2023edo
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Prime factorization
7 × 172
Step size
0.593178¢
Fifth
1183\2023 (701.73¢) (→169\289)
Semitones (A1:m2)
189:154 (112.1¢ : 91.35¢)
Sharp fifth
1184\2023 (702.323¢)
Flat fifth
1183\2023 (701.73¢) (→169\289)
Major 2nd
344\2023 (204.053¢)
Consistency limit
7
Distinct consistency limit
7
| ← 2022edo | 2023edo | 2024edo → |
2023 equal divisions of the octave (2023edo), or 2023-tone equal temperament (2023tet), 2023 equal temperament (2023et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 2023 equal parts of about 0.593 ¢ each.
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -0.225 | -0.155 | -0.166 | +0.143 | -0.255 | +0.006 | +0.214 | +0.037 | +0.263 | +0.203 |
| relative (%) | -38 | -26 | -28 | +24 | -43 | +1 | +36 | +6 | +44 | +34 | |
| Steps (reduced) |
3206 (1183) |
4697 (651) |
5679 (1633) |
6413 (344) |
6998 (929) |
7486 (1417) |
7904 (1835) |
8269 (177) |
8594 (502) |
8886 (794) | |
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.