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'''[[Ed7|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]] and [[30edt]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.
'''[[Ed7|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]] and [[30edt]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 63.5628
| |
| |
|-
| | 2
| | 127.1255
| |
| |
|-
| | 3
| | 190.6883
| |
| |
|-
| | 4
| | 254.2510
| |
| |
|-
| | 5
| | 317.8138
| |
| |
|-
| | 6
| | 381.3765
| |
| |
|-
| | 7
| | 444.9393
| |
| |
|-
| | 8
| | 508.5020
| |
| |
|-
| | 9
| | 572.0648
| |
| |
|-
| | 10
| | 635.6275
| |
| |
|-
| | 11
| | 699.1903
| |
| |
|-
| | 12
| | 762.7530
| |
| |
|-
| | 13
| | 826.3158
| |
| |
|-
| | 14
| | 889.8785
| |
| |
|-
| | 15
| | 953.4413
| |
| |
|-
| | 16
| | 1017.0040
| |
| |
|-
| | 17
| | 1080.5668
| |
| |
|-
| | 18
| | 1144.1296
| |
| |
|-
| | 19
| | 1207.6923
| |
| |
|-
| | 20
| | 1271.2551
| |
| |
|-
| | 21
| | 1334.8178
| |
| |
|-
| | 22
| | 1398.3806
| |
| |
|-
| | 23
| | 1461.9433
| |
| |
|-
| | 24
| | 1525.5061
| |
| |
|-
| | 25
| | 1589.0688
| |
| |
|-
| | 26
| | 1652.6316
| |
| |
|-
| | 27
| | 1716.1943
| |
| |
|-
| | 28
| | 1779.7571
| |
| |
|-
| | 29
| | 1843.3198
| |
| |
|-
| | 30
| | 1906.8826
| |
| |
|-
| | 31
| | 1970.4453
| |
| |
|-
| | 32
| | 2034.0081
| |
| |
|-
| | 33
| |
| |
| |
|-
| | 34
| |
| |
| |
|-
| | 35
| |
| |
| |
|-
| | 36
| |
| |
| |
|-
| | 37
| |
| |
| |
|-
| | 38
| |
| |
| |
|-
| | 39
| |
| |
| |
|-
| | 40
| |
| |
| |
|-
| | 41
| |
| |
| |
|-
| | 42
| |
| |
| |
|-
| | 43
| |
| |
| |
|-
| | 44
| |
| |
| |
|-
| | 45
| |
| |
| |
|-
| | 46
| |
| |
| |
|-
| | 47
| |
| |
| |
|-
| | 48
| |
| |
| |
|-
| | 49
| |
| |
| |
|-
| | 50
| |
| |
| |
|-
| | 51
| |
| |
| |
|-
| | 52
| |
| |
| |
|-
| | 53
| | 3368.8259
| | '''exact [[7/1]]'''
| | [[7/4|harmonic seventh]] plus two octaves
|}


[[Category:Ed7]]
[[Category:Ed7]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 08:46, 10 January 2019

Division of the 7th harmonic into 53 equal parts (53ed7) is related to 19edo and 30edt, but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic.

degree cents value corresponding
JI intervals 		comments
0 0.0000 exact 1/1
1 63.5628
2 127.1255
3 190.6883
4 254.2510
5 317.8138
6 381.3765
7 444.9393
8 508.5020
9 572.0648
10 635.6275
11 699.1903
12 762.7530
13 826.3158
14 889.8785
15 953.4413
16 1017.0040
17 1080.5668
18 1144.1296
19 1207.6923
20 1271.2551
21 1334.8178
22 1398.3806
23 1461.9433
24 1525.5061
25 1589.0688
26 1652.6316
27 1716.1943
28 1779.7571
29 1843.3198
30 1906.8826
31 1970.4453
32 2034.0081
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53 3368.8259 exact 7/1 harmonic seventh plus two octaves
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