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	20.2
2	40.5
3	60.7	30/29
4	80.9	22/21, 43/41
5	101.2	18/17, 35/33
6	121.4	29/27
7	141.6	38/35
8	161.9
9	182.1	10/9
10	202.3
11	222.6	33/29
12	242.8	23/20, 38/33
13	263
14	283.3	20/17
15	303.5
16	323.7	35/29
17	344
18	364.2	21/17, 37/30
19	384.4
20	404.7
21	424.9	23/18
22	445.1	22/17
23	465.4	17/13, 38/29
24	485.6	41/31
25	505.8
26	526.1
27	546.3	37/27
28	566.5	43/31
29	586.8
30	607	27/19
31	627.2	33/23
32	647.5
33	667.7
34	687.9
35	708.2
36	728.4	35/23
37	748.6
38	768.9
39	789.1	30/19
40	809.3
41	829.6	21/13
42	849.8	31/19
43	870	38/23
44	890.3
45	910.5	22/13
46	930.7	12/7
47	951
48	971.2	7/4
49	991.4	39/22
50	1011.7
51	1031.9
52	1052.1
53	1072.4	13/7
54	1092.6
55	1112.8	19/10
56	1133.1
57	1153.3	35/18, 37/19
58	1173.5
59	1193.8
60	1214
61	1234.2
62	1254.5	31/15
63	1274.7	23/11
64	1294.9	19/9
65	1315.2
66	1335.4
67	1355.6
68	1375.9
69	1396.1
70	1416.3	43/19
71	1436.6	39/17
72	1456.8
73	1477.1
74	1497.3
75	1517.5
76	1537.8	17/7
77	1558
78	1578.2
79	1598.5
80	1618.7
81	1638.9
82	1659.2
83	1679.4	29/11
84	1699.6
85	1719.9	27/10
86	1740.1	41/15
87	1760.3
88	1780.6
89	1800.8	17/6
90	1821	43/15
91	1841.3	29/10
92	1861.5
93	1881.7
94	1902	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)