2964edo

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← 2963edo

2964edo

2965edo →

Prime factorization	22 × 3 × 13 × 19
Step size	0.404858 ¢
Fifth	1734\2964 (702.024 ¢) (→ 289\494)
Semitones (A1:m2)	282:222 (114.2 ¢ : 89.88 ¢)
Consistency limit	7
Distinct consistency limit	7

The 2964 equal divisions of the octave (2964edo), or the 2964(-tone) equal temperament (2964tet, 2964et) when viewed from a regular temperament perspective, divides the octave into 2964 equal parts of about 0.4048583 cents each.

Theory

In the 13-limit, 2964edo shares the same patent val than 494edo excepting for the 7th harmonic, which is corrected in an extremely precise way (absolute error 0.00000446 cents, relative error 0.0011%).

Prime harmonics

Approximation of prime harmonics in 2964edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.069	-0.079	+0.000	+0.099	-0.042	-0.097	+0.058	+0.066	-0.023	-0.096
	Relative (%)	+0.0	+17.1	-19.5	+0.0	+24.5	-10.3	-24.0	+14.3	+16.2	-5.6	-23.8
Steps (reduced)		2964 (0)	4698 (1734)	6882 (954)	8321 (2393)	10254 (1362)	10968 (2076)	12115 (259)	12591 (735)	13408 (1552)	14399 (2543)	14684 (2828)

Miscellaneous properties

Since 2964 = 6 × 494, 2964edo contains 494edo as a subset.