Flashmic chords: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Eliora (talk | contribs)
mNo edit summary
Eliora (talk | contribs)
No edit summary
 
(3 intermediate revisions by 2 users not shown)
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, one flashmic chord is known:
As an enormously complex temperament, even the simplest flashmic chords are 33-odd-limit, and there are six pairs in inverse relationship:  


* 1 - 5/4 - 36/25 - 17/11, with intervals 5/4 - 15/13 - 15/14 - 22/17.
* 1-28/15-33/17 with steps 28/15-26/25-34/33, and its inverse
* 1-28/15-25/13 with steps 28/15-34/33-26/25;
* 1-25/17-28/15 with steps 25/17-33/26-15/14, and its inverse
* 1-33/26-28/15 with steps 33/26-25/17-15/14;
* 1-28/25-30/17 with steps 28/25-52/33-17/15, and its inverse
* 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]]

Latest revision as of 22:01, 6 July 2023

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

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

  • 1-28/15-33/17 with steps 28/15-26/25-34/33, and its inverse
  • 1-28/15-25/13 with steps 28/15-34/33-26/25;
  • 1-25/17-28/15 with steps 25/17-33/26-15/14, and its inverse
  • 1-33/26-28/15 with steps 33/26-25/17-15/14;
  • 1-28/25-30/17 with steps 28/25-52/33-17/15, and its inverse
  • 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.