43edt
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43 EDT[edit]
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 |