94ed7/3

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94ed7/3

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Prime factorization	2 × 47
Step size	15.605¢
Octave	77\94ed7/3 (1201.59¢)
Twelfth	122\94ed7/3 (1903.81¢) (→61\47ed7/3)
Consistency limit	9
Distinct consistency limit	9

94 equal divisions of 7/3 (abbreviated 94ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 94 equal parts of about 15.6 ¢ each. Each step represents a frequency ratio of (7/3)^1/94, or the 94th root of 7/3.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	15.605
2	31.21
3	46.815	36/35, 37/36, 38/37, 39/38
4	62.42	28/27, 29/28
5	78.025	22/21, 23/22
6	93.63	19/18, 37/35, 39/37
7	109.235	16/15, 33/31
8	124.84	29/27
9	140.445	13/12, 38/35
10	156.05	23/21, 35/32
11	171.655	21/19, 32/29
12	187.26	29/26, 39/35
13	202.865	9/8
14	218.47	42/37
15	234.075
16	249.68	15/13, 37/32
17	265.285	7/6
18	280.89
19	296.495	19/16, 32/27
20	312.1
21	327.705	29/24, 35/29
22	343.31	39/32
23	358.915	16/13
24	374.52	36/29, 41/33
25	390.125
26	405.73	24/19, 43/34
27	421.335	37/29
28	436.94	9/7
29	452.545	13/10
30	468.15	21/16, 38/29
31	483.755	37/28, 41/31
32	499.36	4/3
33	514.965	31/23, 35/26, 39/29
34	530.57	19/14
35	546.175	37/27
36	561.78	18/13
37	577.385
38	592.99	31/22, 38/27
39	608.595	27/19, 37/26
40	624.2	33/23
41	639.805	42/29
42	655.41	19/13, 35/24
43	671.015	28/19
44	686.62
45	702.225	3/2
46	717.83
47	733.435	29/19
48	749.04	37/24
49	764.645	14/9
50	780.25	11/7
51	795.855	19/12
52	811.461	8/5
53	827.066	29/18
54	842.671	13/8
55	858.276	23/14
56	873.881
57	889.486
58	905.091	27/16, 32/19
59	920.696
60	936.301
61	951.906	26/15
62	967.511	7/4
63	983.116	37/21
64	998.721	16/9, 41/23
65	1014.326
66	1029.931	29/16
67	1045.536
68	1061.141	24/13
69	1076.746	41/22
70	1092.351
71	1107.956	36/19
72	1123.561
73	1139.166	27/14, 29/15
74	1154.771	37/19, 39/20
75	1170.376
76	1185.981
77	1201.586	2/1
78	1217.191
79	1232.796
80	1248.401	37/18
81	1264.006	27/13
82	1279.611	23/11
83	1295.216	19/9
84	1310.821	32/15
85	1326.426	28/13
86	1342.031
87	1357.636	35/16
88	1373.241	42/19
89	1388.846	29/13
90	1404.451	9/4
91	1420.056
92	1435.661
93	1451.266	37/16
94	1466.871	7/3

Harmonics

Approximation of harmonics in 94ed7/3

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1.59	+1.86	+3.17	+6.98	+3.44	+1.86	+4.76	+3.71	-7.04	-0.39	+5.03
	Relative (%)	+10.2	+11.9	+20.3	+44.7	+22.1	+11.9	+30.5	+23.8	-45.1	-2.5	+32.2
Steps (reduced)		77 (77)	122 (28)	154 (60)	179 (85)	199 (11)	216 (28)	231 (43)	244 (56)	255 (67)	266 (78)	276 (88)

Approximation of harmonics in 94ed7/3

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+6.90	+3.44	-6.77	+6.34	-4.98	+5.30	+5.33	-5.45	+3.71	+1.20	+2.27
	Relative (%)	+44.2	+22.1	-43.4	+40.6	-31.9	+34.0	+34.1	-34.9	+23.8	+7.7	+14.5
Steps (reduced)		285 (3)	293 (11)	300 (18)	308 (26)	314 (32)	321 (39)	327 (45)	332 (50)	338 (56)	343 (61)	348 (66)