Palingenetic chords

A palingenetic chord is an essentially tempered dyadic chord tempered by 1701/1700, the palingenetic comma. Currently, there are only a handful of palingenetic chords known.

There is a 21-odd-limit palingenetic triad:

• 1-10/9-9/5 with steps 10/9-34/21-10/9.

Assuming we stick to the 27-odd-limit, we have two known triads and one known tetrad.

The known 27-odd-limit palingenetic triads are:

• 1-34/27-3/2 with steps 34/27-25/21-4/3, and its inversions; dubbed the "palingenetic major triad"
• 1-25/21-3/2 with steps 25/21-34/27-4/3, and its inversions; dubbed the "palingenetic minor triad"

The known 27-odd-limit palingenetic tetrads are:

• 1-18/17-32/27-5/4 with steps 18/17-28/25-135/128-8/5, and its inversions