379edo

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379edo

380edo →

Prime factorization	379 (prime)
Step size	3.16623 ¢
Fifth	222\379 (702.902 ¢)
Semitones (A1:m2)	38:27 (120.3 ¢ : 85.49 ¢)
Consistency limit	7
Distinct consistency limit	7

Theory

379 tempers out 4096000/4084101, 5120/5103 and 2401/2400 in the 7-limit; 2097152/2096325, 1953125/1951488, 6250/6237, 42875/42768, 5767168/5764801, 180224/180075, 5632/5625, 537109375/536870912, 422576/421875, 9453125/9437184, 166375/165888, 67110351/67108864, 3294225/3294172, 43923/43904, 102487/102400, 20614528/20588575, 644204/643125 and 781258401/781250000 in the 11-limit. It provides the optimal patent val for the subneutral temperament. 379edo is the 75th prime edo.

Approximation of odd harmonics in 379edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.95	-0.03	+0.04	-1.27	-0.39	-1.48	+0.91	-0.47	+0.11	+0.99	-1.36
	Relative (%)	+29.9	-1.1	+1.2	-40.2	-12.5	-46.7	+28.8	-14.8	+3.5	+31.2	-43.0
Steps (reduced)		601 (222)	880 (122)	1064 (306)	1201 (64)	1311 (174)	1402 (265)	1481 (344)	1549 (33)	1610 (94)	1665 (149)	1714 (198)

Regular temperament properties

Subgroup	Comma List	Mapping	Optimal 8ve Stretch (¢)	Tuning Error
				Absolute (¢)	Relative (%)
2.3	[601 -379⟩	⟨379 601]	-0.2989	0.2988	9.43
2.3.5	[35 -25 2⟩, [38 -2 -15⟩	⟨379​ 601 ​880]	-0.1944	0.2852	9.01
2.3.5.7	5120/5103, 2401/2400, [-23 -11 15 2⟩	⟨379​ 601​ 880​ 1064​]	-0.1493	0.2591	8.18
2.3.5.7.11	5120/5103, 5632/5625, 2401/2400, 166375/165888	⟨379 ​601 ​880​ 1064 ​1311​]	-0.0967	0.2545	8.04
2.3.5.7.11.13	325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655	⟨379 ​601 ​880​ 1064 ​1311​ 1402]	-0.014	0.2969	9.38

Rank-2 temperaments

Table of rank-2 temperaments by generator

Periods per 8ve	Generator (reduced)	Cents (reduced)	Associated ratio	Temperaments
1	110\379	348.28	57344/46875	Subneutral

Scales

• Subneutral31

Music

• Subneutral Funk by Francium