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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
In 19-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 19.
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>2012-12-12 17:05:23 UTC</tt>.<br>
: The original revision id was <tt>391765674</tt>.<br>
: The revision comment was: <tt>corrected link targets WTF...</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">In 19-limit [[Just Intonation]], all ratios in the system will contain no primes higher than 19.


==[[#x-17-limit Intervals]]19-odd limit Intervals==  
==19-odd limit Intervals==
||~ Ratio ||~ Cents Value ||~ Name ||
|| [[20_19|20/19]] || 88.801 || lesser undevicesimal semitone ||
|| [[19_18|19/18]] || 93.603 || greater undevicesimal semitone ||
|| [[19_17|19/17]] || 192.558 || undevicesimal whole tone ("meantone") ||
|| [[22_19|22/19]] || 253.805 ||  ||
|| [[19_16|19/16]] || 297.513 || undevicesimal minor third ||
|| [[24_19|24/19]] || 404.442 || lesser undevicesimal major third ||
|| [[19_15|19/15]] || 409.244 || greater undevicesimal major third ||
|| [[19_14|19/14]] || 528.687 || undevicesimal acute fourth ||
|| [[26_19|26/19]] || 543.015 || undevicesimal superfourth ||
|| [[19_13|19/13]] || 656.985 || undevicesimal subfifth ||
|| [[28_19|28/19]] || 671.313 || undevicesimal grave fifth ||
|| [[30_19|30/19]] || 790.756 || lesser undevicesimal minor sixth ||
|| [[19_12|19/12]] || 795.558 || lesser undevicesimal minor sixth ||
|| [[32_19|32/19]] || 902.487 || undevicesimal major sixth ||
|| [[19_11|19/11]] || 946.195 ||  ||
|| [[34_19|34/19]] || 1007.442 || undevicesimal minor seventh ||
|| [[36_19|36/19]] || 1106.397 || lesser undevicesimal major seventh ||
|| [[19_10|19/10]] || 1111.199 || greater undevicesimal major seventh ||


see [[Harmonic Limit]]</pre></div>
{| class="wikitable"
<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;19-limit&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In 19-limit &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, all ratios in the system will contain no primes higher than 19.&lt;br /&gt;
! | Ratio
&lt;br /&gt;
! | Cents Value
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-19-odd limit Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;!-- ws:start:WikiTextAnchorRule:2:&amp;lt;img src=&amp;quot;/i/anchor.gif&amp;quot; class=&amp;quot;WikiAnchor&amp;quot; alt=&amp;quot;Anchor&amp;quot; id=&amp;quot;wikitext@@anchor@@x-17-limit Intervals&amp;quot; title=&amp;quot;Anchor: x-17-limit Intervals&amp;quot;/&amp;gt; --&gt;&lt;a name="x-17-limit Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextAnchorRule:2 --&gt;19-odd limit Intervals&lt;/h2&gt;
! | Name
|-
| | [[20/19|20/19]]
| | 88.801
| | lesser undevicesimal semitone
|-
| | [[19/18|19/18]]
| | 93.603
| | greater undevicesimal semitone
|-
| | [[19/17|19/17]]
| | 192.558
| | undevicesimal whole tone ("meantone")
|-
| | [[22/19|22/19]]
| | 253.805
| |
|-
| | [[19/16|19/16]]
| | 297.513
| | undevicesimal minor third
|-
| | [[24/19|24/19]]
| | 404.442
| | lesser undevicesimal major third
|-
| | [[19/15|19/15]]
| | 409.244
| | greater undevicesimal major third
|-
| | [[19/14|19/14]]
| | 528.687
| | undevicesimal acute fourth
|-
| | [[26/19|26/19]]
| | 543.015
| | undevicesimal superfourth
|-
| | [[19/13|19/13]]
| | 656.985
| | undevicesimal subfifth
|-
| | [[28/19|28/19]]
| | 671.313
| | undevicesimal grave fifth
|-
| | [[30/19|30/19]]
| | 790.756
| | lesser undevicesimal minor sixth
|-
| | [[19/12|19/12]]
| | 795.558
| | lesser undevicesimal minor sixth
|-
| | [[32/19|32/19]]
| | 902.487
| | undevicesimal major sixth
|-
| | [[19/11|19/11]]
| | 946.195
| |
|-
| | [[34/19|34/19]]
| | 1007.442
| | undevicesimal minor seventh
|-
| | [[36/19|36/19]]
| | 1106.397
| | lesser undevicesimal major seventh
|-
| | [[19/10|19/10]]
| | 1111.199
| | greater undevicesimal major seventh
|}


&lt;table class="wiki_table"&gt;
see [[Harmonic_Limit|Harmonic Limit]]      [[Category:19-limit]]
    &lt;tr&gt;
[[Category:limit]]
        &lt;th&gt;Ratio&lt;br /&gt;
[[Category:prime_limit]]
&lt;/th&gt;
[[Category:rank_8]]
        &lt;th&gt;Cents Value&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Name&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/20_19"&gt;20/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;88.801&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;lesser undevicesimal semitone&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_18"&gt;19/18&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;93.603&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;greater undevicesimal semitone&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_17"&gt;19/17&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;192.558&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal whole tone (&amp;quot;meantone&amp;quot;)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/22_19"&gt;22/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;253.805&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_16"&gt;19/16&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;297.513&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal minor third&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/24_19"&gt;24/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;404.442&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;lesser undevicesimal major third&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_15"&gt;19/15&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;409.244&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;greater undevicesimal major third&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_14"&gt;19/14&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;528.687&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal acute fourth&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/26_19"&gt;26/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;543.015&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal superfourth&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_13"&gt;19/13&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;656.985&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal subfifth&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/28_19"&gt;28/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;671.313&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal grave fifth&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/30_19"&gt;30/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;790.756&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;lesser undevicesimal minor sixth&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_12"&gt;19/12&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;795.558&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;lesser undevicesimal minor sixth&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/32_19"&gt;32/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;902.487&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal major sixth&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_11"&gt;19/11&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;946.195&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/34_19"&gt;34/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1007.442&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;undevicesimal minor seventh&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/36_19"&gt;36/19&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1106.397&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;lesser undevicesimal major seventh&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/19_10"&gt;19/10&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1111.199&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;greater undevicesimal major seventh&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
see &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;Harmonic Limit&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

In 19-limit Just Intonation, all ratios in the system will contain no primes higher than 19.

19-odd limit Intervals

Ratio Cents Value Name
20/19 88.801 lesser undevicesimal semitone
19/18 93.603 greater undevicesimal semitone
19/17 192.558 undevicesimal whole tone ("meantone")
22/19 253.805
19/16 297.513 undevicesimal minor third
24/19 404.442 lesser undevicesimal major third
19/15 409.244 greater undevicesimal major third
19/14 528.687 undevicesimal acute fourth
26/19 543.015 undevicesimal superfourth
19/13 656.985 undevicesimal subfifth
28/19 671.313 undevicesimal grave fifth
30/19 790.756 lesser undevicesimal minor sixth
19/12 795.558 lesser undevicesimal minor sixth
32/19 902.487 undevicesimal major sixth
19/11 946.195
34/19 1007.442 undevicesimal minor seventh
36/19 1106.397 lesser undevicesimal major seventh
19/10 1111.199 greater undevicesimal major seventh

see Harmonic Limit

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