Meantone intervals: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~phylingual~~|~~phylingual~~]] and made on <tt>2012-06-29 20:07:59 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-29 20:35:06 UTC</tt>.<br>

: The original revision id was <tt>~~349096692~~</tt>.<br>

: The original revision id was <tt>349099080</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">This table shows all the simple intervals of [[Meantone family#Septimal%20meantone|septimal meantone]], which includes the entire 7-limit tonality diamond.

<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">This table shows all the simple intervals of [[Meantone family#Septimal%20meantone|septimal meantone]], which includes the entire 7-limit tonality diamond. Other relevant tables of meantone intervals are the table of [[quarter-comma meantone]] intervals and the table of [[31edo#Intervals|31 edo intervals]].

In [[12edo]] the diminished second vanishes, so this cornucopia of intervals collapses to a mere 12. None of the intervals is inherently septimal in 12edo, because they all have simpler 5-limit descriptions.

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``*`` In POTE septimal meantone</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"><html><head><title>Meantone intervals</title></head><body>This table shows all the simple intervals of <a class="wiki_link" href="/Meantone%20family#Septimal%20meantone">septimal meantone</a>, which includes the entire 7-limit tonality diamond.<br />

<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"><html><head><title>Meantone intervals</title></head><body>This table shows all the simple intervals of <a class="wiki_link" href="/Meantone%20family#Septimal%20meantone">septimal meantone</a>, which includes the entire 7-limit tonality diamond. Other relevant tables of meantone intervals are the table of <a class="wiki_link" href="/quarter-comma%20meantone">quarter-comma meantone</a> intervals and the table of <a class="wiki_link" href="/31edo#Intervals">31 edo intervals</a>.<br />

<br />

In <a class="wiki_link" href="/12edo">12edo</a> the diminished second vanishes, so this cornucopia of intervals collapses to a mere 12. None of the intervals is inherently septimal in 12edo, because they all have simpler 5-limit descriptions.<br />

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-06-29 20:07:59 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-29 20:35:06 UTC</tt>.<br>
-: The original revision id was <tt>349096692</tt>.<br>
+: The original revision id was <tt>349099080</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">This table shows all the simple intervals of [[Meantone family#Septimal%20meantone|septimal meantone]], which includes the entire 7-limit tonality diamond.
+<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">This table shows all the simple intervals of [[Meantone family#Septimal%20meantone|septimal meantone]], which includes the entire 7-limit tonality diamond. Other relevant tables of meantone intervals are the table of [[quarter-comma meantone]] intervals and the table of [[31edo#Intervals|31 edo intervals]].
 In [[12edo]] the diminished second vanishes, so this cornucopia of intervals collapses to a mere 12. None of the intervals is inherently septimal in 12edo, because they all have simpler 5-limit descriptions.
@@ Line 55: / Line 55: @@
 ``*`` In POTE septimal meantone</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;Meantone intervals&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This table shows all the simple intervals of &lt;a class="wiki_link" href="/Meantone%20family#Septimal%20meantone"&gt;septimal meantone&lt;/a&gt;, which includes the entire 7-limit tonality diamond.&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;Meantone intervals&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This table shows all the simple intervals of &lt;a class="wiki_link" href="/Meantone%20family#Septimal%20meantone"&gt;septimal meantone&lt;/a&gt;, which includes the entire 7-limit tonality diamond. Other relevant tables of meantone intervals are the table of &lt;a class="wiki_link" href="/quarter-comma%20meantone"&gt;quarter-comma meantone&lt;/a&gt; intervals and the table of &lt;a class="wiki_link" href="/31edo#Intervals"&gt;31 edo intervals&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
 In &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt; the diminished second vanishes, so this cornucopia of intervals collapses to a mere 12. None of the intervals is inherently septimal in 12edo, because they all have simpler 5-limit descriptions.&lt;br /&gt;