|
%I #27 Mar 15 2020 09:06:43
%S 1,0,1,3,6,4,3,2,6,4,7,7,0,5,0,7,8,1,2,5
%N Decimal expansion of the Pythagorean comma.
%C In musical tuning, the Pythagorean comma is 12 fifths / 7 octaves = (3/2)^12 / 2^7.
%D Larry Baggett, In the Dark on the Sunny Side: A Memoir of an Out-of-Sight Mathematician, Mathematical Association of America, 2012, p. 78.
%D Dave Benson, Music: A Mathematical Offering. Cambridge: Cambridge University Press (2006): 164.
%D J. H. Conway and R. K. Guy, The Book of Numbers, New York: Springer-Verlag, 1995, p. 257.
%H Peter A. Frazer, <a href="http://www.midicode.com/tunings/temperament.shtml">Temperament</a>, Midicode, January 2010.
%H Eric Weisstein's World of Music, <a href="http://www.ericweisstein.com/encyclopedias/music/CommaofPythagoras.html">Comma of Pythagoras</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Pythagorean_comma">Pythagorean comma</a>
%H <a href="https://oeis.org/wiki/Index_to_OEIS:_Section_Mu#music">OEIS index entry for music</a>
%H <a href="https://oeis.org/wiki/The_multi-faceted_reach_of_the_OEIS#Music">The multi-faceted reach of the OEIS: Music</a>
%F A229948/A229943 - _Omar E. Pol_, Oct 25 2013
%e 3^12 / 2^19 = 531441/524288 = 1.0136432647705078125
%t RealDigits[N[31441/524288, 50]][[1]]
%Y Cf. A005663, A005664, A010774, A046102.
%K nonn,cons,easy,fini,full
%O 1,4
%A _Jonathan Sondow_, Jan 19 2013
|
