49edt
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Prime factorization
72
Step size
38.8154¢
Octave
31\49edt (1203.28¢)
Consistency limit
11
Distinct consistency limit
8
← 48edt | 49edt | 50edt → |
Division of the third harmonic into 49 equal parts (49EDT) is related to 31 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.2777 cents stretched and the step size about 38.8154 cents. It is consistent through the 12-integer limit.
Lookalikes: 18edf, 31edo, 39cET, 80ed6
Intervals
Steps | Cents | Approximate ratios |
---|---|---|
0 | 0 | 1/1 |
1 | 38.8 | |
2 | 77.6 | 22/21, 23/22, 24/23 |
3 | 116.4 | 15/14, 16/15, 31/29 |
4 | 155.3 | 12/11, 23/21 |
5 | 194.1 | 19/17, 28/25, 29/26 |
6 | 232.9 | 8/7 |
7 | 271.7 | 7/6 |
8 | 310.5 | 6/5 |
9 | 349.3 | 11/9, 27/22 |
10 | 388.2 | 5/4 |
11 | 427 | 23/18, 32/25 |
12 | 465.8 | 17/13, 21/16 |
13 | 504.6 | |
14 | 543.4 | 26/19 |
15 | 582.2 | 7/5 |
16 | 621 | 10/7 |
17 | 659.9 | 19/13, 22/15 |
18 | 698.7 | 3/2 |
19 | 737.5 | 23/15, 26/17, 29/19 |
20 | 776.3 | 25/16 |
21 | 815.1 | 8/5 |
22 | 853.9 | 18/11, 23/14 |
23 | 892.8 | |
24 | 931.6 | 12/7 |
25 | 970.4 | 7/4 |
26 | 1009.2 | 25/14 |
27 | 1048 | 11/6 |
28 | 1086.8 | 15/8 |
29 | 1125.6 | 23/12 |
30 | 1164.5 | |
31 | 1203.3 | 2/1 |
32 | 1242.1 | |
33 | 1280.9 | 21/10, 23/11 |
34 | 1319.7 | 15/7 |
35 | 1358.5 | |
36 | 1397.4 | |
37 | 1436.2 | 16/7 |
38 | 1475 | |
39 | 1513.8 | 12/5 |
40 | 1552.6 | 22/9, 27/11 |
41 | 1591.4 | 5/2 |
42 | 1630.2 | 18/7 |
43 | 1669.1 | 21/8 |
44 | 1707.9 | |
45 | 1746.7 | 11/4 |
46 | 1785.5 | 14/5 |
47 | 1824.3 | 23/8 |
48 | 1863.1 | |
49 | 1902 | 3/1 |
Harmonics
Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +3.3 | +0.0 | +6.6 | +8.4 | +3.3 | +8.1 | +9.8 | +0.0 | +11.7 | +1.9 | +6.6 |
Relative (%) | +8.4 | +0.0 | +16.9 | +21.6 | +8.4 | +20.9 | +25.3 | +0.0 | +30.1 | +5.0 | +16.9 | |
Steps (reduced) |
31 (31) |
49 (0) |
62 (13) |
72 (23) |
80 (31) |
87 (38) |
93 (44) |
98 (0) |
103 (5) |
107 (9) |
111 (13) |
Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | -15.6 | +11.4 | +8.4 | +13.1 | -14.2 | +3.3 | -12.7 | +15.0 | +8.1 | +5.2 | +5.9 |
Relative (%) | -40.1 | +29.3 | +21.6 | +33.8 | -36.6 | +8.4 | -32.7 | +38.5 | +20.9 | +13.4 | +15.2 | |
Steps (reduced) |
114 (16) |
118 (20) |
121 (23) |
124 (26) |
126 (28) |
129 (31) |
131 (33) |
134 (36) |
136 (38) |
138 (40) |
140 (42) |
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