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A155914
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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).
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2
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0, 11, 7, 4, 2, 9, 3, 8, 10, 1, 5, 6
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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).
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REFERENCES
| Robert Morris and Daniel Starr, The Structure of All-Interval Series, 1974, Yale University Department of Music.
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LINKS
| Torsten Anders, All Interval Series, (2009)
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CROSSREFS
| Cf. A141598, A141599.
Sequence in context: A109828 A048981 A132361 * A087896 A144262 A110093
Adjacent sequences: A155911 A155912 A155913 * A155915 A155916 A155917
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KEYWORD
| nonn,less,fini,full
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AUTHOR
| Craig Bourne (cbourne(AT)cbourne.com), Jan 30 2009
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