# 2100edo

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Prime factorization
2
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

← 2099edo | 2100edo | 2101edo → |

^{2}× 3 × 5^{2}× 7The **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.