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47 tone Equal Temperament


47-EDO divides the octave into 47 equal parts of 25.5319 cents each. It has a fifth which is 12.5933 cents flat, unless you use the alternative fifth which is 12.9386 cents sharp, similar to 35edo. It has therefore not aroused much interest, but its best approximation to 9/8 is actually quite good, one-third of a cent sharp. It does a good job of approximating the 2.9.5.7.33.13.17.57.69 23-limit 2*47 subgroup of the 23-limit, on which it tempers out the same commas as 94edo. It provides a good tuning for baldy and silver temperaments and relatives.

47edo is the 15th prime edo, following 43edo and preceding 53edo.

Intervals of 47edo


Degree
Size (Cents)
0
0.0000
1
25.5319
2
51.0638
3
76.5957
4
102.1277
5
127.6596
6
153.1915
7
178.7234
8
204.2553
9
229.7872
10
255.3191
11
280.8511
12
306.3830
13
331.9149
14
357.4468
15
382.9787
16
408.5106
17
434.0426
18
459.5745
19
485.1064
20
510.6383
21
536.1702
22
561.7021
23
587.2340
24
612.7660
25
638.2979
26
663.8298
27
689.3617
28
714.8936
29
740.4255
30
765.9574
31
791.4894
32
817.0213
33
842.5532
34
868.0851
35
893.6170
36
919.1489
37
944.6809
38
970.2128
39
995.7447
40
1021.2766
41
1046.8085
42
1072.3404
43
1097.8723
44
1123.4043
45
1148.9362
46
1174.4681
47
1200.0000