11-limit: Difference between revisions

Line 4:

While the [[7-limit]] introduces subminor and supermajor intervals, which can sound like dramatic inflections of the familiar interval categories of [[12edo]], the 11-limit introduces neutral intervals, [[superfourth]]s and [[subfifth]]s, which fall in between major, minor and perfect [[interval category|interval categories]] and thus demand new distinctions. It is thus inescapably xenharmonic.

A list of [[edo]]s which represent 11-limit intervals with better accuracy: {{EDOs| 22, 27e, 31, 41, 53, 58, 72, 118, 130, 152, 224, 270, 342, 612 }} and so on. Another list of edos which tunes the 11-limit well relative to their size ([[TE relative error|relative error]] < 5%): {{EDOs| 31, 41, 58, 72, 87, 118, 130, 152, 183, 190, 198, 212, 224, 239, 255, 270, 301, 311, 342, 369, 373, 400, 414, 422, 441, 453, 460, 463, 472, 494, 525, 552, 566, 581, 612 }} and so on.

== Edo approximation ==

A list of [[edo]]s which represent 11-limit intervals with better accuracy: {{EDOs| 22, 27e, 31, 41, 53, 58, 72, 118, 130, 152, 224, 270, 342, 612 }} and so on.

Another list of edos which tunes the 11-limit well relative to their size ([[TE relative error|relative error]] < 5%): {{EDOs| 31, 41, 58, 72, 87, 118, 130, 152, 183, 190, 198, 212, 224, 239, 255, 270, 301, 311, 342, 369, 373, 400, 414, 422, 441, 453, 460, 463, 472, 494, 525, 552, 566, 581, 612 }} and so on.

Note: [[wart notation]] is used to specify the [[val]] chosen for the edo.

== Intervals ==

@@ Line 4: / Line 4: @@
 While the [[7-limit]] introduces subminor and supermajor intervals, which can sound like dramatic inflections of the familiar interval categories of [[12edo]], the 11-limit introduces neutral intervals, [[superfourth]]s and [[subfifth]]s, which fall in between major, minor and perfect [[interval category|interval categories]] and thus demand new distinctions. It is thus inescapably xenharmonic.
-A list of [[edo]]s which represent 11-limit intervals with better accuracy: {{EDOs| 22, 27e, 31, 41, 53, 58, 72, 118, 130, 152, 224, 270, 342, 612 }} and so on. Another list of edos which tunes the 11-limit well relative to their size ([[TE relative error|relative error]] < 5%): {{EDOs| 31, 41, 58, 72, 87, 118, 130, 152, 183, 190, 198, 212, 224, 239, 255, 270, 301, 311, 342, 369, 373, 400, 414, 422, 441, 453, 460, 463, 472, 494, 525, 552, 566, 581, 612 }} and so on.
+== Edo approximation ==
+A list of [[edo]]s which represent 11-limit intervals with better accuracy: {{EDOs| 22, 27e, 31, 41, 53, 58, 72, 118, 130, 152, 224, 270, 342, 612 }} and so on.
+Another list of edos which tunes the 11-limit well relative to their size ([[TE relative error|relative error]] < 5%): {{EDOs| 31, 41, 58, 72, 87, 118, 130, 152, 183, 190, 198, 212, 224, 239, 255, 270, 301, 311, 342, 369, 373, 400, 414, 422, 441, 453, 460, 463, 472, 494, 525, 552, 566, 581, 612 }} and so on.
+Note: [[wart notation]] is used to specify the [[val]] chosen for the edo.
 == Intervals ==