Search: id:A061919
Results 1-1 of 1 results found.

%I A061919
%S A061919 1,2,3,4,11,15,19,95,232,251,270,289,308,327,346,365,384,403,422,1285,
%T A061919 1707,2129,3836,19180,28981,32817,36653,40489,44325,48161,51997,259985,
%U A061919 3591629,3643626,3695623,3747620,3799617,3851614,3903611,3955608
%N A061919 A list of equal temperaments (equal divisions of the octave) whose nearest 
               scale steps are closer and closer approximations to the pair of ratios 
               6/5 and 5/3 which generate two complementary musical harmonies, the 
               Minor 3rd (6/5) and the Major 6th (5/3).
%C A061919 The sequence was found by a computer search of all the equal divisions 
               of the octave from 1 to 3955608. The numerical value of each term 
               represents a musical scale based on an equal division of the octave. 
               19, for example, signifies the scale formed by dividing the octave 
               into 19 equal parts. Within the terms shown, the self-accumulating 
               nature of this sequence breaks down five times, between the 4th and 
               5th terms, between the 7th and 8th terms, between the 8th and 9th 
               terms, between the 23rd and 24th terms and between the 32nd and 33rd 
               terms, but the sequence is of interest because it shows the terms 
               generated when this pair of target ratios stands alone.
%C A061919 Later, in other sequences, this pair of target ratios will appear in 
               combination with other pairs of target ratios, resulting in new, 
               different (and often recurrent), composite sequences. The examples 
               of proper recurrence which do occur in this sequence are of the same 
               type which is seen in sequences A054540, A060526, A060527 and A060233.
%Y A061919 A054540, A060525, A060526, A060527, A060528, A060529, A060233, A061416, 
               A061918.
%Y A061919 Sequence in context: A155768 A138985 A141704 this_sequence A002098 A162969 
               A104109
%Y A061919 Adjacent sequences: A061916 A061917 A061918 this_sequence A061920 A061921 
               A061922
%K A061919 nonn
%O A061919 1,2
%A A061919 Mark William Rankin (MarkRankin95511(AT)Yahoo.com), May 15 2001

Search completed in 0.001 seconds