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List of 47-odd-limit intervals: Difference between revisions

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**Imported revision 463335936 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 463349948 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2013-10-26 13:40:17 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2013-10-26 15:13:59 UTC</tt>.<br>
: The original revision id was <tt>463335936</tt>.<br>
: The original revision id was <tt>463349948</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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|| 29/21 || 558.796 || 29 ||
|| 29/21 || 558.796 || 29 ||
|| 47/34 || 560.551 || 47 ||
|| 47/34 || 560.551 || 47 ||
==Tritonic Region (560-640 cents)==
===Small Tritones (560-577 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 18/13 = 54/39 || 563.382 || 13 ||
|| 43/31 || 566.382 || 43 ||
|| 25/18 || 568.717 || 5 ||
|| 32/23 || 571.726 || 23 ||
|| 39/28 || 573.657 || 13 ||
|| 46/33 || 575.001 || 23 ||
|| 60/43 || 576.751 || 43 ||
===Middle Tritones (577-623 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 7/5 = 21/15 = 35/25 || 582.512 || 7 ||
|| 66/47 || 587.766 || 47 ||
|| 52/37 || 589.184 || 37 ||
|| 45/32 || 590.224 || 5 ||
|| 38/27 || 591.648 || 19 ||
|| 31/22 || 593.718 || 31 ||
|| 24/17 || 597.000 || 17 ||
|| 41/29 || 599.485 || 41 ||
|| 58/41 || 600.515 || 41 ||
|| 17/12 || 603.000 || 17 ||
|| 44/31 || 606.282 || 31 ||
|| 27/19 || 608.352 || 19 ||
|| 64/45 || 609.776 || 5 ||
|| 37/26 || 610.816 || 37 ||
|| 47/33 || 612.234 || 47 ||
|| 10/7 = 30/21 = 50/35 || 617.488 || 7 ||
===Large Tritones (623-640 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 43/30 || 623.249 || 43 ||
|| 33/23 || 624.999 || 23 ||
|| 56/39 || 626.343 || 13 ||
|| 23/16 || 628.274 || 23 ||
|| 36/25 || 631.283 || 5 ||
|| 62/43 || 633.518 || 43 ||
|| 13/9 = 39/27 || 636.618 || 13 ||
|| 68/47 || 639.449 || 47 ||




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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;560.551&lt;br /&gt;
         &lt;td&gt;560.551&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:78:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc39"&gt;&lt;a name="x-Tritonic Region (560-640 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:78 --&gt;Tritonic Region (560-640 cents)&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:80:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc40"&gt;&lt;a name="x-Tritonic Region (560-640 cents)-Small Tritones (560-577 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:80 --&gt;Small Tritones (560-577 cents)&lt;/h3&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents value&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;prime limit&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18/13 = 54/39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;563.382&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;566.382&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25/18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;568.717&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;571.726&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;39/28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;573.657&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46/33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;575.001&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;60/43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;576.751&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;!-- ws:start:WikiTextHeadingRule:82:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc41"&gt;&lt;a name="x-Tritonic Region (560-640 cents)-Middle Tritones (577-623 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:82 --&gt;Middle Tritones (577-623 cents)&lt;/h3&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents value&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;prime limit&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7/5 = 21/15 = 35/25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;582.512&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;66/47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;587.766&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52/37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;589.184&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;45/32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;590.224&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;591.648&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31/22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;593.718&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;597.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41/29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;599.485&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;58/41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;600.515&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;603.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;606.282&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27/19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;608.352&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;64/45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;609.776&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;37/26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;610.816&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;47/33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;612.234&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10/7 = 30/21 = 50/35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;617.488&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;!-- ws:start:WikiTextHeadingRule:84:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc42"&gt;&lt;a name="x-Tritonic Region (560-640 cents)-Large Tritones (623-640 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:84 --&gt;Large Tritones (623-640 cents)&lt;/h3&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;ratio&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents value&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;prime limit&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43/30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;623.249&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;624.999&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;56/39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;626.343&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23/16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;628.274&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36/25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;631.283&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;62/43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;633.518&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;43&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13/9 = 39/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;636.618&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;68/47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;639.449&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;47&lt;br /&gt;
         &lt;td&gt;47&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/List_of_47-odd-limit_intervals"