437edo

← 436edo

437edo

438edo →

Prime factorization	19 × 23
Step size	2.746 ¢
Fifth	256\437 (702.975 ¢)
Semitones (A1:m2)	44:31 (120.8 ¢ : 85.13 ¢)
Dual sharp fifth	256\437 (702.975 ¢)
Dual flat fifth	255\437 (700.229 ¢)
Dual major 2nd	74\437 (203.204 ¢)
Consistency limit	7
Distinct consistency limit	7

Theory

437et tempers out 4096000/4084101 and 2401/2400 in the 7-limit; 25165824/25109315, 1835008/1830125, 2621440/2614689, 16384/16335, 151263/151250, 107495424/107421875, 1953125/1948617, 3025/3024, 41503/41472, 766656/765625, 391314/390625, 20614528/20588575 and 644204/643125 in the 11-limit.

Odd harmonics

Approximation of odd harmonics in 437edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+1.02	+0.87	+0.51	-0.71	+0.63	-0.25	-0.85	-0.61	-0.95	-1.22	+0.56
	Relative (%)	+37.1	+31.7	+18.6	-25.7	+22.8	-9.2	-31.1	-22.1	-34.4	-44.3	+20.3
Steps (reduced)		693 (256)	1015 (141)	1227 (353)	1385 (74)	1512 (201)	1617 (306)	1707 (396)	1786 (38)	1856 (108)	1919 (171)	1977 (229)

Subsets and supersets

437 factors into 19 × 23 with its subset edos 19, and 23. 874edo, which doubles it, gives a good correction to the harmonic 3.

Regular temperament properties

Subgroup	Comma List	Mapping	Optimal 8ve Stretch (¢)	Tuning Error
				Absolute (¢)	Relative (%)
2.9	[-1385 437⟩	⟨437 1385]	0.1114	0.1114	4.06

Scales

• Namo7
• Namo10
• Namo17