User:2^67-1/Ed12

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Disclaimer: written a la MMTM

The equal division of 12/1 (ed12/1) is a tuning obtained by dividing the twelfth harmonic (12/1) in a certain number of equal steps.

Properties

Division of 12 into equal parts does not necessarily imply directly using this interval as an equivalence. The question of equivalence has not even been posed yet. The utility of this interval as an equivalence is that it serves as two times the upper bound of the range of most peoples' voices, which the author takes to be about √12. The twelfth harmonic is pretty far as much as equivalences go.

MOSes

25-note MOSes

This is equivalent to 7-note MOSes in the 2/1.

  • 18L 7s and 7L 18s: Greater Diatonic and Greater Mavila
  • 14L 11s and 11L 14s: Greater Smitonic and Greater Mosh

36-note MOSes

This is equivalent to 10-note MOSes in the 2/1.

  • 29L 7s and 7L 29s: Hexacontapental and Antihexacontapental
  • 27L 9s and 9L 27s: Unquic and Antiunquic
  • 25L 11s and 11L 25s: Greater Dichotic and Greater Sephiroid
  • 22L 14s and 14L 22s: Anticolian and Colian
  • 18L 18s: Grenadilla