Reddit reviews Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology (Wooden Books)

Check out the Quadrivium. It contains a nice breakdown of the theoretical and practical aspects of music and marries these topics with geometry, cosmology, and numerology. Bonus: trippy illustrations.

tl;dr Ball bearings tossed in a bowl will behave exactly pretty much the same. The shape of the magnets may be particularly suited to trap the bearings in a flat plane, but nothing crazy is going on, it's just how numbers and geometry work.

edit: after checking the source video, I see they're resting on a sheet of acrylic, but hopefully the rest of this comment still helps to simplify the topic and make sense of the often misleading conjecture.
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Clap along!

"I didn't do anything fancy to make these balloons take this shape, I just tied them together at the base; they naturally form this shape because they can't overlap with each other." - I linked to that part because it captures the essence of the topic: nothing fancy or mysterious is happening with the ball bearings, geometry is simply how numbers as forces manifest in space.

People who like to mystify these phenomena are missing the forest for the trees. They are right to observe that certain structures are recurring in the universe and that it has everything to do with numbers in space, but I get the impression that many new age types like to anthropomorphize everything and make it about numerology or interpret it as the result of an intentional design... Nope, it's all just cold numbers. Two points make a line regardless of whether anyone is there to witness it or invent a word to describe it.

The structure of the universe simply emerges from the fact that competing forces in 3D space inherently balance out in a way that produces certain shapes.

So yes, in fact these ball bearings are reflecting the fundamental mechanism of the cosmos... but it's a rather straightforward explanation and we've already expanded on it's foundation into entire fields of study like quantum mechanics and chemistry.


Emergence is a key part of understanding everything. Complex forms and behavior emerge from the repetition of simple rules.

Reaction-Diffusion equations (aka Turing patterns) and diffusion-limited aggregation and cellular growth all share similar emergent properties based on randomness, probability, reaching equilibrium, etc.

Others in this thread suggest this is related to cymatics... This is what I mean by missing the forest for the trees. Much like geometry is about the patterns of numbers balanced in space, cymatics is about the patterns that emerge from the inherent harmonic resonance of a medium given its dimensions. They're only related in the sense that the inherent rules of numbers are the basis of all physics and reality.

If a square of metal is vibrated at such a frequency that its wave length divides evenly into the length of the square, then that frequency is said to be a resonant frequency of that material. It's the same at every other harmonic (the colored nodes). In physical terms, this means the nodes of a standing wave are the places where the plate is not moving as is nicely illustrated here. This is why Chladni patterns (LOUD AUDIO!) appear to "snap" into place; the particles only accumulate during standing waves so the frequency has to reach the next harmonic for that to occur.

The patterns are a result of the edge shape of the resonating material because the vibration emanates in ripples from edge to edge to edge until the energy is completely dissipated. The frequency determines the resonant points along the edge, and everything just keeps overlapping harmoniously. This is why liquid cymatics tends to appear more dynamic, essentially representing the reaction-diffusion equations from earlier-- because the medium enables you to see the flux of the harmony patterns that arises from the interfering reflections of the partially cycled waves between resonant points.

In other words, if you travel along the edge of that circle a quarter of the way towards the next resonant point, a wave is hitting that point a quarter of the way through it's cycle, and thus is reflected back out at a quarter offset. And there's one an 8th of the way with an 8th offset, and a 16th, etc, contiguously in all directions. The interaction of these offsets creates a harmony field that appears to move because the medium is constantly renegotiating it's shape between infinitely intersecting phases of waves.
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Here's more cool emergent shit.

Also, /u/Novusod, /u/The_Prize, and /u/Darth_Venath, this comment was partially in response to your exchange. I don't mean to shit on anyone who chooses to emphasize the interconnectedness of everything, but I'm constantly bothered when people taint something simple with unnecessary mysticism.

For everyone who read this whole comment, you should seriously order yourself a copy of Quadrivium! It may indulge in a bit of mysticism, but it's more in the sense of it being an anthology of the history of this knowledge. Pretty much every book they publish is chock full of the beautiful simplicity of the big picture- would highly recommend.

You mean this gallon of milk grandma?
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology (Wooden Books) https://www.amazon.com/dp/0802778135/ref=cm_sw_r_cp_apa_i_XzWQDb18BHEKB

CONT:

The idea of heavenly spheres being an authentic feature of the world is evident in the universality of the idea of the seven planetary (Luna and Sol, the sun and moon, are included in this classical definition of a planet- it's not a "wrong" definition- just a different classification system) heavens throughout the world's cultures. They even tend to be associated with the same days of the week and interrelated in intriguing ways with the musical concept of tuning by fifths.

https://www.patheos.com/blogs/leithart/2012/06/tuned-cosmos/

Moreover, there are very interesting mathematical relations ordering the seven heavenly spheres (and yes, I do believe NASA is real, I am not a flat earther- I am saying that a "symbol" is an intrinsic aspect of the world and that the ancients and medievals understood this) in their classical associations. Luna and Saturn are the first and last of the seven heavenly spheres. Luna has a 29 day cycle. Saturn has a 29 year cycle in its revolution around the sun. The correspondence, day to year, is actually 99.5%. Yes, we've had a closer look at the moon, the sun, and Saturn. So? I don't think that we have discovered anything which would actually undermine the classical world-picture. It's like seeing a picture in 144k vs 4k. We see a great deal more in ultra-HD than we would in old-style SD. We notice lots of new things. But it's perfectly recognizable as what it is. For more on these mathematically ordered relations among the spheres, see this excellent book, especially the last section:

https://www.amazon.com/Quadrivium-Classical-Liberal-Geometry-Cosmology/dp/0802778135

Unfortunately, most of the people talking about the beauty and symbolic craftsmanship in the Heavens are associated with the occult. But the Bible and tradition speak about these subjects. It's not magic. It's part of the world-design God made through the Logos. "The Heavens declare the Glory of God, the skies proclaim the work of His hands. Day to day they pour out speech, night to night they speak knowledge." (Ps. 19:1-2) For more on the reality undergirding classical and medieval cosmology, see Wolfgang Smith's excellent The Wisdom of Ancient Cosmology:

He is a professional physicist and possesses immense philosophical and metaphysical skill. An excellent thinker if you want to rework your conceptual world.

https://www.amazon.com/Wisdom-Ancient-Cosmology-Contemporary-Tradition/dp/6602883925/ref=sr_1_1?keywords=Wisdom+of+Ancient+cosmology&qid=1557417059&s=books&sr=1-1

Not intentionally Masonic books per se, but I recently picked up the Trivium and Quadrivium.

Unfortunately, I've had a lot fall into my lap lately, so I haven't yet been able to dive into them, but I can say that they are beautiful books. Anyone familiar with the FC lecture should understand why they piqued my Masonic interest.

a good book, though not necessarily occult in nature is The Quadrivium.

You guys might like this book:

Quadrivium

Also anything by Cliff Pickover

https://www.amazon.com/gp/product/0802778135?ie=UTF8&camp=1789&creativeASIN=0802778135&linkCode=xm2&tag=worldli-20

-here's an interesting book that's relevant

Hi, I hope your day is going well! Thanks for connecting. Related to these topics, I would recommend the book Quadrivium, an article about the 'Octave of Energy', a collection of experiences by Stan Grof, titled "When the Impossible Happens" , and for online material you can tune into /r/holofractal, which has aggregated lots of material relevant to the quantum nature of reality.

This is the 'dry' approach. A stylistic and heartfelt seed can be sprouted by planting your attention in the gardens of Sufi mystic poetry, or say, by reading the stories of the Vedas and Upanishads.

Stephen Mitchell has done amazing work translating the Tao te Ching and the Bhagavad Gita.


"Deluded by identification with the ego, a person
thinks, 'I am the doer.'"

Krishna; Chapter 3, verse 27

You know what? I just realized I was thinking of this book, which is co-written by the same author. I found a promotional video for the one you posted and it does seem like a good resource for rhythms!

And by "popular", I really meant "popular and folk styles" (i.e. not art/classical idioms).

Yep.

Great book:

http://www.amazon.com/Quadrivium-Classical-Liberal-Geometry-Cosmology/dp/0802778135

If you find that TED talk fascinating then you should check out this book. Everything is laid out in a very simple way.

It is SUPER interesting. And the publisher did a GORGEOUS job of printing it and absolutely the kind of thing this community would like - each of the six sections are printed in different colors of ink.

It is basically a very interesting and enjoyable summary of "The Quadrivium" which forms the basic foundation of knowledge that someone with a good education would have learned in antiquity - the renaissance.

I bought it because I kind of wanted to expand beyond my modern mindset as I continued work on my novel and I really have enjoyed it.

https://www.amazon.com/Quadrivium-Classical-Liberal-Geometry-Cosmology/dp/0802778135/ref=pd_bxgy_14_img_2/143-9757225-2246932?_encoding=UTF8&pd_rd_i=0802778135&pd_rd_r=3efa8e5b-2de1-11e9-9c23-7dae46bfe87d&pd_rd_w=fERSt&pd_rd_wg=chOqa&pf_rd_p=6725dbd6-9917-451d-beba-16af7874e407&pf_rd_r=QDSH5R8ZXEP4MWC6RW87&psc=1&refRID=QDSH5R8ZXEP4MWC6RW87

It's really hard to explain, but basically it's a book with a lot of really cool ideas and patterns found in numbers and nature. It talks about Sacred Geometry and alternative music theory. I like to have it because it's a good table piece and starts conversations. Found it on Amazon, it's called The Quadrivium :)

Q U A D R I V I U M

Thank you! And, Quadrivium is only $17 on Amazon! Quadrivium. Amazon Quadrivium

I got my little brother these two books for Christmas.

Sciencia

Quadrivium

They're pretty awesome at outlining the basic concepts of these kinds of topics, and they are both small, well-bound and very detailed.

It looked like it could be this:

https://www.amazon.com/Quadrivium-Classical-Liberal-Geometry-Cosmology/dp/0802778135/ref=mp_s_a_1_1?adgrpid=54743277103&gclid=Cj0KCQjwvo_qBRDQARIsAE-bsH8K8faPNXHYoPOEA4J9BZ0SaS3LEs6jvN5EMFNBWgwbqTfNT80AQ9IaAhm8EALw_wcB&hvadid=274734433918&hvdev=m&hvlocphy=9005109&hvnetw=g&hvpos=1t1&hvqmt=e&hvrand=18076968320986255187&hvtargid=kwd-297341386281&hydadcr=29919_10734888&keywords=quadrivium+book&qid=1564807527&s=gateway&sr=8-1

If not that, perhaps Trivium, which has a similar appearance.

hey buddy, a couple years ago i took a whole bunch of LSA and then couldnt eat or sleep for 3 days ( lsa in the form of morning glory seeds which i did not properly clean :( ).

during the night into the second day, while i tried to sleep, i went into my minds eye, passing dots that turned to shapes that turned to fractals that turned to galaxies and then constellations. i just kept on going and going and going.

So I put on a Deep Sleep binaural beat, to try and help me sleep. It didn't. It woke me up. or my soul or whatever you'd like to call it (i'm not very good with human words lol)

Every thing came rushing back to me. All those "weird" experiences during a trip. all those "coincidences". everything just seemed to click. the universe started spiraling, or so it felt. it felt like a cosmic or spiritual baton was being passed to me, and then i passed it back to whoever, and then so on until the end of time lol (or whatever. again, bad with words lol).

then i went outside. there was snow on the porch, and i was feeling like a weirdo. so I made a triangle, and made a circle touching the points of the triangle. i then went into the triangle and meditated, and i had the most wild feeling. whether it was in my head or not, i don't know. but it felt like i was doing something i shouldnt be doing. the universe was getting mad or concerned or something lol. (ps i might have gotten inspired somehow by the book "quadrivium" https://www.amazon.com/Quadrivium-Classical-Liberal-Geometry-Cosmology/dp/0802778135 )

I dont exactly remember the thoughts I was having. It was more of this feeling of pure light/energy/whatever the universe is made of.

Before I say more, what exactly is it that you need help with? or is it just a strange feeling and thought process so you're kinda freaking out?

OH yeah the predictions. On the second day, I was with my girlfriend, who was sober, and she started getting annoyed and freaked out because i was saying and doing weird things that had to do with what was going to happen next. whatever that might have been.

I thought I had this prediction that there is this world/universe wide conspiracy meant to keep people/souls in the dark about certain things that would benefit them. and only certain people can notice. or perhaps everyone can, but they're blind for some reason.

but yes to calm down just remember you're human and everything that is going on in your head is a human thing. heavy foods and meat can bring you back down to earth if you're done chilling up there lol

but i may or may not know what im talking about at all. this is all from experience