

A010774


Decimal expansion of 12th root of 2.


8



1, 0, 5, 9, 4, 6, 3, 0, 9, 4, 3, 5, 9, 2, 9, 5, 2, 6, 4, 5, 6, 1, 8, 2, 5, 2, 9, 4, 9, 4, 6, 3, 4, 1, 7, 0, 0, 7, 7, 9, 2, 0, 4, 3, 1, 7, 4, 9, 4, 1, 8, 5, 6, 2, 8, 5, 5, 9, 2, 0, 8, 4, 3, 1, 4, 5, 8, 7, 6, 1, 6, 4, 6, 0, 6, 3, 2, 5, 5, 7, 2, 2, 3, 8, 3, 7, 6, 8, 3, 7, 6, 8, 6, 3, 9, 4, 5, 5, 6
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OFFSET

1,3


COMMENTS

This number figures in our standard 12tone tuning of music today.
It represents the frequency ratio of a semitone in equal temperament. The equaltempered chromatic scale divides the octave, which has a ratio of 2:1, into twelve parts of equal ratio: [2^(n/12), 2^((n+1)/12)), 0 <= n <= 11.  Daniel Forgues, Feb 28 2013


REFERENCES

D. Coulter, Digital Audio Processing. Berkeley, California: Focal Press (2000) p. 30


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000
Wikipedia, Twelfth_root_of_two
Index entries for sequences based on music


EXAMPLE

2^(1/12) = 1.059463094359295264561825294946341700779204317494...


MATHEMATICA

RealDigits[N[2^(1/12), 100]][[1]] (* Alonso del Arte, Jan 06 2011 *)


PROG

(PARI) sqrtn(2, 12) \\ Charles R Greathouse IV, Apr 14 2014


CROSSREFS

Cf. A103922.
Cf. A214832, A254531.
Sequence in context: A198990 A153356 A129956 * A272610 A198748 A196754
Adjacent sequences: A010771 A010772 A010773 * A010775 A010776 A010777


KEYWORD

nonn,cons


AUTHOR

N. J. A. Sloane.


STATUS

approved



