Ainic chords

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An ainic chord is an essentially tempered dyadic chord tempered by 936/935, the ainos comma. Assuming we stick to the 17-odd-limit, sixteen ainic triads and eight ainic tetrads are known, however, other triads and tetrads, as well as pentads and so forth, are likely to exist. However, if we are willing to go as high as the 39-odd-limit, many more options become available.

The known ainic triads are:

  • 1-17/16-13/11 with steps 17/16-10/9-22/13, and its inversions
  • 1-10/9-13/11 with steps 10/9-17/16-22/13, and its inversions
  • 1-18/17-5/4 with steps 18/17-13/11-8/5, and its inversions
  • 1-13/11-5/4 with steps 13/11-18/17-8/5, and its inversions
  • 1-13/11-17/12 with steps 13/11-6/5-24/17, and its inversions
  • 1-6/5-17/12 with steps 6/5-13/11-24/17, and its inversions
  • 1-12/11-17/12 with steps 12/11-13/10-24/17 and its inversions
  • 1-13/10-17/12 with steps 13/10-12/11-24/17 and its inversions
  • 1-11/9-24/17 with steps 11/9-15/13-17/12, and its inversions
  • 1-15/13-24/17 with steps 15/13-11/9-17/12, and its inversions
  • 1-6/5-17/13 with steps 6/5-12/11-26/17 and its inversions
  • 1-12/11-17/13 with steps 12/11-6/5-26/17 and its inversions
  • 1-5/4-26/17 with steps 5/4-11/9-17/13, and its inversions; dubbed the "ainic major triad"
  • 1-11/9-26/17 with steps 11/9-5/4-17/13, and its inversions; dubbed the "ainic neutral triad"
  • 1-11/8-26/17 with steps 11/8-10/9-17/13, and its inversions; dubbed the "ainic suspended demisharp four chord"
  • 1-10/9-26/17 with steps 10/9-11/8-17/13, and its inversions; dubbed the "ainic suspended two chord"

The known ainic tetrads are:

  • 1-12/11-17/12-3/2 with steps 12/11-13/10-18/17-4/3 and their inversions
  • 1-12/11-15/13-3/2 with steps 12/11-18/17-13/10-4/3 and their inversions
  • 1-13/10-17/12-3/2 with steps 13/10-12/11-18/17-4/3 and their inversions
  • 1-13/10-11/8-3/2 with steps 13/10-18/17-12/11-4/3 and their inversions
  • 1-18/17-15/13-3/2 with steps 18/17-12/11-13/10-4/3 and their inversions
  • 1-18/17-11/8-3/2 with steps 18/17-13/10-12/11-4/3 and their inversions
  • 1-15/13-24/17-3/2 with steps 15/13-11/9-17/16-4/3 and their inversions
  • 1-17/16-13/10-3/2 with steps 17/16-11/9-15/13-4/3 and their inversions