MOS scale: Difference between revisions

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# Binary and [[distributionally even]], which is unhelpful as a definition (since distributional evenness is most conveniently defined in terms of MOS scales) but useful as a generalization.

While each characterization has a generalization to scale structures with more step sizes, the generalizations are not equivalent. For more information, see [[Mathematics of MOS]]. See the [[catalog of MOS]] for a collection of MOS scales.

While each characterization has a generalization to scale structures with more step sizes, the generalizations are not equivalent. For more information, see [[Mathematics of MOS]].

See the [[catalog of MOS]] for a collection of MOS scales.

The [[5L 2s|diatonic scale]] is a classic example of an MOS scale. It has 7 steps: 5 large ones (whole tones) and 2 small ones (diatonic semitones). As a shorthand, the large step is denoted with 'L' and the small step with 's', so the diatonic scale may be abbreviated [[5L 2s]]. Writing out the pattern of the major mode, we get LLsLLLs. The other modes are rotations of this pattern (e.g. LsLLsLL is the minor mode.) The melodic minor scale, which is not a mode of the diatonic scale, (LsLLLLs) is not a MOS since it has three kinds of fifths: perfect, diminished, and augmented, violating the maximum variety 2 condition above.

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 # Binary and [[distributionally even]], which is unhelpful as a definition (since distributional evenness is most conveniently defined in terms of MOS scales) but useful as a generalization.
-While each characterization has a generalization to scale structures with more step sizes, the generalizations are not equivalent. For more information, see [[Mathematics of MOS]]. See the [[catalog of MOS]] for a collection of MOS scales.
+While each characterization has a generalization to scale structures with more step sizes, the generalizations are not equivalent. For more information, see [[Mathematics of MOS]].
+See the [[catalog of MOS]] for a collection of MOS scales.
 The [[5L 2s|diatonic scale]] is a classic example of an MOS scale. It has 7 steps: 5 large ones (whole tones) and 2 small ones (diatonic semitones). As a shorthand, the large step is denoted with 'L' and the small step with 's', so the diatonic scale may be abbreviated [[5L&nbsp;2s]]. Writing out the pattern of the major mode, we get LLsLLLs. The other modes are rotations of this pattern (e.g. LsLLsLL is the minor mode.) The melodic minor scale, which is not a mode of the diatonic scale, (LsLLLLs) is not a MOS since it has three kinds of fifths: perfect, diminished, and augmented, violating the maximum variety 2 condition above.