Minismic chords: Difference between revisions
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m FloraC moved page Schisminic chords to Minismic chords: Name change followup |
Name change followup |
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''' | '''Minismic chords''' are [[essentially tempered chord]]s tempered by the minisma, [[4096/4095]]. | ||
There are two triads and three tetrads as 2.3.5.7.13 subgroup [[21-odd-limit]] essentially tempered chords. | There are two triads and three tetrads as [[2.3.5.7.13 subgroup]] [[21-odd-limit]] essentially tempered chords. | ||
The two | The two minismic triads are in inverse relationship: | ||
* 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse | * 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse | ||
* 1-16/15-21/16 with steps of 16/15-16/13-32/21. | * 1-16/15-21/16 with steps of 16/15-16/13-32/21. | ||
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* 1-16/15-21/16-7/5 with steps of 16/15-16/13-16/15-10/7. | * 1-16/15-21/16-7/5 with steps of 16/15-16/13-16/15-10/7. | ||
Equal temperaments with | Equal temperaments with minismic chords include {{Optimal ET sequence| 53, 77, 87, 130, 140, 171, 217, 224, 270, 301, 311, 354, 441, 494, 571, 711, 795, 935, 1065, 1376 and 1506 }}. | ||
[[Category:21-odd-limit]] | [[Category:21-odd-limit]] | ||
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[[Category:Triads]] | [[Category:Triads]] | ||
[[Category:Tetrads]] | [[Category:Tetrads]] | ||
[[Category: | [[Category:Minismic]] | ||
Latest revision as of 09:25, 3 March 2026
Minismic chords are essentially tempered chords tempered by the minisma, 4096/4095.
There are two triads and three tetrads as 2.3.5.7.13 subgroup 21-odd-limit essentially tempered chords.
The two minismic triads are in inverse relationship:
- 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse
- 1-16/15-21/16 with steps of 16/15-16/13-32/21.
They can be extended to following palindromic tetrads:
- 1-15/13-16/13-15/8 with steps of 15/13-16/15-32/21-16/15;
- 1-16/13-21/16-21/13 with steps of 16/13-16/15-16/13-26/21;
- 1-16/15-21/16-7/5 with steps of 16/15-16/13-16/15-10/7.
Equal temperaments with minismic chords include 53, 77, 87, 130, 140, 171, 217, 224, 270, 301, 311, 354, 441, 494, 571, 711, 795, 935, 1065, 1376 and 1506.