "{{Infobox ET}} ''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the classic minor tenth (12/5) into a number of equal steps. == Tempe...")
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← 11ed12/5 12ed12/5 13ed12/5 →
Prime factorization 22 × 3 (highly composite)
Step size 126.303 ¢ 
Octave 10\12ed12/5 (1263.03 ¢) (→ 5\6ed12/5)
Twelfth 15\12ed12/5 (1894.55 ¢) (→ 5\4ed12/5)
Consistency limit 2
Distinct consistency limit 2

12 equal divisions of 12/5' (12ed12/5) is the tuning system that divides the classic minor tenth (12/5) into a number of equal steps.

Temperaments

12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, the 12/5, 5/3, and 4/3 in this temperament are very close to stretched 2/1, 3/2, and 5/4, so the MOS scales and ETs supported by macro-meantone are mostly the same as meantone, but with everything now having a period of 12/5 instead of 2/1.