36edf

36EDF is the equal division of the just perfect fifth into 36 parts of 19.49875 cents each, corresponding to 61.5424 edo.

← 35edf

36edf

37edf →

Prime factorization	22 × 32 (highly composite)
Step size	19.4988 ¢
Octave	62\36edf (1208.92 ¢) (→ 31\18edf)
Twelfth	98\36edf (1910.88 ¢) (→ 49\18edf)
Consistency limit	3
Distinct consistency limit	3

Harmonics

Approximation of harmonics in 36edf

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+8.92	+8.92	-1.65	+2.01	-1.65	+4.46	+7.27	-1.65	-8.57	+1.92	+7.27
	Relative (%)	+45.8	+45.8	-8.5	+10.3	-8.5	+22.9	+37.3	-8.5	-43.9	+9.8	+37.3
Steps (reduced)		62 (26)	98 (26)	123 (15)	143 (35)	159 (15)	173 (29)	185 (5)	195 (15)	204 (24)	213 (33)	221 (5)

Approximation of harmonics in 36edf

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+5.19	-6.12	-8.57	-3.31	+8.73	+7.27	-8.34	+0.35	-6.12	-8.66	-7.62
	Relative (%)	+26.6	-31.4	-43.9	-17.0	+44.8	+37.3	-42.8	+1.8	-31.4	-44.4	-39.1
Steps (reduced)		228 (12)	234 (18)	240 (24)	246 (30)	252 (0)	257 (5)	261 (9)	266 (14)	270 (18)	274 (22)	278 (26)

Intervals

Intervals in 36edf

degree	cents value	corresponding JI intervals	comments
0		exact 1/1
1	19.49875	90/89, 89/88
2	38.9975	45/44
3	58.49625	30/29
4	77.995
5	97.49375	73/69
6	116.9925
7	136.49125
8	155.99
9	175.48875	135/122
10	194.9875	272/243
11	214.48625	60/53
12	233.985	8/7
13	253.48375	22/19
14	272.9825	48/41
15	292.48125	32/27
16	311.98	6/5
17	331.47875	110/89
18	350.9775	11/9
19	370.47625
20	389.975	5/4
21	409.47375
22	428.9725	41/32
23	448.47125	57/44
24	467.97	38/29
25	487.46875	53/40
26	506.9675	243/181
27	526.46625	61/45
28	545.965
29	565.46375
30	584.9625
31	604.46125	24/17
32	623.96
33	643.45875	29/20
34	662.9575	22/15
35	682.45625	40/27
36	701.955	exact 3/2	just perfect fifth
37	721.45375	135/89, 267/176
38	740.4525	135/88
39	760.45125	42/59
40	779.95
41	799.44875	73/46
42	818.9475
43	838.44625
44	857.945
45	877.44375	405/244
46	896.9425	136/81
47	916.44125	90/53
48	935.94	12/7
49	955.43875	33/19
50	974.9375	72/41
51	996.43625	16/9
52	1013.935	9/5
53	1032.43375	165/89
54	1052.9325	11/6
55	1072.43125
56	1091.93	15/8
57	1110.92875
58	1130.9275	123/64
59	1150.92625	171/88
60	1169.925	57/29
61	1189.42375	159/80
62	1208.9225	729/362
63	1228.42125	61/30
64	1247.92
65	1267.41875
66	1286.9175
67	1306.41625	36/17
68	1325.915
69	1345.41375	87/40
70	1364.9125	11/5
71	1384.41125	20/9
72	1403.91	exact 9/4