44edf

44EDF is the equal division of the just perfect fifth into 44 parts of 15.9535 cents each, corresponding to 75.2185 edo. It is related to the regular temperament which tempers out |183 -51 -44> in the 5-limit, which is supported by 301, 376, 677, 1053, 1429, 1730, 2407, and 2783 EDOs.

Intervals

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	15.9535
2	31.9070
3	47.8606
4	63.8141
5	79.7676	22/21
6	95.7211	37/35
7	111.6747	16/15
8	127.6282	14/13
9	143.5817	25/23
10	159.5352	34/31
11	175.4888	31/28
12	191.4423	19/17
13	207.3958	62/55
14	223.3493	33/29
15	239.3028	31/27
16	255.2564	51/44
17	271.2099	62/53
18	287.1634
19	303.1169	81/68
20	319.0705	101/84
21	335.0240
22	350.9775	60/49, 49/40
23	366.9310
24	382.8845	126/101
25	398.8381	34/27
26	414.7916
27	430.7451
28	446.6986	22/17
29	462.6522
30	478.6057
31	494.5592
32	510.5127
33	526.4663	42/31
34	542.4198
35	558.3733
36	574.3268
37	590.2803	45/32
38	606.2339
39	622.1874
40	638.1409
41	654.0944
42	670.0480
43	686.0015
44	701.9550	exact 3/2	just perfect fifth

Related regular temperaments

5-limit 677&1053

Comma: |183 -51 -44>

POTE generator: ~|-104 29 25> = 15.9540

Map: [<1 1 3|, <0 44 -51|]

EDOs: 75, 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3836

2.3.5.11 677&1053

Commas: 184549376/184528125, 38084983750656/38060880859375

POTE generator: ~|-104 29 25> = 15.9535

Map: [<1 1 3 1|, <0 44 -51 185|]

EDOs: 301, 376, 677, 978, 1053, 1429, 1730, 2407, 2783, 3084

13-limit 677&1053

Commas: 6656/6655, 184549376/184528125, 1162261467/1161875000

POTE generator: ~|-104 29 25> = 15.9540

Map: [<1 1 3 1 -3|, <0 44 -51 185 504|]

EDOs: 677, 1053, 1730, 2407, 3084, 4137