Fibonacci: "The composer Bartok Bela was very interested in many aspects of nature and science. Some of his scores have the Fibonacci numbers actually marked at the relevant bars, and one composition, the fourth quartet, has 2584 beats in it. Many other composers apparently used numbers, but if, like Bartok, they did not leave any writings about it, the possibility of coincidence cannot be disproved."

"1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 etc
This sequence is known as the Fibonacci series, and is well known in mathematics. Each number is the sum of the previous two. The ratio of successive pairs tends to the so-called golden section (GS) - 1.618033989 . . . . . whose reciprocal is 0.618033989 . . . . . so that we have
1/GS = 1 + GS"

And here is more on what Karl was telling me.. and far more difficult and more likely than the Beethoven story. Also a really good page on Fibonacci sequences, too.

Posted at 9:28 AM #

Comments:

View Comments »

Fibonacci

Fibonacci: "The composer Bartok Bela was very interested in many aspects of nature and science. Some of his scores have the Fibonacci numbers actually marked at the relevant bars, and one composition, the fourth quartet, has 2584 beats in it. Many other composers apparently used numbers, but if, like Bartok, they did not leave any writings about it, the possibility of coincidence cannot be disproved."

"1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 etc
This sequence is known as the Fibonacci series, and is well known in mathematics. Each number is the sum of the previous two. The ratio of successive pairs tends to the so-called golden section (GS) - 1.618033989 . . . . . whose reciprocal is 0.618033989 . . . . . so that we have
1/GS = 1 + GS"

And here is more on what Karl was telling me.. and far more difficult and more likely than the Beethoven story. Also a really good page on Fibonacci sequences, too.