11-limit: Difference between revisions

Xenwolf (talk | contribs)
reworked (some intersections with 11-odd-limit found -> todo)
Morion (talk | contribs)
It is best to include EDOs which represent 11-limit consistently.
Line 156: Line 156:
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.
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.


Relative to their size, [[EDO]]s which do (relatively) well in supporting 11-limit intervals are: {{EDOs| 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 15, 22, 26, 31, 41, 63, 72, 87, 109, and 161edo }}.
Examples of [[EDO]]s which are consistent in 11-limit include: {{EDOs|22, 26, 31, 41, 46, 63, 72, 87, 109, and 161edo }}.


[[File:11-limit_compare.png|alt=11-limit_compare.png|11-limit_compare.png]]
[[File:11-limit_compare.png|alt=11-limit_compare.png|11-limit_compare.png]]