Diamond function
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Original Wikitext content:
The Diamond can also be thought of as being formed by the common tone modulations of all the elements in a set. It is also known as a Lambdoma 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== * [[http://en.wikipedia.org/wiki/Tonality_diamond|Tonality diamond -- Wikipedia]]
Original HTML content:
<html><head><title>Diamonds</title></head><body>The Diamond can also be thought of as being formed by the common tone modulations of all the elements in a set. It is also known as a Lambdoma<br /> <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 /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><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:<h2> --><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>