43edt: Difference between revisions

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[[Category:edt]]
[[Category:edt]]
[[Category:todo:unify_precision]]
[[Category:tritave]]
[[Category:tritave]]

Revision as of 02:15, 23 September 2018

43 EDT

This tuning is related to 27edo having compressed octaves of 1194.251 cents, a small but significant deviation. This is particularly relevant because 27edo is a "sharp tending" system, and flattening its octaves has been suggested before as an improvement (I think by no less than Ivor Darreg, but I'll have to check that).

However, in addition to its rich octave-based harmony, the 43edt is also a fine tritave-based tuning: with a 7/3 of 1460 cents and such a near perfect 5/3, Bohlen-Pierce harmony is very clear and hearty, as well as capable of extended enharmonic distinctions that 13edt is not. The 4L+5s MOS has L=7 s=3.

Degrees Cents
1 44.232
2 88.463
3 132.695
4 176.926
5 221.158
6 265.389
7 309.621
8 353.852
9 398.084
10 442.315
11 486.547
12 530.778
13 575.010
14 619.241
15 663.473
16 707.704
17 751.936
18 796.167
19 840.399
20 884.630
21 928.862
22 973.093
23 1017.325
24 1061.556
25 1105.788
26 1150.019
27 1194.251
28 1238.482
29 1282.713
30 1326.946
31 1371.177
32 1415.408
33 1459.640
34 1503.871
35 1548.193
36 1592.334
37 1636.566
38 1680.797
39 1725.029
40 1769.261
41 1813.492
42 1857.724
43 1901.955