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Fibonacci sequence in Tool's Lateralus

geno

geno

Lifer
I've been listening to Tool for a while now, and am not particularly musically inclined, so this has flown over my head for a while. I know nothing of deciphering rhythms and so forth, but I found this pretty cool, even if it's a stretch at some times :

Youtube Video

Interesting watch / read if you have the 10 minutes.

I know this is nothing new, melding mathematical elements with musical structures, but it's cool if you've never realized this sequence is loosely embedded in the song. A buddy of mine whose a huge fan of Tool's showed me this and it's always fun to rediscover music you already like :thumbsup:
 
The song was originally called 9,8,7

It is also the sickest song ever created. Ever. EVER.
 
The entire album can be renumbered to follow the sequence (never bothered to confirm that, don't care) and it still plays together pretty well which is pretty nuts.

I have two different versions of it renumbered and actually prefer it that way.

 
Originally posted by: Platypus
The entire album can be renumbered to follow the sequence (never bothered to confirm that, don't care) and it still plays together pretty well which is pretty nuts.

I have two different versions of it renumbered and actually prefer it that way.
Click to expand...

After seeing this, I googled it and found out about "The Holy Gift", or the resequencing of the tracks to 'spiral' like a Fiboncci sequence. I'm listening to it all to feel it out and am on track 6, it's goddamn cool to breathe life into an otherwise familiar album.
 
Where it says to reorder the tracks into a Fibb sequence it shows the numbers
6, 7, 5, 8, 4, 9, 13, 1, 12, 2, 11, 3, 10

Am I stupid? How is that a Fibb sequence?
 
Reminds me of the solo section in "Fatal Tragedy" by Dream Theater. They decided to use a shrink and grow type algorithm for repetition of backing parts in order to make things more interesting.
 
Originally posted by: GodlessAstronomer
Where it says to reorder the tracks into a Fibb sequence it shows the numbers
6, 7, 5, 8, 4, 9, 13, 1, 12, 2, 11, 3, 10

Am I stupid? How is that a Fibb sequence?
Click to expand...

Just noticed if you pair the numbers they all add to 13 (excluding 13 of course).
6 + 7 = 13
5 + 8 = 13
etc
 
Originally posted by: Ns1
The song was originally called 9,8,7

It is also the sickest song ever created. Ever. EVER.
Click to expand...

I don't think that guy understands what a fibonacci sequence is. He keeps showing numbers that have nothing to do with anything. Like how is 9 8 7 a fibonacci sequence???
 
This was always something I knew and heard about the song, but I've never had it fully explained to me like it was in the video. Great, perhaps one of the greatest songs ever!!
 
There's a Fibonacci-esque part at two places in The Grudge (the first immediately after the words "scarlett letterman") wherein Danny Carey plays a mutliplying pattern of kick drum hits within each beat.

Essentially each whole beat contains increasing numbers of kick drum hits following this pattern:


1, 1, 1-2, 1-2, 1-2-3, 1-2-3, 1-2-3-4, 1-2-3-4, 1-2-3-4-5-6-7-8, 1-2-3-4-5-6-7-8.

That, coupled with the fact that the rest of the song is in 5/8, with the exception of the "chorus-like" parts which are in 4/4, and one other part (left as an exercise to the reader 🙂 ) makes The Grudge my favorite track on the album.
 
Originally posted by: Throckmorton
Originally posted by: Ns1
The song was originally called 9,8,7

It is also the sickest song ever created. Ever. EVER.
Click to expand...

I don't think that guy understands what a fibonacci sequence is. He keeps showing numbers that have nothing to do with anything. Like how is 9 8 7 a fibonacci sequence???
Click to expand...

Fib(16) = 987 🙂

1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
 
Another little "easter egg" on the Lateralus CD is in the song "Ticks and Leeches."

In the middle of that song there is a prolonged break, where the guitar strums a quiet little chord progression and is slowly joined by the bass and drums, both in a quiet fashion before they stop and hesitate for an explosive hit into the finale of the song.

The pause before the first beat of that outro ends precisely at 5:55 on the CD, and the first beat of the outro lands on 5:56 -- certainly not a coincidence. 🙂
 
heh i just reburned this in the holy gift order, gonna see how this in on my drive in to work tomorrow
 
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