Xenllium: Created page with "'''Bihendrixmic chords''' are essentially tempered dyadic chords tempered by the bihendrixma, 1083/1078. Bihendrixmic chords are of Dyadic chord/Patter..."

2023-08-27T01:35:33Z

Created page with "'''Bihendrixmic chords''' are essentially tempered dyadic chords tempered by the bihendrixma, 1083/1078. Bihendrixmic chords are of Dyadic chord/Patter..."

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'''Bihendrixmic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the bihendrixma, [[1083/1078]].

Bihendrixmic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]] in the [[19-odd-limit]], meaning that there are three triads, six tetrads and two pentads, for a total of 11 distinct chord structures.

For triads, there are one palindromic chord and a pair of chords in inverse relationship. The palindromic chord is
* 1-19/14-11/6 chord with steps of 19/14-19/14-12/11.

The inversely related pair of chords is
* 1-7/6-19/14 with steps of 7/6-22/19-28/19 and its inverse 1-22/19-19/14 with steps of 22/19-7/6-28/19.

For tetrads, there are two palindromic chords and two pairs of chords in inverse relationship. The palindromic chords are
* 1-7/6-19/14-19/12 chord with steps of 7/6-22/19-7/6-24/19;
* 1-22/19-19/14-11/7 chord with steps of 22/19-7/6-22/19-14/11.

The inversely related pairs of chords are
* 1-19/14-19/12-11/6 with steps of 19/14-7/6-22/19-12/11 and its inverse 1-22/19-19/14-11/6 with steps of 22/19-7/6-19/14-12/11;
* 1-19/14-11/7-11/6 with steps of 19/14-22/19-7/6-12/11 and its inverse 1-7/6-19/14-11/6 with steps of 7/6-22/19-19/14-12/11.

They can be extended to pentads:
* 1-7/6-19/14-19/12-11/6 with steps of 7/6-22/19-7/6-22/19-12/11 and its inverse 1-22/19-19/14-11/7-11/6 with steps of 22/19-7/6-22/19-7/6-12/11.

Equal temperaments with bihendrixmic chords include {{Optimal ET sequence|5, 7, 9, 14, 27e, 32, 36, 41, 46, 48, 89, 94 and 130}}.

[[Category:19-odd-limit]]
[[Category:Essentially tempered chords]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Bihendrixmic]]

Bihendrixmic chords - Revision history

Xenllium: Created page with "'''Bihendrixmic chords''' are essentially tempered dyadic chords tempered by the bihendrixma, 1083/1078. Bihendrixmic chords are of Dyadic chord/Patter..."