A060526 - OEIS

%I #1 May 16 2003 03:00:00

%S 1,2,3,4,5,7,9,10,12,15,19,21,22,31,53,84,87,94,99,118,130,140,171,

%T 270,410,441,612,935,966,1053,1106,1277,1547,1578,2954,3125,3566,6691,

%U 9816,11664,14789,18355,39835,48545,54624,58190,59768,63334,81689,84814

%N A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of six simple musical tones: 8/7 5/4 4/3 3/2 8/5 7/4.

%C The sequence was found by a computer search of all of the equal divisions of the octave from 1 to over 84814.

%C The numerical value of each term represents a musical scale based on an equal division of the octave. 12, for example, signifies the scale which is formed by dividing the octave into 12 equal parts.

%F Recurrence: the next term equals the current term plus one or more of the previous terms: a(n+1) = a(n) + a(n-x)... + a(n-y)... +a(n-z)..., etc.

%e 84 = 53 + the previous term 31. Again, 291152 = 103169 + the previous terms (84814 + 81689 + 11664 + 9816).

%Y Cf. A054540, A060525, A060257.

%K nonn

%O 1,2

%A Mark William Rankin (MarkRankin95511(AT)Yahoo.com), Apr 01 2001