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	Hekts	Approximate ratios
0	0	0	1/1
1	25.4	17.3
2	50.7	34.7
3	76.1	52	23/22
4	101.4	69.3	18/17, 35/33
5	126.8	86.7	14/13, 29/27
6	152.2	104
7	177.5	121.3	31/28
8	202.9	138.7
9	228.2	156
10	253.6	173.3	22/19, 29/25
11	279	190.7	20/17, 27/23
12	304.3	208	25/21, 31/26
13	329.7	225.3	23/19
14	355	242.7	27/22, 38/31
15	380.4	260
16	405.8	277.3
17	431.1	294.7
18	456.5	312	13/10
19	481.8	329.3	33/25
20	507.2	346.7
21	532.5	364
22	557.9	381.3	29/21
23	583.3	398.7	7/5
24	608.6	416	27/19
25	634	433.3	13/9
26	659.3	450.7	19/13
27	684.7	468
28	710.1	485.3
29	735.4	502.7	26/17, 29/19
30	760.8	520	31/20
31	786.1	537.3
32	811.5	554.7
33	836.9	572
34	862.2	589.3	23/14, 28/17
35	887.6	606.7	5/3
36	912.9	624	22/13
37	938.3	641.3	31/18
38	963.7	658.7
39	989	676	23/13
40	1014.4	693.3	9/5
41	1039.7	710.7	31/17
42	1065.1	728
43	1090.5	745.3
44	1115.8	762.7
45	1141.2	780	29/15
46	1166.5	797.3
47	1191.9	814.7
48	1217.3	832
49	1242.6	849.3
50	1268	866.7	27/13
51	1293.3	884	19/9
52	1318.7	901.3	15/7
53	1344	918.7
54	1369.4	936
55	1394.8	953.3	38/17
56	1420.1	970.7	25/11
57	1445.5	988	30/13
58	1470.8	1005.3
59	1496.2	1022.7
60	1521.6	1040
61	1546.9	1057.3	22/9
62	1572.3	1074.7
63	1597.6	1092
64	1623	1109.3	23/9
65	1648.4	1126.7
66	1673.7	1144
67	1699.1	1161.3
68	1724.4	1178.7
69	1749.8	1196
70	1775.2	1213.3
71	1800.5	1230.7	17/6
72	1825.9	1248
73	1851.2	1265.3
74	1876.6	1282.7
75	1902	1300	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)