Corollaries: Difference between revisions
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Wikispaces>xenwolf **Imported revision 515429380 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 602111620 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-13 17:21:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602111620</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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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. | ||
Equal temperaments are equal. But only if you're on the logarithmic scale. 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?) | Equal temperaments are equal. But only if you're on the logarithmic scale. 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.</pre></div> | [[Prime edos]] make every interval repeated cycle through the whole thing. --William Lynch. | ||
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> | |||
<h4>Original HTML content:</h4> | <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"><html><head><title>Corollaries</title></head><body>Corollaries are things that anyone could say: there is a quality of self-evidence to them.<br /> | <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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Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.<br /> | Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.<br /> | ||
<br /> | <br /> | ||
Equal temperaments are equal. But only if you're on the logarithmic scale. 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?)<br /> | Equal temperaments are equal. But only if you're on the logarithmic scale. 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 /> | |||
<br /> | |||
Distributionally even interlaced tetrads and hexatonic scales cannot exist in equal divisions of a cardinality relatively prime to 4 or 6.<br /> | |||
<br /> | <br /> | ||
A tenth splits the difference between the octave and the twelfth,</body></html></pre></div> | |||
Revision as of 17:21, 13 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2016-12-13 17:21:45 UTC.
- The original revision id was 602111620.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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. But only if you're on the logarithmic scale. 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. 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,
Original HTML content:
<html><head><title>Corollaries</title></head><body>Corollaries are things that anyone could say: there is a quality of self-evidence to them.<br /> <br /> Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.<br /> <br /> Equal temperaments are equal. But only if you're on the logarithmic scale. 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 /> <br /> <a class="wiki_link" href="/Prime%20edos">Prime edos</a> make every interval repeated cycle through the whole thing. --William Lynch.<br /> <br /> Distributionally even interlaced tetrads and hexatonic scales cannot exist in equal divisions of a cardinality relatively prime to 4 or 6.<br /> <br /> A tenth splits the difference between the octave and the twelfth,</body></html>