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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Ernest McClain, in his ''Myth of Invariance'', attaches great importance to a scale construction consisting of all positive integers less than or equal to an integer n belonging to the prime limit p, reduced to an octave, which can be termed yantra(p, n). This construction is interesting independently of any consideration of whether McClain's general thesis makes any sense. This idea can be extended to scales we may call yantgen(n, m), consisting of all divisors of n less than or equal to m reduced to the octave. This construction includes both the '''yantra'''{{idiosyncratic}} and the [[Euler genus]], since yantgen(n, n) = genus(n), whereas yantgen((p!)^n, n) = yantra(p, n). |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-07 17:38:19 UTC</tt>.<br>
| | [[Category:Euler-Fokker genera]] |
| : The original revision id was <tt>240423591</tt>.<br>
| | [[Category:Scales by family]] |
| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <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">Ernest McClain, in his //Myth of Invariance//, attaches great importance to a scale construction consisting of all positive integers less than or equal to an integer n belonging to the prime limit p, reduced to an octave, which can be termed yantra(p, n). This construction is interesting independently of any consideration of whether McClain's general thesis makes any sense. This idea can be extended to scales we may call yantgen(n, m), consisting of all divisors of n less than or equal to m reduced to the octave. This construction includes both the yantra and the Euler genus, since yantgen(n, n) = genus(n), whereas yantgen((p!)^n, n) = yantra(p, n).</pre></div>
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| <h4>Original HTML content:</h4>
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| <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>Yantras</title></head><body>Ernest McClain, in his <em>Myth of Invariance</em>, attaches great importance to a scale construction consisting of all positive integers less than or equal to an integer n belonging to the prime limit p, reduced to an octave, which can be termed yantra(p, n). This construction is interesting independently of any consideration of whether McClain's general thesis makes any sense. This idea can be extended to scales we may call yantgen(n, m), consisting of all divisors of n less than or equal to m reduced to the octave. This construction includes both the yantra and the Euler genus, since yantgen(n, n) = genus(n), whereas yantgen((p!)^n, n) = yantra(p, n).</body></html></pre></div>
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Ernest McClain, in his Myth of Invariance, attaches great importance to a scale construction consisting of all positive integers less than or equal to an integer n belonging to the prime limit p, reduced to an octave, which can be termed yantra(p, n). This construction is interesting independently of any consideration of whether McClain's general thesis makes any sense. This idea can be extended to scales we may call yantgen(n, m), consisting of all divisors of n less than or equal to m reduced to the octave. This construction includes both the yantra[idiosyncratic term] and the Euler genus, since yantgen(n, n) = genus(n), whereas yantgen((p!)^n, n) = yantra(p, n).