26edo: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 155550183 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 155553467 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-08-07 14: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-08-07 15:14:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>155553467</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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The 11-tone scale in degrees-in-between: 2 3 2 2 3 2 3 2 2 3 2. | The 11-tone scale in degrees-in-between: 2 3 2 2 3 2 3 2 2 3 2. | ||
The 11-tone scale in cents: 0 92 231 323 415 554 646 785 877 969 1108. | The 11-tone scale in cents: 0 92 231 323 415 554 646 785 877 969 1108, 1200. | ||
The primary triad for Orgone | The primary triad for Orgone Temperament is 8:11:14 and its subharmonic inversion, which these scales have in abundance. 2g approximates 16:11 and 3g approximates 7:4 (and I would call that the definition of Orgone Temperament). That also implies that g approximates the difference between 7:4 and 16:11, which is 77:64, about 320.1 cents. | ||
[[37edo]] is another excellent Orgone tuning. [[11edo]] is passable, but barely. If we take 11 and 26 to be the edges of the Orgone Spectrum, that suggests some other edos which can play Orgone: 11, 48, 37,63, 26. | |||
If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.</pre></div> | If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.</pre></div> | ||
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The 11-tone scale in degrees-in-between: 2 3 2 2 3 2 3 2 2 3 2.<br /> | The 11-tone scale in degrees-in-between: 2 3 2 2 3 2 3 2 2 3 2.<br /> | ||
The 11-tone scale in cents: 0 92 231 323 415 554 646 785 877 969 1108.<br /> | The 11-tone scale in cents: 0 92 231 323 415 554 646 785 877 969 1108, 1200.<br /> | ||
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The primary triad for Orgone Temperament is 8:11:14 and its subharmonic inversion, which these scales have in abundance. 2g approximates 16:11 and 3g approximates 7:4 (and I would call that the definition of Orgone Temperament). That also implies that g approximates the difference between 7:4 and 16:11, which is 77:64, about 320.1 cents.<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/37edo">37edo</a> is another excellent Orgone tuning. <a class="wiki_link" href="/11edo">11edo</a> is passable, but barely. If we take 11 and 26 to be the edges of the Orgone Spectrum, that suggests some other edos which can play Orgone: 11, 48, 37,63, 26.<br /> | |||
<br /> | <br /> | ||
If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.</body></html></pre></div> | If a name already exists for this temperament, I'd be interested to know about it. As far as I know, temperaments which ignore lower primes (in this case 3 and 5) in favor of higher ones (in this case 7 and 11) are still largely uncharted, but I am interested in finding out if someone has walked this path before.</body></html></pre></div> | ||