Rank-3 scale: Difference between revisions

Lhearne (talk | contribs)
Lhearne (talk | contribs)
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PWF and pairwise-DE scales include the same number of instances of steps of 2 of the 3 different step sizes, apart from abacaba.
PWF and pairwise-DE scales include the same number of instances of steps of 2 of the 3 different step sizes, apart from abacaba.


The scale abacaba is the only PWF / PDE / PMOS scale, and the only trivalent scale that is also symmetric.
The scale abacaba is the only mirror-symmetric PWF / PDE / PMOS, and the only mirror-symmetric trivalent scale.


The scales a…ba…c, and the scale abacaba are the only pairwise-DE scales, and the only MV3 scales that are also mirror-symmetric.
The scales a…ba…c, and the scale abacaba are the only mirror-symmetric pairwise-DE scales, and the only mirror-symmetric MV3 scales.


There is only one way to arrange the steps of these scales such that they are pairwise-DE. This means that they can be uniquely described by a signature, like MOS scales.
There is only one way to arrange the steps of these scales such that they are pairwise-DE. This means that they can be uniquely described by a signature, like MOS scales.