Corollaries: Difference between revisions

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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>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-14 03:38:07 UTC</tt>.<br>
: The original revision id was <tt>602129492</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<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.


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 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?)


[[Prime edo|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.


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.
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.


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>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Corollaries&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Corollaries are things that anyone could say: there is a quality of self-evidence to them.&lt;br /&gt;
&lt;br /&gt;
Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.&lt;br /&gt;
&lt;br /&gt;
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?)&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Prime%20edo"&gt;Prime edos&lt;/a&gt; make every interval repeated cycle through the whole thing. --William Lynch.&lt;br /&gt;
&lt;br /&gt;
Dyads are distributionally even by definition, but &amp;quot;real&amp;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.&lt;br /&gt;
&lt;br /&gt;
A tenth splits the difference between the octave and the twelfth,&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Corollaries are things that anyone could say: there is a quality of self-evidence to them.

Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.

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?)

Prime edos make every interval repeated cycle through the whole thing. --William Lynch.

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.

A tenth splits the difference between the octave and the twelfth,

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