2100edo

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← 2099edo2100edo2101edo →
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¢)
Sharp fifth 1229\2100 (702.286¢)
Flat fifth 1228\2100 (701.714¢) (→307\525)
Major 2nd 357\2100 (204¢) (→17\100)
Consistency limit 7
Distinct consistency limit 7

The 2100 equal division divides the octave into 2100 parts of precisely 4/7 cents (0.5714 cents) each. 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.