|
Search: id:A061416
|
|
|
| A061416 |
|
A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the pair of ratios 11/8 and 16/11 which generate two complementary musical tones. |
|
+0
4
|
|
| 1, 2, 6, 7, 9, 11, 13, 24, 37, 505, 542, 579, 616, 653, 690, 727, 764, 801, 838, 875, 912, 949, 986, 1935, 2921, 4856, 11647, 16503, 148527, 181533, 214539, 219395, 235898, 252401, 268904, 285407, 301910, 318413, 334916, 351419, 367922, 384425
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
The sequence was found by a computer search of all the equal divisions of the octave from 1 to 384425. The numerical value of each term represents a musical scale based on an equal division of the octave. 24, for example, signifies the scale of quartertones which is formed by dividing the octave into 24 equal parts. The recurrence in this sequence breaks down three times, between the 2nd and 3rd terms, between the 9th and 10th terms and between the 28th and 29th terms, but the sequence is of interest because shows the terms generated when this pair of target ratios stands alone. Later, in other sequences, this pair of target ratios will appear in combination with other pairs of target ratios, resulting in new, different, composite sequences. The examples of proper recurrence which do occur in this sequence are of the same type as is seen in sequences A054540, A060526, A060527, A060529 and A060233.
|
|
CROSSREFS
|
A054540, A060526, A060527, A060529, A060233, A001149 and A000045.
Sequence in context: A019913 A047554 A079335 this_sequence A020897 A020898 A047277
Adjacent sequences: A061413 A061414 A061415 this_sequence A061417 A061418 A061419
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Mark William Rankin (MarkRankin95511(AT)Yahoo.com), May 02 2001
|
|
|
Search completed in 0.002 seconds
|
