42ed11: Difference between revisions

Line 1:

'''[[Ed11|Division of the 11th harmonic]] into 42 equal parts''' (~~42ed11~~) is related to [[12edo|12 ~~edo~~]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, ~~12edo~~ is only consistent up to the [[9-odd-limit|10-integer-limit]].

'''[[Ed11|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the [[9-odd-limit|10-integer-limit]].

{| class="wikitable"

Line 224:

|}

==See also==

== 42ed11 as a generator ==

42ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''quintapole'' temperament, 12&85). Alternative 12&97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.

== See also ==

* [[12edo|12EDO]] - relative EDO

* [[19ed3|19ED3]] - relative EDT

@@ Line 1: / Line 1: @@
-'''[[Ed11|Division of the 11th harmonic]] into 42 equal parts''' (42ed11) is related to [[12edo|12 edo]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12edo is only consistent up to the [[9-odd-limit|10-integer-limit]].
+'''[[Ed11|Division of the 11th harmonic]] into 42 equal parts''' (42ED11) is related to [[12edo|12 EDO]], but with the 11/1 rather than the 2/1 being just. The octave is about 13.9092 cents compressed and the step size is about 98.8409 cents. It is consistent to the [[11-odd-limit|11-integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the [[9-odd-limit|10-integer-limit]].
 {| class="wikitable"
@@ Line 224: / Line 224: @@
 |}
-==See also==
+== 42ed11 as a generator ==
+{{See also|16ed5/2 #16ed5/2 as a generator}}
+ED11 can also be thought of as a [[generator]] of the 11-limit temperament which tempers out 100/99, 225/224, and 85184/84035, which is a cluster temperament with 12 clusters of notes in an octave (''quintapole'' temperament, 12&amp;85). Alternative 12&amp;97 temperament can also be used, which tempers out 100/99, 245/242, and 458752/455625 in the 11-limit.
+== See also ==
 * [[12edo|12EDO]] - relative EDO
 * [[19ed3|19ED3]] - relative EDT