42ed11: Difference between revisions

(5 intermediate revisions by 4 users not shown)

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-[[integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the 10-integer-limit.

{| class="wikitable"

Line 224:

Line 225:

|}

== ~~42ed11 as a generator~~ ==

== Regular temperaments ==

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 (''[[~~Marvel temperaments~~ #Quintapole|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.

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 (''[[Quintaleap family #Quintapole|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 ==

Line 237:

Line 238:

* [[40ed10|40ED10]] - relative ED10

~~[[Category:Ed11]]~~

~~[[Category:Edonoi]]~~

@@ 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]].
+{{Infobox ET}}
+'''[[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-[[integer-limit]], but not to the 12-integer-limit. In comparison, 12EDO is only consistent up to the 10-integer-limit.
 {| class="wikitable"
@@ Line 224: / Line 225: @@
 |}
-== 42ed11 as a generator ==
+== Regular temperaments ==
-{{See also|16ed5/2 #16ed5/2 as a generator}}
+{{See also| Quintaleap family }}
-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 (''[[Marvel temperaments #Quintapole|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.
+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 (''[[Quintaleap family #Quintapole|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 ==
@@ Line 237: / Line 238: @@
 * [[40ed10|40ED10]] - relative ED10
-[[Category:Ed11]]
+{{todo|expand}}
-[[Category:Edonoi]]