Glossary of scale properties: Difference between revisions

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== Examples ==
== Examples ==
The 12-tone diatonic scale has Myhill's property, and is also distributionally even.  
The [[5L 2s|diatonic scale]] in 12edo has Myhill's property, and is also distributionally even.  


The diminished scale is an MOS with a 1/4-octave period. Because there is only one interval size at the period, it does not have exactly two interval sizes per interval class. Therefore, it is MOS, but doesn't have Myhill's property.
The [[diminished scale]] is a mos with a 1/4-octave period. Because there is only one interval size at the period, it does not have exactly two interval sizes per interval class. Therefore, it is a mos, but does not have Myhill's property.


An EDO is a kind of degenerate MOS, in that it is distributionally even. It does not have Myhill's property. In other words, it has no more than two interval sizes for each generic interval class, but does not have exactly two interval sizes.
An edo is a kind of degenerate mos, in that it is distributionally even. It does not have Myhill's property. In other words, it has no more than two interval sizes for each generic interval class, but does not have exactly two interval sizes.


== See also ==
== See also ==
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[[Category:Terms| ]]
[[Category:Terms| ]]
[[Category:Scale]]
[[Category:Scale]]
[[Category:Todo:add examples]]
{{Todo| add illustration }}
[[Category:Todo:add illustration]]