Glossary of scale properties: Difference between revisions

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=Properties=
=Properties=
'''Alternating generator (AG) property''': A scale satisfies the alternating generator property if it satisfies the following equivalent properties:
* the scale can be built by stacking alternating generators, for example 7/6 and 8/7.
* the scale is generated by two chains of generators separated by a fixed interval; either both chains are of size m, or one chain has size m and the second has size m-1.


'''[[constant_structure|Constant structure]]:''' A scale has constant structure (CS) if all Intervals of the same size are also within the same generic interval class. A single interval cannot be a part of two classes. The 12-tone diatonic scale does not have this property, since tritones can either be augmented fourths or diminished fifths. This is referred to as the ''partitioning property'' in most academic literature.
'''[[constant_structure|Constant structure]]:''' A scale has constant structure (CS) if all Intervals of the same size are also within the same generic interval class. A single interval cannot be a part of two classes. The 12-tone diatonic scale does not have this property, since tritones can either be augmented fourths or diminished fifths. This is referred to as the ''partitioning property'' in most academic literature.