Ennealimmal

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Ennealimmal, 27 & 45, is a 7-limit rank-2 microtemperament that tempers out the two smallest 7-limit superparticular ratios:

  • 2401/2400 = S49, the difference between 49/40 neutral third and its 3/2-complement 60/49
  • 4375/4374, the difference between (27/25)2 and 7/6

This implies a period of 1\9 (representing 27/25) and a generator of 49/40. The generator can also be taken to be 5/3.