Prime factorization

3^{3}

Step size

25.9983¢

Octave

46\27edf (1195.92¢)

Twelfth

73\27edf (1897.88¢)

Consistency limit

6

Distinct consistency limit

6

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 6integerlimit, with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7limit, 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


pseudo9/8

9

233.9850


pseudo8/7

10

259.9833


pseudo7/6

11

285.9817



12

311.9800


pseudo6/5

13

337.9783

175/144


14

363.9767

216/175


15

389.9750


pseudo5/4

16

415.9733



17

441.9717


pseudo9/7

18

467.9700



19

493.9683


pseudo4/3

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
