2100edo

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← 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

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.