383edo

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383edo

384edo →

Prime factorization	383 (prime)
Step size	3.13316 ¢
Fifth	224\383 (701.828 ¢)
Semitones (A1:m2)	36:29 (112.8 ¢ : 90.86 ¢)
Consistency limit	15
Distinct consistency limit	15

The 383 equal divisions of the octave (383edo), or the 383(-tone) equal temperament (383tet, 383et) when viewed from a regular temperament perspective, is the equal division of the octave into 383 parts of about 3.13 cents each.

Theory

383edo is distinctly consistent through the 15-odd-limit with a flat tendency. It tempers out 32805/32768 (schisma) in the 5-limit; 2401/2400 in the 7-limit; 6250/6237, 4000/3993 and 3025/3024 in the 11-limit; and 625/624, 1575/1573 and 2080/2079 in the 13-limit and it supports sesquiquartififths.

383edo is the 76th prime edo.

Regular temperament properties

Subgroup	Comma list	Mapping	Optimal 8ve stretch (¢)	Tuning error
				Absolute (¢)	Relative (%)
2.3	[-607 383⟩	[⟨383 607]]	+0.0402	0.0402	1.28
2.3.5	32805/32768, [-8 -55 41⟩	[⟨383 607 889]]	+0.1610	0.1741	5.55
2.3.5.7	2401/2400, 32805/32768, 68359375/68024448	[⟨383 607 889 1075]]	+0.1813	0.1548	4.94
2.3.5.7.11	2401/2400, 3025/3024, 4000/3993, 32805/32768	[⟨383 607 889 1075 1325]]	+0.1382	0.1631	5.20
2.3.5.7.11.13	625/624, 1575/1573, 2080/2079, 2401/2400, 10985/10976	[⟨383 607 889 1075 1325 1417]]	+0.1531	0.1525	4.87

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per octave	Generator (reduced)	Cents (reduced)	Associated ratio	Temperaments
1	56\383	175.46	448/405	Sesquiquartififths
1	133\373	416.71	14/11	Unthirds
1	159\383	498.17	4/3	Helmholtz