Subharmonics 11–22: Difference between revisions

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~~'''11ifdo''' ([[IFDO~~|inverse-arithmetic frequency division of the octave]]), or '''11udo''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into sixteen inverse-arithmetically equal parts. It is a superset of [[10ifdo]] and a subset of [[12ifdo]], its inverse is [[11afdo]]. As a [[scale]] it may also be known as mode 11 ~~of the subharmonic series or the Under-11 scale.~~

It does not contain a perfect fourth or perfect fifth directly above its root, giving it an ungrounded 'floating' feeling similar to the 12edo whole tone scale ([[6edo]], but with a similar step size to the chromatic scale of 12edo, and with very [[xenharmonic]] new harmonies available. Composers who find [[11edo]] and [[13edo]] appealing are likely to enjoy ~~11ifdo~~ for similar reasons.

It does not contain a perfect fourth or perfect fifth directly above its root, giving it an ungrounded 'floating' feeling similar to the 12edo whole tone scale ([[6edo]]), but with a similar step size to the chromatic scale of 12edo, and with very [[xenharmonic]] new harmonies available. Composers who find [[11edo]] and [[13edo]] appealing are likely to enjoy this scale for similar reasons.

== Intervals ==

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== Scales ==

* Undersea cave{{idio}}: 22/20-22/16-22/14-22/12-22/11

* Undersea cave{{idio}}: 22/20-22/16-22/14-22/12-22/10-22/8-22/7-4/1

* [[Octave-reduced]] undersea cave{{idio}}: 22/20-22/16-22/14-22/12-22/11

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-{{Infobox IFDO|steps=11}}
+{{Infobox subharmonics|11}}
-'''11ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or '''11udo''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into sixteen inverse-arithmetically equal parts. It is a superset of [[10ifdo]] and a subset of [[12ifdo]], its inverse is [[11afdo]]. As a [[scale]] it may also be known as mode 11 of the subharmonic series or the Under-11 scale.
+{{Subharmonics intro|11}}
-It does not contain a perfect fourth or perfect fifth directly above its root, giving it an ungrounded 'floating' feeling similar to the 12edo whole tone scale ([[6edo]], but with a similar step size to the chromatic scale of 12edo, and with very [[xenharmonic]] new harmonies available. Composers who find [[11edo]] and [[13edo]] appealing are likely to enjoy 11ifdo for similar reasons.
+It does not contain a perfect fourth or perfect fifth directly above its root, giving it an ungrounded 'floating' feeling similar to the 12edo whole tone scale ([[6edo]]), but with a similar step size to the chromatic scale of 12edo, and with very [[xenharmonic]] new harmonies available. Composers who find [[11edo]] and [[13edo]] appealing are likely to enjoy this scale for similar reasons.
 == Intervals ==
@@ Line 86: / Line 86: @@
 == Scales ==
-* Undersea cave{{idio}}: 22/20-22/16-22/14-22/12-22/11
+* Undersea cave{{idio}}: 22/20-22/16-22/14-22/12-22/10-22/8-22/7-4/1
+* [[Octave-reduced]] undersea cave{{idio}}: 22/20-22/16-22/14-22/12-22/11
 {{todo|expand|inline=1}}
+{{Navbox subharmonics}}