User:CompactStar/Ed8/5

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ED8/5 is division of the just minor sixth (8/5) into n parts.

Division of 8/5 into equal parts does not necessarily imply directly using this interval as an equivalence. Many, though not all, ed8/5 scales have a perceptually important false octave, with various degrees of accuracy.

One way to approach some ed8/5 tunings is the use of the classic minor triad 10:12:15:(16) as the fundamental complete sonority in a very similar way to the classic major triad 4:5:6:(8) in meantone. Whereas in meantone it takes 4 3/2 to get 5/4, here it takes 4 3/2 to get to 6/5, which creates a rank-2 temperament tempering out the comma 16875/16384. This temperament yields MOS scales of the families 1L 4s<8/5>, 1L 5s<8/5>, 6L 1s<8/5>, 6L 7s<8/5>, and 6L 13s<8/5>.

CTE and near-CTE tunings of said temperament introduce pseudo-octaves, which may be considered a hindrance due to distracting from the 10:12:15:16 sonority, or it may be considered beneficial if one wants to combine that sonority with traditional octave-based harmony and melody.