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

Wikispaces>Andrew_Heathwaite
**Imported revision 463113976 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 463125434 - 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>2013-10-25 13:25:32 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2013-10-25 13:59:33 UTC</tt>.<br>
: The original revision id was <tt>463113976</tt>.<br>
: The original revision id was <tt>463125434</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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|| 34/31 || 159.920 || 31 ||
|| 34/31 || 159.920 || 31 ||
===Large Central Seconds (160-170 cents)===  
===Large Central Seconds (160-170 cents)===  
Beginning of Equable Heptatonic Region (160-182 cents)
====Beginning of Equable Heptatonic Region (160-182 cents)====
||~ ratio ||~ cents value ||~ prime limit ||
||~ ratio ||~ cents value ||~ prime limit ||
|| 45/41 || 161.161 || 41 ||
|| 45/41 || 161.161 || 41 ||
|| 11/10 = 33/30 || 165.004 || 11 ||
|| 11/10 = 33/30 || 165.004 || 11 ||
|| 43/39 || 169.035 || 43 ||
|| 43/39 || 169.035 || 43 ||
End of Large Central Seconds Region, continuation of Equable Heptatonic Region
====End of Large Central Seconds Region, continuation of Equable Heptatonic Region====
||~ ratio ||~ cents value ||~ prime limit ||
||~ ratio ||~ cents value ||~ prime limit ||
|| 32/29 || 170.423 || 29 ||
|| 32/29 || 170.423 || 29 ||
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|| 31/28 || 176.210 || 31 ||
|| 31/28 || 176.210 || 31 ||
|| 41/37 || 177.718 || 41 ||
|| 41/37 || 177.718 || 41 ||
End of Equable Heptatonic Region.
====End of Equable Heptatonic Region.====


==Major Seconds (180-240 cents)==  
==Major Seconds (180-240 cents)==  
TO BE CONTINUED</pre></div>
===Small Major Seconds (180-200 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 10/9 = 30/27 = 50/45 || 182.404 || 5 ||
|| 39/35 || 187.343 || 13 ||
|| 29/26 || 189.050 || 29 ||
|| 19/17 || 192.558 || 19 ||
|| 47/42 || 194.726 || 47 ||
|| 28/25 || 196.198 || 7 ||
|| 37/33 || 198.071 || 37 ||
|| 46/41 || 199.212 || 41 ||
===Middle Major Seconds (200-220 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 9/8 = 27/24 = 45/40 || 203.910 || 3 ||
|| 44/39 || 208.835 || 13 ||
|| 35/31 || 210.104 || 31 ||
|| 26/23 || 212.253 || 23 ||
|| 43/38 || 214.005 || 43 ||
|| 17/15 || 216.687 || 17 ||
|| 42/37 || 219.437 || 37 ||
===Large Major Seconds (220-240 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 25/22 || 221.309 || 11 ||
|| 33/29 || 223.696 || 29 ||
|| 41/36 || 225.152 || 41 ||
|| 8/7 = 24/21 = 40/35 || 231.174 || 7 ||
|| 47/41 || 236.444 || 47 ||
|| 39/34 || 237.527 || 17 ||
|| 31/27 || 239.171 || 31 ||
==Interseptimal Region (M2-m3) (240-260 cents)==
||~ ratio ||~ cents value ||~ prime limit ||
|| 54/47 || 240.358 || 47 ||
|| 23/20 || 241.961 || 23 ||
|| 38/33 || 244.240 || 19 ||
|| 15/13 = 45/39 || 247.741 || 13 ||
|| 52/45 || 250.304 || 13 ||
|| 37/32 || 251.344 || 37 ||
|| 22/19 || 253.805 || 19 ||
|| 29/25 || 256.950 || 29 ||
|| 36/31 || 258.874 || 31 ||
== ==
==Minor Thirds (260-330 cents)==
===Small Minor Thirds (260-280 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 43/37 || 260.174 || 43 ||
|| 50/43 || 261.110 || 43 ||
|| 7/6 = 21/18 = 35/30 || 266.871 || 7 ||
|| 48/41 || 272.893 || 41 ||
|| 41/35 || 273.923 || 41 ||
|| 34/29 || 275.378 || 29 ||
|| 27/23 || 277.591 || 23 ||
|| 47/40 || 279.193 || 47 ||
===Middle Minor Thirds (280-300 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 20/17 || 281.358 || 17 ||
|| 33/28 || 284.447 || 11 ||
|| 46/39 || 285.792 || 23 ||
|| 13/11 = 39/33 || 289.210 || 13 ||
|| 45/38 || 292.711 || 19 ||
|| 32/27 || 294.135 || 3 ||
|| 19/16 || 297.513 || 19 ||
|| 44/37 || 299.974 || 37 ||
===Large Minor Thirds (300-330 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 25/21 || 301.847 || 7 ||
|| 56/47 || 303.319 || 47 ||
|| 31/26 || 304.508 || 31 ||
|| 37/31 || 306.308 || 37 ||
|| 43/36 || 307.608 || 43 ||
|| 6/5 = 18/15 = 30/25 = 42/35 = 54/45 || 315.641 || 5 ||
|| 47/39 || 323.024 || 47 ||
|| 41/34 || 324.107 || 41 ||
|| 35/29 || 325.562 || 29 ||
|| 29/24 || 327.622 || 29 ||
|| 52/43 || 329.010 || 43 ||
== ==
==Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)==
===Small Central Thirds (330-342 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 23/19 || 330.761 || 23 ||
|| 40/33 || 333.041 || 11 ||
|| 17/14 || 336.130 || 17 ||
|| 45/37 || 338.880 || 37 ||
|| 28/23 || 340.552 || 23 ||
===Middle Central Thirds (342-360 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 39/32 || 342.483 || 13 ||
|| 50/41 || 343.565 || 41 ||
|| 11/9 = 33/27 || 347.408 || 11 ||
|| 38/31 || 352.477 || 31 ||
|| 27/22 || 354.547 || 11 ||
|| 43/35 || 356.378 || 43 ||
|| 16/13 = 48/39 || 359.472 || 13 ||
===Large Central Thirds (360-372 cents)===
||~ ratio ||~ cents value ||~ prime limit ||
|| 37/30 || 363.075 || 37 ||
|| 58/47 || 364.071 || 47 ||
|| 21/17 || 365.825 || 17 ||
|| 47/38 || 367.994 || 47 ||
|| 26/21 || 369.747 || 13 ||
 
to be continued</pre></div>
<h4>Original HTML content:</h4>
<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;47-limit&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 47-limit. Whoa.&lt;br /&gt;
<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;47-limit&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 47-limit. Whoa.&lt;br /&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Large Central Seconds (160-170 cents)&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Large Central Seconds (160-170 cents)&lt;/h3&gt;
  Beginning of Equable Heptatonic Region (160-182 cents)&lt;br /&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc11"&gt;&lt;a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-Beginning of Equable Heptatonic Region (160-182 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Beginning of Equable Heptatonic Region (160-182 cents)&lt;/h4&gt;
 


&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
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&lt;/table&gt;
&lt;/table&gt;


End of Large Central Seconds Region, continuation of Equable Heptatonic Region&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc12"&gt;&lt;a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-End of Large Central Seconds Region, continuation of Equable Heptatonic Region"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;End of Large Central Seconds Region, continuation of Equable Heptatonic Region&lt;/h4&gt;
 


&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
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&lt;/table&gt;
&lt;/table&gt;


End of Equable Heptatonic Region.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc13"&gt;&lt;a name="x-Central or Zalzalian Seconds (formerly Neutral Seconds) (125-170 cents)-Large Central Seconds (160-170 cents)-End of Equable Heptatonic Region."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;End of Equable Heptatonic Region.&lt;/h4&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x-Major Seconds (180-240 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Major Seconds (180-240 cents)&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x-Major Seconds (180-240 cents)-Small Major Seconds (180-200 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Small Major Seconds (180-200 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;10/9 = 30/27 = 50/45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;182.404&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;39/35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;187.343&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;29/26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;189.050&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;192.558&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;47/42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;194.726&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;28/25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;196.198&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;37/33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;198.071&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;46/41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;199.212&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;41&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x-Major Seconds (180-240 cents)-Middle Major Seconds (200-220 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Middle Major Seconds (200-220 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;9/8 = 27/24 = 45/40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;203.910&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;44/39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;208.835&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;35/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;210.104&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;26/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;212.253&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;43/38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;214.005&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;17/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;216.687&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;42/37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;219.437&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc17"&gt;&lt;a name="x-Major Seconds (180-240 cents)-Large Major Seconds (220-240 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Large Major Seconds (220-240 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;25/22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;221.309&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33/29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;223.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;41/36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;225.152&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;8/7 = 24/21 = 40/35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;231.174&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;47/41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;236.444&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;39/34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;237.527&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;31/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;239.171&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="x-Interseptimal Region (M2-m3) (240-260 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Interseptimal Region (M2-m3) (240-260 cents)&lt;/h2&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;54/47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;240.358&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;23/20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;241.961&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;38/33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;244.240&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;15/13 = 45/39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;247.741&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;52/45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;250.304&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;37/32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;251.344&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;22/19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;253.805&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;29/25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;256.950&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;258.874&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt; &lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="x-Minor Thirds (260-330 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Minor Thirds (260-330 cents)&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc21"&gt;&lt;a name="x-Minor Thirds (260-330 cents)-Small Minor Thirds (260-280 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Small Minor Thirds (260-280 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;43/37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;260.174&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;50/43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;261.110&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;7/6 = 21/18 = 35/30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;266.871&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;48/41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;272.893&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;41/35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;273.923&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;34/29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;275.378&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;277.591&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;47/40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;279.193&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;47&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc22"&gt;&lt;a name="x-Minor Thirds (260-330 cents)-Middle Minor Thirds (280-300 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Middle Minor Thirds (280-300 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;20/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;281.358&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;33/28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;284.447&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;46/39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;285.792&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;13/11 = 39/33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;289.210&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;45/38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;292.711&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;32/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;294.135&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19/16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;297.513&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;44/37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;299.974&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;37&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc23"&gt;&lt;a name="x-Minor Thirds (260-330 cents)-Large Minor Thirds (300-330 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;Large Minor Thirds (300-330 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;25/21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;301.847&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;56/47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;303.319&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;31/26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;304.508&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;37/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;306.308&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;43/36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;307.608&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;6/5 = 18/15 = 30/25 = 42/35 = 54/45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;315.641&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;47/39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;323.024&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;41/34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;324.107&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;35/29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;325.562&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29/24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;327.622&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;52/43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;329.010&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:48:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc24"&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt; &lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc25"&gt;&lt;a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc26"&gt;&lt;a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Small Central Thirds (330-342 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;Small Central Thirds (330-342 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;23/19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;330.761&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;40/33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;333.041&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;336.130&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;45/37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;338.880&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;28/23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;340.552&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc27"&gt;&lt;a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Middle Central Thirds (342-360 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;Middle Central Thirds (342-360 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;39/32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;342.483&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;50/41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;343.565&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;11/9 = 33/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;347.408&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;38/31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;352.477&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;27/22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;354.547&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;43/35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;356.378&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;16/13 = 48/39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;359.472&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc28"&gt;&lt;a name="x-Central or Zalzalian Thirds (formerly Neutral Thirds) (330-372 cents)-Large Central Thirds (360-372 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Large Central Thirds (360-372 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;37/30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;363.075&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;58/47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;364.071&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;21/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;365.825&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;47/38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;367.994&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;26/21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;369.747&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Major Seconds (180-240 cents)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Major Seconds (180-240 cents)&lt;/h2&gt;
to be continued&lt;/body&gt;&lt;/html&gt;</pre></div>
TO BE CONTINUED&lt;/body&gt;&lt;/html&gt;</pre></div>