Neosatanismic chords

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Neosatanismic chords are essentially tempered chords tempered by the neosatanisma, 4200/4199.

There are 12 triads, 36 tetrads and 18 pentads as 19-odd-limit essentially tempered chords.

For triads, there are six pairs of chords in inverse relationship:

  • 1-19/15-20/13 with steps of 19/15-17/14-13/10, and its inverse
  • 1-17/14-20/13 with steps of 17/14-19/15-13/10;
  • 1-13/10-28/19 with steps of 13/10-17/15-19/14, and its inverse
  • 1-17/15-28/19 with steps of 17/15-13/10-19/14;
  • 1-20/17-19/14 with steps of 20/17-15/13-28/19, and its inverse
  • 1-15/13-19/14 with steps of 15/13-20/17-28/19;
  • 1-20/17-19/15 with steps of 20/17-14/13-30/19, and its inverse
  • 1-14/13-19/15 with steps of 14/13-20/17-30/19;
  • 1-15/13-17/14 with steps of 15/13-20/19-28/17, and its inverse
  • 1-20/19-17/14 with steps of 20/19-15/13-28/17;
  • 1-14/13-17/15 with steps of 14/13-20/19-30/17, and its inverse
  • 1-20/19-17/15 with steps of 20/19-14/13-30/17.

For tetrads, there are eighteen pairs of chords in inverse relationship:

  • 1-19/15-19/13-20/13 with steps of 19/15-15/13-20/19-13/10, and its inverse
  • 1-20/19-17/14-20/13 with steps of 20/19-15/13-19/15-13/10;
  • 1-19/15-19/14-20/13 with steps of 19/15-15/14-17/15-13/10, and its inverse
  • 1-17/15-17/14-20/13 with steps of 17/15-15/14-19/15-13/10;
  • 1-13/10-3/2-30/19 with steps of 13/10-15/13-20/19-19/15, and its inverse
  • 1-15/13-3/2-19/10 with steps of 15/13-13/10-19/15-20/19;
  • 1-20/17-19/14-20/13 with steps of 20/17-15/13-17/15-13/10, and its inverse
  • 1-17/15-17/13-20/13 with steps of 17/15-15/13-20/17-13/10;
  • 1-20/17-19/15-20/13 with steps of 20/17-14/13-17/14-13/10, and its inverse
  • 1-17/14-17/13-20/13 with steps of 17/14-14/13-20/17-13/10;
  • 1-17/14-10/7-20/13 with steps of 17/14-20/17-14/13-13/10, and its inverse
  • 1-14/13-19/15-20/13 with steps of 14/13-20/17-17/14-13/10;
  • 1-17/14-19/14-20/13 with steps of 17/14-19/17-17/15-13/10, and its inverse
  • 1-17/15-19/15-20/13 with steps of 17/15-19/17-17/14-13/10;
  • 1-13/10-3/2-30/17 with steps of 13/10-15/13-20/17-17/15, and its inverse
  • 1-15/13-3/2-17/10 with steps of 15/13-13/10-17/15-20/17;
  • 1-13/10-7/5-28/19 with steps of 13/10-14/13-20/19-19/14, and its inverse
  • 1-20/19-17/15-28/19 with steps of 20/19-14/13-13/10-19/14;
  • 1-13/10-26/19-28/19 with steps of 13/10-20/19-14/13-19/14, and its inverse
  • 1-14/13-17/15-28/19 with steps of 14/13-20/19-13/10-19/14;
  • 1-15/13-19/14-19/13 with steps of 15/13-20/17-14/13-26/19, and its inverse
  • 1-14/13-19/15-19/13 with steps of 14/13-20/17-15/13-26/19;
  • 1-20/17-19/14-10/7 with steps of 20/17-15/13-20/19-7/5, and its inverse
  • 1-20/19-17/14-10/7 with steps of 20/19-15/13-20/17-7/5;
  • 1-20/17-19/15-19/14 with steps of 20/17-14/13-15/14-28/19, and its inverse
  • 1-15/14-15/13-19/14 with steps of 15/14-14/13-20/17-28/19;
  • 1-15/13-17/14-19/14 with steps of 15/13-20/19-19/17-28/19, and its inverse
  • 1-19/17-20/17-19/14 with steps of 19/17-20/19-15/13-28/19;
  • 1-20/17-19/15-4/3 with steps of 20/17-14/13-20/19-3/2, and its inverse
  • 1-20/19-17/15-4/3 with steps of 20/19-14/13-20/17-3/2;
  • 1-15/13-17/14-17/13 with steps of 15/13-20/19-14/13-26/17, and its inverse
  • 1-14/13-17/15-17/13 with steps of 14/13-20/19-15/13-26/17;
  • 1-19/17-20/17-19/15 with steps of 19/17-20/19-14/13-30/19, and its inverse
  • 1-14/13-17/15-19/15 with steps of 14/13-20/19-19/17-30/19;
  • 1-15/14-15/13-17/14 with steps of 15/14-14/13-20/19-28/17, and its inverse
  • 1-20/19-17/15-17/14 with steps of 20/19-14/13-15/14-28/17.

For pentads, there are nine pairs of chords in inverse relationship:

  • 1-19/15-19/14-19/13-20/13 with steps of 19/15-15/14-14/13-20/19-13/10, and its inverse
  • 1-20/19-17/15-17/14-20/13 with steps of 20/19-14/13-15/14-19/15-13/10;
  • 1-17/14-19/14-10/7-20/13 with steps of 17/14-19/17-20/19-14/13-13/10, and its inverse
  • 1-14/13-17/15-19/15-20/13 with steps of 14/13-20/19-19/17-17/14-13/10;
  • 1-20/17-19/14-10/7-20/13 with steps of 20/17-15/13-20/19-14/13-13/10, and its inverse
  • 1-14/13-17/15-17/13-20/13 with steps of 14/13-20/19-15/13-20/17-13/10;
  • 1-20/17-19/15-19/14-20/13 with steps of 20/17-14/13-15/14-17/15-13/10, and its inverse
  • 1-17/15-17/14-17/13-20/13 with steps of 17/15-15/14-14/13-20/17-13/10;
  • 1-13/10-3/2-30/19-17/10 with steps of 13/10-15/13-20/19-14/13-20/17, and its inverse
  • 1-15/13-3/2-30/17-19/10 with steps of 15/13-13/10-20/17-14/13-20/19;
  • 1-13/10-3/2-30/17-19/10 with steps of 13/10-15/13-20/17-14/13-20/19, and its inverse
  • 1-15/13-3/2-30/19-17/10 with steps of 15/13-13/10-20/19-14/13-20/17;
  • 1-13/10-3/2-30/19-30/17 with steps of 13/10-15/13-20/19-19/17-17/15, and its inverse
  • 1-15/13-3/2-17/10-19/10 with steps of 15/13-13/10-17/15-19/17-20/19;
  • 1-14/13-19/15-19/13-20/13 with steps of 14/13-20/17-15/13-20/19-13/10, and its inverse
  • 1-20/19-17/14-10/7-20/13 with steps of 20/19-15/13-20/17-14/13-13/10;
  • 1-19/17-20/17-19/15-19/14 with steps of 19/17-20/19-14/13-15/14-28/19, and its inverse
  • 1-15/14-15/13-17/14-19/14 with steps of 15/14-14/13-20/19-19/17-28/19.

Equal temperaments with neosatanismic chords include 53, 68, 72, 77, 111, 140, 171, 193, 217, 270, 311, 354, 422, 460, 513, 571, 581, 665, 742 and 935.

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