I am not sure the link will work so I'll just paste it.

The Lyrics of the main "chorus" of Lateralus are phonetically spoken (sung)
in the fibonacci sequence, which I personally think is quite beautiful.

Black | 1
Then | 1
White are | 2
All I See | 3
In my in*fan*cy | 5
Red and yell*ow then came to be | 8
reach*ing out to me | 5
Lets me see | 3

There is |2
So | 1
Much | 1
More and | 2
Beck*ons me | 3
To look through to these | 5
In*fin*ite poss*ib*il*it*ies | 8

As bel*ow, so ab*ove and bey*ond, I im*ag*ine | 13
Drawn out*side the lines of rea*son | 8
Push the En*vel*ope | 5
watch it bend | 3

Is there any meaning or purpose to this?
The golden spiral is related to the fibonacci sequence and the lyrics later
tell us to spiral out so there's a definite connection there I think...
The reason we appreciate good music is when there are patterns within it.
Humans are built as pattern recognising machines. Our tribal forbearers had
to recognise patterns in weather, day/night lengths, prey movements,
seasonal fruits, etc, in order to survive. Nature 'selected' those who were
best at recognising the myriad of patterns that furthered our survival.
Hence we all have that ability.
In our leisure times we then cast our eyes to the skies and found patterns
in the constant backdrop of the stars.
Music is another leisure activity were we could satisfy our brains appetite
for patterns.

But there's more to it than just that.
According to R.N. Elliot "Human emotions are rhythmical; they move in waves
of a definite number and direction" (From New Scientist, 31 August 2002).
I'm not going to go into detail of the article but basically our emotions
(and thus our collective emotions, which is related to the up and down
motion of the stock market) tend to sway in a manner that is very closely
linked to the fibonacci sequence.

I think my question is are Tool harnessing the natural biorhythms of humans
to create 'perfect' sounding music?
(I read somewhere that there is something to do with 987 (also a
fibonacci number) as a time signature with the guitars?? Unfortunately I'm
completely clueless with that sort of thing so any help there would be
appreciated!)

Or is towards some other aim? It sounds as if spiralling out means trying to
achieve the divine-mind state of consciousness? (" to swing on the spiral of
our divinity and still be a human.")

per chi non sapesse cosa sono i numeri di fibonacci ve lo riassumo dicendo
che si ottengono sommando i due precedenti per avere quello successivo. si
parte da due 1 poi si iniza con le somme:
1
1
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13
8+13=21