2023edo

← 2022edo

2023edo

2024edo →

Prime factorization	7 × 172
Step size	0.593178 ¢
Fifth	1183\2023 (701.73 ¢) (→ 169\289)
Semitones (A1:m2)	189:154 (112.1 ¢ : 91.35 ¢)
Dual sharp fifth	1184\2023 (702.323 ¢)
Dual flat fifth	1183\2023 (701.73 ¢) (→ 169\289)
Dual major 2nd	344\2023 (204.053 ¢)
Consistency limit	7
Distinct consistency limit	7

Theory

Approximation of odd harmonics in 2023edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.225	-0.155	-0.166	+0.143	-0.255	+0.006	+0.214	+0.037	+0.263	+0.203	-0.098
	Relative (%)	-37.9	-26.1	-27.9	+24.2	-43.0	+1.0	+36.0	+6.3	+44.3	+34.2	-16.6
Steps (reduced)		3206 (1183)	4697 (651)	5679 (1633)	6413 (344)	6998 (929)	7486 (1417)	7904 (1835)	8269 (177)	8594 (502)	8886 (794)	9151 (1059)

First 7 primes with less than 1 standard deviation error in 2023edo are: 2, 13, 17, 23, 47, 61, 71.

In the 2023e val, it supports the altierran rank-3 temperament tempering out the schisma and the quartisma.

The divisors of 2023 are 1, 7, 17, 119, 289. It factors as 7 * 17².