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		exact 1/1
1	15.9535
2	31.907
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	175.48875	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	6/5
21	335.024
22	350.9775	60/49, 49/40
23	366.931
24	382.8845	5/4
25	398.8381	34/27
26	414.7916	14/11
27	430.7451	9/7
28	446.6986	22/17
29	462.6522
30	478.6057
31	494.5592	4/3
32	510.5127
33	526.46625	42/31, 27/20
34	542.4198
35	558.3733
36	574.3268
37	590.2803	45/32
38	606.2339
39	622.1874	63/44
40	638.1409	81/56
41	654.0944
42	670.048
43	686.0015	40/27
44	701.955	exact 3/2	just perfect fifth
45	717.8985	243/160
46	733.862
47	749.8156
48	765.7691	14/9
49	781.7226	11/7
50	797.6761
51	813.6297	8/5
52	829.5832
53	845.5367
54	861.4902
55	877.44375	5/3
56	893.3973
57	909.3508	27/16
58	925.3043
59	941.2578
60	957.2184	153/88
61	973.1649	7/4
62	989.1184	99/56
63	1005.0719	243/136
64	1021.0255	9/5
65	1036.979
66	1052.9325
67	1068.886	13/7
68	1084.89355	15/8
69	1100.7931
70	1116.7466
71	1132.7001
72	1148.6536
73	1164.9072
74	1180.5607	160/81
75	1196.5142	2/1
76	1212.4677
77	1228.42125
78	1244.3748
79	1260.3283
80	1276.2818
81	1292.2353
82	1308.1889
83	1324.1424
84	1340.0959
85	1356.0494
86	1372.003
87	1387.9565	20/9
88	1403.91	exact 9/4

Related regular temperaments

5-limit 677&1053

Comma: |183 -51 -44>

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

Mapping: [<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

Mapping: [<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

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

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