7edt: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>FREEZE No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
__FORCETOC__ | __FORCETOC__ | ||
=Properties= | =Properties= [[category:macrotonal]] | ||
The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit [[Orwell|orwell temperament]] and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the [[53edo|53edo]] orwell generator which is 271.698 cents. | The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit [[Orwell|orwell temperament]] and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the [[53edo|53edo]] orwell generator which is 271.698 cents. | ||
Revision as of 07:52, 21 September 2018
=Properties= The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. 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 | Approximate Ratio |
| 0 | 0 | 1/1 |
| 1 | 271.708 | 7/6 |
| 2 | 543.416 | 15/11, 11/8 |
| 3 | 815.124 | 8/5 |
| 4 | 1086.831 | 15/8 |
| 5 | 1358.539 | 11/5 (11/10 plus an octave) |
| 6 | 1630.247 | 18/7 (9/7 plus an octave) |
| 7 | 1901.955 | 3/1 |
Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 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
...