27edf
Division of the just perfect fifth into 27 equal parts (27EDF) is related to 46 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the 6-integer-limit, with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, 323, 369, 415, and 692 EDOs.
Intervals
degree | cents value | corresponding JI intervals |
comments |
---|---|---|---|
0 | exact 1/1 | ||
1 | 25.9983 | ||
2 | 51.9967 | ||
3 | 77.9950 | ||
4 | 103.9933 | ||
5 | 129.9917 | 69/64 | |
6 | 155.9900 | ||
7 | 181.9883 | 10/9 | |
8 | 207.9867 | pseudo-9/8 | |
9 | 233.9850 | pseudo-8/7 | |
10 | 259.9833 | pseudo-7/6 | |
11 | 285.9817 | ||
12 | 311.9800 | pseudo-6/5 | |
13 | 337.9783 | 175/144 | |
14 | 363.9767 | 216/175 | |
15 | 389.9750 | pseudo-5/4 | |
16 | 415.9733 | ||
17 | 441.9717 | pseudo-9/7 | |
18 | 467.9700 | ||
19 | 493.9683 | pseudo-4/3 | |
20 | 519.9667 | 27/20 | |
21 | 545.9650 | ||
22 | 571.9633 | 32/23 | |
23 | 597.9617 | ||
24 | 623.9600 | ||
25 | 649.9583 | ||
26 | 675.9567 | ||
27 | 701.9550 | exact 3/2 | just perfect fifth |