Musical cells
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- This revision was by author xenwolf and made on 2011-08-21 12:15:36 UTC.
- The original revision id was 247394293.
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Original Wikitext content:
**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 //[[http://launch.groups.yahoo.com/group/tuning/message/100427|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]]
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/
== see also ==
* [[Octave]]Original HTML content:
<html><head><title>musical cells</title></head><body><strong>Musical cells</strong> is a system of <a class="wiki_link" href="/Mario%20Pizarro">Mario Pizarro</a> for constructing <a class="wiki_link" href="/circulating%20temperaments">circulating temperaments</a>. Recently he has connected this to a system of stretched octaves he calls "<strong>toctaves</strong>". This is discussed on <em><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100427" rel="nofollow">The corrected progression of musical cells</a></em>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:1:<h1> --><h1 id="toc0"><a name="Toctave"></a><!-- ws:end:WikiTextHeadingRule:1 --> Toctave </h1>
<strong>Toctave</strong> (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.<br />
<br />
<!-- ws:start:WikiTextMathRule:0:
[[math]]<br/>
Toctave=\frac{27}{16}\sqrt[4]{2} \approx 2.0067870065670918\dots<br/>[[math]]
--><script type="math/tex">Toctave=\frac{27}{16}\sqrt[4]{2} \approx 2.0067870065670918\dots</script><!-- ws:end:WikiTextMathRule:0 --><br />
<br />
This is 1/4 of a Pythagorean comma sharp.<br />
<br />
Threads/Folders on the tuning list:<br />
<ul><li><!-- ws:start:WikiTextUrlRule:31:http://launch.groups.yahoo.com/group/tuning/message/100919 --><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100919" rel="nofollow">http://launch.groups.yahoo.com/group/tuning/message/100919</a><!-- ws:end:WikiTextUrlRule:31 --> - "The True Octave"</li><li><!-- ws:start:WikiTextUrlRule:32:http://launch.groups.yahoo.com/group/tuning/message/101004 --><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/101004" rel="nofollow">http://launch.groups.yahoo.com/group/tuning/message/101004</a><!-- ws:end:WikiTextUrlRule:32 --> - "A new equal tempered scale?"</li><li><!-- ws:start:WikiTextUrlRule:33:http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/ --><a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/" rel="nofollow">http://launch.groups.yahoo.com/group/tuning/files/MarioPizarro/</a><!-- ws:end:WikiTextUrlRule:33 --></li></ul><br />
<!-- ws:start:WikiTextHeadingRule:3:<h2> --><h2 id="toc1"><a name="Toctave-see also"></a><!-- ws:end:WikiTextHeadingRule:3 --> see also </h2>
<ul><li><a class="wiki_link" href="/Octave">Octave</a></li></ul></body></html>