Swetismic chords
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- This revision was by author genewardsmith and made on 2011-08-05 01:13:10 UTC.
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Original Wikitext content:
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. A 15-limit swetismic otonal tetrad is 1-9/7-3/2-7/4, and a utonal tetrad 1-7/6-3/2-12/7, with steps 9/7-7/6-7/6-8/7 and 7/6-9/7-8/7-7/6. 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. A 15-limit swetismic otonal tetrad is 1-9/7-3/2-7/4, and a utonal tetrad 1-7/6-3/2-12/7, with steps 9/7-7/6-7/6-8/7 and 7/6-9/7-8/7-7/6.<br /> <br /> 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>