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Z-relation
In musical set theory, a Z-relation is a relation between two sets in which the two sets have the same interval content (i.e. they have the same "interval vector"), but they are of different Tn-type and Tn/TnI-type.
For example, the two sets {0,1,4,6} and {0,1,3,7} have the same interval vector (<1,1,1,1,1,1>) but they are not transpositionally or inversionally related.
The term originated with Allen Forte, in his Structure of Atonal Music (ISBN 0300021208).
Some argue that the "relation" is so remote as to be imperceptible.
Last updated: 07-31-2005 03:26:47
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details