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- Q17082297 subject Q8376063.
- Q17082297 abstract "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 be a well formed generated collection. In other words, each generic interval can be made from one of two possible different specific intervals. For example, there are major or minor and perfect or augmented/diminished variants of all the diatonic intervals:The diatonic and pentatonic collections possess Myhill's property. The concept appears to have been first described by John Clough and Gerald Myerson and named after their associate the mathematician John Myhill. (Johnson 2003, p.106, 158)".
- Q17082297 thumbnail Maximal_evenness_seconds.png?width=300.
- Q17082297 wikiPageWikiLink Q179651.
- Q17082297 wikiPageWikiLink Q191345.
- Q17082297 wikiPageWikiLink Q193101.
- Q17082297 wikiPageWikiLink Q402579.
- Q17082297 wikiPageWikiLink Q5038646.
- Q17082297 wikiPageWikiLink Q5272138.
- Q17082297 wikiPageWikiLink Q5532550.
- Q17082297 wikiPageWikiLink Q5532674.
- Q17082297 wikiPageWikiLink Q6795638.
- Q17082297 wikiPageWikiLink Q7574992.
- Q17082297 wikiPageWikiLink Q7625101.
- Q17082297 wikiPageWikiLink Q8376063.
- Q17082297 comment "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 be a well formed generated collection. In other words, each generic interval can be made from one of two possible different specific intervals.".
- Q17082297 label "Myhill's property".
- Q17082297 depiction Maximal_evenness_seconds.png.