933edo

933 equal divisions of the octave (abbreviated 933edo or 933ed2), also called 933-tone equal temperament (933tet) or 933 equal temperament (933et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 933 equal parts of about 1.29 ¢ each. Each step represents a frequency ratio of 2^1/933, or the 933rd root of 2.

← 932edo

933edo

934edo →

Prime factorization	3 × 311
Step size	1.28617 ¢
Fifth	546\933 (702.251 ¢) (→ 182\311)
Semitones (A1:m2)	90:69 (115.8 ¢ : 88.75 ¢)
Consistency limit	3
Distinct consistency limit	3

As the triple of 311edo, 933edo offers some correction to primes like 17, but just like with 622edo its consistency limit is drastically reduced when compared to 311edo.

Prime harmonics

Approximation of prime harmonics in 933edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31	37
Error	Absolute (¢)	+0.000	+0.296	-0.462	-0.337	+0.451	+0.630	+0.511	-0.407	-0.622	-0.638	-0.341	-0.540
	Relative (%)	+0.0	+23.0	-35.9	-26.2	+35.0	+49.0	+39.7	-31.6	-48.3	-49.6	-26.5	-42.0
Steps (reduced)		933 (0)	1479 (546)	2166 (300)	2619 (753)	3228 (429)	3453 (654)	3814 (82)	3963 (231)	4220 (488)	4532 (800)	4622 (890)	4860 (195)

Todo: explain its xenharmonic value