Diamond function: Difference between revisions
Wikispaces>kraiggrady **Imported revision 239307915 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 240274931 - Original comment: ** |
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<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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-06 19:12:18 UTC</tt>.<br> | ||
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The scale steps of the tonality diamond are superparticular ratios, but they are not very evenly distributed. Filling in the gaps, as Harry Partch did with the 11-limit diamond to create a constant structure for his famous Genesis scale, is one way to go about constructing a just intonation scale. A constant structure is where each occurrence of a ratio will always have the same number of scale steps. While this is not completely possible with the 11-limit diamond, Partch was able to do so except in two places. This makes his 43 tone scale related to a 41 tone constant structure with two alternates. | The scale steps of the tonality diamond are superparticular ratios, but they are not very evenly distributed. Filling in the gaps, as Harry Partch did with the 11-limit diamond to create a constant structure for his famous Genesis scale, is one way to go about constructing a just intonation scale. A constant structure is where each occurrence of a ratio will always have the same number of scale steps. While this is not completely possible with the 11-limit diamond, Partch was able to do so except in two places. This makes his 43 tone scale related to a 41 tone constant structure with two alternates. | ||
=Scales= | |||
[[diamond5]] | |||
[[diamond7]] | |||
[[diamond9]] | |||
[[dimond11]] | |||
[[diamond13]] | |||
[[diamond15]] | |||
[[diamond17]] | |||
[[diamond19]] | |||
==see also== | ==see also== | ||
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The scale steps of the tonality diamond are superparticular ratios, but they are not very evenly distributed. Filling in the gaps, as Harry Partch did with the 11-limit diamond to create a constant structure for his famous Genesis scale, is one way to go about constructing a just intonation scale. A constant structure is where each occurrence of a ratio will always have the same number of scale steps. While this is not completely possible with the 11-limit diamond, Partch was able to do so except in two places. This makes his 43 tone scale related to a 41 tone constant structure with two alternates.<br /> | The scale steps of the tonality diamond are superparticular ratios, but they are not very evenly distributed. Filling in the gaps, as Harry Partch did with the 11-limit diamond to create a constant structure for his famous Genesis scale, is one way to go about constructing a just intonation scale. A constant structure is where each occurrence of a ratio will always have the same number of scale steps. While this is not completely possible with the 11-limit diamond, Partch was able to do so except in two places. This makes his 43 tone scale related to a 41 tone constant structure with two alternates.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id=" | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1> | ||
<a class="wiki_link" href="/diamond5">diamond5</a><br /> | |||
<a class="wiki_link" href="/diamond7">diamond7</a><br /> | |||
<a class="wiki_link" href="/diamond9">diamond9</a><br /> | |||
<a class="wiki_link" href="/dimond11">dimond11</a><br /> | |||
<a class="wiki_link" href="/diamond13">diamond13</a><br /> | |||
<a class="wiki_link" href="/diamond15">diamond15</a><br /> | |||
<a class="wiki_link" href="/diamond17">diamond17</a><br /> | |||
<a class="wiki_link" href="/diamond19">diamond19</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Scales-see also"></a><!-- ws:end:WikiTextHeadingRule:2 -->see also</h2> | |||
<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonality_diamond" rel="nofollow">Tonality diamond -- Wikipedia</a></li></ul></body></html></pre></div> | <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonality_diamond" rel="nofollow">Tonality diamond -- Wikipedia</a></li></ul></body></html></pre></div> | ||