7edt

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7edt (short for 7 equal division of tritave) divides the interval 3/1 it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo.


Properties

The step size is very close to the 271.509 cents of 7-limit orwell temperament and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the 53edo orwell generator which is 271.698 cents.

Scale degrees of 7edt

Degrees Cents hekts Approximate Ratio
0 1/1
1 271.708 185.714 7/6
2 543.416 371.429 15/11, 11/8
3 815.124 557.143 8/5
4 1086.831 742.857 15/8
5 1358.539 928.571 11/5 (11/10 plus an octave)
6 1630.247 1114.286 18/7 (9/7 plus an octave)
7 1901.955 1300 3/1

Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactly 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the eric comma.

7n-edt Family