Rank 3 scale: Difference between revisions

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''Multi-MOS'' scales are MOS scales that are multiple periods of a WF scale. The interval class represented by any multiple of a period of a WF scale comes in only a single size, hence multi-MOS scales do not possess Myhill’s property.

MOS scales are ''[[Constant structure|constant structures]]'', meaning that it's generic interval classes are distinct, meaning that each specific interval is always subtended by the same number of steps. This is also known as the ''partitioning property''. ''[[MODMOS scales]]'' are also constant structures - which may be arrived at by raising or lower an interval or intervals of a MOS scale by a chroma. Constant structures exist in any rank. ETs are the rank-1 constant structures.

MOS scales are ''[[Constant structure|constant structures]]'', meaning that it's generic interval classes are distinct, meaning that each specific interval is always subtended by (i.e. occurs as) the same number of steps. This is also known as the ''partitioning property''. ''[[MODMOS scales]]'' are also constant structures - which may be arrived at by raising or lower an interval or intervals of a MOS scale by a chroma. Constant structures exist in any rank. ETs are the rank-1 constant structures.

== Rank-3 scales ==

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 ''Multi-MOS'' scales are MOS scales that are multiple periods of a WF scale. The interval class represented by any multiple of a period of a WF scale comes in only a single size, hence multi-MOS scales do not possess Myhill’s property.
-MOS scales are ''[[Constant structure|constant structures]]'', meaning that it's generic interval classes are distinct, meaning that each specific interval is always subtended by the same number of steps. This is also known as the ''partitioning property''. ''[[MODMOS scales]]'' are also constant structures - which may be arrived at by raising or lower an interval or intervals of a MOS scale by a chroma. Constant structures exist in any rank. ETs are the rank-1 constant structures.
+MOS scales are ''[[Constant structure|constant structures]]'', meaning that it's generic interval classes are distinct, meaning that each specific interval is always subtended by (i.e. occurs as) the same number of steps. This is also known as the ''partitioning property''. ''[[MODMOS scales]]'' are also constant structures - which may be arrived at by raising or lower an interval or intervals of a MOS scale by a chroma. Constant structures exist in any rank. ETs are the rank-1 constant structures.
 == Rank-3 scales ==