2100edo

Revision as of 13:28, 15 October 2023 by FloraC (talk | contribs) (Cleanup)
← 2099edo 2100edo 2101edo →
Prime factorization 22 × 3 × 52 × 7
Step size 0.571429 ¢ 
Fifth 1228\2100 (701.714 ¢) (→ 307\525)
Semitones (A1:m2) 196:160 (112 ¢ : 91.43 ¢)
Dual sharp fifth 1229\2100 (702.286 ¢)
Dual flat fifth 1228\2100 (701.714 ¢) (→ 307\525)
Dual major 2nd 357\2100 (204 ¢) (→ 17\100)
Consistency limit 7
Distinct consistency limit 7

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The patent val tempers out 32805/32768 in the 5-limit and 2401/2400 in the 7-limit, and thereby provides an excellent tuning for 5-limit schismatic aka helmholtz temperament, and the 7-limit sesquiquartififths temperament. As with any equal division of this size, it supports a number of possible meantone tunings, but 2100 3319 4876 5890] is notable for being nearly identical to quarter-comma meantone.