Valinorsmic chords
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author genewardsmith and made on 2011-12-10 21:45:42 UTC.
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Original Wikitext content:
A valinorsmic tetrad is any of five 15-limit [[Dyadic chord|essentially tempered tetrads]] which are tempered by the valinorsma, 176/175. Four of them represent alternative, valinorsmic, temperings of the four 7-limit tetrads with steps 5/4-6/5-8/7-7/6 and 5/4-8/7-6/5-7/6 and their inversions 6/5-5/4-7/6-8/7 and 5/4-7/6-6/5-8/7, leading to 176/175 temperings of 1-5/4-10/7-12/7, 1-5/4-3/2-12/7, 1-6/5-3/2-7/4 and 1-5/4-22/15-7/4. The reason for the similarity between valinorsmic and keenanismic tetrads is that they both temper 48/35, valinorsmic to 15/11 and keenanismic to 11/8. Another valinorsmic tetrad has steps 11/9-6/5-8/7-6/5, leading to 1-11/9-22/15-5/3 chords. Aside from these, there are many more with smaller step sizes such as 11/10.
Original HTML content:
<html><head><title>valinorsmic chords</title></head><body>A valinorsmic tetrad is any of five 15-limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered tetrads</a> which are tempered by the valinorsma, 176/175. Four of them represent alternative, valinorsmic, temperings of the four 7-limit tetrads with steps 5/4-6/5-8/7-7/6 and 5/4-8/7-6/5-7/6 and their inversions 6/5-5/4-7/6-8/7 and 5/4-7/6-6/5-8/7, leading to 176/175 temperings of 1-5/4-10/7-12/7, 1-5/4-3/2-12/7, 1-6/5-3/2-7/4 and 1-5/4-22/15-7/4. The reason for the similarity between valinorsmic and keenanismic tetrads is that they both temper 48/35, valinorsmic to 15/11 and keenanismic to 11/8. Another valinorsmic tetrad has steps 11/9-6/5-8/7-6/5, leading to 1-11/9-22/15-5/3 chords. Aside from these, there are many more with smaller step sizes such as 11/10.</body></html>