75edt

← 74edt

75edt

76edt →

Prime factorization	3 × 52
Step size	25.3594¢
Octave	47\75edt (1191.89¢)
Consistency limit	2
Distinct consistency limit	2

75EDT is the equal division of the third harmonic into 75 parts of 25.3594 cents each, corresponding to 47.3197 edo. It is related to the 7-limit temperament which tempers out 2401/2400 and |-130 138 -37 -1>, which is supported by 284edo, 1183edo, 1467edo, and 2650edo among others.

75EDT is the 14th no-twos zeta peak EDT.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	25.4
2	50.7
3	76.1	23/22
4	101.4	18/17, 35/33
5	126.8	14/13, 29/27
6	152.2
7	177.5	31/28
8	202.9
9	228.2
10	253.6	22/19, 29/25
11	279	20/17, 27/23
12	304.3	25/21, 31/26
13	329.7	23/19
14	355	27/22, 38/31
15	380.4
16	405.8
17	431.1
18	456.5	13/10
19	481.8	33/25
20	507.2
21	532.5
22	557.9	29/21
23	583.3	7/5
24	608.6	27/19
25	634	13/9
26	659.3	19/13
27	684.7
28	710.1
29	735.4	26/17, 29/19
30	760.8	31/20
31	786.1
32	811.5
33	836.9
34	862.2	23/14, 28/17
35	887.6	5/3
36	912.9	22/13
37	938.3	31/18
38	963.7
39	989	23/13
40	1014.4	9/5
41	1039.7	31/17
42	1065.1
43	1090.5
44	1115.8
45	1141.2	29/15
46	1166.5
47	1191.9
48	1217.3
49	1242.6
50	1268	27/13
51	1293.3	19/9
52	1318.7	15/7
53	1344
54	1369.4
55	1394.8	38/17
56	1420.1	25/11
57	1445.5	30/13
58	1470.8
59	1496.2
60	1521.6
61	1546.9	22/9
62	1572.3
63	1597.6
64	1623	23/9
65	1648.4
66	1673.7
67	1699.1
68	1724.4
69	1749.8
70	1775.2
71	1800.5	17/6
72	1825.9
73	1851.2
74	1876.6
75	1902	3/1

Harmonics

Approximation of prime harmonics in 75edt

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	-8.1	+0.0	+3.2	+4.0	+7.6	-2.6	-10.6	-0.3	-1.4	+3.1	-10.9
	Relative (%)	-32.0	+0.0	+12.7	+15.7	+30.1	-10.4	-41.8	-1.1	-5.4	+12.2	-43.1
Steps (reduced)		47 (47)	75 (0)	110 (35)	133 (58)	164 (14)	175 (25)	193 (43)	201 (51)	214 (64)	230 (5)	234 (9)

Approximation of prime harmonics in 75edt

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+12.4	+12.2	+5.8	+4.0	-1.1	-9.3	+9.1	-1.2	-0.1	+2.5	-7.4
	Relative (%)	+49.0	+48.2	+23.1	+15.8	-4.4	-36.5	+35.9	-4.6	-0.4	+9.9	-29.3
Steps (reduced)		247 (22)	254 (29)	257 (32)	263 (38)	271 (46)	278 (53)	281 (56)	287 (62)	291 (66)	293 (68)	298 (73)