Charismic chords: Difference between revisions

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'''~~Charsmic~~ chords''' (or '''diasemismic chords''') are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the ~~charsma (or diasemisma)~~, [[256/255]].

'''Charismic chords''' (formerly '''diasemismic chords''') are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the [[charisma]], [[256/255]].

There are 2 triads, 13 tetrads, 17 pentads and 6 hexads as 2.3.5.17 subgroup [[17-odd-limit]] essentially tempered chords.

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

The two charismic triads are in inverse relationship:

* 1-5/4-24/17 with steps of 5/4-9/8-17/12;

* 1-9/8-24/17 with steps of 9/8-5/4-17/12.

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* 1-16/15-5/4-4/3-3/2-15/8 with steps of 16/15-20/17-16/15-9/8-5/4-16/15.

Equal temperaments with ~~charsmic~~ chords include {{Optimal ET sequence|9, 10, 12, 15, 19, 22, 31, 34, 46, 53, 65, 77, 87, 99 and 111}}.

Equal temperaments with charismic chords include {{Optimal ET sequence|9, 10, 12, 15, 19, 22, 31, 34, 46, 53, 65, 77, 87, 99 and 111}}.

[[Category:17-odd-limit]]

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[[Category:Pentads]]

[[Category:Hexads]]

[[Category:~~Charsmic~~]]

[[Category:Charismic]]

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-'''Charsmic chords''' (or '''diasemismic chords''') are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the charsma (or diasemisma), [[256/255]].
+'''Charismic chords''' (formerly '''diasemismic chords''') are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the [[charisma]], [[256/255]].
 There are 2 triads, 13 tetrads, 17 pentads and 6 hexads as 2.3.5.17 subgroup [[17-odd-limit]] essentially tempered chords.
-The two charsmic triads are in inverse relationship:
+The two charismic triads are in inverse relationship:
 * 1-5/4-24/17 with steps of 5/4-9/8-17/12;
 * 1-9/8-24/17 with steps of 9/8-5/4-17/12.
@@ Line 55: / Line 55: @@
 * 1-16/15-5/4-4/3-3/2-15/8 with steps of 16/15-20/17-16/15-9/8-5/4-16/15.
-Equal temperaments with charsmic chords include {{Optimal ET sequence|9, 10, 12, 15, 19, 22, 31, 34, 46, 53, 65, 77, 87, 99 and 111}}.
+Equal temperaments with charismic chords include {{Optimal ET sequence|9, 10, 12, 15, 19, 22, 31, 34, 46, 53, 65, 77, 87, 99 and 111}}.
 [[Category:17-odd-limit]]
@@ Line 63: / Line 63: @@
 [[Category:Pentads]]
 [[Category:Hexads]]
-[[Category:Charsmic]]
+[[Category:Charismic]]