Corollaries: Difference between revisions
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Wikispaces>JosephRuhf **Imported revision 602112184 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 602129492 - 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:xenwolf|xenwolf]] and made on <tt>2016-12-14 03:38:07 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602129492</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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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 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. | ||
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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 /> | 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% | <a class="wiki_link" href="/Prime%20edo">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 /> | 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> | A tenth splits the difference between the octave and the twelfth,</body></html></pre></div> | ||
Revision as of 03:38, 14 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 xenwolf and made on 2016-12-14 03:38:07 UTC.
- The original revision id was 602129492.
- 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 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. 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,
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 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 /> <br /> <a class="wiki_link" href="/Prime%20edo">Prime edos</a> make every interval repeated cycle through the whole thing. --William Lynch.<br /> <br /> 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.<br /> <br /> A tenth splits the difference between the octave and the twelfth,</body></html>