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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This tetrad has the special property that it is the smallest collection of notes which can create the feeling of "completely representing<span style="line-height: 1.5;">" a particular regular temperament in a "standard" way. However, it only works in even-numbered edxs, for it contains sqrt(x), and it becomes a very weakly "complete" representation of a regular temperament as L:s grows large.</span> |
| 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-09-13 19:02:48 UTC</tt>.<br>
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| : The original revision id was <tt>559135183</tt>.<br>
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| : 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">This tetrad has the special property that it is the smallest collection of notes which can create the feeling of "completely representing<span style="line-height: 1.5;">" a particular regular temperament in a "standard" way. However, it only works in even-numbered edxs, for it contains sqrt(x), and it becomes a very weakly "complete" representation of a regular temperament as L:s grows large.</span>
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| Golden bi-equal tetrad: major 0-phi-phi+1-2*phi+1, minor 0-1-phi+1-phi+2/(2*phi+2)edx | | Golden bi-equal tetrad: major 0-phi-phi+1-2*phi+1, minor 0-1-phi+1-phi+2/(2*phi+2)edx |
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| in edo: major 0-370.82-600-970.82 cents, minor 0-229.18-600-829.18 cents | | in edo: major 0-370.82-600-970.82 cents, minor 0-229.18-600-829.18 cents |
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| Natural logarithm bi-equal tetrad: major 0-e-e+1-2e+1, minor 0-1-e+1-e+2/(2e+2)edx | | Natural logarithm bi-equal tetrad: major 0-e-e+1-2e+1, minor 0-1-e+1-e+2/(2e+2)edx |
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| in edo: major 0-438.635.82-600-1038.635 cents, minor 0-162.365-600-762.365 cents | | in edo: major 0-438.635.82-600-1038.635 cents, minor 0-162.365-600-762.365 cents |
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| Bi-equal wheel tetrad: major 0-pi-pi+1-tau+1, minor 0-1-pi+1-pi+2/(2*tau+2)edx | | Bi-equal wheel tetrad: major 0-pi-pi+1-tau+1, minor 0-1-pi+1-pi+2/(2*tau+2)edx |
| in edo: major 0-455.128-600-1055.128 cents, <span style="line-height: 1.5;">minor 0-144.872-600-744.872 cents</span></pre></div> | | |
| <h4>Original HTML content:</h4>
| | in edo: major 0-455.128-600-1055.128 cents, <span style="line-height: 1.5;">minor 0-144.872-600-744.872 cents</span> |
| <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>2L 2s</title></head><body>This tetrad has the special property that it is the smallest collection of notes which can create the feeling of &quot;completely representing<span style="line-height: 1.5;">&quot; a particular regular temperament in a &quot;standard&quot; way. However, it only works in even-numbered edxs, for it contains sqrt(x), and it becomes a very weakly &quot;complete&quot; representation of a regular temperament as L:s grows large.</span><br />
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| Golden bi-equal tetrad: major 0-phi-phi+1-2*phi+1, minor 0-1-phi+1-phi+2/(2*phi+2)edx<br />
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| in edo: major 0-370.82-600-970.82 cents, minor 0-229.18-600-829.18 cents<br />
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| Natural logarithm bi-equal tetrad: major 0-e-e+1-2e+1, minor 0-1-e+1-e+2/(2e+2)edx<br />
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| in edo: major 0-438.635.82-600-1038.635 cents, minor 0-162.365-600-762.365 cents<br />
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| Bi-equal wheel tetrad: major 0-pi-pi+1-tau+1, minor 0-1-pi+1-pi+2/(2*tau+2)edx<br />
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| in edo: major 0-455.128-600-1055.128 cents, <span style="line-height: 1.5;">minor 0-144.872-600-744.872 cents</span></body></html></pre></div>
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This tetrad has the special property that it is the smallest collection of notes which can create the feeling of "completely representing" a particular regular temperament in a "standard" way. However, it only works in even-numbered edxs, for it contains sqrt(x), and it becomes a very weakly "complete" representation of a regular temperament as L:s grows large.
Golden bi-equal tetrad: major 0-phi-phi+1-2*phi+1, minor 0-1-phi+1-phi+2/(2*phi+2)edx
in edo: major 0-370.82-600-970.82 cents, minor 0-229.18-600-829.18 cents
Natural logarithm bi-equal tetrad: major 0-e-e+1-2e+1, minor 0-1-e+1-e+2/(2e+2)edx
in edo: major 0-438.635.82-600-1038.635 cents, minor 0-162.365-600-762.365 cents
Bi-equal wheel tetrad: major 0-pi-pi+1-tau+1, minor 0-1-pi+1-pi+2/(2*tau+2)edx
in edo: major 0-455.128-600-1055.128 cents, minor 0-144.872-600-744.872 cents