27edf

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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.

Lookalikes: 46edo, 73edt

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