Bihendrixmic chords

Bihendrixmic chords are essentially tempered dyadic chords tempered by the bihendrixma, 1083/1078.

Bihendrixmic chords are of 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 5, 7, 9, 14, 27e, 32, 36, 41, 46, 48, 89, 94 and 130.