92edt
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Prime factorization
22 × 23
Step size
20.6734¢
Octave
58\92edt (1199.06¢) (→29\46edt)
Consistency limit
17
Distinct consistency limit
11
← 91edt | 92edt | 93edt → |
Division of the third harmonic into 92 equal parts (92EDT) is related to 58 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 0.9414 cents compressed and the step size is about 20.6734 cents. It is consistent to the 18-integer-limit.
Lookalikes: 58edo, 150ed6, 163ed7, 34edf
Intervals
Steps | Cents | Hekts | Approximate ratios |
---|---|---|---|
0 | 0 | 0 | 1/1 |
1 | 20.7 | 14.1 | |
2 | 41.3 | 28.3 | 40/39, 41/40, 42/41, 43/42 |
3 | 62 | 42.4 | 28/27, 29/28 |
4 | 82.7 | 56.5 | 21/20, 22/21, 43/41 |
5 | 103.4 | 70.7 | 17/16, 35/33 |
6 | 124 | 84.8 | 29/27, 43/40 |
7 | 144.7 | 98.9 | 25/23, 37/34, 38/35 |
8 | 165.4 | 113 | 11/10 |
9 | 186.1 | 127.2 | 39/35 |
10 | 206.7 | 141.3 | |
11 | 227.4 | 155.4 | 41/36 |
12 | 248.1 | 169.6 | 15/13 |
13 | 268.8 | 183.7 | 7/6 |
14 | 289.4 | 197.8 | 13/11 |
15 | 310.1 | 212 | 43/36 |
16 | 330.8 | 226.1 | 23/19, 40/33 |
17 | 351.4 | 240.2 | 38/31 |
18 | 372.1 | 254.3 | 26/21, 31/25, 36/29 |
19 | 392.8 | 268.5 | |
20 | 413.5 | 282.6 | 33/26 |
21 | 434.1 | 296.7 | 9/7 |
22 | 454.8 | 310.9 | 13/10 |
23 | 475.5 | 325 | 25/19 |
24 | 496.2 | 339.1 | 4/3 |
25 | 516.8 | 353.3 | 27/20, 31/23, 35/26 |
26 | 537.5 | 367.4 | 15/11 |
27 | 558.2 | 381.5 | 29/21, 40/29 |
28 | 578.9 | 395.7 | |
29 | 599.5 | 409.8 | 24/17, 41/29 |
30 | 620.2 | 423.9 | 10/7 |
31 | 640.9 | 438 | 29/20, 42/29 |
32 | 661.5 | 452.2 | 22/15, 41/28 |
33 | 682.2 | 466.3 | 40/27, 43/29 |
34 | 702.9 | 480.4 | 3/2 |
35 | 723.6 | 494.6 | 38/25, 41/27 |
36 | 744.2 | 508.7 | 20/13, 43/28 |
37 | 764.9 | 522.8 | 14/9 |
38 | 785.6 | 537 | |
39 | 806.3 | 551.1 | 35/22, 43/27 |
40 | 826.9 | 565.2 | 29/18 |
41 | 847.6 | 579.3 | 31/19 |
42 | 868.3 | 593.5 | 33/20, 38/23, 43/26 |
43 | 889 | 607.6 | |
44 | 909.6 | 621.7 | 22/13 |
45 | 930.3 | 635.9 | |
46 | 951 | 650 | 26/15 |
47 | 971.7 | 664.1 | |
48 | 992.3 | 678.3 | 39/22 |
49 | 1013 | 692.4 | |
50 | 1033.7 | 706.5 | 20/11 |
51 | 1054.3 | 720.7 | |
52 | 1075 | 734.8 | 41/22 |
53 | 1095.7 | 748.9 | 32/17 |
54 | 1116.4 | 763 | 40/21 |
55 | 1137 | 777.2 | 27/14 |
56 | 1157.7 | 791.3 | 39/20, 41/21, 43/22 |
57 | 1178.4 | 805.4 | |
58 | 1199.1 | 819.6 | 2/1 |
59 | 1219.7 | 833.7 | |
60 | 1240.4 | 847.8 | 41/20, 43/21 |
61 | 1261.1 | 862 | 29/14 |
62 | 1281.8 | 876.1 | 21/10 |
63 | 1302.4 | 890.2 | 17/8 |
64 | 1323.1 | 904.3 | 43/20 |
65 | 1343.8 | 918.5 | 37/17 |
66 | 1364.4 | 932.6 | 11/5 |
67 | 1385.1 | 946.7 | 20/9 |
68 | 1405.8 | 960.9 | 9/4 |
69 | 1426.5 | 975 | 41/18 |
70 | 1447.1 | 989.1 | 30/13 |
71 | 1467.8 | 1003.3 | 7/3 |
72 | 1488.5 | 1017.4 | 26/11 |
73 | 1509.2 | 1031.5 | 43/18 |
74 | 1529.8 | 1045.7 | 29/12 |
75 | 1550.5 | 1059.8 | |
76 | 1571.2 | 1073.9 | |
77 | 1591.9 | 1088 | |
78 | 1612.5 | 1102.2 | 33/13 |
79 | 1633.2 | 1116.3 | 18/7 |
80 | 1653.9 | 1130.4 | 13/5 |
81 | 1674.5 | 1144.6 | |
82 | 1695.2 | 1158.7 | |
83 | 1715.9 | 1172.8 | 35/13 |
84 | 1736.6 | 1187 | 30/11 |
85 | 1757.2 | 1201.1 | |
86 | 1777.9 | 1215.2 | |
87 | 1798.6 | 1229.3 | |
88 | 1819.3 | 1243.5 | 20/7 |
89 | 1839.9 | 1257.6 | |
90 | 1860.6 | 1271.7 | 41/14 |
91 | 1881.3 | 1285.9 | |
92 | 1902 | 1300 | 3/1 |
Harmonics
Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | -0.94 | +0.00 | -1.88 | +4.60 | -0.94 | +0.94 | -2.82 | +0.00 | +3.66 | +4.04 | -1.88 |
Relative (%) | -4.6 | +0.0 | -9.1 | +22.2 | -4.6 | +4.6 | -13.7 | +0.0 | +17.7 | +19.5 | -9.1 | |
Steps (reduced) |
58 (58) |
92 (0) |
116 (24) |
135 (43) |
150 (58) |
163 (71) |
174 (82) |
184 (0) |
193 (9) |
201 (17) |
208 (24) |
Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +4.26 | +0.00 | +4.60 | -3.77 | -5.35 | -0.94 | +8.82 | +2.72 | +0.94 | +3.10 | +8.84 |
Relative (%) | +20.6 | +0.0 | +22.2 | -18.2 | -25.9 | -4.6 | +42.7 | +13.1 | +4.6 | +15.0 | +42.7 | |
Steps (reduced) |
215 (31) |
221 (37) |
227 (43) |
232 (48) |
237 (53) |
242 (58) |
247 (63) |
251 (67) |
255 (71) |
259 (75) |
263 (79) |