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In music, with 0 = C natural, 1 = C#, etc.: The unfolding of a semitonal interval cycle, alternating the ascending and descending aspects of the cycle from a common point or axis of symmetry. Any regularly occurring alignment may be used, with predictable even or odd results.
0

%I #1 May 16 2003 03:00:00

%S 0,0,1,11,2,10,3,9,4,8,5,7,6,6

%N In music, with 0 = C natural, 1 = C#, etc.: The unfolding of a semitonal interval cycle, alternating the ascending and descending aspects of the cycle from a common point or axis of symmetry. Any regularly occurring alignment may be used, with predictable even or odd results.

%D G. Perle, Twelve-tone Tonality, University of California Press, 1977, revised 1995.

%D S. Rosenhaus, Harmonic Motion in George Perle's Wind Quintet No. 4, Ph.D. dissertation, New York University, 1995.

%K nonn

%O 0,4

%A Steven L. Rosenhaus (slr3(AT)nyu.edu), Sep 23 2002