94edt

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94edt

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Prime factorization	2 × 47
Step size	20.2336¢
Octave	59\94edt (1193.78¢)
Consistency limit	2
Distinct consistency limit	2

94 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 94edt or 94ed3), is a nonoctave tuning system that divides the interval of 3/1 into 94 equal parts of about 20.2 ¢ each. Each step represents a frequency ratio of 3^1/94, or the 94th root of 3.

Intervals

Steps	Cents	Approximate Ratios
0	0	1/1
1	20.234
2	40.467
3	60.701	30/29
4	80.934	22/21, 43/41
5	101.168	18/17, 35/33
6	121.401	29/27
7	141.635	38/35
8	161.869
9	182.102	10/9
10	202.336
11	222.569	33/29
12	242.803	23/20, 38/33
13	263.036
14	283.27	20/17
15	303.503
16	323.737	35/29
17	343.971
18	364.204	21/17, 37/30
19	384.438
20	404.671
21	424.905	23/18
22	445.138	22/17
23	465.372	17/13, 38/29
24	485.606	41/31
25	505.839
26	526.073
27	546.306	37/27
28	566.54	43/31
29	586.773
30	607.007	27/19
31	627.24	33/23
32	647.474
33	667.708
34	687.941
35	708.175
36	728.408	35/23
37	748.642
38	768.875
39	789.109	30/19
40	809.343
41	829.576	21/13
42	849.81	31/19
43	870.043	38/23
44	890.277
45	910.51	22/13
46	930.744	12/7
47	950.978
48	971.211	7/4
49	991.445	39/22
50	1011.678
51	1031.912
52	1052.145
53	1072.379	13/7
54	1092.612
55	1112.846	19/10
56	1133.08
57	1153.313	35/18, 37/19
58	1173.547
59	1193.78
60	1214.014
61	1234.247
62	1254.481	31/15
63	1274.715	23/11
64	1294.948	19/9
65	1315.182
66	1335.415
67	1355.649
68	1375.882
69	1396.116
70	1416.349	43/19
71	1436.583	39/17
72	1456.817
73	1477.05
74	1497.284
75	1517.517
76	1537.751	17/7
77	1557.984
78	1578.218
79	1598.452
80	1618.685
81	1638.919
82	1659.152
83	1679.386	29/11
84	1699.619
85	1719.853	27/10
86	1740.086	41/15
87	1760.32
88	1780.554
89	1800.787	17/6
90	1821.021	43/15
91	1841.254	29/10
92	1861.488
93	1881.721
94	1901.955	3/1

Harmonics

Approximation of harmonics in 94edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-6.22	+0.00	+7.79	+5.92	-6.22	-10.05	+1.57	+0.00	-0.30	-3.44	+7.79
	Relative (%)	-30.7	+0.0	+38.5	+29.2	-30.7	-49.7	+7.8	+0.0	-1.5	-17.0	+38.5
Steps (reduced)		59 (59)	94 (0)	119 (25)	138 (44)	153 (59)	166 (72)	178 (84)	188 (0)	197 (9)	205 (17)	213 (25)

Approximation of harmonics in 94edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-9.38	+3.96	+5.92	-4.65	-8.43	-6.22	+1.35	-6.52	-10.05	-9.66	-5.68
	Relative (%)	-46.3	+19.6	+29.2	-23.0	-41.7	-30.7	+6.6	-32.2	-49.7	-47.7	-28.1
Steps (reduced)		219 (31)	226 (38)	232 (44)	237 (49)	242 (54)	247 (59)	252 (64)	256 (68)	260 (72)	264 (76)	268 (80)