Sextantonismic chords

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Sextantonismic chords are essentially tempered dyadic chords tempered by the sextantonisma, 2601/2600.

There are three sextantonismic triads in the 2.3.5.13.17 subgroup 17-odd-limit, including a palindromic one since it identifies 18/13 by a stack of two 20/17's:

  • 1-20/17-18/13 with steps 20/17-20/17-13/9.

And an inversely related pair:

  • 1-20/17-17/13 with steps 20/17-10/9-26/17, and its inverse
  • 1-10/9-17/13 with steps 10/9-20/17-26/17.

They can be extended to the following palindromic tetrads:

  • 1-10/9-20/17-17/13 with steps 10/9-18/17-10/9-26/17;
  • 1-20/17-17/13-20/13 with steps 20/17-10/9-20/17-13/10.

And inversely related tetrads:

  • 1-20/17-17/13-18/13 with steps 20/17-10/9-18/17-13/9, and its inverse
  • 1-18/17-20/17-18/13 with steps 18/17-10/9-20/17-13/9;
  • 1-20/17-18/13-20/13 with steps 20/17-20/17-10/9-13/10, and its inverse
  • 1-20/17-18/13-9/5 with steps 20/17-20/17-13/10-10/9.

Then there are two inversely related pentads:

  • 1-10/9-20/17-17/13-20/13 with steps 10/9-18/17-10/9-20/17-13/10, and its inverse
  • 1-10/9-20/17-17/13-17/10 with steps 10/9-18/17-10/9-13/10-20/17.