443edo

← 442edo

443edo

444edo →

Prime factorization	443 (prime)
Step size	2.7088 ¢
Fifth	259\443 (701.58 ¢)
Semitones (A1:m2)	41:34 (111.1 ¢ : 92.1 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

443et tempers out 67108864/66976875, 6144/6125 and 32805/32768 in the 7-limit; 806736/805255, 35156250/35153041, 759375/758912, 131072/130977, 540/539, 184549376/184528125, 5632/5625, 8019/8000, 160083/160000, 391314/390625, 202397184/201768035, 3294225/3294172 and 20614528/20588575 in the 11-limit.

Prime harmonics

Approximation of prime harmonics in 443edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00	-0.37	+1.05	+0.93	+1.28	-0.80	+0.69	+0.46	+0.17	-0.23	+0.79
	Relative (%)	+0.0	-13.8	+38.6	+34.2	+47.2	-29.5	+25.4	+16.8	+6.2	-8.6	+29.1
Steps (reduced)		443 (0)	702 (259)	1029 (143)	1244 (358)	1533 (204)	1639 (310)	1811 (39)	1882 (110)	2004 (232)	2152 (380)	2195 (423)

Subsets and supersets

443edo is the 86th prime edo. 886edo, which doubles it, gives a good correction until the 11-limit.

Regular temperament properties

Subgroup	Comma List	Mapping	Optimal 8ve Stretch (¢)	Tuning Error
				Absolute (¢)	Relative (%)
2.3	[-702 443⟩	⟨443 702]	0.1183	0.1183	4.37

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator (reduced)	Cents (reduced)	Associated ratio	Temperaments
1	92\443	249.21	81/70	Hemischis (7-limit)

Music

Francium

• "Confusion" from HemischisMatic EP (2023) – Spotify | Bandcamp | YouTube – hemischis in 443edo tuning