A051725 - OEIS

A051725

Denominator of n/12.

1, 12, 6, 4, 3, 12, 2, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2, 12, 3

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OFFSET

0,2

COMMENTS

Arises in the equal-tempered musical scale - see Goldstein (1977), Table 1. - N. J. A. Sloane, Aug 29 2018

REFERENCES

Goldstein, A. A. "Optimal temperament." SIAM Review 19.3 (1977): 554-562.

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 269.

LINKS

Table of n, a(n) for n=0..80.

MATHEMATICA

Range[0, 80]/12//Denominator (* Harvey P. Dale, Feb 19 2026 *)