Fibonacci 60 Repeating Pattern (and other natural mathematical wonders!)

Silent Bob

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So, as promised on the logarithm thread here is one on the Fibonacci sequence. Many of you will already be familiar with this sequence, but for those who aren't here is a quick summary.

It is a number sequence with 1 simple rule to find the next number - just add the previous two numbers together. You start with 1.

So, first number is 1. The next is also 1, as there is only one previous number at this point. Then we get 2 (1+1) then 3 (1+2) then 5(2+3) then 8(3+5) etc.

so the sequence goes: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 etc

There are all sorts of patterns in nature formed by this sequence, but that is fairly standard stuff you see all over. This next pattern is particularly interesting.

The last digit of the numbers in the Fibonacci Sequence form a pattern that repeats after every 60th number:

0, 1, 1, 2, 3, 5, 8, 3, 1, 4, 5, 9, 4, 3, 7, 0, 7, 7, 4, 1, 5, 6, 1, 7, 8, 5, 3, 8, 1, 9, 0, 9, 9, 8, 7, 5, 2, 7, 9, 6, 5, 1, 6, 7, 3, 0, 3, 3, 6, 9, 5, 4, 9, 3, 2, 5, 7, 2, 9, 1

This pattern can be seen in the following list of the first 72 Fibonacci numbers at this link Fibonacci 60 Repeating Pattern - The Golden Ratio: Phi, 1.618

If you write these 60 numbers around a circle (or clockface....) you get this:

1606428485998.png


The first thing to notice is how the number zero occurs 4 times, at 3, 6, 9, and 12 o'clock or N, E , S, W on a compass. What are the odds?

The second point is that the number 5 occurs where each hour mark would be on a clock (except for 3, 6, 9 and 12 which are zeros), which also represents 5 minutes..... Coincidence?

Also all the numbers opposite each add together to equal 10, except for the zeros.

So, is this where our measurement of time comes from? A clock built into nature itself, all from adding two numbers to get the next one!

When I first stumbled across this I realised that this must be where our measurement systems using base 60 come from. This also strengthens Velokovski's claim that we had 360 days in the year in ancient times, especially when we also have 360 degrees in a circle aswell. I was teaching maths at the time and included this in my lessons. I also discussed it with the head of maths, who was a real maths geek - he had never heard about it. He kept looking at me puzzled and saying 'are you sure?' - completely blew his mind :)

More here:


As a brief aside and a chuckle, here is Dave Allen trying to teach his son how to tell the time - makes you realise it's trickier thatn you think :)

View: https://www.youtube.com/watch?v=0QVPUIRGthI
 

Silveryou

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On the clock there are:
4 zeros
8 ones
4 twos
8 threes
4 fours
8 fives
4 sixes
8 sevens
4 eights
8 nines

The complete sequence around the clock:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1.597, 2.584, 4.181, 6.765, 10.946, 17.711, 28.657, 46.368, 75.025, 121.393, 196.418, 317.811, 514.229, 832.040, 1.346.269, 2.178.309, 3.524.578, 5.702.887, 9.227.465, 14.930.352, 24.151.817, 39.082.169, 63.233.986, 102.316.155, 165.550.141, 267.866.296, 433.416.437, 701.282.733, 1.134.699.170

Some divisions:
3/2 = 1,5
5/3 = 1,666666666666667
8/5 = 1,6
13/8 = 1,625
21/13 = 1,615384615384615
34/21 = 1,619047619047619
55/34 = 1,617647058823529
89/55 = 1,618181818181818

34/3 = 11,33333333333333
377/34 = 11,08823529411765
4.181/377 = 11,09018567639257
46.368/4.181 = 11,09016981583353
514.229/46.368 = 11,09016994478951
5.702.887/514.229 = 11,09016994374102
63.233.986/5.702.887 = 11,08806574634917
701.282.733/63.233.986 = 11,0902819411068

55/5 = 11
610/55 = 11,09090909090909
6.765/610 = 11,09016393442623
75.025/6.765 = 11,09016999260902
832.040/75.025 = 11,09016994335222
9.227.465/832.040 = 11,0901699437527
102.316.155/9.227.465 = 11,08821924548075
1.134.699.170/102.316.155 = 11,09012716515784
 
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Silent Bob

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On the clock there are:
4 zeros
8 ones
4 twos
8 threes
4 fours
8 fives
4 sixes
8 sevens
4 eights
8 nines

Some divisions:
3/2 = 1,5
5/3 = 1,666666666666667
8/5 = 1,6
13/8 = 1,625
21/13 = 1,615384615384615
34/21 = 1,619047619047619
55/34 = 1,617647058823529
89/55 = 1,618181818181818
I didn't spot the 8/4 pattern, well spotted!

Dividing the subesquent terms as you have above is how to get the golden ratio Phi, which is the number found throughout nature. You can see with each division we get closer to the value for Phi, until we hit it pretty much exactly with 89/55.

This is a nice video showing how it works, I used to play this in my GCSE maths lessons when we covered sequences.

View: https://www.youtube.com/watch?v=greG6_f7Y7Q
 

Felix Noille

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This is excellent stuff. I'm totally useless at maths, but this is fascinating.

I grew up with pounds, shillings and pence (and even farthings and ha'pennies), feet and inches, fathoms etc. and I often wondered if decimalisation was some kind of attempt to disconnect us from something. Looks like it may well have been.

Everything to do with measurement seemed to be based on 12 - inches in a foot, pennies in a shilling, a.m. hours and p.m. hours, months in a year. However, then you'd get 20 shillings in a pound (21 in a guinea), 7 days in a week, 3 feet in a yard....? If nothing else it used to keep your mind well exercised.
 

Silent Bob

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This is excellent stuff. I'm totally useless at maths, but this is fascinating.

I grew up with pounds, shillings and pence (and even farthings and ha'pennies), feet and inches, fathoms etc. and I often wondered if decimalisation was some kind of attempt to disconnect us from something. Looks like it may well have been.

Everything to do with measurement seemed to be based on 12 - inches in a foot, pennies in a shilling, a.m. hours and p.m. hours, months in a year. However, then you'd get 20 shillings in a pound (21 in a guinea), 7 days in a week, 3 feet in a yard....? If nothing else it used to keep your mind well exercised.
I've been saying this for years, decimilisation definately dumbed us down, as well as using calculators and automatic tills etc. Like any skill, if you never use it you lose that skill. Many people think they are useless at maths, just about everyone I've ever taught fell into this category. However, this is just another layer of the deceit as everyone can do it when they need to. They teach maths in a way that most people don't understand, you have to be very left brained to follow it. This is why they want you to use their methods, makes it more confusing than using your own method and keeps you thinking that you can't do maths.

I read a book recently which was written in the early 1900's 'The ragged trousered philanthoripists', which is in itself an interesting topic for this forum. It's all about painter and decorators renovating old houses. No mention of any new building going up, only renovating quickly and cheaply! I digress, another thread lol.

The point I wanted to make was one of the characters working out his wages for the week. He worked 40 hours for 7p and hour, and as he walks home from work he casually works it all out in his head as 2 pounds, 3 shillings and 4 pence. As someone who has always been good at calculating in my head, I still found this tricky to work out as easily as he did. I had to work out 7 x 40 = 280p, then 240p in a pound leaving 40p, then 12p in a shilling so 3 shillings = 36p leaving 4p ..... phew, not an easy head calculation and yet back then even 'uneducated' manual workers could do it no problem. How many people can work this out today? Clear evidence of dumbing down! Also evidence that when it's important anyone can work it out. I have talked to many people who thought they were rubbish at maths but they didn't realise they were already very good. Like the milkman who could calculate all sorts in his head from daily practice when collecting money on his rounds, even though he was rubbish at maths at school. Anyone who worked in a shop was good at calculating until the till started working it out for you. The best example was someone I worked with once who was a keen gambler. He was surprised to learn that his maths was not only good, he could calculate odds far quicker than me, especially in texas hold em - all comes down to motivation!

So the movement from imperial to metric has robbed us of being able to work things out for ourselves. There's something natural and comforting about the numbers used in imperial, 12 inch to a foot, 3 feet to a yard, 16oz to a lb, rather than 10, 100, 1000 etc - so bland! I would say imperial is natural whilst metric is artificial. It's interesting that people have always been naturally opposed to the change from imperial to metric, even though it is easier to use. Overall great mind exercise, as you say, to use the old measurements.
 

Silent Bob

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Great thread.
I wonder how the above info pertains to music being allegedly changed 43 to 44khz?
I've thought about this one, the thing that sticks out for me is the factors of 432 are 'better' than those for 440. By 'better' I'm talking about my preference for 3, 6, 9 etc, the natural feeling numbers.

So you can divide 432 by: 2, 4, 8, 3, 6, 9, 12 - similiar to our imperial measurements

you can divide 440 by: 2, 4, 8, 5, 10 - the absence of 3, 6 and 9 could be key here, we get 5 and 10 instead making it feel metric....

I love the comparison from this guy, playing at both frequencies. Starts about 4 mins in.

View: https://www.youtube.com/watch?v=Rt3EAPDn-Ug


I definately prefer the 432hz version, feels more relaxing to me.
 

Citezenship

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This is a video that is part of a series that offers some of the best explanations of this phenomena for me, quite long but well worth the time.

It is just a short bit of the overall series, i used to have this all backed up on an old mechanical drive that unfortunately failed last year, but i will try to hunt it down again.

View: https://youtu.be/eYDwWbDhCEg
 

msw141

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Everything to do with measurement seemed to be based on 12 - inches in a foot, pennies in a shilling, a.m. hours and p.m. hours, months in a year.
Is anyone aware of theories linking these measurements to a race other than our own? I thought I heard that we have a base 10 numerical system because we have 10 fingers, which makes sense. So then would legends of 6 fingered people (nephilim or otherwise) be a source for these other base 12 systems?
 

Citezenship

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Everything to do with measurement seemed to be based on 12 - inches in a foot, pennies in a shilling, a.m. hours and p.m. hours, months in a year.
Is anyone aware of theories linking these measurements to a race other than our own? I thought I heard that we have a base 10 numerical system because we have 10 fingers, which makes sense. So then would legends of 6 fingered people (nephilim or otherwise) be a source for these other base 12 systems?
Damn good question that i have not considered before!
 

msw141

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thanks, but I'm sure I heard it somewhere else. thinking about it, measurements involving time and zodiac would have to be the oldest knowledge we maintain, and would be more likely to be different than others we developed later as we developed our own knowledge, if they were passed to us from others.
 
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Felix Noille

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I was hoping this thread would get linked to sound. I'm sure it's a key issue with regards to stolen history, just as all the old world constructions used the golden section, there must be an equivalent in sound.

It's all about harmony in all senses of the words - 'harmony' and 'senses.'

Royal Rife was able to cure diseases with sound frequencies, so perhaps if we still lived in an environment that was harmoniously compatible in the architectural and aural sense we wouldn't get the diseases in the first place.

Perhaps this is all linked to how civilisation has degraded to the point where the worst in human nature dominates rather than the best?

(I will be watching the above videos tonight. Many thanks for the links (y))

PS: Just noticed that the sound card in my PC doesn't support 43.2khz, only 44.1. Will I be able notice the difference?
 
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Citezenship

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I was hoping this thread would get linked to sound. I'm sure it's a key issue with regards to stolen history, just as all the old world constructions used the golden section, there must be an equivalent in sound.

It's all about harmony in all senses of the words - 'harmony' and 'senses.'

Royal Rife was able to cure diseases with sound frequencies, so perhaps if we still lived in an environment that was harmoniously compatible in the architectural and aural sense we wouldn't get the diseases in the first place.

Perhaps this is all linked to how civilisation has degraded to the point where the worst in human nature dominates rather than the best?

(I will be watching the above videos tonight. Many thanks for the links (y))

PS: Just noticed that the sound card in my PC doesn't support 43.2khz, only 44.1. Will I be able notice the difference?
I think the sound version is cymatics, sound literally creating shapes, this vid demonstrates how sound has a physical effect on matter.

As for the sample rate of your sound card, that really does not matter as it is just the play back medium, if the sound you listen to, say the instruments are tuned to 432 then it will play back in this, 44.1 is just the sample rate, just like frames on a movies reel but with sound instead of needing 30-60 frames per second sound needs 44.100hz.

The tuning scale of the instruments are where the adjustment is need, I make sounds with a modern day sequencer called logic pro, I used to use one called reason, funny eh, but in these you can set the master tuning to 432 which effects all instruments within.

Anyway here are some fun visuals with the medium of sound!

View: https://youtu.be/Q3oItpVa9fs

Post automatically merged:

Also cymatic has been known about since well the rise of modern sc-eince, s-cience,

Rosslyn Chapel - Wikipedia,

just one example, there are many many more,

the repeating patterns in most moorish architecture, most religious architecture, it is almost every where in the classical/old world!
 
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Blue Ice

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I saw this 360 days in a year claim, and I was both fascinated and very confused. How could it be, I don’t understand. If there is such a big difference between the true year and conventional year, wouldn’t seasons spill into each other, solistices and equinoxes be displaced? Aren’t these hard numbers?
 

msw141

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I saw this 360 days in a year claim, and I was both fascinated and very confused. How could it be, I don’t understand. If there is such a big difference between the true year and conventional year, wouldn’t seasons spill into each other, solistices and equinoxes be displaced? Aren’t these hard numbers?
My understanding is that for Velikovsky's Worlds in Collision premise this is evidence that something occurred that would explain why there was uniformity of 360 day calendars in ancient times, followed by a shift to 365 day calendars. Perhaps something knocked us into an altered orbit.

To your point, being off by 5 days would certainly be noticeable and so rounding it off just to divide cleanly by 12/60 doesn't seem practical or likely given how important it would be for accuracy in tracking these events.
 

kd-755

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The year is 360 suns or sun ups or sun rises if you prefer.
 

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