Auk

Auk is a nonoctave temperament in the 3/2.7.13 subgroup, notable for being the simplest EDF-based JI subgroup which does not have octaves and does not have nearly-redundant generators. It equates 3 7/1 (fifth-reduced to 112/81) with 13/1 (fifth-reduced to 832/729), tempering out the comma 87808/85293. The generator when reduced is in the neighborhood of 550 cents, representing 112/81. It possesses non-trivial MOS of the families 1L 3s<3/2> ("neptunian"), 4L 1s<3/2>, 5L 4s<3/2>, and 9L 5s<3/2>.