Corollaries
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- This revision was by author xenwolf and made on 2016-12-14 03:38:07 UTC.
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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>