Maths vs. Music - Tuning and harmony

[Alex K]

You could probably do a super-simple version of this experiment by covering the lowest string of a guitar with flour, and then strongly plucking it.  I would guess that you'd see a kind of pattern of flour remaining on the string after some of the dust got thrown off, and that those points with the least dust would be even divisions of the string: the exact middle (i.e. the octave point) which would be vibrating a lot, then the third and 2/3rd points, then the 1/4 and 3/4.  Not sure if this would actually work, due to finger oils on the strings etc., but you can understand the idea I think.

There's this famous experiment with fire

https://www.youtube.com/watch?v=HpovwbPGEoo

and a nice explanation for the experiment as well as a 2D version

https://www.youtube.com/watch?v=2awbKQ2DLRE

[Arkilogue]

Looks deeper before you realize that you don't end up in the same place after going round once if you use pure intervals due to the pythagorean comma. A pity, really

It has it's own beauty...

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If for some reason the way they are set is the *only* way they can possibly be, the question becomes - why are we so lucky that the only way the universe can be is such that there is matter, and chemistry, and stars?

Conceptually, the latter is even more problematic than the former if you ask me...

Why would we be "lucky"? Wouldn't we be inevitable?

I found an easy conceptual segway in white light as an aprox to the unified state before inflation. No matter where you bend the light apart you get the same colors in the same distribution, in the same order.

All the unvierses are "pulled" out of the same stuff....with the same inherent forces/qualities.

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Here's something to blow your minds: The quantum wave functions with sharp energy/angular momentum



And yes, the energies have integer ratios, so you would get harmonic chords out of them if you played them in superposition
Also, I'm sure they look like something someone once drew in their Ashram.

I hope I haven't burnt Arkies fuse with that

Stable electron "orbits"? Yep, seen those too. Interesting that they are hemispherical and confined to toroidal, balloon and bowl shaped clouds.

[Alex K]

It has it's own beauty...

Wait... Do the lenghs of the radial lines in this picture correspond to anything??? And why does the first G have a much lower frequency given? It's not even an octave down from the actual frequency. Oh and the angles?
Looks completely made up

[bennyboy]

It has it's own beauty...

Wait... Do the lenghs of the radial lines in this picture correspond to anything??? And why does the first G have a much lower frequency given? It's not even an octave down from the actual frequency. Oh and the angles?
Looks completely made up

Apparently, he's interested in the relationship between music and metric paper sizes?



But I think it's more likely, since he's into this sort of numerology, that he's interested in the Golden Ratio, Phi = 1.61803398875, true for a number pair when :



To be fair, this IS the kind of thing that modern musicians take seriously: songs have been written using the Golden Ratio to divide parts.

HOWEVER, given C= 252hz, I'd expect a note at 252*1.6180339887498948482 = about 408 Hz. There is clearly no such value in the chart, though the erroneous "G" looks like it could be a true perfect 5th: 252*1.5 = 378Hz. It currently escapes me why someone would use a Golden Ratio diagram to represent the cycle of 5ths, with numbers that match neither. Pretty picture, though.

[bennyboy]

Woah, dude! In trying to arrive at a reasonable note for G, I started with A and multipled by 4/3 to get D, then again to get G (though I had to divide by 2 to normalize octaves, but we can ignore that). But do you know what that means? I multiplied by 16/9, the ratio of a standard computer monitor!

That means that my computer is the spatial representation of a whole tone, which means modern technology has been inspired by Claude Debussy, who often used whole-tone scales in his music, which proves that he must have been a member of the Illuminati which have been behind the "advances" in science since ancient Egypt. . . cuz guess what ratio we can find in the construction of the greatest of the Great Pyramids?!

EVERYTHING is CONNECTED to the charts and diagrams Arkilogue has been patiently revealing to us.


Mind *blown*

[Little lunch]

I'm going to go off track here a little.
I was looking at that chart with the colours corresponding to musical notes and was thinking, 'what about all the notes in between.'
The ones that middle eastern music plays like the notes between G and A flat, etc.
Then I remembered that there are infinite numbers between 1 and 2.
Are there infinite notes between G and A flat?
Can one note transcend or descend to another forever?

[Alex K]

I'm going to go off track here a little.
I was looking at that chart with the colours corresponding to musical notes and was thinking, 'what about all the notes in between.'
The ones that middle eastern music plays like the notes between G and A flat, etc.
Then I remembered that there are infinite numbers between 1 and 2.
Are there infinite notes between G and A flat?
Can one note transcend or descend to another forever?

Yes. If you play the function

sin(2 pi * 440*(1+e^-t)*t)

as a sound (where t is in seconds), you get a note that quickly decends from a'' towards a' in a continuous fashion without ever reaching it. I might put it as a mp3 later l. Whether you call all that stuff "notes" is, I suppose, convention.

[LostLocke]

I see someone veered off into the "magic 432 hertz pitched A".
Not too different from what another poster on this forum likes to do....

[Thumpalumpacus]

I'm going to go off track here a little.
I was looking at that chart with the colours corresponding to musical notes and was thinking, 'what about all the notes in between.'
The ones that middle eastern music plays like the notes between G and A flat, etc.
Then I remembered that there are infinite numbers between 1 and 2.
Are there infinite notes between G and A flat?
Can one note transcend or descend to another forever?

Yes. If you play the function

sin(2 pi * 440*(1+e^-t)*t)

as a sound (where t is in seconds), you get a note that quickly decends from a'' towards a' in a continuous fashion without ever reaching it. I might put it as a mp3 later l. Whether you call all that stuff "notes" is, I suppose, convention.

Oh, they're notes. They're just not notes which have been assigned their own name in the nomenclature.

[Alex K]

I see someone veered off into the "magic 432 hertz pitched A".
Not too different from what another poster on this forum likes to do....

Oooh isn't there a pseudoscience esoteric woo about using that frequency? I've seen music on YT changed to 432, but I don't know the mythology.