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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | Corollaries are things that anyone could say: there is a quality of self-evidence to them. |
| 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>2016-12-13 17:31:03 UTC</tt>.<br>
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| : The original revision id was <tt>602112184</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">Corollaries are things that anyone could say: there is a quality of self-evidence to them.
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| Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on. | | Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on. |
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| Equal temperaments are equal on the logarithmic scale, and harmonic series are equal on the frequency scale. The logarithmic scale is the logarithm of the frequency scale. (Could a logarithm of the logarithm scale be useful? Or an exponential of the frequency scale? Or a power of any one of these?) | | * [[Equal temperament]]s are equal on the logarithmic scale, and [[harmonic series]] are equal on the frequency scale. The logarithmic scale is the logarithm of the frequency scale. (Could a logarithm of the logarithm scale be useful? Or an exponential of the frequency scale? Or a power of any one of these? - see [[PFDO]]?) |
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| [[Prime edos]] make every interval repeated cycle through the whole thing. --William Lynch. | | * [[Prime_edo|Prime edos]] make every interval repeated cycle through the whole thing. --[[William Lynch]]. |
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| Dyads are distributionally even by definition, but "real" triads must not be distributionally even; and distributionally even interlaced tetrads and hexatonic scales cannot exist in equal divisions of a cardinality relatively prime to 4 or 6.
| | * [[Dyad]]s are distributionally even by definition, but "real" [[triad]]s must not be distributionally even; and distributionally even interlaced [[tetrad]]s and [[Category:6-tone scales|hexatonic scales]] cannot exist in equal divisions of a cardinality relatively prime to 4 or 6. |
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| A tenth splits the difference between the octave and the twelfth,</pre></div> | | * A [[tenth]] splits the difference between the [[octave]] and the [[twelfth]]. |
| <h4>Original HTML content:</h4>
| | [[Category:Lists]] |
| <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>Corollaries</title></head><body>Corollaries are things that anyone could say: there is a quality of self-evidence to them.<br />
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| | * "''The more subtle refinement is not yet with us and can only come by the use of a scale more minutely divided than our own; this would educate the ear to something finer than we have yet heard.''" - [[Edward Elgar]] |
| Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.<br />
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| Equal temperaments are equal on the logarithmic scale, and harmonic series are equal on the frequency scale. The logarithmic scale is the logarithm of the frequency scale. (Could a logarithm of the logarithm scale be useful? Or an exponential of the frequency scale? Or a power of any one of these?)<br />
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| <a class="wiki_link" href="/Prime%20edos">Prime edos</a> make every interval repeated cycle through the whole thing. --William Lynch.<br />
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| Dyads are distributionally even by definition, but &quot;real&quot; triads must not be distributionally even; and distributionally even interlaced tetrads and hexatonic scales cannot exist in equal divisions of a cardinality relatively prime to 4 or 6.<br />
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| A tenth splits the difference between the octave and the twelfth,</body></html></pre></div>
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