Valinorsmic chords: Difference between revisions
Wikispaces>genewardsmith **Imported revision 287092170 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 370396606 - 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: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-10-04 20:21:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>370396606</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 count is triads: 3, tetrads: 6, pentads: 2; 11 in total. | The count is triads: 3, tetrads: 6, pentads: 2; 11 in total. | ||
If we are willing to go to the 15 odd limit, we get four alternative, valinorsmic, temperings of the four | If we are willing to go to the 15 odd limit, we get four alternative, valinorsmic, temperings of the four [[keenanismic chords|keenanismic tetrads]] which have steps which are permutations of the otonal/utonal 7-limit tetrads. 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. | ||
[[keenanismic chords|keenanismic tetrads]] which have steps which are permutations of the otonal/utonal 7-limit tetrads. 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. | |||
Equal temperaments with valinorsmic chords include 22, 31, 43, 46, 53, 58, 68, 80, 89, 111, 268cd, 326cd and 437cd.</pre></div> | Equal temperaments with valinorsmic chords include 22, 31, 43, 46, 53, 58, 68, 80, 89, 111, 268cd, 326cd and 437cd.</pre></div> | ||
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The count is triads: 3, tetrads: 6, pentads: 2; 11 in total.<br /> | The count is triads: 3, tetrads: 6, pentads: 2; 11 in total.<br /> | ||
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If we are willing to go to the 15 odd limit, we get four alternative, valinorsmic, temperings of the four | If we are willing to go to the 15 odd limit, we get four alternative, valinorsmic, temperings of the four <a class="wiki_link" href="/keenanismic%20chords">keenanismic tetrads</a> which have steps which are permutations of the otonal/utonal 7-limit tetrads. 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.<br /> | ||
<a class="wiki_link" href="/keenanismic%20chords">keenanismic tetrads</a> which have steps which are permutations of the otonal/utonal 7-limit tetrads. 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.<br /> | |||
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Equal temperaments with valinorsmic chords include 22, 31, 43, 46, 53, 58, 68, 80, 89, 111, 268cd, 326cd and 437cd.</body></html></pre></div> | Equal temperaments with valinorsmic chords include 22, 31, 43, 46, 53, 58, 68, 80, 89, 111, 268cd, 326cd and 437cd.</body></html></pre></div> | ||