4973edo

← 4972edo

4973edo

4974edo →

Prime factorization	4973 (prime)
Step size	0.241303 ¢
Fifth	2909\4973 (701.951 ¢)
Semitones (A1:m2)	471:374 (113.7 ¢ : 90.25 ¢)
Consistency limit	11
Distinct consistency limit	11

4973 equal divisions of the octave (abbreviated 4973edo or 4973ed2), also called 4973-tone equal temperament (4973tet) or 4973 equal temperament (4973et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 4973 equal parts of about 0.241 ¢ each. Each step represents a frequency ratio of 2^1/4973, or the 4973rd root of 2.

4973edo is a very strong 7-limit system: it tempers out the unnoticeable comma [1 -15 -18 23⟩ and supports a number of very high accuracy 7-limit rank-3 temperaments. In the 5-limit it supports whoosh, the 441 & 730 temperament. It is a zeta peak integer edo. It also does well in the 2.3.5.7.17.19 subgroup.

Prime harmonics

Approximation of prime harmonics in 4973edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.004	+0.012	+0.006	+0.059	-0.069	+0.011	+0.014	+0.079	+0.063	-0.053
	Relative (%)	+0.0	-1.9	+5.2	+2.4	+24.7	-28.7	+4.7	+5.6	+32.6	+26.1	-21.8
Steps (reduced)		4973 (0)	7882 (2909)	11547 (1601)	13961 (4015)	17204 (2285)	18402 (3483)	20327 (435)	21125 (1233)	22496 (2604)	24159 (4267)	24637 (4745)