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Add Music section, starting with Bryan Deister's ''12edΦ improv'' (2026)
 
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Various equal divisions of the octave have close approximations of [[acoustic phi]], or <math>φ</math>, ≈833.090296357¢.
Various equal divisions of the octave have close approximations of [[acoustic phi]], or <math>φ</math>, ≈833.090296357¢.


If the <math>m^{th}</math> step of <math>n</math><span>ed2 is a close approximation of <math>φ</math>, the <math>n^{th}</math> step of <math>m</math><span>ed<math>φ</math> will be a close approximation of 2.
If the <math>m^{th}</math> step of <math>n</math><span>edo is a close approximation of <math>φ</math>, the <math>n^{th}</math> step of <math>m</math><span>ed<math>φ</math> will be a close approximation of 2.


For example, the 7th step of 10ed2 is 840¢, and the 10th step of 7ed<math>φ</math> is ≈1190.128995¢.  
For example, the 7th step of [[10edo]] is 840¢, and the 10th step of 7ed<math>φ</math> is ≈1190.128995¢.  
As another example, the 9th step of 13ed2 is ≈830.7692308¢, and the 13th step of [[9edϕ|9ed<math>φ</math>]] is ≈1203.35265¢.
As another example, the 9th step of [[13edo]] is ≈830.7692308¢, and the 13th step of [[9edϕ|9ed<math>φ</math>]] is ≈1203.35265¢.


Such <math>m</math><span>ed<math>φ</math> are interesting as variants of their respective <math>n</math><span>ed<math>2</math><span>, introducing some combination tone powers.
Such <math>m</math><span>ed<math>φ</math> are interesting as variants of their respective <math>n</math><span>ed<math>2</math><span>, introducing some combination tone powers.
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  cet33.scl                      25  25th root of phi, Walter O´Connell (1993)
  cet33.scl                      25  25th root of phi, Walter O´Connell (1993)
  cet46.scl                      18  18th root of phi, Walter O´Connell (1993)
  cet46.scl                      18  18th root of phi, Walter O´Connell (1993)
== Music ==
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/JrGYILddm64 ''12edΦ improv''] (2026)


== See also ==
== See also ==