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55 tone equal temperament


55edo divides the octave into 55 parts of 21.818 cents. It can be used for a meantone tuning, and is close to 1/6 comma meantone (and is almost exactly 10/57 comma meantone.) Telemann suggested it as a theoretical basis for analyzing the intervals of meantone, in which he was followed by Leopold and Wolfgang Mozart. It can also be used for mohajira and liese temperaments.

5-limit commas: 81/80, <31 1 -14|

7-limit commas: 81/80, 686/675, 6144/6125

11-limit commas: 81/80, 121/120, 176/175, 686/675

Intervals

Degrees of 55-EDO
Cents value
0
0
1
21.818
2
43.636
3
65.455
4
87.273
5
109.091
6
130.909
7
152.727
8
174.545
9
196.364
10
218.182
11
240.000
12
261.818
13
283.636
14
305.455
15
327.273
16
349.091
17
370.909
18
392.727
19
414.545
20
436.364
21
458.182
22
480.000
23
501.818
24
523.636
25
545.455
26
567.273
27
589.091
28
610.909
29
632.727
30
654.545
31
676.364
32
698.182
33
720.000
34
741.818
35
763.636
36
785.455
37
807.273
38
829.091
39
850.909
40
872.727
41
894.545
42
916.364
43
938.182
44
960.000
45
981.818
46
1003.636
47
1025.455
48
1047.273
49
1069.091
50
1090.909
51
1112.727
52
1134.545
53
1156.364
54
1178.182
55
1200.000

Mozart - Adagio in B minor KV 540 by Carlo Serafini (blog entry)

"Mozart's tuning: 55edo" (containing another listening example) in the tonalsoft encyclopedia