Solvejgsmic chords

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Solvejgsmic chords are essentially tempered chords tempered by the solvejgsma, 1331/1330.

There are two triads and three tetrads as 2.5.7.11.19 subgroup 19-odd-limit essentially tempered chords.

The two solvejgsmic triads are in inverse relationship:

  • 1-22/19-14/11 with steps of 22/19-11/10-11/7, and its inverse
  • 1-11/10-14/11 with steps of 11/10-22/19-11/7.

They can be extended to following palindromic tetrads:

  • 1-22/19-14/11-28/19 with steps of 22/19-11/10-22/19-19/14;
  • 1-11/10-14/11-7/5 with steps of 11/10-22/19-11/10-10/7;
  • 1-11/10-22/19-14/11 with steps of 11/10-20/19-11/10-11/7.

Equal temperaments with solvejgsmic chords include 9, 15, 28, 37, 43, 52, 66, 72, 109, 124, 146, 152, 161, 233, 270, 379 and 488.