Chess fib for starters

[Senna Jawa]

(Read about championship in Sochi). I got conditioned by Angeline's fibs, finally I had to try one.

tough
match
each game
openings
persistent endgames
unpredictable middlegames
a shiny mountain
one will fall
one will
breathe
deep​

wh,
2014-11-11​

Is my syllable count right? It should be:

1 + 1 + 2 + 3 + 5 + 8 + 5 + 3 + 2 + 1 + 1​

as required by the definition of a Fibonacci poem.

 

[pelegrino]

(Read about championship in Sochi). I got conditioned by Angeline's fibs, finally I had to try one.

tough
match
each game
openings
persistent endgames
and unpredictable middlegames
a shiny mountain
one will fall
one will
breathe
deep​

wh,
2014-11-11​

Is my syllable count right? It should be:

1 + 1 + 2 + 3 + 5 + 8 + 5 + 3 + 2 + 1 + 1​

as required by the definition of a Fibonacci poem.

Looks absolutely symmetrical to me.
Since in Fibonacci series we are allowed to do other manipulations (sonically, that is) and retrogresion is an obvious "technical" choice here it goes and still makes sense to me:

deep
breathe
one will
one will fall
a shiny mountain
and unpredictable middlegames
persistent endgames
openings
each game
match
tough

I apologize, Seena, it's my "trained musical brain" that gets always in the way.

 

[Senna Jawa]

Looks absolutely symmetrical to me.
Since in Fibonacci series we are allowed to do other manipulations (sonically, that is) and retrogresion is an obvious "technical" choice here it goes and still makes sense to me:

deep
breathe
one will
one will fall
a shiny mountain
and unpredictable middlegames
persistent endgames
openings
each game
match
tough

I apologize, Seena, it's my "trained musical brain" that gets always in the way.

But this is highly interesting! Thank you, pelegrino.

 

[Angeline]

(Read about championship in Sochi). I got conditioned by Angeline's fibs, finally I had to try one.

tough
match
each game
openings
persistent endgames
and unpredictable middlegames
a shiny mountain
one will fall
one will
breathe
deep​

wh,
2014-11-11​

Is my syllable count right? It should be:

1 + 1 + 2 + 3 + 5 + 8 + 5 + 3 + 2 + 1 + 1​

as required by the definition of a Fibonacci poem.

.

You'll get hooked like I did!

Your count is correct though there are many ways to construct fibs.

I chose the sequence I did for the symmetry of starting and ending with one syllable. And I didn't want to go longer than eight syllables. And I'm sticking with that for now because it allows me to explore the form more easily, if that makes sense.

 

[Angeline]

Senna, your 8-syllable line is 9 syllables long. If you take out the "and," it will work fine.

 

[Senna Jawa]

ouch!

Senna, your 8-syllable line is 9 syllables long. If you take out the "and," it will work fine.

Ouch, my poor brainy! Angeline, thank you, I am about to correct it.

 

[pelegrino]

Senna, your 8-syllable line is 9 syllables long. If you take out the "and," it will work fine.

That is my fault, Ange, I added the "and", Senna's row was 8 syllables.
I was talking about manipulating the original row. Can it not be allowed as a permutation?
ie. 1-1-2-3-5-9 (9 instead of 8. 9=5+3+1). I add the extra unit since it is repeated in the beginning.
Just a thought. (It's fascinating all this stuff).

 

[Angeline]

That is my fault, Ange, I added the "and", Senna's row was 8 syllables.
I was talking about manipulating the original row. Can it not be allowed as a permutation?
ie. 1-1-2-3-5-9 (9 instead of 8. 9=5+3+1). I add the extra unit since it is repeated in the beginning.
Just a thought. (It's fascinating all this stuff).

Hi Pel.

I believe one can do whatever permutation they devise as long as it reflects a Fibonacci mathematical sequence. One can also count words, instead of syllables, for example. Most Fibonacci poems I've seen are 1-1-2-3-5-8. Some of them go on longer but of course if you keep increasing the numbers, your lines get really long and fast, too! That's why I came up with the idea of going up to 8 and then back down to 1. But that is just a way I chose because staying with it helps me learn how to work within the parameters and manipulate the words across lines. I think if I were changing the sequence--with each stanza, for example--it would be much harder for me to concentrate on the right words. But that's me.

 

[Senna Jawa]

That is my fault, Ange, I added the "and", Senna's row was 8 syllables.
I was talking about manipulating the original row. Can it not be allowed as a permutation?
ie. 1-1-2-3-5-9 (9 instead of 8. 9=5+3+1). I add the extra unit since it is repeated in the beginning.
Just a thought. (It's fascinating all this stuff).

Pelegrino, you're very kind, but it was my own original sin. Once Angeline pointed to my grrrError I fixed it, I have edited it.

And I don't think that in the case of fib which stands for the Fibonacci sequence, any variations of the length are allowed. This is it, the Fibonacci sequence:

1 _1 _2 _3 _5 _8 _13 _21 _34 _55 _89 _...​

The formal recursive definition is:

• a_1 = a_2 = 1
• a_(n+2) := a_n + a_(n+1)

It is related to the golden ratio, and perfect pentagon, and to many other things.

 

[Angeline]

Pelegrino, you're very kind, but it was my own original sin. Once Angeline pointed to my grrrError I fixed it, I have edited it.

And I don't think that in the case of fib which stands for the Fibonacci sequence, any variations of the length are allowed. This is it, the Fiboancci sequence:

1 _1 _2 _3 _5 _8 _13 _21 _34 _55 _89 _...​

The formal recursive definition is:

• a_1 = a_2 = 1
• a_(n+2) := a_n + a_(n+1)

It is related to the golden ratio, and perfect pentagon, and to many other things.

Thank you for explaining that so much better than I could.

I could have gone up to 13 syllables, but 21+ just seems crazy to me. Might be fun to experiment up as much as 34, but then I'd have to fight with page margins and it doesn't seem worth it...

 

[pelegrino]

Pelegrino, you're very kind, but it was my own original sin. Once Angeline pointed to my grrrError I fixed it, I have edited it.

And I don't think that in the case of fib which stands for the Fibonacci sequence, any variations of the length are allowed. This is it, the Fibonacci sequence:

1 _1 _2 _3 _5 _8 _13 _21 _34 _55 _89 _...​

The formal recursive definition is:

• a_1 = a_2 = 1
• a_(n+2) := a_n + a_(n+1)

It is related to the golden ratio, and perfect pentagon, and to many other things.

Yes, it looks pretty similar to golden section ie: the ratio of a smaller to a bigger part = the ratio of the bigger to the sum of the two parts .
(I have used that one in my student days, but later I gave it up. Good that we started talking about them, I may go back to studying them ).
I had a quick look at wikipedia and found this two mathematical expressions:

Golden section:1.6180339887…
Fibonacci: 1.6180327868852

They are both irrational numbers and very beautiful to the eye. I agree, we can not manipulate the Fib series without spoiling its harmony.
The golden section expression looks to me very similar or the same to that used by instrument makers to put frets to a guitar or mandolin in the correct positions on a fretboard.
Anyhow, here is my first effort on a fib, please tell me what you think if you've got time.

I
do
believe
in human
communication
understandably my actions
take me into walls
inscribed: quit!
fine, but
do
I?

 

[Senna Jawa]

Yes, it looks pretty similar to golden section ie: the ratio of a smaller to a bigger part = the ratio of the bigger to the sum of the two parts.

True. The golden ratio was discovered and studied by ancient Greeks--in the context of Nature (anatomy), aesthetics and art... and mathematically, of course. A partition c = a+b of an interval c into shorter a, and longer b, is golden when

b/a = c/b​

or equivalently, when b is the geometric mean of a c, meaning that

b*b = a*c​

It is not possible for three integers a b c to form this kind of a relation. However, the triples of consecutive Fibonacci numbers a b c provide all best approximations, for instance:

• 1*1 = 1*2 - 1
• 2*2 = 1*3 + 1
• 3*3 = 2*5 - 1
• 5*5 = 3*8 + 1
• 8*8 = 5*13 - 1
• etc.

(I hope to continue later).

 

[Senna Jawa]

I had a quick look at wikipedia and found this two mathematical expressions:

Golden section:1.6180339887…
Fibonacci: 1.6180327868852

They are both irrational numbers and very beautiful to the eye.

The first one indeed seem to represent the golden ratio (and the three dots "..." seem to indicate that it is an irrational number). The golden ratio is approximated more and more precisely, with ultimately any arbitrary precision, by the quotients of the consecutive Fibonacci numbers. Thus the top value corresponds already to 196418/121393. The next quotients give still much better approximations:

317811 / 196418; _- 514229 / 317811; _- 832040 / 514229​

etc. Angeline, you may write a fib with a line of 832040 syllables, but who is going to read it (besides me, of course)?

Pelegrino, the second expression above, called Fibonacci, is most likely just a rational number. I think that the author simply meant fraction

f_16 / f_15 _ = _ 987 / 610​

Here is simple program in Perl which gives you the consecutive Fibonacci numbers and the quotients:

================================

#!/usr/bin/perl
#
# program name: Fibonacci
# author: wh

$a[0]=0; $a[1]=1;
for (2..30)
{ $a[$_] = $a[$_-1]+$a[$_-2];
$G[$_] = $a[$_]/$a[$_-1]; $g[$_] = $a[$_-1]/$a[$_]
}

print "\n\n";

for (2..30)
{ print "$_ $a[$_] $G[$_] $g[$_]\n" }

print "\n\n"

===================================

You can always replace the double appearance of 30 by another constant of your choice (I could make it a bit more fancy but never mind ). Also, one should have (very) long reals and multiple precision (infinite precision) in order to get an extensive table and more exact quotients.

These Fibonacci quotients are the simplest chained fractions:

1 -_ 1+1/1 _- 1+1/(1+1/1) _- 1+1/(1+1/(1+1/1))​

etc. One may continue, and one may even consider the infinite fraction like this (the value is defined as the limit of the finite fractions). That infinite fraction is the golden ratio itself. Thus it is irrational. One may consider it to be (one of) the simplest irrational number. But possibly the simplest way to describe it is as the positive root G of the quadratic equation:

G^2 _-_ G _-_ 1 _- = _- 0​

 

[pelegrino]

You go too fast for me Seena.
I don't have your knowledge of mathematics so I am struggling to follow your exposition.
I am not complaining because both numbers interest me very much, especially in their sound applications (and golden section in its architectural ones).
I am watching some videos on youtube quite enlightening for that purpose, but Angeline's current preoccupation with syllabic fib for poetry presents a very nice challenge for poetry also.
Now, how can I combine these syllables with sound pitches expressed in kilohertz?
That's a vast field of speculation for me at present.

 

[Senna Jawa]

destiny and fate

--

fate
pulls
your leg
destiny
peeks from a mountain
climb hard to the top of your lungs
the fate pulls your leg
destiny
becomes
a
star
​

wh,
2014-12-26