Musical cells: Difference between revisions
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'''Musical cells''' is a system of [[ | '''Musical cells''' is a system of [[Mario Pizarro]] for constructing [[circulating temperament]]s. 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 == | ||
'''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. | '''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. | ||
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Threads/Folders on the tuning list: | Threads/Folders on the tuning list: | ||
* [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_100894.html#100919 http://launch.groups.yahoo.com/group/tuning/message/100919] - "The True Octave" | |||
* [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101004.html http://launch.groups.yahoo.com/group/tuning/message/101004] - "A new equal tempered scale?" | |||
* [https://drive.google.com/drive/folders/1Zu20johQ1YcmVyFGv0V0_QtMDsCeRp7H?usp=sharing MarioPizarro - Google Drive] - Collection of materials on the topic | |||
== | == See also == | ||
[[Category: | * [[Octave]] | ||
[[Category: | |||
[[Category:Todo:add definition]] | |||
[[Category:Todo:expand]] | |||
Revision as of 08:00, 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?"
- MarioPizarro - Google Drive - Collection of materials on the topic