I decided to start my research off with the best album of all time (fact, not opinion!) Sgt. Peppers Lonley Hearts Club Band by the Beatles. I wanted to see if this classic album had any relation to the golden section, and I found some pretty cool stuff. Only 1 song on the album really conformed to the sequence and that was "Lucy in the Sky with Diamonds", which is probably the most commercially successful song on the album.
- the climax of the song comes at about 128 seconds in when John Lennon yells and there's a short solo
- the song is 208 seconds/128 seconds = 1.62 (very close to the 1.618 ratio!!)
As an avid Beatles fan, I knew that I needed to check to see if the album as a whole had any relation to the Fibonacci sequence. This album is definltey meant to be played straight through and it is also one of the most well known and best reviewed albums, so it would be really cool if Sgt. Peppers had any relation to the golden section.
The entire album is exactly 37:05 long. In order for the album to conform to the Fibonacci sequence, there has to be some dramatic climax/instrumental solo at around 23:30. 23:30 into Sgt. Peppers is about halfway through the song "Within You, Without You." Now this song is pretty much all instrumental and there is a huge climactic instrumental part at that EXACT time in the song. So that means that the hugely popular and historical Sgt. Peppers Lonely Hearts Club Band fits exactly into the Fibonacci sequence!
This is crazy guys, I can't believe that this is actually working and we are finding this stuff. Keep it up, we can definitely find some awesome relationships soon. I'm gonna work on all the other Beatles' albums.
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HOW TO HELP US WITH THIS BLOG
It is said that when a piece of music conforms to Fibonacci numbers and/or the golden section, human beings are more inclined to like that song than one that does not. Our goal is to take that statement and see if there is any validity to it by running tests on the most popular songs from different years. We want to see if we can find any relationships between past "hits" and Fibonacci numbers, and eventually want to see if we can determine chart toppers by whether or not they subscribe to Fibonacci. Here is how to help us out...
The main Fibonacci numbers are:
1,2,3,5,8,13,21,34,55,89,144,233,377,610,987. When a piece of music has a duration of one of these numbers and a dramatic instrumental element at another, it is said to be a Fibonacci song. For example, if "Born in the USA" by Springsteen is 377 seconds long and the instrumental climax appears at 144 seconds into the song, it is considered to be a Fibonacci piece of music.
Calculating the golden section is a little bit different. First, pick a song and find the duration of that song in seconds. Next, find the instrumental climax of the song and divide the duration by the dramatic element. If the ratio is 1.619 or something very close to that, it is said to be a golden section song. For example, if "One Way Out" by the Allman Brothers is 420 seconds long and the dramatic element appears at 260 seconds into it, you would get: 420/260 = 1.615 making it close enough to be a golden section song!
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3 comments:
That is really cool - I can't believe that! It seems that the album conforms to the golden ratio, but does it also conform to Fibonacci?
Meaning, if you look at the fiobnaccia numbers, do they line up at all?
1,1,3,5,8,13,21,34,55,89...
no, i don't think the album lines up to the Fibonacci numbers. Although somewhat close, it is not close enough in my opinion to be labeled both a golden ration and Fibonacci sequence album.
The fibonacci sequence albums have proven harder to find. if anyone finds one, be sure to let us know.
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