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).

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

Offset: 1

Author

Craig Bourne (cbourne(AT)cbourne.com), Jan 30 2009

Keywords

• nonn
• less
• fini
• full

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

Cf. A141598, A141599.