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A155914
Example of an all interval series: the 12 integers 0..11 sorted such that the first differences contain all numbers from 1 to 11 (mod 12).
2
0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6
OFFSET
1,2
COMMENTS
"All-interval" means that the differences 11-0=11, 7-11=-4, 4-7=-3, ..., 6-5=1 read modulo 12 contain all numbers (intervals) from 1 to 11.
This is one of 3856 such sequences.
The Anders link contains a source program written in Strasheela, formulated as a constrained satisfaction problem (CSP).
REFERENCES
Robert Morris and Daniel Starr, The Structure of All-Interval Series, 1974, Yale University Department of Music.
LINKS
Torsten Anders, All Interval Series, (2009).
Milan Gustar, More information
Milan Gustar, Programs and data
CROSSREFS
Sequence in context: A132361 A305273 A236546 * A087896 A240598 A144262
KEYWORD
nonn,less,fini,full
AUTHOR
Craig Bourne (cbourne(AT)cbourne.com), Jan 30 2009
STATUS
approved