| __Encyclopedia: Diatonic scale__ *(Site not responding. Last check: 2007-10-19)* |

| | **Diatonic** set theory is a subdivision or application of musical set theory which applies the techniques and insights of set theory to properties of the **diatonic** collection such as maximal evenness, Myhills property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity. |

| | In **diatonic** set theory a generated collection is a collection or scale formed by repeatedly adding a constant interval in integer notation, the generator, also known as an interval cycle, around the chromatic circle until a complete collection or scale is formed. |

| | In **diatonic** set theory structure implies multiplicity is quality of a collection or scale for which the interval series formed by the shortest distance around a **diatonic** circle of fifths between member of a series indicates the number of unique interval patterns (adjacently, rather than around the circle of fifths... |

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