102edo: Difference between revisions

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**Imported revision 602896474 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''102edo''' is the [[Equal_division_of_the_octave|equal division of the octave]] into 102 steps of size 11.765 [[cent|cent]]s each. In the [[5-limit|5-limit]] it [[tempering_out|tempers out]] the same [[Comma|comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo|34edo]]. In the [[7-limit|7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit|11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit|13-limit]] 91/90 and 169/168; in the [[17-limit|17-limit]] 136/135 and 154/153; and in the [[19-limit|19-limit]] 133/132 and 190/189. It is the [[Optimal_patent_val|optimal patent val]] for 13-limit [[Diaschismic_family#Echidnic|echidnic temperament]], and the rank five temperament tempering out 91/90.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 13:27:39 UTC</tt>.<br>
: The original revision id was <tt>602896474</tt>.<br>
: 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>
<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">**102edo** is the [[equal division of the octave]] into 102 steps of size 11.765 [[cent]]s each. In the [[5-limit]] it [[tempering out|tempers out]] the same [[comma]]s (2048/2025, 15625/15552, 20000/19683) as [[34edo]]. In the [[7-limit]] it tempers out 686/675 and 1029/1024; in the [[11-limit]] 385/384, 441/440 and 4000/3993; in the [[13-limit]] 91/90 and 169/168; in the [[17-limit]] 136/135 and 154/153; and in the [[19-limit]] 133/132 and 190/189. It is the [[optimal patent val]] for 13-limit [[Diaschismic family#Echidnic|echidnic temperament]], and the rank five temperament tempering out 91/90.
===13-limit Echidnic===
|| 2 || 23.529 ||
|| 4 || 47.059 ||
|| 7 || 82.353 ||
|| 9 || 105.882 ||
|| 11 || 129.412 ||
|| 13 || 152.941 ||
|| 16 || 188.235 ||
|| 18 || 211.765 ||
|| 20 || 235.294 ||
|| 22 || 258.824 ||
|| 24 || 282.353 ||
|| 27 || 317.647 ||
|| 29 || 341.176 ||
|| 31 || 364.706 ||
|| 33 || 388.235 ||
|| 35 || 411.765 ||
|| 38 || 447.059 ||
|| 40 || 470.588 ||
|| 42 || 494.117 ||
|| 44 || 517.647 ||
|| 47 || 552.941 ||
|| 49 || 576.471 ||</pre></div>
<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;102edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;102edo&lt;/strong&gt; is the &lt;a class="wiki_link" href="/equal%20division%20of%20the%20octave"&gt;equal division of the octave&lt;/a&gt; into 102 steps of size 11.765 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s each. In the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; it &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the same &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s (2048/2025, 15625/15552, 20000/19683) as &lt;a class="wiki_link" href="/34edo"&gt;34edo&lt;/a&gt;. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt; it tempers out 686/675 and 1029/1024; in the &lt;a class="wiki_link" href="/11-limit"&gt;11-limit&lt;/a&gt; 385/384, 441/440 and 4000/3993; in the &lt;a class="wiki_link" href="/13-limit"&gt;13-limit&lt;/a&gt; 91/90 and 169/168; in the &lt;a class="wiki_link" href="/17-limit"&gt;17-limit&lt;/a&gt; 136/135 and 154/153; and in the &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; 133/132 and 190/189. It is the &lt;a class="wiki_link" href="/optimal%20patent%20val"&gt;optimal patent val&lt;/a&gt; for 13-limit &lt;a class="wiki_link" href="/Diaschismic%20family#Echidnic"&gt;echidnic temperament&lt;/a&gt;, and the rank five temperament tempering out 91/90.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--13-limit Echidnic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;13-limit Echidnic&lt;/h3&gt;


&lt;table class="wiki_table"&gt;
===13-limit Echidnic===
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23.529&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;47.059&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;82.353&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;105.882&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;129.412&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;152.941&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;188.235&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.765&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;235.294&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;258.824&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;282.353&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;317.647&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;341.176&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;364.706&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;388.235&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;411.765&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;447.059&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;470.588&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;494.117&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;517.647&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;552.941&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;576.471&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
{| class="wikitable"
|-
| | 2
| | 23.529
|-
| | 4
| | 47.059
|-
| | 7
| | 82.353
|-
| | 9
| | 105.882
|-
| | 11
| | 129.412
|-
| | 13
| | 152.941
|-
| | 16
| | 188.235
|-
| | 18
| | 211.765
|-
| | 20
| | 235.294
|-
| | 22
| | 258.824
|-
| | 24
| | 282.353
|-
| | 27
| | 317.647
|-
| | 29
| | 341.176
|-
| | 31
| | 364.706
|-
| | 33
| | 388.235
|-
| | 35
| | 411.765
|-
| | 38
| | 447.059
|-
| | 40
| | 470.588
|-
| | 42
| | 494.117
|-
| | 44
| | 517.647
|-
| | 47
| | 552.941
|-
| | 49
| | 576.471
|}
[[Category:echidnic]]
[[Category:edo]]