login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Decimal expansion of 2^(7/12).
4

%I #19 Apr 04 2020 17:40:53

%S 1,4,9,8,3,0,7,0,7,6,8,7,6,6,8,1,4,9,8,7,9,9,2,8,0,7,3,2,0,2,9,7,9,5,

%T 7,9,6,3,0,2,1,5,1,5,5,3,7,3,1,7,4,6,8,7,6,4,4,1,0,2,3,8,4,4,1,0,5,1,

%U 5,7,7,0,9,4,1,9,9,1,8,7,2,0,6,9,1,0,4,9,7,9,6,9,7,8,2,4,3,5,4,6,9

%N Decimal expansion of 2^(7/12).

%C 2^(7/12) is the multiplier with respect to a base frequency to produce a perfect fifth interval in an equal tempered chromatic scale.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Twelfth_root_of_two">Twelfth root of two</a>

%H <a href="/index/Mu#music">Index entries for sequences based on music</a>

%F Equals A010774^7. - _Michel Marcus_, Oct 08 2019

%e 1.498307076876681498...

%t First@ RealDigits[2^(7/12), 10, 105] (* _Michael De Vlieger_, Oct 25 2019 *)

%o (PARI) sqrtn(2^7, 12) \\ _Michel Marcus_, Oct 08 2019

%Y Cf. A010774, A103922, A328228.

%K nonn,cons

%O 1,2

%A _Daniel Hoyt_, Oct 08 2019

%E a(17) ff. corrected by _Georg Fischer_, Apr 04 2020