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)

In the patent val, it is good in the no-11s 17-limit, a property which it shares with 323edo. As such, a 2.3.5.7.13.17 temperament can be created by merging 323 & 2023, which gives the comma basis {57375/57344, 111537/111475, 4860000/4857223, 340075827/340000000}. It is also period-17, and maps the period to 25/24, which means septendecima is also tempered out.

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.