Secrets of Fibonacci.. a taste of whats to come

[7redorbs]

Here we have the 'magical' 432 number sequence. What we are going to do is demonstrate what happens when we add the number 432 like 4+3+2 - this is how mark rodins torroid coil maths works. It is very similar. The patterns are objectionably present. We will help explain what we think they mean soon !!

The reason I decided to make this information available was become someone asked me 'what is the significance of 432hz" - 'prove it' - 'what makes it special'? Tesla's 3 6 9 makes it special. The golden proportion make it's special, and because of the way the number non linearly adds up, affects the way the non linear Fibonacci sequence adds up also. It's a special number for resonance, harmonics, and superposition.

The meaning of numerology, and egyptian fractions. To me, probably aren't what they are to do.

That could change, and in fact, I invite it - and continued discussion and research into this theory.

anonymous@unixmachine:~/432$ ./nonlinear-fibonacci2.sh

432 is the target here, 4+3+2=9 =0th
432 is the target here, 4+3+2+9= 18 = 1st
starting sequence at (Ratio 40 : 3 : 0.2)
ANALYSIS 432
0th : 9
1th : 18
2th : 27
3th : 45
4th : 72
5th : 117
6th : 189
7th : 306
8th : 495
9th : 801
10th : 1296





= linear sequence of non linear addition found in fibonacci =
ANALYSIS 432
0th : 9 =9
1th : 18 =9
2th : 27 =9
3th : 45 =9
4th : 72 =9
5th : 117 =9
6th : 189 =18
7th : 306 =9
8th : 495 =18
9th : 801 =9
10th : 1296=18


anonymous@unixmachine:~/432$ ./nonlinear-notfibonacci-input.sh

237 is the random target here, 2+3+7=12 =0th
237 is the random target here, 2+3+7+12= 24 = 1st
starting sequence at (Ratio 2 : 3/200ths : 7/200ths)

ANALYSIS 237
0th : 12
1th : 24
2th : 36
3th : 60
4th : 96
5th : 156
6th : 252
7th : 408
8th : 660
9th : 1068
10th : 1728


= linear sequence of non linear addition found in fibonacci =
0th : 12 =3
1th : 24 = 6
2th : 36 = 9
3th : 60 = 6
4th : 96 = 15
5th : 156 = 12
6th : 252 = 8
7th : 408 = 12
8th : 660 = 12
9th : 1068 =15
10th : 1728 = 18


Where does 432 sit?
431 is the index of a prime Fibonacci number.
432 = 4 × 33 × 22.
433 is the index of a prime Fibonacci number.

not far from rock gate

more to come soon, including source code.

Yours truly,
Adam

[7redorbs]

there is a strange bug with my app will reupload the correct detials shortly!!

redorbs

[Rediscover]

Let's see:

432 / 3 = 144
144 / 3 = 48
48 / 3 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1

432 / 2 = 216
216 / 2 = 108
108 / 2 = 54
54 / 2 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1

inverting 2 and 3 periodicity strikes again, the building and destruction reversed.

ikke@tuin:~$ ./fibshit.sh 432
sequence: 0 : 9 9
sequence: 1 : 18 9
sequence: 2 : 27 9
sequence: 3 : 45 9
sequence: 4 : 72 9
sequence: 5 : 117 9
sequence: 6 : 189 9
sequence: 7 : 306 9
sequence: 8 : 495 9
sequence: 9 : 801 9
sequence: 10 : 1296 9
ikke@tuin:~$

The non-linearity for a fibonacci spiral can be linearity after all, please take a disc, rotate it and draw a straight line from left to right at constant speed.



It seems musical, how about redefining the scale, next octave starts at phi or fibonacci factor times base frequency instead of 2, I'll start investigating this for the complete EM spectrum, probably going to find some nice boundaries for the elements at the axis points, somebody maybe could check it for musical properties as I have no musical skills.;)

[7redorbs]

woah! nice post, you made me go away and think a lot about this.

azio@km23308-02:~/432/package$ ./typea.sh 9 432
ANALYSIS 432
0th : 9 = 9
1th : 18 = 9 MICROCOSM
2th : 27 = 9
3th : 45 = 9
4th : 72 = 9
5th : 117 = 9
6th : 189 = 18 = 9 <--- size isnt everything again! velocity |
7th : 306 = 9 curve |
8th : 495 = 18 = 9 <--- size isnt everything again! |
9th : 801 = 9 \|/
10th : 1296 = 18 = 9 '
11th : 2097 = 18 = 9
12th : 3393 = 18 = 9
13th : 5490 = 18 = 9
14th : 8883 = 27 = 9 <--- size isnt everything again
15th : 14373 = 18 = 9
16th : 23256 = 18 = 9
17th : 37629 = 27 = 9
18th : 60885 = 27 = 9
19th : 98514 = 27 = 9
20th : 159399 = 36 = 9 <--- size isnt everything again!
21th : 257913 = 27 = 9 <--- size isnt everything again!
22th : 417312 = 18 = 9
23th : 675225 = 27 = 9
24th : 1092537 = 27 = 9
25th : 1767762 = 36 = 9 - - - - - - - - - - - - - - - - - - - - - - - - - Section 2--
26th : 2860299 = 36 = 9 <--- size isnt everything again! .
27th : 4628061 = 27 = 9 <--- size isnt everything again! /|\
28th : 7488360 = 36 = 9 <--- size isnt everything again! velocity |
29th : 12116421 = 18 = 9 curve |
30th : 19604781 = 36 = 9 <--- size isnt everything again! |
31th : 31721202 = 18 = 9
32th : 51325983 = 36 = 9
33th : 83047185 = 36 = 9
34th : 134373168 = 36 = 9 <--- size isnt everything again!
35th : 217420353 = 27 = 9
36th : 351793521 = 36 = 9
37th : 569213874 = 45 = 9 <--- SIZE ISNT EVERYTHING!!! LOOK!! VERY IMPORTANT!!
38th : 921007395 = 36 = 9
39th : 1490221269 = 36 = 9
40th : 2411228664 = 36 = 9
41th : 3901449933 = 45 = 9 - MIRROR 42th
42th : 6312678597 = 54 = 9 - MIRROR 41th
43th : 10214128530 = 27 = 9
44th : 16526807127 = 45 = 9 - MIRROR 45th
45th : 26740935657 = 54 = 9 - MIRROR 44th
46th : 43267742784 = 54 = 9 - MIRROR 47th, MIRROR 50th
47th : 70008678441 = 45 = 9 - MIRROR 50th
48th : 113276421225 = 24 = 6
49th : 183285099666 = 63 = 9
50th : 296561520891 = 54 = 9 - MIRROR 47th MACROCOSM














Explanation more:

you can work out fibonacci 'non linearly' by using a pyramid like analysis:

42th : 6312678597 = 54 = 9
43th : 10214128530 = 27 = 9 7-2=5
\/
44th : 16526807127 = 45 = 9
45th : 26740935657 = 54 = 9
46th : 43267742784 = 54 = 9
/
47th : 70008678441 = 45 = 9 4-4=2 (n=48th)
|/
48th : 113276421225 = 24 = 6 4+2=6 (n=49th digit 1) 5-2=3 (n=49th digit 2)
|\
49th : 183285099666 = 63 = 9 6+3-4=5 (n=50th digit 1) 3+6-5=4 (n=50th digit 2)

50th : 296561520891 = 54 = 9


in short you use the first derived digit of +1nth, to work out the second digit of +1nth

Because it's base 3 (trig) - then the distribution of the waveforms always allow for a complete reference from 2 points in space time, or physics, or math.

[7redorbs]

the reasoning behind this _pattern arising_ is to do with the granularity of a number, say if the start fibonacci sequence begun at 8?

ANALYSIS 431
0th : 8 = 8
1th : 16 = 7 <-- unbalanced still granular
2th : 24 = 6 <-- unbalanced still granular
3th : 40 = 4 <--unbalanced still granular
4th : 64 = 10 <-- unbalanced
5th : 104 = 5 <-- unbalanced
6th : 168= 15 <-- unbalanced
7th : 272 =11 <-unbalanced
8th : 440 = 8 < -- still unbalanced
9th : 712 = 9 <--- critical point of granular propogation balance achieved at first harmonic 9
10th : 1152 = 9 <-- balance maintained
11th : 1864 = 18 <-- still i balance (div 9, div 3) ~ div 6 is the inbetween
12th : 3016 = 9 < --- still balanced (div 9, div 3) ~ div 6 is the inbetween
13th : 4880 = 20 <--- balance lost
14th : 7896 = 30 <-- balance lost
15th : 12776 = 23 <--- balance still lost
16th : 20672 = 17 <--- returning to a balance state (flip flop)
17th : 33448 = 22 <--- returning to a balance state (flip flop)
18th : 54120 = 12 <---- div 3, div 6 almost returned to balanced state (close harmonic)
19th : 87568 = 34 <--- next order of density
20th : 141688 = 30 <---
21th : 229256
22th : 370944
23th : 600200
24th : 971144
25th : 1571344
26th : 2542488 = 33 <--- still a clean irrational fraction of 'div 3 6 9'
27th : 4113832 = 22 <--- new harmonic of lower density order
28th : 6656320
29th : 10770152
30th : 17426472
31th : 28196624
32th : 45623096
33th : 73819720 = 37
34th : 119442816 = 36 <--- reached an `island of stability`. - div 3 6 9 (will increase as Nth gets bigger )
(because source granularity becomes gradually infinitely larger, combinatively, at a harmonic resonance (fit inside of) previous numbers sequences).
35th : 193262536 = 37 <-- still unbalanced, less so
36th : 312705352 = 28 <--- still unbalanced
37th : 505967888 = 56 <-- unbalanced
38th : 818673240 = 39 <-- balance may be increasing
39th : 1324641128 = 32 <--- flip flop + lower density
40th : 2143314368 = 35 <--- near miss , still unbalanced
41th : 3467955496 = 58 <--unbalanced
42th : 5611269864 = 48 <--- unbalanced div 12
43th : 9079225360 = 43 <--- flip flop, still unbalanced
44th : 14690495224 = 46 <--- still unbalanced flip flop
45th : 23769720584 = 53 <-- flip flop, still unbalanced
46th : 38460215808 = 45 <-- balanced achieved nominally
47th : 62229936392 = 53 <-- unbalanced still
48th : 100690152200 = 26 <--- unbalanced 8
49th : 162920088592 = 52 = 7 flip flop, approaching greater stability
50th : 263610240792 = 42 = 7 approaching greater stability

the way the 9 times table works gives this all away, quickly. If you ponder it long enough.

[7redorbs]

Solfeggio Frequencies.

UT – 396HZ = 18 = 9 (self h:t:u ratio)
RE – 417HZ = 12 = 3 (self h:t:u ratio)
MI – 528HZ = 15 = 6 (self h:t:u ratio)
FA – 639HZ = 18 = 9 (self h:t:u ratio)
SOL – 741HZ = 12 =3 (self h:t:u ratio)
LA – 852HZ = 15 = 6 (self h:t:u:ratio)

"Proportions of the whole"

Tesla was right.

'Trust me'. Egyptians just did math different. The only thing you don't know is that the mathematicians

are 'very very very very wrong' about the usefulness of those fractions.

Very.

Egyptian Pi, 22/7 =
3.14 28 57
__5 10 12

28= 14 x 2

28 / 9 = 3

5+10+12 = 9 = 27 = 9

28 x 2 = 12 = 56 +1 (hexachord solfege)

The irrational numbers have perfect symmetry. Because they last forever (divide indefinitely). ! So obvious, if you think about it long enough ;-) That's why they were used for music. Because, thats what a harmonic is, a standing wave, a perfect circle.

Some real awesome links!

http://forums.abrahadabra.com/showth...1613#post41613
http://kachina2012.wordpress.com/200...d-the-3-norns/

(and no I found out all this myself, it seems I'm not the only one doing similar stuff!)
yours truly,
redorbs

[7redorbs]

your numbers but slightly different (I see the brilliant co-incidence with your 2 to 3 substitution) a similar thing to what I'm suggesting.. but also note:

() == i change to show alternative alg.

432 / 3 = 144 = 9 decimal: 9
144 / 3 = 48 = 12 decimal: 2+1= 3
48 / 3 = 16 = decimal: 7
16 / (3) = 5.333333333333333 (1/2 48/3) decimal5+3=8)
8 / (3) = 2.6666666666666666 (1/2 16/3) decimal: (2+6=8)
4 / (3) = 1.3333333333333333 (1/2 8/3) decimal: (1+3=4)
2 / (3) = 0.6666666666666666 (1/2th 4/3)

2/3 +4/3 = 8/3 + (half 8/3)

1.618...The Divine Proportion. Phi is an answer. In its deepest form, reality is mathematical in nature. Mathematically speaking, Phi is a non-solution as it is an irrational system, yet Phi is an intricate part of our universe.

432 / 2 = 216 = 9
216 / 2 = 108 = 9
108 / 2 = 54 = 9
54 / 2 = 27 = 9
27 / (2) = 13.5 (1/2 * 54/2) <---- 1/2 * 27 * 54/2 = 364.5 One Solar Year.
9 / (2) = 4.5 (1/3rd * 27/2)
3 / (2) = 1.5

Also it is interesting to note:
1 / 3 * 1.5 = 0.5
^ Complete measuring system for _all scales_ It's fractal.

Egyptian Phi= The Golden Mean Ratio is given by PHI = (1 + sqrt(5))/2 = 1.618

To discuss Phi without speaking of Fibonacci sequence is telling only half of the story. Fibonacci sequence was discovered by Leonardo Fibonacci as a growth pattern. It is a simple pattern starting with 1, adding it to itself then dividing the answer by the previous number...for example: 1 + 1= 2, 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, 5 + 8 = 13... now here is where Phi comes into play... 3/2 = 1.5, 5/3 = 1.666..., 8/5 = 1.6, 13/8 = 1.625...now lets jump ahead... 144/89 = 1.6179...The higher in sequence you go, the closer to "true" Phi you get. A beautiful example of Phi and Fibonacci sequence is flower petal growth and shell development.

Cultus Phi's MySpace Blog | F Cultus Phi F

[Rediscover]

Really, really getting somewhere, please have a review of your code, it might be a little bit off

11th : 1864 = 18 <-- still i balance (div 9, div 3) ~ div 6 is the inbetween
12th : 3016 = 9 < --- still balanced (div 9, div 3) ~ div 6 is the inbetween

1864 -> 19 (1)
3016 -> 10 (1)

Definitely a way to go, have to put some more thinking into it, I'll do that for sure.

10th sequence always provides stability, you can find this for every number, just try ;)

And to make matters worse, something nice for the brain: take a sphere, rotate it on one axis at constant speed, let's call the intersections of the axis and the sphere poles, draw a line from pole 1 to pole 2 and continue to the first pole. We end up with two 3 endpoints two compressing poles and an maximum inflated equator. Current flows from equator to pole on northern hemisphere in north by east direction, continues to equator in south by west direction and continues to flow to pole on southern hemisphere in south by west direction, there it continues to flow north by east to the equator. end of line, beginning is end.

This seems to explain a lot about the opposite atmospheric currents on earth, the opposite currents at jupiter's surface and sunspot propagation, the equator seems to be a pole, pressure opposing to the "normal" north and south pole.

Because it's base 3 (trig) - then the distribution of the waveforms always allow for a complete reference from 2 points in space time, or physics, or math.

And provides scalability, now you really got me thinking, please allow some time to brain coredumps.

[7redorbs]

Wow,yes, getting to places fast ;)

check this out:

1/7 = .14285714285714285714….

2/7 = .285714285714….

3/7 = .428571428571….

4/7 = .571428571428….and so forth….

Notice anything missing there: 3, 6, 9. This is the exact pattern from which the eneagram is derived, this series, with the 369 finishing the familiar 9-pointed pattern. One could call 369 triangular numbers; the others, square.

I'm really bashed, I need to go chill out. I need to have a think on this, could all math work like the law of conservation? (it doesn't matter how much energy, it really is the space that the energy is in that determines the harmonics).

Same seem to applies with the math! I could be wrong though. Great stuff man !

Yours truly,
redorbs

[Rediscover]

7 notes in an octave, balanced by 3 6 9. I really wish I understood music better. ;) Seems like Marko Rodin had a point too.