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 A060527 A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of 8 musical tones: 8/7 16/11 5/4 4/3 3/2 8/5 11/8 7/4. 10

%I

%S 1,2,3,4,5,6,7,9,10,12,15,22,26,31,41,63,72,87,109,161,202,224,270,

%T 494,612,742,764,836,1012,1084,1106,1308,1417,1578,3426,4843,6421,

%U 6691,10698,12276,18355,19461,21039,22887,25046,26894,31737,33585,35163

%N A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of 8 musical tones: 8/7 16/11 5/4 4/3 3/2 8/5 11/8 7/4.

%C The sequence was found by a computer search of all of the equal divisions of the octave from 1 to over 35163.

%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 109 = 87 + the previous term 22. Again, 184417 = 121524 + the previous terms (54624 and 6691 and 1578).

%Y Cf. A054540, A060525, A060526.

%K nonn

%O 1,2

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

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