Musical cells: Difference between revisions
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'''Musical cells''' is a system of [[Mario_Pizarro|Mario Pizarro]] for constructing [[Circulating_Temperaments|circulating temperaments]]. Recently he has connected this to a system of stretched octaves he calls "'''toctaves'''". This is discussed on ''[ | '''Musical cells''' is a system of [[Mario_Pizarro|Mario Pizarro]] for constructing [[Circulating_Temperaments|circulating temperaments]]. Recently he has connected this to a system of stretched octaves he calls "'''toctaves'''". This is discussed on ''[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_100427.html The corrected progression of musical cells]''. | ||
= Toctave = | = Toctave = | ||
| Line 10: | Line 10: | ||
Threads/Folders on the tuning list: | Threads/Folders on the tuning list: | ||
<ul><li> | <ul><li>http://launch.groups.yahoo.com/group/tuning/message/100919 - "The True Octave"</li><li>http://launch.groups.yahoo.com/group/tuning/message/101004 - "A new equal tempered scale?"</li><li>http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/</li></ul> | ||
== see also == | == see also == | ||
<ul><li>[[Octave|Octave]]</li></ul> [[Category:todo:add_definition]] | <ul><li>[[Octave|Octave]]</li></ul> | ||
[[Category:todo:add_definition]] | |||
[[Category:todo:expand]] | [[Category:todo:expand]] | ||
Revision as of 00:06, 6 November 2020
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?"
- http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/