2100edo
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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
| ← 2099edo | 2100edo | 2101edo → |
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.