

A060526


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.


10



1, 2, 3, 4, 5, 7, 9, 10, 12, 15, 19, 21, 22, 31, 53, 84, 87, 94, 99, 118, 130, 140, 171, 270, 410, 441, 612, 935, 966, 1053, 1106, 1277, 1547, 1578, 2954, 3125, 3566, 6691, 9816, 11664, 14789, 18355, 39835, 48545, 54624, 58190, 59768, 63334, 81689, 84814
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OFFSET

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..50.


FORMULA

Recurrence: the next term equals the current term plus one or more of the previous terms: a(n+1) = a(n) + a(nx)... + a(ny)... +a(nz)..., etc.


EXAMPLE

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


CROSSREFS

Cf. A054540, A060525, A060257.
Sequence in context: A032955 A320848 A228234 * A301599 A036408 A274583
Adjacent sequences: A060523 A060524 A060525 * A060527 A060528 A060529


KEYWORD

nonn


AUTHOR

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


STATUS

approved



