cardinality equals varietyの例文
- Diatonic set theory describes the following properties, aside from propriety : maximal evenness, Myhill's property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity.
- For example, cardinality equals variety dictates that a three member diatonic subset of the C major scale, C-D-E transposed to all scale degrees gives three interval patterns : M2-M2, M2-m2, m2-M2.
- Cardinality equals variety in the diatonic collection and the pentatonic scale, and, more generally, what Carey and Clampitt ( 1989 ) call " nondegenerate well-formed scales . " " Nondegenerate well-formed scales " are those that possess Myhill's property.
- In diatonic set theory "'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 maximal evenness, cardinality equals variety, structure implies multiplicity, and being a well formed generated collection.