1448edo

← 1447edo

1448edo

1449edo →

Prime factorization	23 × 181
Step size	0.828729 ¢
Fifth	847\1448 (701.934 ¢)
Semitones (A1:m2)	137:109 (113.5 ¢ : 90.33 ¢)
Consistency limit	15
Distinct consistency limit	15

The 1448edo is a strong 13-limit system, and it is an excellent 2.3.5.7.11.13.19.23 subgroup system. It is a zeta peak edo, and provides the optimal patent val for donar. A basis for the 13-limit commas is {3025/3024, 4225/4224, 4375/4374, 140625/140608, 823680/823543}.

Prime harmonics

Approximation of prime harmonics in 1448edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.021	-0.126	-0.041	-0.213	-0.196	+0.293	+0.001	-0.098	-0.295	+0.268
	Relative (%)	+0.0	-2.6	-15.2	-5.0	-25.7	-23.7	+35.4	+0.1	-11.8	-35.6	+32.4
Steps (reduced)		1448 (0)	2295 (847)	3362 (466)	4065 (1169)	5009 (665)	5358 (1014)	5919 (127)	6151 (359)	6550 (758)	7034 (1242)	7174 (1382)

Subsets and supersets

Since 1448 factors into 2³ × 181, it has subset edos 2, 4, 8, 181, 362, and 724.