Pinetone: Difference between revisions

Lhearne (talk | contribs)
Porcutone Diminished or Porcupine-Diminished: Added derivation of Porcutone Diminished chromatic
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Lhearne (talk | contribs)
Porcutone Diminished or Porcupine-Diminished: Fixed mistake in diminished chromatic
Tags: Mobile edit Mobile web edit
Line 2,200: Line 2,200:
We could call these scales, which temper to Diminished[12], the left and right-handed Porcutone Diminished chromatic.
We could call these scales, which temper to Diminished[12], the left and right-handed Porcutone Diminished chromatic.


Tempering out 100/99 and 144/143 leads to the following simplest pre-images: 12/11 9/8 6/5 5/4 13/10 11/8 3/2 25/16 5/3 9/5 15/8 2/1 and 12/11 15/13 6/5 5/4 4/3 11/8 3/2 8/5 5/3 9/5 25/13 2/1.
Tempering out 100/99 and 144/143 leads to the following simplest pre-images: 12/11 9/8 6/5 5/4 125/96 11/8 3/2 25/16 5/3 9/5 15/8 2/1 and 12/11 15/13 6/5 5/4 4/3 11/8 3/2 8/5 5/3 9/5 48/25 2/1.
 
Additionally tempering out 126/125 leads to 12/11 9/8 6/5 5/4 21/16 11/8 3/2 25/16 5/3 9/5 15/8 2/1 and 12/11 15/13 6/5 5/4 4/3 11/8 3/2 8/5 5/3 9/5 40/21 2/1.


== Summary for xen-math nerds ==
== Summary for xen-math nerds ==