Sacred Harmonics & Phi

[TranceAm]

I knew there was a reason for this picture I uploaded:

[herbivore]

Originally Posted by TranceAm

I knew there was a reason for this picture I uploaded:

so what's the reason?

[GregorArturo]

Ya, I'm pretty familiar with that crop circle. It's pi.

[Genevieve]

Heya people - very interesting thread!!!

While I am a very musical person - the mathematics part is WAY beyond me - the inherent "patterns" and resonance in music is something i feel rather than logically understand.

Anyway seeing as you guys are obviously very mathematically inclined i wanted to share these links on Benoit Mendelbrot - his ideas on the "geometry of chaos" and visual representations of this theory of the patterns created when you use zero as a starting point.

You are probably all very familiar with all this already - i remember reading about this guy about 15 years ago and while the numbers didnt "speak" to me the patterns and beauty of the repetition of apparent randomness just blew me away!!

I have no idea if these concepts are in any way related but after reading "The Coral Castle" it occured to me that maybe old Ed had discovered a way to harness "randomness" rather than looking along the lines of a rigid 3 dimensional law??

Enjoy!!!

http://www.fractalwisdom.com/FractalWisdom/fractal.html

http://video.google.com/videoplay?do...30356432628677

[TranceAm]

Originally Posted by herbivore

so what's the reason?

http://www.harmonics.com/lucy/lsd/chap1.html

The Pythagorean system , instead of arriving at the octave after 12 steps i.e. (3^12)/(2^18) becomes 531441/262144 = 2.0272865 instead of 2.0000 as we assume when tuning a guitar by fifths at the seventh fret. This difference or error is known as Pythagoras' lemma. Every system seems to be an imperfect compromise, which is probably why mathematicians and musicians have devoted millions of hours to searching for the perfect scale.

Initially, the idea of 53 notes on a geometric progression seemed to be a sensible solution, and I read that Bosanquet's harmonium on this scale had been in the Kensington Science Museum since the 1880's. I went to find it, but it was in storage. Instead I found Mr. Chew. I told him of my quest and that I had a hunch that the solution was in some way connected with the music of the spheres and the Greek letter " Pi ".

Pi

"That's what Harrison thought."

I enquired further and discovered that John Harrison (1693-1776)John Longitude Harrison (1693-1776), an horologist, had discovered longitude and won a £20,000 prize from Parliament after the personal intervention of George III. I was directed to the Clockmakers' Library in the Guildhall, and there found a treasured copy of A Description concerning such Mechanism as will afford a nice, or true Mensuration of Time; together with Some Account of the Attempts for the Discovery of the Longitude by the Moon; and also An Account of the Discovery of the Scale of Musick, harrison.zip only to be refused permission to photocopy any of it, due to its antiquity. I eventually acquired photocopies of the relevant pages from another source. Harrison had written in such an obscure style that I suspected that he intended to hide its secrets from all but the most diligent enquirer.

The essence of what Harrison said is as follows:

"The natural scale of music is associated with the ratio of the diameter of a circle to its circumference." (i.e. pi = 3.14159265358979323846 etc.)

And it is a crob circle showing Pi.

[herbivore]

Originally Posted by TranceAm

http://www.harmonics.com/lucy/lsd/chap1.html

The Pythagorean system , instead of arriving at the octave after 12 steps i.e. (3^12)/(2^18) becomes 531441/262144 = 2.0272865 instead of 2.0000 as we assume when tuning a guitar by fifths at the seventh fret. This difference or error is known as Pythagoras' lemma. Every system seems to be an imperfect compromise, which is probably why mathematicians and musicians have devoted millions of hours to searching for the perfect scale.

Initially, the idea of 53 notes on a geometric progression seemed to be a sensible solution, and I read that Bosanquet's harmonium on this scale had been in the Kensington Science Museum since the 1880's. I went to find it, but it was in storage. Instead I found Mr. Chew. I told him of my quest and that I had a hunch that the solution was in some way connected with the music of the spheres and the Greek letter " Pi ".

Pi

"That's what Harrison thought."

I enquired further and discovered that John Harrison (1693-1776)John Longitude Harrison (1693-1776), an horologist, had discovered longitude and won a £20,000 prize from Parliament after the personal intervention of George III. I was directed to the Clockmakers' Library in the Guildhall, and there found a treasured copy of A Description concerning such Mechanism as will afford a nice, or true Mensuration of Time; together with Some Account of the Attempts for the Discovery of the Longitude by the Moon; and also An Account of the Discovery of the Scale of Musick, harrison.zip only to be refused permission to photocopy any of it, due to its antiquity. I eventually acquired photocopies of the relevant pages from another source. Harrison had written in such an obscure style that I suspected that he intended to hide its secrets from all but the most diligent enquirer.

The essence of what Harrison said is as follows:

"The natural scale of music is associated with the ratio of the diameter of a circle to its circumference." (i.e. pi = 3.14159265358979323846 etc.)

And it is a crob circle showing Pi.

i know what pi is. that crop circle isn't pi, it's a crop circle describing pi? but how is it describing pi?

[GregorArturo]

http://www.mailonsunday.co.uk/news/a...op-circle.html

Music might be based on pi too (As all mathematics are entwined), but what I did graph wise up there proves it, not to mention many other people agree with it, just the info on it was umm not complete for some reason. I know 432 is related to pi when dividing it by 9 a bunch I believe.

[GregorArturo]

Hey I wanted to point out as most people didn't seem to notice it (and no one responded to it directly), but in my second post where I posted the answer to my own question.

If look below the graph, I show the numerical difference between each note [in the scale of C3]. They're all irrational numbers, except for one which is the rational number of 19.5.

Remember what 19.5 was which Hoagland talked about. 19.5 is a fundamental frequency to some interesting extent. What's interesting too is 20 is a powerful frequency and related to several different things along with being apart of the multiple of two phenomenom (1,2,4,8,16,32...). 20 is also a very sacred number to freemasonry.

Now if you know Coral Castle, there's a big thing about 'drop below'. Drop the frequency below 20hz to 19.5hz hmmmmmm....

[BeaTnik-BandiT]

More stuff.........


http://web.archive.org/web/200306111...om/gallery432/

http://www.redicecreations.com/radio...ICR-080803.php


salute.