Originally posted by MysticPearl
For those of us less versed in musical terms, what exactly does all this mean?
What's a fifth, and what's the importance of fifths? What's a tritone, and why is it/they important? What can someone not musically versed do with
this information? Is this like the philosopher's stone which can supposedly change metal to gold? Does this music, or tones, or frequencies, not even
sure of the correct wording, cause one to reach higher levels of consciousness during meditation? Why are ratios important? And ratios pertaining to
what exactly? 4 units of one frequency to 3 units of another? That might be an incredibly dumb question, but I would not know given my limited
understanding of musical theory. Just trying to understand. This seems it was written more for musicians who understand the lingo. And what do free
masons have to do with all this? My grandfather was a mason and said nothing about perfect 4ths or 5ths, not that I know what those are in the first
place.
I apologize for being the kid holding back the class.edit on 8-2-2012 by MysticPearl because: (no reason given)
More tingles! haha. Actually you are asking the fundamental question. O.K. this is so basic yet so radical. As I mentioned it was rediscovered in
quantum physics. What I'm talking about is something called the "time-frequency uncertainty principle."
O.K. we think of time in the West as spatial distance so even the concept of frequency assumes a symmetric measurement or wavelength ratio.
In quantum physics the "time-frequency uncertainty principle" was discovered by Dennis Gabor at the Institute of Advanced Study Princeton (where
Einstein hung out) -- Gabor also discovered the holograph.
Basically what this means is the shorter something is in time the more longer is or uncertain is the frequency. So the shorter the time the more
"wideband" the frequency goes.
So what is the octave -- the ratio 1:2 -- but it's like the sound of one hand clapping -- it assumes there is a visual string that has a beginning
and end and then a node in the center if pressed or held down makes the string vibrate in two parts and the sound is then an octave higher.
So then Pythagoras discovered - or actually this is ancient knowledge -- but the wavelength is the inverse of the frequency. This is called the Law
of Pythagoras.
So if the frequency is one half -- or an octave lower -- a deeper sound by an octave -- that means the wavelength is twice as long.
O.k. pretty simple. But then Pythagoras (actually his name translates as "Snake Master") -- so this is ancient common knowledge -- o.K. so
Pythagoras then discovered that the smaller number ratios are more harmonic. This is called the "consonance coincidence" for those who don't
consider it to be of any importance -- but for Pythagoras it's the secret of alchemy called the Tetrad.
So the Tetrad is the Pyramid as the primary music ratios -- think of ten pebbles in a triangle formation -- 1:2:3:4.
So the ratio 2:3 is when the string is divided at the two-thirds node and then the sound is the Perfect Fifth but it's also a natural harmonic or
natural overtone. In otherwords when one string vibrates it naturally resonates into smaller frequencies at the same time -- called overtones.
You can prove this by silently pressing down a piano key and then a couple octaves higher then strike the key that is a Perfect Fifth higher -- so if
you hold down the key C without making any sound and then a couple or several octaves higher --- several "Cs" higher -- then you strike the note G.
When you strike that G then the lower note C will naturally resonate on its on... like magic.
My ear training teacher showed me this trick about the natural overtone harmonics.
O.K. so if one note or one string vibrates and resonates naturally into the higher harmonics -- when does this stop? Does it just keep going
infinitely? Not according to Western mathematics -- because Western mathematics went against the natural overtones and instead Western mathematics
"compromised" or mistuned the harmonics.
So actually the music harmonics were mis-tuned to create Western mathematics!! That's the real conspiracy.
O.K. so the one string is not really a string because sound or time is not measured -- it's not perceived visually. We listen but there is no end
nor beginning to the listening. So actually the Perfect Fifth ratio as 2:3 then goes into higher overtones mathematically that are divided back into
the octave to make the 12 notes of the music scale.
So you get G as the first perfect fifth and then it's D-A-E-B-F#-c#-G#-D#-A#-E#(F)-C. that's the Western circle of fifths. But it's wrong -- it
goes against the real mathematics because the ratio 2:3 does not divide equally into 1:2 -- so you get 12 fifths and 7 octaves with a small remainder
called the "Comma of Pythagoras." Instead Western harmonics ignores the "comma of Pythagoras."