Is this related? (Sound, math, ancient ancestors?

The Mathematical day started well with me investigating the area of my breakfast toast as the difference of two squares:

Toast Problem.jpg


Surely bread should be square to fit efficiently on the plate? It would cut into cucumber sandwich triangles better too... 😎

A pleasant night at the Southsea Cinema too, A surprise film called "3000 Years of Living".

https://southseacinema.savoysystems.co.uk/SouthseaCinema.dll/

On leaving we were greeted by this spectacular sight of Venus and the New Moon. Everyone enjoyed it.

Naturally I explained the salient features of this natural wonder, which nobody was able to identify correctly.

Venus and Moon.jpg


It has been a good month for Astronomy. Mercury, Jupiter and Mars too. The rising Spring ecliptic has made planet spotting easy. 🙂
 
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.I dunno. 🤓
 

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I have been further pondering the Hypothesis posed by the OP:

Is this related? (Sound, math, ancient ancestors?​


I am troubled by the lack of a closing parenthesis, which suggests an unbounded problem or unrigourous thinking.

Is this related? (Sound, math, ancient ancestors?)​


I would pose the question more precisely to make better progress. As above. 😎

In loudspeaker design, it is well to understand the Hilbert Transform to make good progress:

https://en.wikipedia.org/wiki/Hilbert_transform

David Hilbert is one of my top Mathematical heroes, and quite likely an ancient ancestor of mine.

He beat Albert Einstein to a precise formulation of General Relativity, but nobly and modestly conceded the fame to Einstein, since Einstein had the original idea and had presented some early ideas in a lecture which Hilbert attended..

David Hilbert.jpg


As he remarked, any competent undergraduate at his Gottingen University could have done the Math that Einstein so struggled with!

Hilbert's insight (loosely speaking...) was that once the Frequency Response in a loudspeaker is defined or measured, the Phase and Group Delay can be calculated by simple calculus in the Complex Plane.

I don't know why people find this difficult. To wit, the endless squabbling and debate in the Multi-Way forum:

https://www.diyaudio.com/community/forums/multi-way.6/

Seems to go on forever. 🙁
 
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I dunno. 🤓

Your first image claims that, in ancient times, 432 Hz was the frequency of the "sacred" note A, whereas today's standard concert pitch A of 440Hz is "artificial".

Have we forgotten the wisdom of our ancestors? Heck no! The Reuters Fact Check team has determined there is no documented evidence that ancient cultures tuned their music to A = 432Hz.

There's all sorts of nonsense out there about 432 Hz being "the beat of the universe", having "substantial healing benefits" and providing "positive energy".

It's all just a load of bunkum, as is the idea that 432 Hz is the frequency of the heart / brain / earth / sun / water.

https://ask.audio/articles/music-theory-432-hz-tuning-separating-fact-from-fiction
 
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Most of the time it is due to bad professors at school or that wrote to little on the black board for the genious seated in the last raw near the radiator could understand while he clearly already understood about thermodynamic laws !

in my case it was an Analysis class (step up from Calculus), a Russian professor with a VERY thick and opaque accent and a text book poorly translated from Russian. I negitiated a passing mark (this one clas sdragged my avaerage over four years to just under an A..

dave
 
There's all sorts of nonsense out there about 432 Hz being "the beat of the universe", having "substantial healing benefits" and providing "positive energy".

It's all just a load of bunkum, as is the idea that 432 Hz is the frequency of the heart / brain / earth / sun / water.

Again, Law of Fives, just as significant as 42 and my favorite 23. Both buried in 432.

dave
 
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i f you wanna chase electricity and phase angles …. A compass, clock or time/earth spins/etc (12 x 2160 is 25930 years)

90,180,270 ? Unwrapped phase as seen in horn response, etc?

fixing the 3/4(9,15,21,27,33,…)res in a 1/4 pipe .. ?


you run into these numbers .
 

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