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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
44.2315
2
88.463
3
132.6945
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
575.01
14
619.241
15
663.473
16
707.704
17
751.936
18
796.167
19
840.399
20
884.63
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
1459.64
34
1503.871
35
1548.193
36
1592.334
37
1636.566
38
1680.797
39
1725.029
40
1769.2605
41
1813.492
42
1857.7235
43
1901.955