MOS scale: Difference between revisions
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== Example: The diatonic scale == | == Example: The diatonic scale == | ||
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 (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.) An important property of MOS scales is that all the intervals come in two sizes: major and minor seconds, major and minor thirds, perfect and augmented fourths, perfect and diminished fifths, etc. This is not true for something like the melodic minor scale (LsLLLLs), which has three kinds of fifths: perfect, diminished and augmented. Therefore, the melodic minor scale is not an MOS scale. | 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 (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.) An important property of MOS scales is that all the intervals come in two sizes: major and minor seconds, major and minor thirds, perfect and augmented fourths, perfect and diminished fifths, etc. This is not true for something like the melodic minor scale (LsLLLLs), which has three kinds of fifths: perfect, diminished and augmented. Therefore, the melodic minor scale is not an MOS scale. | ||
== Definition == | |||
There are several equivalent definitions of MOS scales: | |||
# [[Maximum variety]] 2 | |||
# [[Binary]] and has a generator | |||
# Binary and [[distributionally even]] | |||
While each characterization has a generalization to more complex scale structures, the generalizations are not equivalent. | |||
== History and terminology == | == History and terminology == | ||
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* [[MOS Diagrams]], visualizations of the MOS process. | * [[MOS Diagrams]], visualizations of the MOS process. | ||
* [http://x31eq.com/temper/method.html How to Find Linear Temperaments], by [[Graham Breed]] | * [http://x31eq.com/temper/method.html How to Find Linear Temperaments], by [[Graham Breed]] | ||
== Variations == | == Variations == | ||