Minismic chords: Difference between revisions

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'''~~Schisminic~~ chords''' are [[~~Dyadic chord|~~essentially tempered ~~chords~~]] tempered by the ~~schismina~~, [[4096/4095]].

'''Minismic chords''' are [[essentially tempered chord]]s tempered by the minisma, [[4096/4095]].

~~The~~ two ~~schisminic~~ triads ~~are in inverse relationship:~~

There are two triads and three tetrads as [[2.3.5.7.13 subgroup]] [[21-odd-limit]] essentially tempered chords.

* 1-16/13-21~~/16 with steps 16/13~~-~~16/15~~-~~32/21 and its inverse 1-16/15-21/16 with steps 16/15-16/13-32/21~~.

~~They can be extended to following palindromic tetrads~~:

The two minismic triads are in inverse relationship:

* 1-15/13-16/13-15/8 with steps 15/13-16/15-32/21-16/15;

* 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse

* 1-16/13-21/16~~-21/13~~ with steps 16/13-16/15-~~16/13-26~~/21;

* 1-16/15-21/16 with steps of 16/15-16/13-32/21.

* 1-16/15-21/16~~-7/5~~ with steps 16/15-16/13-16/~~15-10/7~~.

Equal temperaments with ~~schisminic~~ 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}}.

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 {{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]]

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[[Category:Triads]]

[[Category:Tetrads]]

[[Category:~~Schisminic~~]]

[[Category:Minismic]]

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-'''Schisminic chords''' are [[Dyadic chord|essentially tempered chords]] tempered by the schismina, [[4096/4095]].
+'''Minismic chords''' are [[essentially tempered chord]]s tempered by the minisma, [[4096/4095]].
-The two schisminic triads are in inverse relationship:
+There are two triads and three tetrads as [[2.3.5.7.13 subgroup]] [[21-odd-limit]] essentially tempered chords.
-* 1-16/13-21/16 with steps 16/13-16/15-32/21 and its inverse 1-16/15-21/16 with steps 16/15-16/13-32/21.
-They can be extended to following palindromic tetrads:
+The two minismic triads are in inverse relationship:
-* 1-15/13-16/13-15/8 with steps 15/13-16/15-32/21-16/15;
+* 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse
-* 1-16/13-21/16-21/13 with steps 16/13-16/15-16/13-26/21;
+* 1-16/15-21/16 with steps of 16/15-16/13-32/21.
-* 1-16/15-21/16-7/5 with steps 16/15-16/13-16/15-10/7.
-Equal temperaments with schisminic 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}}.
+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 {{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]]
@@ Line 15: / Line 18: @@
 [[Category:Triads]]
 [[Category:Tetrads]]
-[[Category:Schisminic]]
+[[Category:Minismic]]