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How Pythagoras Turned Math Into a Tool for Understanding Reality
ScienceNews ^ | MAY 9, 2023 | Tom Siegfried

Posted on 05/10/2023 1:31:05 PM PDT by nickcarraway

The ‘music of the spheres’ was born from the effort to use numbers to explain the universe

An image of a white half circle at the bottom-center on a starry background. There are 8 arches spreading away from the circle. The Pythagoreans believed that the motions of the heavenly bodies, with just the right ratios of their distances from a central fire, made pleasant music — a concept that evolved into the “music of the spheres.”

If you’ve ever heard the phrase “the music of the spheres,” your first thought probably wasn’t about mathematics.

But in its historical origin, the music of the spheres actually was all about math. In fact, that phrase represents a watershed in the history of math’s relationship with science.

In its earliest forms, as practiced in ancient Egypt and Mesopotamia, math was mainly a practical tool for facilitating human interactions. Math was important for calculating the area of a farmer’s field, for keeping track of workers’ wages, for specifying the right amount of ingredients when making bread or beer. Nobody used math to investigate the nature of physical reality.

Not until ancient Greek philosophers began to seek scientific explanations for natural phenomena (without recourse to myths) did anybody bother to wonder how math would help. And the first of those Greeks to seriously put math to use for that purpose was the mysterious religious cult leader Pythagoras of Samos.

It was Pythagoras who turned math from a mere tool for practical purposes into the key to unlocking the mysteries of the universe. As the historian Geoffrey Lloyd noted, “The Pythagoreans were … the first theorists to have attempted deliberately to give the knowledge of nature a quantitative, mathematical foundation.”

(Excerpt) Read more at sciencenews.org ...


TOPICS: Arts/Photography; Books/Literature; Education
KEYWORDS: godsgravesglyphs; greece; math; philosophy; pythagoras; pythagoreantheorem; samos; theorem

1 posted on 05/10/2023 1:31:05 PM PDT by nickcarraway
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To: SunkenCiv

Not sure if this could apply to your ping list.


2 posted on 05/10/2023 1:31:50 PM PDT by nickcarraway
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To: nickcarraway

If its an effective tool for understanding reality, make it mandatory for every dumbass libtard...


3 posted on 05/10/2023 1:33:09 PM PDT by Common Sense 101
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To: nickcarraway

4 posted on 05/10/2023 1:35:50 PM PDT by CharlesOConnell (CharlesOConnell)
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To: CharlesOConnell
  1. The Comma of Ptolemy plus the Schisma equals the Comma of Pythagoras, and
  2. Pythagorean has purity of fifths, Quarter Comma Meantone has purity of thirds, and Equal Temperament has purity of octaves.


5 posted on 05/10/2023 1:37:52 PM PDT by CharlesOConnell (CharlesOConnell)
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To: CharlesOConnell

Yep, it’s all ratios, and not just melody and harmony. You can express every common harmonic interval as a superposition of simple rhythms (for example, 3 beats per measure over 4 beats per measure is equivalent to a perfect fifth), which are sped up until the oscillations are within the range of human hearing.


6 posted on 05/10/2023 1:54:58 PM PDT by Boogieman
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To: nickcarraway

How Pythagoras Learned From The Egyptians How to Turn Math Into a Tool For Understanding Reality. Opps, they left that part out of the history books ... sorry


7 posted on 05/10/2023 2:06:32 PM PDT by PIF (They came for me and mine ... now its your turn)
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To: PIF

It was all in the library at Alexandria. I think it burned down though.


8 posted on 05/10/2023 2:33:32 PM PDT by BipolarBob (I was going to start procrastinating this year, I just haven't got around to it.)
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To: BipolarBob

Pythagoras studied for years under Egyptian priests in Egypt. The Library is a different matter. It was the Egyptians as far back as the Old Kingdom and likely even pre-dynastic that all of that figured out.

You don’t imagine that the Pyramids at Giza are just random piles of stones with no other significance?


9 posted on 05/10/2023 2:56:52 PM PDT by PIF (They came for me and mine ... now its your turn)
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To: nickcarraway; StayAt HomeMother; Ernest_at_the_Beach; 1ofmanyfree; 21twelve; 24Karet; ...
Thanks nickcarraway. I'm tempted to milk this one for at least one other of the ping lists, but I won't.

10 posted on 05/10/2023 3:07:38 PM PDT by SunkenCiv (NeverTrumpin' -- it's not just for DNC shills anymore -- oh, wait, yeah it is.)
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To: nickcarraway

Mark


11 posted on 05/10/2023 3:13:24 PM PDT by Mariner (War Criminal #18)
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To: nickcarraway

Math is the white Man’s tool to keep blacks down.
But elevate Asians...

Let Pythagoras solve that riddle!


12 posted on 05/10/2023 3:17:06 PM PDT by RedMonqey ("A republic, if you can keep it" Benjamybeyin Franklin.)
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To: Boogieman

Interesting. I had music theory classes back in the 70s and I don’t remember anything like that. Not doubting you, I just don’t remember it being taught.
Did I miss something, or is this relatively new…


13 posted on 05/10/2023 3:43:38 PM PDT by telescope115 (My feet are on the ground, and my head is in the stars. A Man, and proud of it!)
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To: telescope115

The harmonics part I remember. I don’t remember the rhythm part.


14 posted on 05/10/2023 3:45:54 PM PDT by telescope115 (My feet are on the ground, and my head is in the stars. A Man, and proud of it!)
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To: nickcarraway; SunkenCiv

15 posted on 05/11/2023 5:21:28 AM PDT by Red Badger (Homeless veterans camp in the streets while illegal aliens are put up in hotels.....................)
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To: nickcarraway; SunkenCiv

https://www.thecrimson.com/article/2021/10/19/music-of-the-spheres-coldplay-album-review/


16 posted on 05/11/2023 5:21:54 AM PDT by Red Badger (Homeless veterans camp in the streets while illegal aliens are put up in hotels.....................)
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To: telescope115

I don’t think this is anything new, it’s just not usually the focus of any music theory classes, as it is more of an interesting scientific fact and not quite so useful if you are learning composition or trying to analyze music. It’s the kind of thing you learn when you start to get down to the nitty gritty and look at the physical mechanics of music at the level of sounds waves and wave harmonics.

Here’s a page where someone took different rhythms and sped them up until you can hear the intervals they are equivalent to:

https://dantepfer.com/blog/?p=277


17 posted on 05/11/2023 5:54:19 AM PDT by Boogieman
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