46edf

← 45edf

46edf

47edf →

Prime factorization	2 × 23
Step size	15.2599 ¢
Octave	79\46edf (1205.53 ¢)
Twelfth	125\46edf (1907.49 ¢)
Consistency limit	3
Distinct consistency limit	3

46EDF is the equal division of the just perfect fifth into 46 parts of 15.2599 cents each, corresponding to 78.6375 edo (similar to every third step of 236edo).

Harmonics

Approximation of harmonics in 46edf

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+5.53	+5.53	-4.20	+6.25	-4.20	+3.61	+1.33	-4.20	-3.48	-0.63	+1.33
	Relative (%)	+36.2	+36.2	-27.5	+40.9	-27.5	+23.7	+8.7	-27.5	-22.8	-4.1	+8.7
Steps (reduced)		79 (33)	125 (33)	157 (19)	183 (45)	203 (19)	221 (37)	236 (6)	249 (19)	261 (31)	272 (42)	282 (6)

contd.

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+0.10	-6.12	-3.48	+6.87	-6.53	+1.33	-0.71	+2.05	-6.12	+4.90	+4.25
	Relative (%)	+0.7	-40.1	-22.8	+45.0	-42.8	+8.7	-4.6	+13.4	-40.1	+32.1	+27.8
Steps (reduced)		291 (15)	299 (23)	307 (31)	315 (39)	321 (45)	328 (6)	334 (12)	340 (18)	345 (23)	351 (29)	356 (34)

Intervals

degree	cents value	corresponding JI intervals	comments
0		exact 1/1
1	15.2599
2	30.5198
3	45.7797
4	61.0396	29/28
5	76.2995	93/89
6	91.55935	97/92
7	106.8192	84/79
8	122.0791	44/41
9	137.339
10	152.5989
11	167.8588
12	183.1187	10/9
13	198.3786	9/8
14	213.6385	43/38
15	228.8984	8/7
16	244.1583	38/33
17	259.41815	36/31, 79/68	lower pseudo-7/6
18	274.678	75/64	upper pseudo-7/6
19	289.9379	13/11
20	305.1978	31/26
21	320.4577	6/5
22	335.7176	17/14
23	350.9775	60/49, 49/40
24	366.2374	21/17
25	381.4973	5/4
26	396.7572	44/35, 83/66
27	412.0171	33/26
28	427.277	32/25
29	442.53685	31/24
30	457.7967	43/33
31	473.0566	46/35
32	488.3165	61/46
33	503.5764
34	518.8363	27/20
35	534.0962	64/47
36	549.3561
37	564.616
38	579.8759
39	595.1358
40	610.3957
41	625.6555
42	640.9154
43	656.1753	19/13
44	671.4352
45	686.6951
46	701.955	exact 3/2	just perfect fifth
47	717.2149
48	732.4748
49	737.7347
50	762.9946	14/9
51	778.2545
52	793.51435
53	808.7742	8/5
54	824.0341
55	839.294
56	854.5539
57	869.8138
58	885.0737	5/3
59	900.3336
60	915.5935
61	930.8534	12/7
62	946.1133
63	961.37315		lower pseudo-7/6
64	976.633		upper pseudo-7/6
65	991.8929	16/9
66	1007.1528
67	1022.4127	9/5
68	1037.6726
69	1052.9235
70	1068.1924	13/7
71	1083.4523	15/8
72	1098.7122
73	1113.9721
74	1129.232
75	1144.49185
76	1159.7517
77	1175.0116
78	1190.2715
79	1205.5314	2/1
80	1220.7913	81/40
81	1236.0512
82	1251.3111
83	1266.571
84	1281.8309
85	1297.0908
86	1312.35065	32/15
87	1327.61055	28/13
88	1342.8704
89	1358.1303
90	1373.3902
91	1388.6501	20/9
92	1403.91	exact 9/4