71edt: Difference between revisions

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Tags: Mobile edit Mobile web edit
Line 15: Line 15:
| | 1
| | 1
| | 26.7881
| | 26.7881
| |  
| | 66/65
| |  
| |  
|-
|-
| | 2
| | 2
| | 53.5762
| | 53.5762
| |  
| | 65/63
| |  
| |  
|-
|-
Line 30: Line 30:
| | 4
| | 4
| | 107.1524
| | 107.1524
| |  
| | 117/110
| |  
| |  
|-
|-
Line 45: Line 45:
| | 7
| | 7
| | 187.5167
| | 187.5167
| |  
| | 39/35
| |  
| |  
|-
|-
| | 8
| | 8
| | 214.3048
| | 214.3048
| |  
| | 147/130, 198/175
| |  
| |  
|-
|-
Line 65: Line 65:
| | 11
| | 11
| | 294.6691
| | 294.6691
| |  
| | 77/65
| |  
| |  
|-
|-
Line 100: Line 100:
| | 18
| | 18
| | 482.1858
| | 482.1858
| |  
| | 33/25
| |  
| |  
|-
|-
Line 160: Line 160:
| | 30
| | 30
| | 803.6430
| | 803.6430
| |  
| | 35/22
| |  
| |  
|-
|-
Line 180: Line 180:
| | 34
| | 34
| | 910.7954
| | 910.7954
| |  
| | [[22/13]]
| |  
| |  
|-
|-
| | 35
| | 35
| | 937.5835
| | 937.5835
| |  
| | 189/110
| |  
| |  
|-
|-
| | 36
| | 36
| | 964.3715
| | 964.3715
| |  
| | 110/63
| |  
| |  
|-
|-
| | 37
| | 37
| | 991.1596
| | 991.1596
| |  
| | 39/22
| |  
| |  
|-
|-
Line 215: Line 215:
| | 41
| | 41
| | 1098.3120
| | 1098.3120
| |  
| | 66/35
| |  
| |  
|-
|-
Line 275: Line 275:
| | 53
| | 53
| | 1419.7692
| | 1419.7692
| |  
| | 25/11
| |  
| |  
|-
|-
Line 325: Line 325:
| | 63
| | 63
| | 1687.6502
| | 1687.6502
| |  
| | 175/66, 130/49
| |  
| |  
|-
|-
| | 64
| | 64
| | 1714.4383
| | 1714.4383
| |  
| | 35/13
| |  
| |  
|-
|-
Line 345: Line 345:
| | 67
| | 67
| | 1794.8026
| | 1794.8026
| |  
| | 110/39
| |  
| |  
|-
|-
Line 355: Line 355:
| | 69
| | 69
| | 1848.3788
| | 1848.3788
| |  
| | 189/65
| |  
| |  
|-
|-
| | 70
| | 70
| | 1875.1669
| | 1875.1669
| |  
| | 65/22
| |  
| |  
|-
|-

Revision as of 23:32, 28 January 2019

Division of the third harmonic into 71 equal parts (71edt) is related to 45 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 5.4644 cents stretched and the step size is about 26.7881 cents.

degree cents value corresponding
JI intervals 		comments
0 0.0000 exact 1/1
1 26.7881 66/65
2 53.5762 65/63
3 80.3643 22/21
4 107.1524 117/110
5 133.9405 27/25
6 160.7286
7 187.5167 39/35
8 214.3048 147/130, 198/175
9 241.0929
10 267.8810 7/6
11 294.6691 77/65
12 321.4572
13 348.2453 11/9
14 375.0334
15 401.8215
16 428.6096
17 455.3977 13/10
18 482.1858 33/25
19 508.9739
20 535.7620 15/11
21 562.5501 18/13
22 589.3382
23 616.1263 10/7
24 642.9144
25 669.7025
26 696.4906
27 723.2787
28 750.0668
29 776.8549
30 803.6430 35/22
31 830.4311 21/13
32 857.2192
33 884.0073 5/3
34 910.7954 22/13
35 937.5835 189/110
36 964.3715 110/63
37 991.1596 39/22
38 1017.9477 9/5
39 1044.7358
40 1071.5239 13/7
41 1098.3120 66/35
42 1125.1001
43 1151.8882
44 1178.6763
45 1205.4644
46 1232.2525
47 1259.0406
48 1285.8287 21/10
49 1312.6168
50 1339.4049 13/6
51 1366.1930 11/5
52 1392.9811
53 1419.7692 25/11
54 1446.5573 30/13
55 1473.3454
56 1500.1335
57 1526.9216
58 1553.7097 27/11
59 1580.4978
60 1607.2859
61 1634.0740 18/7
62 1660.8621
63 1687.6502 175/66, 130/49
64 1714.4383 35/13
65 1741.2264
66 1768.0145 25/9
67 1794.8026 110/39
68 1821.5907 63/22
69 1848.3788 189/65
70 1875.1669 65/22
71 1901.9550 exact 3/1 just perfect fifth plus an octave
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