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Myhill's property is the quality of musical scales or collections with exactly two specific intervals for every generic interval, and thus also have the properties of cardinality equals variety, structure implies multiplicity, and being a well formed generated collection.
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The major scale is maximally even. For example, for every generic interval of a second there are only two possible specific intervals: 1 semitone (a minor second) or 2 semitones (a major second).
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The Myhill-Shepherdson Theorem, [2] stemming from the Rice-Shapiro Theorem, defines the computable type 2 functionals.These functionals operate on computable partial functions, yielding numbers as results in cases of termination.
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