380edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-07-30 15:33:49 UTC</tt>.<br>
: The original revision id was <tt>616005001</tt>.<br>
: The revision comment was: <tt>added image (deorphaning), basic content</tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">380edo divides the 2/1 (octave) into 380 equal steps of 3.1479 [[cents]].


It has particularly accurate approximations of primes 23 and 29. Approximations of 7, 13, 17, and 19 are also very good.
== Theory ==
380edo notably provides the [[optimal patent val]] for the 2.3.11 [[subgroup]] [[neutral]] temperament. It has particularly accurate approximations of primes 23 and 29. Approximations of 7, 13, 17, and 19 are also very good.


Scales:
[[File:neutral_380edo.png|thumb|alt=neutral_380edo.png|Neutral in 380edo]]
[[omahat]]


[[image:neutraltet_380edo.png]]</pre></div>
=== Odd harmonics ===
<h4>Original HTML content:</h4>
{{Harmonics in equal|380}}
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;380edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;380edo divides the 2/1 (octave) into 380 equal steps of 3.1479 &lt;a class="wiki_link" href="/cents"&gt;cents&lt;/a&gt;.&lt;br /&gt;
 
&lt;br /&gt;
=== Subsets and supersets ===
It has particularly accurate approximations of primes 23 and 29.  Approximations of 7, 13, 17, and 19 are also very good.&lt;br /&gt;
Since 380 factors into {{factorization|380}}, 380edo has subset edos {{EDOs| 2, 4, 5, 10, 19, 20, 38, 76, 95, and 190 }}.  
&lt;br /&gt;
 
Scales:&lt;br /&gt;
== Scales ==
&lt;a class="wiki_link" href="/omahat"&gt;omahat&lt;/a&gt;&lt;br /&gt;
* [[Neutral7]]
&lt;br /&gt;
* [[Neutral10]]
&lt;!-- ws:start:WikiTextLocalImageRule:0:&amp;lt;img src=&amp;quot;/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:0 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[Neutral17]]
* [[Omahat]]
 
[[Category:Neutral]]

Latest revision as of 14:48, 20 February 2025

← 379edo 380edo 381edo →
Prime factorization 22 × 5 × 19
Step size 3.15789 ¢ 
Fifth 222\380 (701.053 ¢) (→ 111\190)
Semitones (A1:m2) 34:30 (107.4 ¢ : 94.74 ¢)
Consistency limit 5
Distinct consistency limit 5

380 equal divisions of the octave (abbreviated 380edo or 380ed2), also called 380-tone equal temperament (380tet) or 380 equal temperament (380et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 380 equal parts of about 3.16 ¢ each. Each step represents a frequency ratio of 21/380, or the 380th root of 2.

Theory

380edo notably provides the optimal patent val for the 2.3.11 subgroup neutral temperament. It has particularly accurate approximations of primes 23 and 29. Approximations of 7, 13, 17, and 19 are also very good.

neutral_380edo.png
Neutral in 380edo

Odd harmonics

Approximation of odd harmonics in 380edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.90 -1.05 +0.65 +1.35 +1.31 -0.53 +1.20 -0.74 -0.67 -0.25 +0.15
Relative (%) -28.6 -33.3 +20.5 +42.8 +41.6 -16.7 +38.2 -23.6 -21.2 -8.1 +4.6
Steps
(reduced) 		602
(222) 		882
(122) 		1067
(307) 		1205
(65) 		1315
(175) 		1406
(266) 		1485
(345) 		1553
(33) 		1614
(94) 		1669
(149) 		1719
(199)

Subsets and supersets

Since 380 factors into 22 × 5 × 19, 380edo has subset edos 2, 4, 5, 10, 19, 20, 38, 76, 95, and 190.

Scales

Retrieved from "https://en.xen.wiki/index.php?title=380edo&oldid=181761"