7edt: Difference between revisions
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Revision as of 16:51, 30 May 2021
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.