97edt
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Prime factorization
97 (prime)
Step size
19.6078¢
Octave
61\97edt (1196.07¢)
Consistency limit
5
Distinct consistency limit
5
← 96edt | 97edt | 98edt → |
Division of the third harmonic into 97 equal parts (97EDT) is related to 61 edo, but with the 3/1 rather than the 2/1 being just; in fact, 97edt is close to 61.2002edo, meaning that its step is very accurately represented by 5 steps of 306edo. The octave is about 3.9252 cents compressed and the step size is about 19.6078 cents.
Lookalikes: 61edo, 141ed5, 158ed6
Intervals
Steps | Cents | Approximate ratios |
---|---|---|
0 | 0 | 1/1 |
1 | 19.6 | |
2 | 39.2 | 42/41, 43/42, 44/43 |
3 | 58.8 | 29/28, 30/29, 31/30 |
4 | 78.4 | 22/21, 23/22 |
5 | 98 | 18/17, 37/35 |
6 | 117.6 | 15/14, 31/29 |
7 | 137.3 | 13/12 |
8 | 156.9 | 23/21 |
9 | 176.5 | 31/28, 41/37 |
10 | 196.1 | 28/25, 37/33 |
11 | 215.7 | 17/15, 43/38 |
12 | 235.3 | 39/34 |
13 | 254.9 | 22/19, 29/25 |
14 | 274.5 | 34/29, 41/35 |
15 | 294.1 | |
16 | 313.7 | 6/5 |
17 | 333.3 | 23/19 |
18 | 352.9 | 27/22, 38/31 |
19 | 372.5 | 31/25, 36/29 |
20 | 392.2 | |
21 | 411.8 | 19/15 |
22 | 431.4 | |
23 | 451 | 35/27 |
24 | 470.6 | |
25 | 490.2 | |
26 | 509.8 | |
27 | 529.4 | 19/14 |
28 | 549 | |
29 | 568.6 | 25/18, 43/31 |
30 | 588.2 | |
31 | 607.8 | 27/19, 44/31 |
32 | 627.4 | 33/23 |
33 | 647.1 | |
34 | 666.7 | 25/17 |
35 | 686.3 | |
36 | 705.9 | |
37 | 725.5 | 35/23, 38/25, 41/27 |
38 | 745.1 | 20/13, 43/28 |
39 | 764.7 | 14/9 |
40 | 784.3 | 11/7 |
41 | 803.9 | 35/22, 43/27 |
42 | 823.5 | 29/18, 37/23 |
43 | 843.1 | 44/27 |
44 | 862.7 | 28/17 |
45 | 882.4 | 5/3 |
46 | 902 | 37/22 |
47 | 921.6 | |
48 | 941.2 | 31/18, 43/25 |
49 | 960.8 | |
50 | 980.4 | 37/21, 44/25 |
51 | 1000 | 41/23 |
52 | 1019.6 | 9/5 |
53 | 1039.2 | 31/17 |
54 | 1058.8 | 35/19 |
55 | 1078.4 | 28/15, 41/22 |
56 | 1098 | |
57 | 1117.6 | 21/11 |
58 | 1137.3 | 27/14 |
59 | 1156.9 | 39/20, 41/21 |
60 | 1176.5 | |
61 | 1196.1 | |
62 | 1215.7 | |
63 | 1235.3 | |
64 | 1254.9 | 31/15 |
65 | 1274.5 | 23/11 |
66 | 1294.1 | 19/9 |
67 | 1313.7 | |
68 | 1333.3 | 41/19 |
69 | 1352.9 | |
70 | 1372.5 | 42/19 |
71 | 1392.2 | 38/17 |
72 | 1411.8 | 43/19 |
73 | 1431.4 | |
74 | 1451 | |
75 | 1470.6 | |
76 | 1490.2 | |
77 | 1509.8 | 43/18 |
78 | 1529.4 | 29/12 |
79 | 1549 | 22/9 |
80 | 1568.6 | |
81 | 1588.2 | 5/2 |
82 | 1607.8 | 38/15, 43/17 |
83 | 1627.4 | |
84 | 1647.1 | 44/17 |
85 | 1666.7 | 34/13 |
86 | 1686.3 | |
87 | 1705.9 | |
88 | 1725.5 | |
89 | 1745.1 | |
90 | 1764.7 | 36/13 |
91 | 1784.3 | 14/5 |
92 | 1803.9 | 17/6 |
93 | 1823.5 | 43/15 |
94 | 1843.1 | 29/10 |
95 | 1862.7 | 41/14, 44/15 |
96 | 1882.3 | |
97 | 1902 | 3/1 |
Harmonics
Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | -3.93 | +0.00 | -2.01 | +3.71 | +5.53 | -9.17 | -3.01 | +0.51 | +3.08 | -6.07 | -3.88 |
Relative (%) | -20.0 | +0.0 | -10.2 | +18.9 | +28.2 | -46.8 | -15.3 | +2.6 | +15.7 | -30.9 | -19.8 | |
Steps (reduced) |
61 (61) |
97 (0) |
142 (45) |
172 (75) |
212 (18) |
226 (32) |
250 (56) |
260 (66) |
277 (83) |
297 (6) |
303 (12) |
Harmonic | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +3.54 | +2.29 | -1.73 | +1.14 | +8.83 | -0.37 | +0.74 | -4.82 | -7.17 | +3.56 | +4.07 |
Relative (%) | +18.0 | +11.7 | -8.8 | +5.8 | +45.0 | -1.9 | +3.8 | -24.6 | -36.6 | +18.2 | +20.7 | |
Steps (reduced) |
319 (28) |
328 (37) |
332 (41) |
340 (49) |
351 (60) |
360 (69) |
363 (72) |
371 (80) |
376 (85) |
379 (88) |
386 (95) |
Music
- Imagination by Francium