62edt: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
Xenllium (talk | contribs)
minor edit
Tags: Mobile edit Mobile web edit
Line 1: Line 1:
'''[[Edt|Division of the third harmonic]] into 62 equal parts''' (62edt) is related to [[39edo|39 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.6090 cents compressed and the step size is about 30.6767 cents. It is consistent to the [[7-odd-limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 39edo is only consistent up to the [[5-odd-limit|6-integer-limit]].
'''[[Edt|Division of the third harmonic]] into 62 equal parts''' (62EDT) is related to [[39edo|39 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 3.6090 cents compressed and the step size is about 30.6767 cents. It is consistent to the [[7-odd-limit|7-integer-limit]], but not to the 8-integer-limit. In comparison, 39edo is only consistent up to the [[5-odd-limit|6-integer-limit]].


{| class="wikitable"
{| class="wikitable"

Revision as of 10:55, 3 March 2019

Division of the third harmonic into 62 equal parts (62EDT) is related to 39 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.6090 cents compressed and the step size is about 30.6767 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 39edo is only consistent up to the 6-integer-limit.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 30.6767 57/56, 56/55
2 61.3534 57/55
3 92.0301 96/91
4 122.7068 161/150, 189/176
5 153.3835
6 184.0602 208/187
7 214.7369 77/68
8 245.4135 121/105
9 276.0902
10 306.7669
11 337.4436 243/200
12 368.1203
13 398.7970 34/27
14 429.4737
15 460.1504
16 490.8271
17 521.5038 77/57
18 552.1805 11/8
19 582.8572 7/5
20 613.5339 57/40
21 644.2106
22 674.8873 96/65
23 705.5640 pseudo-3/2
24 736.2406 153/100
25 766.9173 81/52
26 797.5940
27 828.2707
28 858.9474 69/42
29 889.6241 117/70 pseudo-5/3
30 920.3008
31 950.9775
32 981.6542
33 1012.3309 70/39 pseudo-9/5
34 1043.0076 42/23
35 1073.6843 119/64
36 1104.3610
37 1135.0377 52/27
38 1165.7144 100/51
39 1196.3910 pseudo-octave
40 1227.0677 65/32
41 1257.7444
42 1288.4211 40/19
43 1319.0978 15/7
44 1349.7745 24/11
45 1380.4512
46 1411.1279
47 1441.8046 23/10
48 1472.4813
49 1503.1580 81/34
50 1533.8347
51 1564.5114 200/81
52 1595.1881 98/39
53 1625.8648
54 1656.5415
55 1687.2181
56 1717.8948
57 1748.5715
58 1779.2482 176/63
59 1809.9249 91/32
60 1840.6016 55/19
61 1871.2783 56/19
62 1901.9550 exact 3/1 just perfect fifth plus an octave