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 regular temperament 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	64/51
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	153/64
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

Related regular temperament

5-limit 183&311

Comma: |145 -49 -29>

POTE generator: 65.585

Map: [<1 0 5|, <0 29 -49|]

EDOs: 183, 311, 494, 677, 860, 1171, 1665, 1848, 2159, 2836, 3019, 4007

Badness: 0.1949

7-limit 183&311

Commas: 703125/702464, 26843545600/26795786661

POTE generator: ~8505/8192 = 65.588

Map: [<1 0 5 8|, <0 29 -49 -95|]

EDOs: 128, 183, 311, 494, 677, 805, 1116, 1299

Badness: 0.1348

11-limit 183&311

Commas: 3025/3024, 131072/130977, 703125/702464

POTE generator: ~80/77 = 65.588

Map: [<1 0 5 8 1|, <0 29 -49 -95 45|]

EDOs: 128, 183, 311, 494, 677, 805, 1299

Badness: 0.0328

13-limit 183&311

Commas: 2080/2079, 3025/3024, 4096/4095, 31250/31213

POTE generator: ~27/26 = 65.588

Map: [<1 0 5 8 1 -1|, <0 29 -49 -95 45 86|]

EDOs: 128, 183, 311, 494, 677, 805, 1299

Badness: 0.0168

17-limit 183&311

Commas: 1156/1155, 1275/1274, 2080/2079, 2431/2430, 4096/4095

POTE generator: ~27/26 = 65.588

Map: [<1 0 5 8 1 -1 6|, <0 29 -49 -95 45 86 -35|]

EDOs: 128, 183, 311, 494, 677, 805

Badness: 0.0147