need HELP on "Golden Ratio" in music

[crazy for ivan moravec]

guys, anyone who knows how to get the golden mean (golden ratio) of a music piece, say a chopin prelude... or anything at all...

does this mean the golden ratio is the "climax"? what's the step-by-step formula to get it? i'm really poor in mathematics... please make it easy to understand as well.


thank you, thank you, in advance!

[bench warmer]

Here's a good start. Happy adventuring!

https://web.hep.uiuc.edu/home/karliner/golden.html

[jas]

I've got a couple of articles on that I can email to you if you like? One's on the golden mean in general, the other's on a Chopin prelude.

[elgreco]

guys, anyone who knows how to get the golden mean (golden ratio) of a music piece, say a chopin prelude... or anything at all...

does this mean the golden ratio is the "climax"? what's the step-by-step formula to get it? i'm really poor in mathematics... please make it easy to understand as well.


thank you, thank you, in advance!

Here the short-form definition in words:

Two quantities are said to be in the golden ratio, if "the whole (i.e., the sum of the two parts) is to the larger part as the larger part is to the smaller part"

Bartkók used the golden ratio and Fibonacci numbers to construct many of his works, take a look at the score of the Sonata for two pianos and percussion, for instance. There he makes extensive use of both, not only on a large scale level, to determine the overall form and length, but also in detail! The whole Sonata has the length of 6432 eighth notes and the second movement starts after 3975 eighth notes, which is exactly in the golden ratio (6432 x φ = 3974.9 [φ or Phi ≈ 0.618]).

I hope this helps!

Best wishes, ElGreco