Pythagoras and the math of everything

reply to post by Utnapisjtim


This is a great post which also looks at the physics of music. It looks like you have had training in musical theory. it is really interesting to compare the frequencies and wavelengths of every musical note , from C, C# onwards.

I play the flute and for me this is a magical instrument; especially as the flute is nothing but a hollow tube with openings on top and the notes have to be "captured" when you first start learning the instrument. Then they remain available .

Musical notes have established correspondences with many things around us ; whether it be astrological signs, coulours, states of consciousness, etc.

Your post will make me enquire a little bit more in Pythagorean principles..

Two Pythagoreans concerning Pythagorean music theory:
-- What is the Oracle of Delphi?
-- The Tetraktys, the very thing which is the Harmony of the Sirens
(source: Iamblichus, 'Life of Pythagoras', ch. 18)

Pythagoras: "The starting-point of Number is the Decad [Gr. 'deca' = 10]; for all Greeks and all Barbarians count as far as ten, and when they get as far as this they return to the monad. The power of ten is in four and the tetrad" (source: Aetius, Vetusta Placita)

The Tetraktys represents many principles in geometry and number theory. The infamous number 666 is the 37th triangle number for instance, which can be found by extending the figure above beyond the Tetraktys.

The triangle number n is found by:


Using the example above, we get: 37 x (37 - 1) / 2 = 666

reply to post by crowdedskies


Flutes are indeed magic, then again, the magic can be understood. Below is a flute presumably made and used around 55,000 years ago by either Neanderthals or Cro-Magnons. The dimentions and spacing of the holes suggest it was used to play melodies in the do-re-mi scale.



According to en.wikipedia.org... it was "found in 1995 at the Divje Babe archeological park located near Cerkno in northwestern Slovenia." and "the presumed flute has been associated with the "end of the middle Pleistocene" and the time of Neanderthals, about 55,000 years ago."

Utnapisjtim
The infamous number 666 is the 37th triangle number

Using the example above, we get: 37 x (37 - 1) / 2 = 666

Interesting you bring up the number of the beast.
(Music calms the nature of the beast!)

Just for interest sake..

The God number - 777 plus the number of man 666.

Three sevens equals 21 - three sixes equals 18.
Adding 21 plus 18 equals 39.

39 inches to a metric meter.
Mans and Gods number equal a - metric meter

Probably has nothing to do with your musical Pythagorean theory,
just thought you might find it interesting

Be well.

reply to post by HumAnnunaki


There's another interesting thing about the number 37 appart from it's mentioned relation with 666. Not that each of the numbers to the far left is the sum of the three numbers in the given products of 37 (1+1+1=2 -- 2+2+2=6 and so on):

3 x 37 = 111
6 x 37 = 222
9 x 37 = 333
12 x 37 = 444
15 x 37 = 555
18 x 37 = 666
21 x 37 = 777
24 x 37 = 888
27 x 37 = 999

Why do you think 777 is God's number?

Utnapisjtim

Why do you think 777 is God's number?

Not so sure as I can only find that specific number (777) once
in the bible as the age of how long Lamech lived.

Lol - listened to too many preachers tell tall tales, I suppose

Curiously I wonder if it shows up in the Qu'ran or Kolbrin..?

Must research that

Utnapisjtim
reply to post by HumAnnunaki

 

There's another interesting thing about the number 37 appart from it's mentioned relation with 666. Not that each of the numbers to the far left is the sum of the three numbers in the given products of 37 (1+1+1=2 -- 2+2+2=6 and so on)

Naturally that is not true. It should be Note in the first highlight and 1+1+1=3 is to replace the second.

Sorry, I have a terrible keyboard and English is not my mother tongue.

HumAnnunaki

Utnapisjtim

Why do you think 777 is God's number?

Not so sure as I can only find that specific number (777) once
in the bible as the age of how long Lamech lived.

Lol - listened to too many preachers tell tall tales, I suppose

Curiously I wonder if it shows up in the Qu'ran or Kolbrin..?

Must research that

If God is a number, he is 1

Utnapisjtim
reply to post by Utnapisjtim

 

Tried another aproach to check if the Schumann resonance of 7.83 Hz relates to the Pythagorean tuning. By simply double up from 7.83 and see if something happens.

Octaves:
7.83 x 2 = 15.66
15.66 x 2 = 31.32
31.32 x 2 = 62.64
62.64 x 2 = 125.28
125.28 x 2 = 250.56
250.56 x 2 = 501.12

Perfect fifths:
7.83 x 1.5 = 11.745
15.66 x 1.5 = 23.49
31.32 x 1.5 = 46.98
62.64 x 1.5 = 93.96
125.28 x 1.5 = 187.92
250.56 x 1.5 = 375.18
501.12 x 1.5 = 751.68

Anyone seeing something of significance here? These are all frequencies in Hz supposed to be in perfect harmony with the Schumann resonance. This was a complete waste of time it seems.

Forgive me for starting in the middle of your posts however I first wanted to clear up an error in your calculations.
For Pythagoras 3:2 ratio tuning multiply the starting pitch frequency by 1.5 to calculate a pitch a perfect 5th higher.

A-E-B-F#=C#-G#-D#-A#-F-C-G-D

fo clarity
7.83x8=62.64

The pitch 62.64 in comparison to the most common "standard tunings would be close to a "B"…for instance in equal temperament
A=440
B=61.735412657015513

however equal temperament 444 is closer
in A=444
B=62.296665874557543

here's equal temperament A=444

A=55.5-111-222-444-888
A#-58.800259343320995
B-62.296665874557543- 7.787083234319693
C-66.000994882651016
C#-69.925668091644323
D-74.083618504569594.
D#-78.488894654584299
E-83.156079797429843…665.24863837943874
F-88.100789770424438….
F#-93.33950209316231
G-98.889775328479317
G#-104.770058038836636
A=111

------------------------
Pythagorean 444
----------
A-55.5...444-888
A#-59.266845703125
B-62.4375………….999
C-66.675201416015625
C#-70.2421875
D-75.009601593017578
D#-79.0224609375
E-83.25-….-666
F-88.9002685546875
F#-93.65625
G-100.012802124023438
G#-105.36328125
A-112.514402389526367….450.057609558105469

438.023923634044043
----------
444 tuning sums numbers that have "meaning.888 is an important number ( the key number actually).In Greek isopsephy the letters equal numbers.The name Iesous (Jesus is the Latin transliteration) is 888.

In Pythagorean 3:2 tuning the pitches A and E form 2 sides of a Pythagorean right triangle triple

A=888
E=666

666²+888²=1110²

Is 7.83 significant yes....and there is much much more to this....

Utnapisjtim
reply to post by crowdedskies

 

Flutes are indeed magic, then again, the magic can be understood. Below is a flute presumably made and used around 55,000 years ago by either Neanderthals or Cro-Magnons. The dimentions and spacing of the holes suggest it was used to play melodies in the do-re-mi scale.

I wish it was found in a better state (with at least one more hole) to confirm the mathematics of the Do Re Mi scale. What intrigues me is that in our age we can readily get the formula for hole spacing should we wish to make our own flute. But 55,000 years ago how would they have figured it out ?

The creator Gods "number" is not 777.That is religious rhetoric and obesseion with "a" number like 666 or in this case "7".Numbers have meaning in ratios to other numbers.

Hebrew and Greek are alphanumeric languages where the letters are also numbers.Hebrew is called gematria Greek isopsephy.The name the creator God told Moses was

אֶהְיֶה אֲשֶׁר אֶהְיֶה

Ehyeh asher ehyeh

which literally translates as "I Will Be What I Will Be... more commonly referred to as "I AM That I AM" or the tetragrammaton YHWH...(YaHWeH)

The Hebrew letters sum to 543.Not ironically Moses name sums to 345
543+345=888

Hebrew to Greek the name of Jesus is
Yahoshua=יהושע=Iesous=Ἰησοῦς
Ἰησοῦς=888
In Greek christ(christos) is Χριστός.
Χριστός.=1480
---------
Iesous+christos
888+1480=2368
2368/2=1184

That forms a Pythagorean right triangle

888²+1184²=1480²
788,544+1,401,856=2,190,400

37 is the "root" to these numbers
37x24=888
37x40=1480
37x64=2368

Numbers only have "meaning" in ratios with other numbers.For example 666 is in a ratio with 888 via a Pythagorean right triangle triple as I stated in my previous post it is also the 444 tuning pitches A-E..that is only a scratch on the surface of an atoms quark.Numbers are not "evil or good" as many have twisted the number 666 and others into.Everything has a ratio (relationship....btw the key ratio is 1.618......Phi..the "Golden ratio".

Pythagoras

Quotations by Pythagoras:

Every man has been made by God in order to acquire knowledge and contemplate.

Geometry is knowledge of the eternally existent.

Number is the within of all things.

There is geometry in the humming of the strings.

Time is the soul of this world.

-Quoted in Des MacHale, Wisdom (London, 2002).

Utnapisjtim

HumAnnunaki

Utnapisjtim

Why do you think 777 is God's number?

Not so sure as I can only find that specific number (777) once
in the bible as the age of how long Lamech lived.

Lol - listened to too many preachers tell tall tales, I suppose

Curiously I wonder if it shows up in the Qu'ran or Kolbrin..?

Must research that

If God is a number, he is 1

Yes you are correct but it is not just that God is a "number"..... 1 is in a ratio relationship.
The Fibonacci sequence is the most significant number sequence for a multitude of reasons the most known reason is it sums phi/Phi..the "Golden Ratio"

(ex Fn11/Fn12=89/144=.618055555555.....

Fibonacci numbers(Fn) from 0-12
0,1,1,2,3,5,8,13,21,34,55,89,144....

to address the 1st statement of the creator God being the number heres is how the sequence "begins"
0=Fn0
1=Fn1
0+1=1
Fn0+Fn1=Fn2
Fn2=1

That is the "beginning" of all things which is ironic because it is adding "0" to 1 to sum a number however repeating the process "creates" the Fibonacci sequence which is the sequence of how ALL material life grows.

Fn1+Fn2=Fn3
1+1=2

Fn2+Fn3=Fn4
1+2=3

etc etc to infinity

The "beginning ratio "signifies" the creator God.
Fn1=1=the creator God the Father
Fn2=1=The creator God the Son

Yahoshua said "The Father and I are "1"....

Rex282
In Pythagorean 3:2 tuning the pitches A and E form 2 sides of a Pythagorean right triangle triple

A=888
E=666

At least this 444Hz system looks nice, however, I would rather have they returned it to 432Hz to be honest. I can't find any good reason for changing the pitch even higher.

666²+888²=1110²

Didn't know that, thanks! BTW: 1110^2 = 1232100, which is another funnynumber that shows the synchronicity of our position system.

Is 7.83 significant yes....and there is much much more to this....

I see all over the net people yelling that 432Hz is in harmony with 7.83Hz, but when I do the math, it shows no such things, then again I am not really into algoritms and sound engeneering, so the chances are I'm wrong, perhaps this is when the vibrato comes in, that we intentionally detune our voices to the Schumann resonance just a tad in order to oscilate the voice vs. 7.83Hz.

Utnapisjtim

Rex282
In Pythagorean 3:2 tuning the pitches A and E form 2 sides of a Pythagorean right triangle triple

A=888
E=666

At least this 444Hz system looks nice, however, I would rather have they returned it to 432Hz to be honest. I can't find any good reason for changing the pitch even higher.

666²+888²=1110²

Didn't know that, thanks! BTW: 1110^2 = 1232100, which is another funnynumber that shows the synchronicity of our position system.

Is 7.83 significant yes....and there is much much more to this....

I see all over the net people yelling that 432Hz is in harmony with 7.83Hz, but when I do the math, it shows no such things, then again I am not really into algoritms and sound engeneering, so the chances are I'm wrong, perhaps this is when the vibrato comes in, that we intentionally detune our voices to the Schumann resonance just a tad in order to oscilate the voice vs. 7.83Hz.

edit on 14-1-2014 by Utnapisjtim because: Bad tag

440 ET tuning has it's purpose because it has a Fibonacci sequence.

444 ET tuning is being used by artist like Paul Mc Cartney .The pitch frequencies in the "different" standards of tunings are barely noticeable by physical vibration perception(and no I'm not getting into anything mystical)

Vibrato has nothing to do with this..it's just a "technique" ( a modern one at that) Tesla and Schumann are right.The math doesn't lie.When it comes to frequency in music it gets more complicated.Especially with equal tempered tuning which is technically out of tune and an "adjustment to make the 2:1 octave.The 444 tuning is very close to 7.83=B...EXACTLY is 446.446768014000964 equal temperament tuning.

Yes 1110²=1,232,100 is interesting ....especially (TO ME!) doing "non" traditional math calculations.
example
1,232,100=
1+232+100=333
123+210+0=333
12+32+100=144

crowdedskies
I wish it was found in a better state (with at least one more hole) to confirm the mathematics of the Do Re Mi scale.

You can see two more holes, or rather traces after one hole in each end, It sort of fits "by the eigth" which is what the do-re-mi scale is called in the Book of Psalms.

Rex282
Vibrato has nothing to do with this..it's just a "technique" ( a modern one at that) Tesla and Schumann are right.The math doesn't lie.When it comes to frequency in music it gets more complicated.Especially with equal tempered tuning which is technically out of tune and an "adjustment to make the 2:1 octave.The 444 tuning is very close to 7.83=B...EXACTLY is 446.446768014000964 equal temperament tuning.

Not only is it out of pitch...

"The tuning continuum of the syntonic temperament [...] includes a number of notable "equal temperament" tunings, including those that divide the octave equally into 5, 7, 12, 17, 19, 22, 26, 31, 43, 50, and 53 parts." en.wikipedia.org...

Now with 53 notes in an octave things start to become very complicated indeed!

Yes 1110²=1,232,100 is interesting ....especially (TO ME!) doing "non" traditional math calculations.
example
1,232,100=
1+232+100=333
123+210+0=333
12+32+100=144

How about 144,000 / 216 = 666.66666...? According to some kabbalists God's name has 216 (3 x 72) letters. Another fun thing is that on arm's length your hand measures roughly 10° or roughly 1/36th of the horizon, and like I showed earlier, adding the numbers between 1 and 36 gives the sum 666. A cubit on arm's length equals 60° or 1/6th of the horizon

Most of what I have written about concerning Pythagoras in this thread is from a great book called:

"The Pythagorean Sourcebook and Library" [Phanes Press] compiled and translated by Kenneth Sylvan Guthrie
Link to it's page on Amazon.com

The book is a well of information on Pythagoras and Pythagorean philosophy and a priced gem in my book collection.

This anthology, the largest collection of Pythagorean writings ever to appear in English, contains the four ancient biographies of Pythagoras and over 25 Pythagorean and Neopythagorean writings from the Classical and Hellenistic periods. The material of this book is indispensable for anyone who wishes to understand the real spiritual roots of Western civilization.

(From the above amazon link)

Utnapisjtim
This tone is in perfect harmony with the Schumann resonance of 7.83Hz (“the hum of the Earth”).

No, it's not. A harmonic is an even integer multiple of some fundamental frequency. 7.83Hz is not a fundamental of 432Hz.

The Schumann resonance isn't a sound. It's not a hum. It's not even a signal. It's the Earth-ionosphere sphere-in-sphere waveguide self resonance frequency. If you have lightning in the right places, you can excite the waveguide, but what you get is a radio wave. Not a sound.

More, the Schumann resonance point is actually badly defined because neither the Earth nor the ionosphere are that spherical, and the ionosphere's height varies constantly. So it's never the same frequency twice, and it's actually several at once. 7.82Hz is a sort of mean.

Utnapisjtim

crowdedskies
I wish it was found in a better state (with at least one more hole) to confirm the mathematics of the Do Re Mi scale.

You can see two more holes, or rather traces after one hole in each end, It sort of fits "by the eigth" which is what the do-re-mi scale is called in the Book of Psalms.

Thanks for clarifying this.