29edt
29EDT is the equal division of the third harmonic into 29 parts of 65.5847 cents each, corresponding to 18.2970 edo. It is related to the temperament which tempers out |145 -49 -29 > in the 5-limit; 703125/702464 and 26843545600/26795786661 in the 7-limit; 3025/3024, 131072/130977, and 759375/758912 in the 11-limit; 2080/2079, 4096/4095, 6656/6655, and 31250/31213 in the 13-limit, which is supported by 183edo, 311edo, and 494edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 65.5847 | 27/26 | |
| 2 | 131.1693 | ||
| 3 | 196.7540 | 28/25 | |
| 4 | 262.3386 | ||
| 5 | 327.9233 | ||
| 6 | 393.5079 | ||
| 7 | 459.0926 | ||
| 8 | 524.6772 | 65/48 | |
| 9 | 590.2619 | 45/32 | |
| 10 | 655.8466 | ||
| 11 | 721.4312 | ||
| 12 | 787.0159 | 63/40, 52/33 | |
| 13 | 852.6005 | 18/11 | |
| 14 | 918.1852 | ||
| 15 | 983.7698 | ||
| 16 | 1049.3545 | 11/6 | |
| 17 | 1114.9391 | 99/52, 40/21 | |
| 18 | 1180.5238 | ||
| 19 | 1246.1084 | ||
| 20 | 1311.6931 | 32/15 | |
| 21 | 1377.2778 | 144/65 | |
| 22 | 1442.8624 | ||
| 23 | 1508.4471 | ||
| 24 | 1574.0317 | ||
| 25 | 1639.6164 | ||
| 26 | 1705.2010 | 75/28 | |
| 27 | 1770.7857 | ||
| 28 | 1836.3703 | 26/9 | |
| 29 | 1901.9550 | exact 3/1 | just perfect fifth plus an octave |