23edt
| ← 22edt | 23edt | 24edt → |
23EDT is the equal division of the third harmonic into 23 parts of 82.6937 cents each, corresponding to 14.5114 edo (similar to every second step of 29edo).
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +40.4 | +0.0 | +25.3 | +21.6 | -16.6 | +24.9 | -26.0 | +29.5 | +29.5 | -41.0 | +8.9 | +33.4 | +21.0 | +21.3 | +32.7 |
| Relative (%) | +48.9 | +0.0 | +30.6 | +26.1 | -20.1 | +30.1 | -31.5 | +35.7 | +35.7 | -49.6 | +10.8 | +40.4 | +25.5 | +25.7 | +39.5 | |
| Steps (reduced) |
15 (15) |
23 (0) |
34 (11) |
41 (18) |
50 (4) |
54 (8) |
59 (13) |
62 (16) |
66 (20) |
70 (1) |
72 (3) |
76 (7) |
78 (9) |
79 (10) |
81 (12) | |
| degree | cents value | hekts | corresponding JI intervals | comments |
|---|---|---|---|---|
| 0 | exact 1/1 | |||
| 1 | 82.6937 | 56.522 | 150/143 | |
| 2 | 165.3874 | 113.0435 | 11/10 | |
| 3 | 248.0811 | 169.565 | 15/13 | |
| 4 | 330.7748 | 226.087 | 23/19 | |
| 5 | 413.4685 | 282.609 | 33/26, 80/63 | |
| 6 | 496.1622 | 339.13 | (4/3) | |
| 7 | 578.8559 | 395.652 | 88/63, 95/68 | pseudo-7/5 |
| 8 | 661.5496 | 452.174 | 63/43 | |
| 9 | 744.2433 | 508.696 | 135/88 | |
| 10 | 826.937 | 565.217 | 50/31, 408/253, 129/80, 108/67 | |
| 11 | 909.6307 | 621.739 | (27/16) | pseudo-5/3 |
| 12 | 992.3243 | 678.261 | (16/9) | |
| 13 | 1075.018 | 734.783 | 93/50, 253/136, 80/43, 67/36 | |
| 14 | 1157.7117 | 791.304 | 88/45 | |
| 15 | 1240.4054 | 847.826 | 43/21 | |
| 16 | 1323.0991 | 904.348 | 189/88, 204/95 | |
| 17 | 1405.7928 | 960.87 | (9/4) | |
| 18 | 1488.4865 | 1017.391 | 26/11, 189/80 | pseudo-7/3 |
| 19 | 1571.1802 | 1073.913 | 57/23 | |
| 20 | 1653.8739 | 1130.435. | 13/5 | |
| 21 | 1736.5676 | 1186.9565 | 30/11 | |
| 22 | 1819.2613 | 1243.478 | 143/50 | |
| 23 | 1901.9550 | 1300 | exact 3/1 | just perfect fifth plus an octave |