10600edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-09-19 11:19:37 UTC</tt>.<br>
 
: The original revision id was <tt>255658022</tt>.<br>
Dividing the octave into 10600 equal parts gives a [[turkish cent]].
: The revision comment was: <tt></tt><br>
 
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
{{Harmonics in equal|10600}}
<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">Dividing the octave into 10600 equal parts gives a [[turkish cent]].</pre></div>
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<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;10600edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Dividing the octave into 10600 equal parts gives a &lt;a class="wiki_link" href="/turkish%20cent"&gt;turkish cent&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->

Latest revision as of 01:23, 19 December 2025

← 10599edo 10600edo 10601edo →
Prime factorization 23 × 52 × 53
Step size 0.113208 ¢ 
Fifth 6201\10600 (702 ¢) (→ 117\200)
Semitones (A1:m2) 1007:795 (114 ¢ : 90 ¢)
Dual sharp fifth 6201\10600 (702 ¢) (→ 117\200)
Dual flat fifth 6200\10600 (701.887 ¢) (→ 31\53)
Dual major 2nd 1801\10600 (203.887 ¢)
Consistency limit 3
Distinct consistency limit 3

10600 equal divisions of the octave (abbreviated 10600edo or 10600ed2), also called 10600-tone equal temperament (10600tet) or 10600 equal temperament (10600et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 10600 equal parts of about 0.113 ¢ each. Each step represents a frequency ratio of 21/10600, or the 10600th root of 2.

Dividing the octave into 10600 equal parts gives a turkish cent.


Approximation of odd harmonics in 10600edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.0450 -0.0496 +0.0043 -0.0232 +0.0028 +0.0384 -0.0046 -0.0120 -0.0036 +0.0493 +0.0275
Relative (%) +39.7 -43.8 +3.8 -20.5 +2.5 +33.9 -4.0 -10.6 -3.2 +43.5 +24.3
Steps
(reduced)
16801
(6201)
24612
(3412)
29758
(8558)
33601
(1801)
36670
(4870)
39225
(7425)
41413
(9613)
43327
(927)
45028
(2628)
46559
(4159)
47950
(5550)
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