Swetismic chords

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Revision as of 01:28, 5 August 2011 by Wikispaces>genewardsmith (**Imported revision 244442099 - Original comment: **)
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This revision was by author genewardsmith and made on 2011-08-05 01:28:26 UTC.
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The 11-limit swetismic triad is either the 540/539-tempered version of a 7/6-11/9-7/5 chord or its inversion, an 11/9-7/6-7/5 chord. It is an 11-limit [[dyadic chord|essentially tempered triad]], and can also be characterized as the tempering of 1-7/6-10/7 or 1-11/9-10/7. It can be extended to the 11-limit swetismic tetrad, the 7/6-11/9-7/6-6/5 chord, the swetismic tempering of 1-7/6-10/7-5/3. There are also 15-limit swetismic tetrads of 1-9/7-3/2-7/4, 1-7/6-3/2-12/7, 1-11/9-10/7-5/3 and 1-7/6-15/11-5/3 with steps 9/7-7/6-7/6-8/7, 7/6-9/7-8/7-7/6, 11/9-7/6-7/6-6/5 and 7/6-7/6-11/9-6/5.

Equal temperaments with swetismic tetrads include 19, 22, 31, 41, 53, 58, 72, 80, 94, 103, 111, 121, 130, 152, 183, 224, 354, 537 and 578.

Original HTML content:

<html><head><title>swetismic chords</title></head><body>The 11-limit swetismic triad is either the 540/539-tempered version of a 7/6-11/9-7/5 chord or its inversion, an 11/9-7/6-7/5 chord. It is an 11-limit <a class="wiki_link" href="/dyadic%20chord">essentially tempered triad</a>, and can also be characterized as the tempering of 1-7/6-10/7 or 1-11/9-10/7. It can be extended to the 11-limit swetismic tetrad, the 7/6-11/9-7/6-6/5 chord, the swetismic tempering of 1-7/6-10/7-5/3. There are also 15-limit swetismic tetrads of 1-9/7-3/2-7/4, 1-7/6-3/2-12/7, 1-11/9-10/7-5/3 and 1-7/6-15/11-5/3 with steps 9/7-7/6-7/6-8/7, 7/6-9/7-8/7-7/6, 11/9-7/6-7/6-6/5 and 7/6-7/6-11/9-6/5.<br />
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Equal temperaments with swetismic tetrads include 19, 22, 31, 41, 53, 58, 72, 80, 94, 103, 111, 121, 130, 152, 183, 224, 354, 537 and 578.</body></html>
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