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	Hekts	Approximate ratios
0	0	0	1/1
1	20.2	13.8
2	40.5	27.7
3	60.7	41.5	30/29
4	80.9	55.3	22/21, 43/41
5	101.2	69.1	18/17, 35/33
6	121.4	83	29/27
7	141.6	96.8	38/35
8	161.9	110.6
9	182.1	124.5	10/9
10	202.3	138.3
11	222.6	152.1	33/29
12	242.8	166	23/20, 38/33
13	263	179.8
14	283.3	193.6	20/17
15	303.5	207.4
16	323.7	221.3	35/29
17	344	235.1
18	364.2	248.9	21/17, 37/30
19	384.4	262.8
20	404.7	276.6
21	424.9	290.4	23/18
22	445.1	304.3	22/17
23	465.4	318.1	17/13, 38/29
24	485.6	331.9	41/31
25	505.8	345.7
26	526.1	359.6
27	546.3	373.4	37/27
28	566.5	387.2	43/31
29	586.8	401.1
30	607	414.9	27/19
31	627.2	428.7	33/23
32	647.5	442.6
33	667.7	456.4
34	687.9	470.2
35	708.2	484
36	728.4	497.9	35/23
37	748.6	511.7
38	768.9	525.5
39	789.1	539.4	30/19
40	809.3	553.2
41	829.6	567	21/13
42	849.8	580.9	31/19
43	870	594.7	38/23
44	890.3	608.5
45	910.5	622.3	22/13
46	930.7	636.2	12/7
47	951	650
48	971.2	663.8	7/4
49	991.4	677.7	39/22
50	1011.7	691.5
51	1031.9	705.3
52	1052.1	719.1
53	1072.4	733	13/7
54	1092.6	746.8
55	1112.8	760.6	19/10
56	1133.1	774.5
57	1153.3	788.3	35/18, 37/19
58	1173.5	802.1
59	1193.8	816
60	1214	829.8
61	1234.2	843.6
62	1254.5	857.4	31/15
63	1274.7	871.3	23/11
64	1294.9	885.1	19/9
65	1315.2	898.9
66	1335.4	912.8
67	1355.6	926.6
68	1375.9	940.4
69	1396.1	954.3
70	1416.3	968.1	43/19
71	1436.6	981.9	39/17
72	1456.8	995.7
73	1477.1	1009.6
74	1497.3	1023.4
75	1517.5	1037.2
76	1537.8	1051.1	17/7
77	1558	1064.9
78	1578.2	1078.7
79	1598.5	1092.6
80	1618.7	1106.4
81	1638.9	1120.2
82	1659.2	1134
83	1679.4	1147.9	29/11
84	1699.6	1161.7
85	1719.9	1175.5	27/10
86	1740.1	1189.4	41/15
87	1760.3	1203.2
88	1780.6	1217
89	1800.8	1230.9	17/6
90	1821	1244.7	43/15
91	1841.3	1258.5	29/10
92	1861.5	1272.3
93	1881.7	1286.2
94	1902	1300	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)