848edo

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← 847edo

848edo

849edo →

Prime factorization	24 × 53
Step size	1.41509 ¢
Fifth	496\848 (701.887 ¢) (→ 31\53)
Semitones (A1:m2)	80:64 (113.2 ¢ : 90.57 ¢)
Consistency limit	15
Distinct consistency limit	15

848edo is consistent in the 15-odd-limit and contains the famous 53edo as a subset. In the 5-limit, it is a very strong system, which tempers out the Mercator's comma. It also tunes kwazy and provides the optimal patent val for the geb temperament.

In higher limits, it is a strong 2.3.5.13.23 system.

Prime harmonics

Approximation of prime harmonics in 848edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.068	+0.007	+0.514	+0.569	+0.038	-0.238	-0.343	+0.028	+0.611	-0.224
	Relative (%)	+0.0	-4.8	+0.5	+36.3	+40.2	+2.7	-16.8	-24.3	+1.9	+43.2	-15.8
Steps (reduced)		848 (0)	1344 (496)	1969 (273)	2381 (685)	2934 (390)	3138 (594)	3466 (74)	3602 (210)	3836 (444)	4120 (728)	4201 (809)