Fibonacci sequence in Tool's Lateralus

geno

Lifer
Dec 26, 1999
25,074
4
0
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:
 

Ns1

No Lifer
Jun 17, 2001
55,420
1,599
126
The song was originally called 9,8,7

It is also the sickest song ever created. Ever. EVER.
 

Platypus

Lifer
Apr 26, 2001
31,046
321
136
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.

 

geno

Lifer
Dec 26, 1999
25,074
4
0
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.

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.
 
Oct 27, 2007
17,009
5
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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?
 

CraKaJaX

Lifer
Dec 26, 2004
11,905
148
101
Damn, that's pretty sick. But jesus, how does someone come up with this stuff? :confused:
 

ethebubbeth

Golden Member
May 2, 2003
1,740
5
91
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.
 
Oct 27, 2007
17,009
5
0
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?

Just noticed if you pair the numbers they all add to 13 (excluding 13 of course).
6 + 7 = 13
5 + 8 = 13
etc
 
Mar 11, 2004
23,444
5,848
146
So is this more of Tool fans finding something that Tool did not do (and Tool even basically calling their fans tools for thinking they did)?
 

Throckmorton

Lifer
Aug 23, 2007
16,829
3
0
Originally posted by: Ns1
The song was originally called 9,8,7

It is also the sickest song ever created. Ever. EVER.

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???
 

Chriscross3234

Senior member
Jun 4, 2006
756
1
0
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!!
 

lyssword

Diamond Member
Dec 15, 2005
5,630
25
91
regardles of fibonacci sequence or not, this is one of the most epic songs ever made :D
 

schneiderguy

Lifer
Jun 26, 2006
10,801
91
91
Originally posted by: darkswordsman17
So is this more of Tool fans finding something that Tool did not do (and Tool even basically calling their fans tools for thinking they did)?

yes
 

Cerpin Taxt

Lifer
Feb 23, 2005
11,940
542
126
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.
 
Oct 27, 2007
17,009
5
0
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.

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???

Fib(16) = 987 :)

1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
 

Cerpin Taxt

Lifer
Feb 23, 2005
11,940
542
126
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. :)