Musical cells: Difference between revisions
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* [[Octave]] | * [[Octave]] | ||
* [[Wikipedia:Stretched tuning]] | |||
* [[Wikipedia:Stretched octave]] | |||
[[Category:Todo:add definition]] | [[Category:Todo:add definition]] | ||
[[Category:Todo:expand]] | [[Category:Todo:expand]] | ||
Revision as of 20:47, 26 February 2022
Musical cells is a system of Mario Pizarro for constructing circulating temperaments. Recently he has connected this to a system of stretched octaves he calls "toctaves". This is discussed on The corrected progression of musical cells.
Toctave
Toctave (short for "True Octave") is a frequency ratio of 27 * 2^(1/4) / 16 (ca. 1205.865 cents) which Pizarro came up with in connection with his theory of musical cells.
[math]\displaystyle{ Toctave=\frac{27}{16}\sqrt[4]{2} \approx 2.0067870065670918\dots }[/math]
This is 1/4 of a Pythagorean comma sharp.
Threads/Folders on the tuning list:
- http://launch.groups.yahoo.com/group/tuning/message/100919 - "The True Octave"
- http://launch.groups.yahoo.com/group/tuning/message/101004 - "A new equal tempered scale?"
- MarioPizarro - Google Drive - Collection of materials on the topic