English
Noun
all-interval set
#In music, an all-interval series is an ordered set of the twelve pitch classes arranged so that all eleven intervals, 1-11, are present. If the series is considered as a cycle, the interval 6 (the "tritone") is present twice.
Here is the well-known "Mallalieu" series in pitch-class notation: C,Db,E,D,A,F,B,Eb,Ab,Bb,G,F#
The same thing in numbers: 014295B38A76
And in intervals: 1,3,10,7,8,6,4,5,2,9,11,6,
An all-interval series is not to be confused with an all-interval set, such as the 4-note sets 0137 and 0146.
rfc|music definition needs rewritten because the current one is copyrighted
:(DeLone? et. al. (Eds.), 1975, chap. 6)
References
DeLone? et. al. (Eds.) (1975). Aspects of Twentieth-Century Music. Englewood Cliffs, New Jersey: Prentice-Hall. ISBN 0130493465.
Morris, R. and D. Starr. 1974. " The structure of all-interval series ", JMT, 18(2), 364-389.
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