45edf: Difference between revisions

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|-
|-
| style="text-align:right;" |4
| style="text-align:right;" |4
| style="text-align:right;" |62.395
| style="text-align:right;" |62.396
| style="text-align:center;" |28/27, 26/25
| style="text-align:center;" |28/27, 27/26, 26/25
|-
|-
| style="text-align:right;" |5
| style="text-align:right;" |5
| style="text-align:right;" |77.995
| style="text-align:right;" |77.995
| style="text-align:center;" |21/20, 25/24
| style="text-align:center;" |21/20, 22/21, 25/24
|-
|-
| style="text-align:right;" |6
| style="text-align:right;" |6
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| style="text-align:right;" |8
| style="text-align:right;" |8
| style="text-align:right;" |124.792
| style="text-align:right;" |124.792
| style="text-align:center;" |15/14
| style="text-align:center;" |15/14, 14/13
|-
|-
| style="text-align:right;" |9
| style="text-align:right;" |9
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| style="text-align:right;" |1201.123
| style="text-align:right;" |1201.123
| style="text-align:center;" |2/1
| style="text-align:center;" |2/1
|-
|78
|1216.722
|81/40, 99/49
|-
|79
|1232.321
|128/63, 49/24
|-
|80
|1247.92
|33/16, 72/35
|-
|81
|1263.519
|56/27, 27/13, 52/25
|-
|82
|1279.118
|21/10, 44/21,25/12
|-
|83
|1294.717
|135/64
|-
|84
|1310.316
|32/15
|-
|85
|1325.915
|15/7, 28/13
|-
|86
|1341.514
|13/6
|-
|87
|1357.113
|24/11, 11/5
|-
|88
|1372.712
|144/65
|-
|89
|1388.311
|20/9
|-
|90
|1403.91
|9/4
|}
|}
[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 19:49, 10 March 2019

Division of the just perfect fifth into 45 equal parts (45EDF) is related to 77 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 1.123 cents stretched and the step size is about 15.599 cents. The patent val has a generally sharp tendency for harmonics up to 16, with the exception for 11.

Lookalikes: 77edo, 122edt

Intervals

Degree Cents

Value

Approximate Ratios

in the 13-limit

0 0.000 1/1
1 15.599 81/80, 99/98
2 31.198 64/63, 49/48
3 46.797 33/32, 36/35
4 62.396 28/27, 27/26, 26/25
5 77.995 21/20, 22/21, 25/24
6 93.594 135/128
7 109.193 16/15
8 124.792 15/14, 14/13
9 140.391 13/12
10 155.99 12/11, 11/10
11 171.589 72/65
12 187.188 10/9
13 202.787 9/8
14 218.386 256/225
15 233.985 8/7
16 249.584 15/13
17 265.183 7/6
18 280.782 33/28
19 296.381 32/27, 13/11
20 311.98 6/5
21 327.579 98/81
22 343.178 11/9, 39/32
23 358.777 16/13
24 374.376 56/45, 26/21
25 389.975 5/4
26 405.574 33/26, 81/64
27 420.173 14/11, 32/25
28 436.772 9/7
29 452.371 13/10
30 467.97 21/16
31 483.569 120/91
32 499.168 4/3
33 514.767 27/20
34 530.366 49/36
35 545.965 11/8, 15/11
36 561.564 18/13
37 577.163 7/5
38 592.762 45/32
39 608.361 64/45
40 623.96 10/7
41 639.559 13/9
42 655.158 16/11, 22/15
43 670.757 72/49
44 686.356 40/27
45 701.955 3/2
46 717.554 91/60
47 733.153 32/21
48 748.752 20/13
49 764.351 14/9
50 779.95 11/7, 25/16
51 795.549 52/33, 128/81
52 818.148 8/5
53 826.747 45/28, 21/13
54 842.346 13/8
55 857.945 18/11, 64/39
56 873.544 81/49
57 889.143 5/3
58 904.742 27/16, 22/13
59 920.341 56/33
60 935.84 12/7
61 951.539 26/15
62 967.138 7/4
63 982.737 225/128
64 998.336 16/9
65 1013.935 9/5
66 1029.534 65/36
67 1045.133 11/6, 20/11
68 1060.732 24/13
69 1076.331 28/15
70 1091.93 15/8
71 1107.529 256/135
72 1123.128 40/21, 48/25
73 1138.727 27/14, 25/13
74 1154.326 64/33, 35/18
75 1169.925 63/32, 96/49
76 1185.524 160/81, 196/99
77 1201.123 2/1
78 1216.722 81/40, 99/49
79 1232.321 128/63, 49/24
80 1247.92 33/16, 72/35
81 1263.519 56/27, 27/13, 52/25
82 1279.118 21/10, 44/21,25/12
83 1294.717 135/64
84 1310.316 32/15
85 1325.915 15/7, 28/13
86 1341.514 13/6
87 1357.113 24/11, 11/5
88 1372.712 144/65
89 1388.311 20/9
90 1403.91 9/4
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