The Stranger

This is another very well known song by Mr. Joel... It is 5:06 in length and the climax occurs at 3:13

5:06/3:13 = 1.585

This is close enough I think to be considered significant correlation with Fibonacci.

I am psyched about how much patterning I've noticed in Billy's greatest hits..no wonder they are greatest hits....Fibonacci left his mark...


To recap, 4 songs definitely follow fibonacci, this 1 is borderline, and 1 was a bit too far away. But overall, every song is within reasonable distance from 1.618 and Billy so far can be considered a definite prophet of Mr. Fibonacci.

The Stranger

This is another very well known song by Mr. Joel... It is 5:06 in length and the climax occurs at 3:13

5:06/3:13 = 1.585

This is close enough I think to be considered significant correlation with Fibonacci.

I am psyched about how much patterning I've noticed in Billy's greatest hits..no wonder they are greatest hits....Fibonacci left his mark...


To recap, 4 songs definitely follow fibonacci, this 1 is borderline, and 1 was a bit too far away. But overall, every song is within reasonable distance from 1.618 and the album as a whole so far can be considered a definite prophet of Mr. Fibonacci.

New York State of Mind

This timeless classic is 6:o3 in length. The golden section occurs from 3:20 to 3:56, with a dramatic pause at 3:44. I found this to be a significant point in the song....

6:03/3:44 = 1.62!

Billy has done it again! This is the 4th of 5 songs so far on GHV1 that have conformed to Fibonacci.

This is becoming a very promising venture..!

We'll Be Together Again

The next song on the Great American Song Book is entitled "We'll Be Together Again," originally performed by Frank Sinatra and covered by Rod Stewart.

The Frank version is 266 seconds in length and has an extremely long instrumental climax (almost a minute long) ranging from 127 seconds to 185 seconds. The golden section comes at almost the halfway point in the climax, at 165 seconds

266/165 = 1.618

The Rod version is a little bit shorter, clocking in at 234 seconds. It too has a very long instrumental climax, although again a little bit shorter ranging from 118 seconds to 147 seconds. The golden section comes at about 145 seconds in, very close to the end of the climax.

234/145 = 1.613

To recap, both songs appear to conform to the golden section. However, since both songs have very long climaxes, it's pretty easy for them to conform. The Sinatra version is definltey more credible because the golden section comes almost exactly halfway through the climax, where it is at the tail end of Rod's.

Say Goodbye to Hollywood

Track 4 off GHV1 is Say Goodbye to Hollywood. The song is 3:42 long and has a clear golden section which begins at 1:49 and ends at 2:22. The interesting part is that a distinct hesitation or pause in the instrumental section, which I believe to be its climax, occurs at 2:17.

3:42/2:17= 1.62! FIBONACCI!

Billy is 3 for 4 right now and the one he's missed on was just outside the range....so far this is very exciting and I hope to find more corresponding hits from Billy as I continue researching GHV1.

Time for More Billy Joel

Track 3 on Greatest Hits Vol. I is "The Entertainer". This isn't one of my personal favorites but it's on the cd nonetheless. The song is 3:38 in length and the golden section (a short one of about 12 seconds) occurs at 2:20 in.

218/140 = 1.557

This is close but I think just far enough to discount from displaying the presence of fibonacci. However, it is at least worthy of being notedly not far off.

I will continue on in my search, so far Billy has made me proud..

Someone To Watch Over Me

I couldn't leave for Spring Break having been diasspointed by Rod.

I searched some more and was able to find another example of Rod working his magic.

"Someone to Wacth Over Me" is pretty old, but very recognizable. Judy Garlands version is very nice, but certainly not a golden section song. It's 195 seconds long so the golden section should be right at two minutes in and at that point there is nothing going on. Also none of her dramatic points match up or even approximate any Fibonacci numbers.

Now the Rod version on the other hand...

it does match up with several Fibonacci numbers, as well as being close on a few others (i found stuff at 8, 22, 31, and 55 seconds, all on or near Fib numbers).

The climax occurs at 130 seconds, when Rod elevates his voice a little extra for this part. With the song being 211 seonds long,

211/130=1.623...close enough for me. Heres another example of rod lengthening the song and having the climax hit the golden section.

That's more like it Rod!