Miracle chords: Difference between revisions
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A '''miracle chord''' is an [[essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads: | A '''miracle chord''' is an [[essentially tempered chord]] of the [[miracle]] temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads: | ||
* 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; | * 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; | ||
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[[Category:11-odd-limit]] | [[Category:11-odd-limit]] | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category: | [[Category:Tetrad]] | ||
[[Category:Pentad]] | |||
[[Category:Hexad]] | |||
[[Category:Miracle]] | [[Category:Miracle]] | ||
Revision as of 07:02, 28 April 2023
A miracle chord is an essentially tempered chord of the miracle temperament; they are included among those listed as chords of miracle. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:
- 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11;
the three pairs of pentads:
- 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7;
1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11;
and the pair of hexads:
- 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7.
The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.
EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.