Flashmic chords: Difference between revisions

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'''Flashmic chords''' are [[essentially tempered dyadic chord]]s tempered ~~out~~ by the flashma, [[12376/12375]], a comma associated with precise systems that model high-limit JI.

'''Flashmic chords''' are [[essentially tempered dyadic chord]]s tempered by the flashma, [[12376/12375]], a comma associated with precise systems that model high-limit JI.

~~Currently~~, ~~a few~~ flashmic chords are ~~known~~:

As an enormously complex temperament, even the simplest flashmic chords are 33-odd-limit, and there are six pairs in inverse relationship:

* 28/15 - 26/25 - 34/33, with ~~tempering~~ 15/~~14 ~=~~ 26/25 * 34/33

* 1-28/15-33/17 with steps 28/15-26/25-34/33, and its inverse

* 15/14 - 25/17 - 33/26

* 1-28/15-25/13 with steps 28/15-34/33-26/25;

* 28/25 - 52/33 - 17/15

* 1-25/17-28/15 with steps 25/17-33/26-15/14, and its inverse

* 28/25 - 26/15 - 34/33

* 1-33/26-28/15 with steps 33/26-25/17-15/14;

* 33/28 - 15/13 - 25/17 ~~(most evenly distributed)~~

* 1-28/25-30/17 with steps 28/25-52/33-17/15, and its inverse

* 56/33 - 26/25 - 17/15

* 1-28/25-33/26 with steps 28/25-17/15-53/33;

* 1-28/25-33/17 with steps 28/25-26/15-34/33, and its inverse

* 1-28/25-15/13 with steps 28/25-34/33-26/15;

* 1-33/28-34/25 with steps 33/28-15/13-25/17, and its inverse

* 1-33/28-26/15 with steps 33/28-25/17-15/13;

* 1-26/25-30/17 with steps 26/25-56/33-17/15, and its inverse

* 1-26/25-33/28 with steps 26/25-17/15-56/33.

Equal divisions supporting flashmic chords include [[311edo]], [[1600edo]], and [[2554edo]].

[[Category:33-odd-limit]]

[[Category:Essentially tempered chords]]

[[Category:Triads]]

[[Category:Flashmic]]

@@ Line 1: / Line 1: @@
-'''Flashmic chords''' are [[essentially tempered dyadic chord]]s tempered out by the flashma, [[12376/12375]], a comma associated with precise systems that model high-limit JI.
+'''Flashmic chords''' are [[essentially tempered dyadic chord]]s tempered by the flashma, [[12376/12375]], a comma associated with precise systems that model high-limit JI.
-Currently, a few flashmic chords are known:
+As an enormously complex temperament, even the simplest flashmic chords are 33-odd-limit, and there are six pairs in inverse relationship:
-* 28/15 - 26/25 - 34/33, with tempering 15/14 ~= 26/25 * 34/33
+* 1-28/15-33/17 with steps 28/15-26/25-34/33, and its inverse
-* 15/14 - 25/17 - 33/26
+* 1-28/15-25/13 with steps 28/15-34/33-26/25;
-* 28/25 - 52/33 - 17/15
+* 1-25/17-28/15 with steps 25/17-33/26-15/14, and its inverse
-* 28/25 - 26/15 - 34/33
+* 1-33/26-28/15 with steps 33/26-25/17-15/14;
-* 33/28 - 15/13 - 25/17 (most evenly distributed)
+* 1-28/25-30/17 with steps 28/25-52/33-17/15, and its inverse
-* 56/33 - 26/25 - 17/15
+* 1-28/25-33/26 with steps 28/25-17/15-53/33;
+* 1-28/25-33/17 with steps 28/25-26/15-34/33, and its inverse
+* 1-28/25-15/13 with steps 28/25-34/33-26/15;
+* 1-33/28-34/25 with steps 33/28-15/13-25/17, and its inverse
+* 1-33/28-26/15 with steps 33/28-25/17-15/13;
+* 1-26/25-30/17 with steps 26/25-56/33-17/15, and its inverse
+* 1-26/25-33/28 with steps 26/25-17/15-56/33.
+Equal divisions supporting flashmic chords include [[311edo]], [[1600edo]], and [[2554edo]].
+[[Category:33-odd-limit]]
 [[Category:Essentially tempered chords]]
+[[Category:Triads]]
 [[Category:Flashmic]]