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 inversion, 1-10/9-13/11 with steps 10/9-17/16-22/13.
  • 1-18/17-5/4 with steps 18/17-13/11-8/5, and its inversion, 1-13/11-5/4 with steps 13/11-18/17-8/5.
  • 1-13/11-17/12 with steps 13/11-6/5-24/17, and its inversion, 1-6/5-17/12 with steps 6/5-13/11-24/17.
  • 1-12/11-17/12 with steps 12/11-13/10-24/17, and its inversion, 1-13/10-17/12 with steps 13/10-12/11-24/17.
  • 1-11/9-24/17 with steps 11/9-15/13-17/12, and its inversion, 1-15/13-24/17 with steps 15/13-11/9-17/12.
  • 1-6/5-17/13 with steps 6/5-12/11-26/17 and its inversion, 1-12/11-17/13 with steps 12/11-6/5-26/17.
  • 1-5/4-26/17 with steps 5/4-11/9-17/13, dubbed the "ainic major triad".
  • 1-11/9-26/17 with steps 11/9-5/4-17/13, dubbed the "ainic neutral triad".
  • 1-11/8-26/17 with steps 11/8-10/9-17/13, dubbed the "ainic suspended demisharp four chord".
  • 1-10/9-26/17 with steps 10/9-11/8-17/13, 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 its inversion, 1-12/11-15/13-3/2 with steps 12/11-18/17-13/10-4/3.
  • 1-13/10-17/12-3/2 with steps 13/10-12/11-18/17-4/3, and its inversion, 1-13/10-11/8-3/2 with steps 13/10-18/17-12/11-4/3.
  • 1-18/17-15/13-3/2 with steps 18/17-12/11-13/10-4/3, and its inversion, 1-18/17-11/8-3/2 with steps 18/17-13/10-12/11-4/3.
  • 1-15/13-24/17-3/2 with steps 15/13-11/9-17/16-4/3, and its inversion, 1-17/16-13/10-3/2 with steps 17/16-11/9-15/13-4/3.