Pythagoras & The Music of the Spheres
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- Опубликовано: 4 фев 2023
- We continue our exploration of Pythagoreanism by diving into the music of the spheres, and how this idea has influenced thinkers across history.
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Music by Filip Holm
Sources/Recomended Reading:
Cooper, John M. (ed.) (1997). "Plato: Complete Works". Hackett Publishing Company.
Huffman, Carl A. (2008). "Philolaus of Croton: A Commentary on the Fragments and Testimonia with Interprative Essays". Cambridge University Press.
Huffman, Carl A. (ed.) (2017). "A History of Pythagoreanism". Cambridge University Press.
Kirk, G.S., J.E. Raven & M. Schofield (1983). "The Presocratic Philosophers". Second Edition. Cambridge University Press.
Klavan, Spencer A. (2020). "Music in Ancient Greece: Melody, Rhythm and Life". Bloomsbury Academic.
Zhmud, Leonid (2012). "Pythagoras and the Early Pythagoreans". Translated by Kevin Windle & Rosh Ireland. OUP Oxford.
Mistakes:
In the section on Kepler, I state that the Geocentric model had been abandoned at the time. This isn't really true, as it was still the main astronomical theory taught at the universities. Although many scholars, such as Kepler, had begun to accept the Copernican heliocentric alternative.
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Which toy do philosophers purchase for their children?
Playdo. ;)
@@TheWorldTeacher
Is it not probable that the Brahmins were the first legislators of the earth, the first philosophers, the first theologians ? The Greeks, before the time of Pythagoras, travelled into India for instruction.”
~ Voltaire.
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Nearly all the philosophical and mathematical doctrines attributed to Pythagoras are derived from India. ~ Ludwig von Shroeder
@*The World Teacher - Jagadguru Svāmī Vegānanda*
The oldest Greek writers, observes Sir William Jones, allow that their mythologies were not their own invention (As. Res. III. 467) ; and it is now certain that the early divinities and legends of Greece were the same that were possessed by their brethren in India. If Hegel calls the discovery of the common origin of Greek and Sanskrit the discovery of a new world, the same may be said with regard to the common origin of Greek and Sanskrit mythology “ The legends of the Old Testament - Thomas Lumisden Strange.
The oldest Greek writers, observes Sir William Jones, allow that their mythologies were not their own invention (As. Res. III. 467) ; and it is now certain that the early divinities and legends of Greece were the same that were possessed by their brethren in India. If Hegel calls the discovery of the common origin of Greek and Sanskrit the discovery of a new world, the same may be said with regard to the common origin of Greek and Sanskrit mythology “ The legends of the Old Testament - Thomas Lumisden Strange.
Is it not probable that the Brahmins were the first legislators of the earth, the first philosophers, the first theologians ? The Greeks, before the time of Pythagoras, travelled into India for instruction.”
~ Voltaire.
---
Nearly all the philosophical and mathematical doctrines attributed to Pythagoras are derived from India. ~ Ludwig von Shroeder
For me, a key feature of the Music of the Spheres is one not discussed in this video. It’s the notion of living in harmony with the universe. Agrarian cultures depended on reading the seasons to know when to sow and harvest-seasons that are determined by the mathematical timing of the earth in relation to the sun. Extrapolating this human dependence on living in harmony, or in “accord,” with the heavenly bodies, all of human behavior can be regarded as needing to live in harmony with nature. If your life has gone poorly, you were in discord with the music of the spheres; to live well was to live in harmony. The goal of life was to tune your soul properly.
The collective song of earth has thus became discordant and out of tune 😔
I hope to get better at this.
@Allon Vorlete awe. :-( I know. It's so heart breaking.
@@gothicgirlfriend7375 earth is flat. G flat. sometimes can substitute for a C or C sharp.. plato . the planets are electric 😎
Gsus4’s chords should not be underestimated 🍀
"I'm gonna turn and face the music
The music of the spheres
Lift me up, consume my darkness
When the midnight disappears
I will walk out of the darkness
And I'll walk into the light
And I'll sing the song of ages
And the dawn will end the night
I'm a dweller on the threshold
And I'm waiting at the door
And I'm standing in the darkness
I don't want to wait no more"
- Van Morrison, "Dweller on the Threshold"
Nine years ago I received a severe concussion and for months following I could hear everything I would see as if everything was made out of music which I could hear with my eyes rather than my ears. Nothing was solid, everything was a semitransparent energy field of resonance. Every flower, tree, bird, stone or person was as an instrument playing its own song. And nothing was out of tune. Some people were sad songs, some were upbeat, some were death metal, but no one was out of tune. Man-made objects like buildings and roads made music but were monotone, whereas everything in nature was stereo sound. Clothing by itself was monotone, clothing being worn by a person took on their energy and became stereo sound. Mountains, lakes and landscapes would resonate with what I call the Under Hum the sound you can't quite hear, but that you perceive and feel. Like the sensation of being in a live concert where the building vibrates and reverberates except without the audible volume. And everything sang, serenading everything else and combining in perfect harmony to be one all encompassing symphony. I lived with this being my reality in perception and experience for nearly a year. The only way to turn off the music was to seclude myself in a form of sensory deprivation. For most people this concept is philosophical and purely academic. But I take it for granted now, based on these and other experiences, that everything covered in this video is based on some as yet undiscovered or unrealized but nevertheless provable phenomena.
Are you not a musician? That sounds highly inspirational, and if you are, you should explore that concept somehow
@@Francisco_Lopes Thank you. I am not a musician. Although I have an attachment to music. I paint. And this experience has influenced my art.
@@sariahmarier42 synesthesia is so fascinating, i have my share of synesthetic experiences, but none to that degree. Thanks for sharing your own :)
@@Francisco_Lopes Thank you for the kind messages. It's certainly had a deep and abiding impact on the way I perceive and interact with reality. Synesthesia is awesome. It's also really interesting to observe how many different forms and variations of synesthesia there are.
This is fascinating!
Contemporary perfumers still speak of accords and notes, they compose scents and seek harmonies, and their oils are traditionally arranged in tiered rack known as a perfumer’s organ.
Tolkien’s fantasy universe is based upon a pantheon where the gods (Valar) were each representations of a divine song, to make a complicated concept simple. Love to see the overlap
Yes, the Song of Eru Illuvatar.
SKYRIM!!!! *ahem* .... it's also Skyrim's religious set up.
Underrated comment 🥇
That's what you would call a cosmic synchronicity i.e "there's nothing new under the sun"
Reading the Silmarillian cemented my appreciation for Tolkien.. literary genius 💯
Changed my perspective of the world
What they teach you as a kid: Triangles!
What you learn as an adult: Triangles!...and cults!
Music of the spheres; music to my ears!
"Assuming he lived." Love how casual this preface is imbeded. Bravo, bruv!
Pythagoras has certain tuning, called Pythagorean Tuning. It sounds lot like Greek and Turkish music, because well, that's where Pythagoras was from. The tuning difference gives it a much deeper character with more emotion. Meanwhile, the equal temperament tuning sounds very normal and light-hearted. Pythagoras taught many esoteric wisdom traditions, that eventually formed into clubs and fraternities like the freemasons. They tended to be more productive and creative in that sense, which is why they had obsessions with symbols, music, math, industry, science.
As someone who has studied music intensively; we use stretched tuning, or even scale tuning. We adjust every not slightly off so we can change keys without noticing, and that’s probably less than 200 yrs old. We made A4:440hz mid 1800’s, when it varied from 430-444. (Countries could play together). It makes everything more harmonious but makes each individual note sacrifice its interval integrity….its almost metaphorical in a sense. Just wanted to share.
It's important to consider some aspects of how the Music of the Spheres, and its musical implications, are quite misunderstood because of our modern understanding of music. I've been in conversation with many music archaeologists and professors of classics lately, it's been fascinating, and I'm currently writing my dissertation on some of this. The idea of tuning the instrument, specifically the Lyre, is more closely linked to the music of the spheres than harmony between notes is. Harmony itself was entirely monophony (the same notes playing at once), and melody was the prime form of music at the time. Harmony between notes was just not chords as we know it now.
This often leads to people in classical music, or a lot of western music informed by classical music theory, to use "the music of the spheres" as a bit of a buzzword for consonance in harmony, you'll often hear that in reference to Mozart's requiem mass (as it's a strong argument as the peak of Western Classical theory at the time).
It's also important to realise that Plato's view of the Music of the Spheres was fully realised into that spiritual idea of the "Soul of the Whole", so it wasn't as critical as has been viewed in the past. He likened tuning strings to spiritual balance.
It's a bit of a misleading idea that the Pythagorean idea of the Music of the Spheres related at all to music as we know it now, as it wasn't even necessarily considered music, but just single notes, a stacking series of notes.
More simply
Modern harmony = many voices, stacked intervals, creating chords and furthermore chord progressions.
AG harmony = many voices, single intervals, creating melodies.
This distinction allows a much better understanding to the distinct differences between Pythagoras's cosmological theory, Plato's spiritual theory, and Kepler's musical theory, and it's important we know how to draw that line.
Not to mention, there are a few music archaeologists that have transcribed Ancient Greek music, taking a lot of liberties to make it appeal to Western Classical theory, and nowadays when we google and try to hear it, we don't actually get a remotely accurate genre, barring some of the instrumentation.
Some very similar overlaps with Vedic notions of the cosmos and I often wonder whether the imagery of Krishna with his flute is nod to these musical principles of the universe.
In my experience as a musician, a music lover and a spiritual person, two individuals managed more than anybody else to translate the "musica mundana", the universal harmony, into "musica humana" we can all listen and enjoy: J. S. Bach and John Coltrane.
Thanks Filip for another great lecture.
Peace and blessings.
yes they both have that Public Relation story, could change your consciousness, but there were Many more working with this. Both passed through the realm of intillect to arive at Ohm. Coltrane attracted crowds to see his olympic fury of notes when he was with Miles, 20 minute solos of countless notes. Alice aquainted him with Turia Pad (the realm of the sound cuttent). JSBach was a pre science Trinitarian. He helped Temper the scale because it's actually out of tune when made to conform to natural math. Ask any Horn player.
@@jonathanwobesky9507wow
I'd like to add something about harmonic series and overtones. Since timbres are differences in volumes of the fundamental frequency and the overtones over time, you can find sounds that lack certain overtones, meaning their volume is zero. A 50% electric pulse or square wave features only odd overtones and sounds like some woodwind instruments.
Other instruments feature inharmonicity, meaning frequencies that do not align with the harmonic series. Think of a bell. When you strike multiple bells in order to make a chord, you'll get something very different than a chord, for instance, on a piano, so harmonizing bells is harder. Distorted electric guitars (any distorted instrument, for that matter) sound the way they sound because distortion adds inharmonicity. Heavy distortion prevents fuller chords from sounding coherent, so metal guitar players often resort only to the most consonant intervals when making chords (dissonance can be used, but more than two notes at the same time is usually overkill, not counting octaves). Actually, any instrument features inharmonicity to some degree, which helps to give 'em character. Even the frequencies in the harmonic series are actually the peaks of short frequency bands.
As a metal guitar player, the inharmonicity that distortion brings to the table creates tons of problems while trying to play chords that are harmonically demanding. The gain must be turned down significantly for every note to ring through coherently. It's profound, tackling with a problem so ancient
@@joshmastiff1128 I can relate to that. I'm not a heavy metal guitar player, but when switching from a song that has a lot of jazz chords to one that utilizes a lot of power chords can really mess with the ability to make both of those sound good. When you play live, you don't want to be switching back and forth and adjusting too many expressions. A tough part of playing is to get the sound close to the way I want it for each song. It's always a compromise.
@@russellwiitala9733 to be specific, I play in a prog metal, so weird jazz chords are my great friend as well lol. The problem comes when I want to sound heavy but the progression is a mixture of power chords and other weird chords. For the sake of clarity, I sometimes lose the overall 'brutality' in the mix, atleast it sounds better than an incoherent distorted riff salad. Always. A. Compromise.
@@joshmastiff1128 That's because there's something wrong with jazz and progressive metal. It sounds discordant and unmathematical as a whole. In comparison, heavy metal and blues riffs sound coherent and flows together. Prog metal seems to just keep going linearly while other metals tend to repeat eventually some sort of pattern. In other words, Prog metal is like an anti-pattern. Some musicians like that because they are bored. Distorted riffs sound good because they tend to express the emotions of anger and aggression with the correct pausing and intervals.
This video is one of the most beautiful ways to merge into one your interests in religion, mysticism, and music. Also, Kepler also had this theory called the Mysterium Cosmographicum where he uses the Platonic solids to describe the orbits of the planets:
ruclips.net/video/WkIeQzqauo8/видео.html
Thank you! It is a nice coming together of interests, for sure!
Kepler got it a bit wrong, bc he was thinking of the celestial structure as a sort of eternal, unchanging crystal, rather than as a temporally self-organizing system, but he was on the right track;
ruclips.net/video/ZUgOXi0HPYk/видео.html
ruclips.net/video/Qyn64b4LNJ0/видео.html
@@LetsTalkReligion Wonderful video! Absolutely loved it! The way you convey ideas, making them accessible and understandable is a gift. I cannot express what a pleasure and a joy it is to watch your content. Thank you!!
The ubiquitous usage of e^itheta (a point dancing around the surface of a circle/sphere) in quantum mechanics is something that rings relevant to these concepts.
The sound of color and the color of sound. This fascinates me the fact that colors have a specific frequency and the frequency can resonate sound, and vice-versa.
Can you please do a video on the Theology of Xenophanes? I find His conception of God fascinating, and I would like to hear your thoughts
Dammit… 12 years of parochial education (Roman Catholic) four years undergraduate and four years graduate school with a PhD and I didn’t find out until I was well into my 50s that music had anything to do with math by attending a community college voice class! There is so much important stuff that somebody just forgot to cover with us in the classroom. It’s unbelievable! Was my education Really that bad?! I guess it was! Thank God for RUclips, and he’s fine academics that we get to learn from!
There is universal harmony on the mundane level. This is where heart meets intellect.
Can't wait to watch this episode! Pythagoras is one of my favorite ancient philosophical figures.
He is a lot of fun!
Superb work Filip. Learning from you is a delightful experience. Thank you again.
Pythagoras has a Phoenician father and a Greek mother and was born on the island of Samos, he was educated in Beirut, Byblos and Tyre in Lebanon 🙏🏻
In Shakespeare's Pericles - Prince of Tyre, I love the moment King Pericles realizes that what he's hearing which nobody else can hear is Music of The Spheres.
Remarkable work. Explained references and quotes when it was necessary. Spoke understandably and did not overwhelm his audience with PhD level pretentiousness. Very accessible linguistically. Just nailed it, in every way. This is quality, accessible scholarly material. Homeboys is killing it lately. This should be the standard.
Connections theories wisdom…as above so below…thx, another awesome vid❗️
Notable writers who have incorporated some sense of The Music of he Spheres are Shakespeare (see A Midsummer Night's Dream), John Milton in the way God creates the cosmos in Paradise Lost, and of course the world building of JRR Tolkien.
how so? just wondering
More well researched and unique content. Thanks Filip.
I weirdly got into philosophy because of mathematics. So any time I see my hook, Pythagoras, I click. Doubly so if it's a video from Filip.
Always highly appreciate the work you put in sir. Your 'Logical Storytelling' style works wonders for conveying information.
My philosophy professor tried to convince me to leave physics major for that study.. but I doubted myself smh
Wonderful!
Nice work. I spent a lot of time on this topic, and this is an elegant and succinct summary.
CheerLeading Section for the Superiority of the Heliocentric Model!!
♌️😇♌️
Man, I can't stop listening to your music!! Love it on so many levels! It's simple and very precise, the space you give to the notes is very relaxing, you know that's something that me trying to improvise in jazz I'm striving for: Space! I put on while I draw and I have never been more focused!!
The ending was so poetic! I love that!
Interesting to compare the ideas of living in harmony with the music of the universe, the idea of Braman in the vedic texts, and "the way" of taoism.
Its as though many of the ancients were describing the same thing, but in different ways.
Western ears have a real hard time with Eastern music because it often includes quarter pitch (half the "normal") which to Western ears sounds off pitch.
I love this video for the fact that Rumi also mentioned:" Go (forth) from inanimateness into the world of spirits, hearken to the loud noise of the particles of the world." Everything in this word connected to each other and every sage speaks from his heart from different perspectives.
Hello,
Can I just say that the way in which you compose these videos and the language you use. Is so nice, and easy to digest. You are truely a great teacher and sharer of ideas. Thank you so much for making these videos, I have learned a lot and you have lightened some parts of my day. :)
We have been told man only uses one percent of their brains.
Now we understand what the others understand when they use the other 99 percent of their brains.
Thank you for all your lectures.
(You are brilliant.) Musical harmony throughout the centuries and planetary spheres
The Universal Truths.🌌🌠
That's actually a myth. We use all our brains all the time. That percentage usage is just not true.
Also Quantum Physics undermines a harmonic universe.
@@Darkloid21
We may agree to disagree, but thank you. 😊
@@cheri238 No you're just wrong. There is no used part of the brain, period.
@@cheri238 I think the scientific discovery on it was that a human only uses 10% of its brain at any one time
does quantum physics run along a different frequency?
Filip, hi, I was wondering which version of the Epitaph of Seikilos you've put up for the intro, or was it your own production? Would love to know.
Very interesting presentation. Music is everything which came to humans long before language.
What a gift.. it’s all here for us to follow the rhythm 💗
Very informative video. Only a few percent of people know the importance of Johannes Kepler for the topic of "musical harmony" (not only for human ears). You accentuated it very well. Thanks.
This was my favorite episode. So beautiful.
Awesome! This serie is so fascinating!
I watched your older Pythagoras video last night before bed. I have now been awake for ~20 minutes, just opened youtube and the first thing I see is this video, uploaded 3 seconds prior.
Coincidence? Probably. Still neat tho.
Maybe I made it last night just for you?
The Algorithm rules us all. Glory be to The Algorithm and its prophet Susan!
Source works through that which we often see as coincidence.
Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian, Locrian. Seven in one, how beautiful :) xXxXxXx
The man who discovered the musical intervals and scales that the whole world plays today!
The new music in the intro is wonderful
been watching your channel alot lately. best content ive seen on here in years keep it up!
Great video! Have you considered doing a video on Orphism? Would be interesting to hear your thoughts on the whole "dying-and-rising" god archetype from ancient near-eastern religions.
I am not a mathemation but found it extremely interesting.
Everything can be explained thru mathematical models you just need to find it.
I liked calculus mostly.
I find it easier to view thru frequency.
Pythagoras's expression of mathematical concepts is of primal importance to human understanding as a principal to 'work from'. The reason why it might fall down to contemporary thought/notions- is that it was primal with ideas based upon theoretical conjecture known at that time. There is always a gap between theory and practical reality, but in essence , his concepts were underlying principles that are very meaningful to the Human Spirit in understanding. The whole physical universe is a construct of our own imagination collectively, and then how we also perceive this. Our perception can alter , but in essence the meaning is the same? His notion of True ratios and proportions and vibratory tones being the underlying principles of Beauty and Harmonies to the Human Soul. More technological theories and observations may be rationalized as being more accurate, as our perception changes- to be more Soul-less and computer orientated- but 'Music of the Spheres' understanding of vibratory relationships between The Cosmos that speak directly to the Human Soul- has much greater appeal and is more Grounded .
Thank you so much for bringing this information to us. I am following for a long time. Please accept my gratitude.
Different tuning systems is one of the hardest things we covered in music history. I think you did really well explaining the gist without getting too complex for a general viewer.
Loved this! In a similar vein, I'd love to see an overview of Om as the sacred sound.
Any analysis of sanskrit and how it relates to practically every single ancient language is a much-needed addition to our corpus.
It's downright weird how similar heiratic is in both written form and pronunciation to sanskrit and no one anywhere cares. Even a deeper analysis of hebrew and arabic show similarities to eastern languages in ways that modern history teachings don't allow.
*Aum
@@philipm3173 How it's pronounced is not how it's written.
ॐ is exactly two letters.
@@jeffbrownstain it helps westerners t write it as aum because most only pronounce the second half and they rarely hold out the mm either.
@@philipm3173 It helps far more to educate people at a basic level rather than compromising accuracy for ease of access.
Fantastisk! Mera!
This year we could see half a million subscribers... congratulations.
Beautiful presentation. You certainly are a teacher.
This is one of my favourite subjects
Thanks for this!😊
17:20 I clicked on this immediately because I'm attempting to develop a rework/extention of astrology and I've been puzzling over how to figure a mathematical ratio for the distances. It's kind of obvious now but I'll be interested to research this further.
One semantic correction- the Pythagorean scale, now called just temperament, is still sort of in use. As classical musicians, we train to play in just temperament whenever possible, because it has stronger resonance than equal temperament. So technically, you probably hear elements of just temperament quite often, as musicians use it when we can.
Especially, I believe, in choral music.
Also, if you haven't read anything by Joseph Campbell, a professor in the eighties at Stanford University. Please check him out He has great books on " The Power of Myths." Also, he did a series with Bill Moyers on PBS in the 80s on TV before he passed, an 8 part series one can get on RUclips. An amazing mind also. ❤️
I love you included the Seikilos Epitaph in your intro.
Thankyou so much sir!🥰
Thank you very much for this great video 🌹🌹🌹
another solid video... a wide ranging take on an important ancient intellect.
Great stuff
Keep going 👍🏼
The fact that we, "hear" those calculations & that we find them enjoyable - is another layer of complexity.
I'm a little late, but thank you so much for covering more of Pythagorean thought and how it relates to math and music!
Your ability to make concepts digestible is wonderful. I had no idea about any of this. But to me, Pythagoras will always be Pythagore, since I went to school in French. They sound pretty different, so it wasn’t until I saw it written that I realized that Pythagore was this Pythagoras I had heard people mention.
Keep up the great work 👍
To all my fellow music theorists,I direct you to "Harmony",by Walter Piston/Mark DeVoto, specifically the appendices. The Pythagorean comma will make your brain hurt. Guaranteed.
A point of interest,to me anyway,is how the Achaemenid Persian Empire connected Greece to India. Pythagoras,usually considered the father of Western music, quite possibly gained his knowledge from scholars in the East. His ideas,to me,have a distinctly Indian flavor.
Also,all these years later, finally - NASA has made the Music of the Spheres audible
Any thinker that has an -ism named after them is iconic.
"Trumpism" is used tho ...
@@derpfaddesweisen Trump IS iconic, but not in a good way LOL
@@Enaccul haha, Trump isn't a thinker, lol.
Let's Talk Religionism
Beware of all "isms" as they often betray the surce they are name after.
This is excellent. Thanks
I first heard about the "harmony of the spheres" in Arthur Koestler's ~The Sleepwalkers~, which is a wonderful book, particularly if you're interested in the intersection of science, mathematics, and mysticism.
BY default there is no intersection between science and mysticism.
@@Darkloid21 Truth is always consistent with itself.
@@ahobimo732 Not really. Especially not mysticism. Science often proves mysticism wrong
@@Darkloid21 The scientific method has been very successful in developing sophisticated, reliable theories of how the material universe works. But there are questions that the scientific method has not been able to answer. And just like mystics, practitioners of science have made false assumptions over the course of history. The belief that the only valid knowledge is scientific knowledge is a cultural bias. It isn't supported by rational arguments. If the only knowledge you consider valid is scientific knowledge, then your worldview is very limited.
So amazing! I was thinking about how some people who come back from NDE’s, describe seeing plants and flowers vibrating and emanating colors and music.
You hit on a main point that made me stop learning how to read music when I was very young. The problem of the 5th. It made no sense to me, and I had no one explain it to me. I have played by ear now for decades, because of that minor (pun intended) hitch.
Thank You for all the great videos you make. Please make one on the Chishti Sufi Order. Thank You
Great video, thanks!
I love this Logia series very interesting.
The music of the spheres is the different tonalities heard in deep Meditation of the different Spiritual Centers in Chakra Meditation or sometimes Kundalini as consciousness rises from the lower four physical ( the four lions in Revelation) to the upper three Spiritual centers . 😇
Compared to the size of the physical body , the spirit or soul is the size of a pin point so everything is exaggerated.
Like when you're sleeping, the sound of a house fly can sound like a screaming jet ...and may stimulate the brain into a dream of a jet aircraft fly overhead.
Practice Meditation .❤
The Zen "Just sitting" is the easiest ...🍀
you are so brilliant🎼
beautiful. thank you.
Beautiful...
7:45 while all sounds can be considered to have a spectrum of composite frequencies, musical instruments such as strings or woodwind are rather special in having an approximately harmonic spectrum of overtones (integer-multiples of fundamental frequency), as this is hardly the case for all sounds in general. even metallophone instruments (ie bells/chimes) naturally vibrate with an aharmonic spectrum, but the precise shaping of the instrument can be used to influence the most audible overtones and they may be tuned into a more harmonic kind of relation. also funnily enough (5:15), while strings do scale as doubling the length is an octave lower, the fundamental frequency of a hammer would instead scale quadratically with size due to being metallophones
while many kinds of music from around the world do share very similar scales and musical intervals, which can be interpreted through the pythagorean lens of integer ratios, i find it interesting that gamelan ensembles feature scales and harmonic structures which do not fit into this musical framework as easily (if at all), and are also based primarily around metallophone instruments (similar examples found in music from africa as well). so, I wonder to what preference a maker of gamelan ensembles would tune their overtones? is there some other way of ordering and interpreting these harmonic structures if pythagorean music theory does not apply?
I do like the more general idea of interpreting every thing in terms of an abstracted kind of sound. owing to physics and various wave phenomena the idea of spectra does apply very generally, with the integer spectrum being an especially harmonious and pythagorean instance. And while I do think math does have a special importance in existence I am hesitant to think of them as being identified
Thanks a lot for this beautiful and informative video. But I have some suggestions:
1- The story about discovery of harmonic ratios by hearing to sounds of hammers is false by sure: Vincenzo Galilei (father of the famous Galileo Galilei) tried to reconstruct this experiment and found that frequency produced by a hammer is not proportional to the weight of that. This story can not be found in writings of Plato, Aristotle and other writers near to the time of Plato and it seems that it has been invented much later by some neoplatonist such as Iamblichus.
2- Constructing whole (12 note) scale by Pythagorean method has no problem in itself. The problem arised in early 15 century when the first keyboard instruments (like Organ and Harpsichord) where invented: on the keyboard we can only place one key for a semitone between two notes (for example there is only one black key between notes Do and Re). But in Pythagorean tuning Do# and Re(b) are slightly different and equal tempered scale was a practical solution for the problem with these instrument. nowadays using computer programs we can perform most complicated musics in Pythagorean tuning and there would be no harmonic problem.
3- About (so called) quarter-notes: I have showed that "quarter-notes" used in Presian music can obtained by a natural generalization of Pythagorean method for computing musical rations (as it is described in Plto's Timaeus) and it is another confirmation for Pythagorean theory.
(avayejavid.com/wp-content/uploads/2018/11/Plato%E2%80%99s-Timaeus-and-the-Intervals-Used-in-Traditional-Music-of-the-Middle-East-1.pdf)
I would recommend watching "Cymatics by Nigel Stanford" on RUclips. It is a very well made music video demonstrating sound, vibration, frequency, etc.
Canceling the avatar of Pythagoras, who has been given the knowledge directly from the Source and whose mission was to bring it down to the Iron Age of Man and share it in an effort to uplift human existence and bring the human being into the Heroic Age, will always be a solid, direct definition of hubris, no matter how gently, sneaky - witty one does it.
12 months, Zodiac signs, and 12 tones in Western music. 7 days in a week, 7 heavenly spheres visible with the naked eye, and 7 notes in a scale/mode excluding the octave. Their names are Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian, and Locrian. There are 7 of these modes, and they comprise the same cycle of notes. They differ only in the note they start and end on, yet still the starting notes are a part of that cycle. (I hope that made sense).
You can build a basic chord by taking the 1st, 3rd, and 5th note of a given mode by playing them simultaneously. For 90% of pop music today, the order will go as follows: Ionian, Mixolydian, Aeolian, and Lydian. If you play chords derived from those modes in a repeated sequence, you have practically every song on the radio today!
MERCI ❤️
Enfin quelqu un qui en parle🙏
Oui tous les musiciens vont y puiser leur INSPIRATION pour produire des chefs d œuvre capables D INSPIRER les ÊTRES HUMAINS vers la PAIX ET LA FRATERNITÉ 🌞 💜
GRATITUDE À TOUS CES BIEN AIMES 💚 ❤️🙏
BLESSINGS AND LOVE 🌹 FOR your video 💜
Thank you!
What's crazy is that the "spheres" do actually make music. Shifting of tectonic plates that produce frequencies, shot out into space. Sometimes in the form of fast radio bursts from pulsars.
Everybody watching this who doesn’t know about Glenn Branca and his 1st, 2nd, and 3rd symphonies, as well as his philosophies concerning the overtone series and the creation of these works; might be interested in looking him up. I recommend starting with the first movement of his 3rd symphony. If you’re not into orchestral music, fear not, he generally scored for “ rock” instrumentation and was a genuine punk in the best and truest sense of the word, a bad ass, and an underrated genius of the 20th and 21st centuries.
Thanks. Pythagoras is living in our mind for Pythagoras theorem of a right angle triangle and much more. After seeing this video a thought came and that is about statistical sum of SQUARES and its association with geometry is one aspect. Second hammer and harmony has more deeper meanings as one who is hammered sings songs of love and HUMANITY that we all listen. Thanks again.
There's lots of information out there about quantum physics and I take in some of it, understanding very little of it, but it seems that modern physicists subscribe to the notion that there is a need to "put a major emphasis precisely on mathematics and how the relationship between numbers is a significant aspect of the cosmos."
I like to imagine that the legends and stories attributed to the wacky Greek thinkers were partially true. They were just so weird comparatively, the average citizens must have thought they were drunk lazy wizards.
Not far off from modern 'wacky thinkers' tbh.
We just have access to more powerful mind altering chemicals 😑
@@jeffbrownstain yeah.. one of those mind altering chemical did a number on me. Literally shifted my whole world view. I don't think I'll ever do that again but it was definitely something..
@@wonder_platypus8337 Aw don't be like that. You barely scratched the surface 𓂓
@@jeffbrownstain Trust me I did not. And my mental health just can't do that. I objectively have gotten worse since that experience. I value it and wouldn't take it back, but it's fucked me up and acting like taking copious amounts of psychedelics is the solution is just dumb.
@@wonder_platypus8337 First off: take a joke.
Second off, your weak will is not anyone else's problem.
Your failures are your own, and blaming it on psychedelics is pathetic and sad.
Your mind cracked under the pressure of the Truth of reality, that's all there is to it.
That you've only gotten worse in life shows that you obviously never learned anything from the experience, or at the very least you've failed to integrate its lessons on a fundamental level.
For every burnout like you there are a hundred men and woman making reality exactly what they want it to be through the illumination that substance use has given them.
Maybe you should try therapy instead blaming your problems an external sources.
wonderful!
The oldest Greek writers, observes Sir William Jones, allow that their mythologies were not their own invention (As. Res. III. 467) ; and it is now certain that the early divinities and legends of Greece were the same that were possessed by their brethren in India. If Hegel calls the discovery of the common origin of Greek and Sanskrit the discovery of a new world, the same may be said with regard to the common origin of Greek and Sanskrit mythology “ The legends of the Old Testament - Thomas Lumisden Strange.
The Greek/Indian connection,via the Persian Empire,is endlessly captivating to me. Centuries before Alexander,the cross-fertilization was taking place. The later development of "Gandharan" art is the result:statues and artwork of the Buddha done in Hellenic style are a breathtaking result.
@Fretnes Butke
At the mouth of the Indus river dwell a sea faring people, active, ingenious and enterprising as when, ages subsequent to this great movement, these people coast along the shores of Mekran, traverse the mouth of the Persian gulf and again adhering to the sea board of Oman, Hadramant and Yemen, they sail up the Red sea, and again ascending that mighty stream which fertilises a land of wonders found the Kingdom of Egypt, Nubia and Abyssinia. These are the same stock that centuries subsequently to this colonisation, spread the blessings of civilisation over Hellas ( Greece ) and her islands". Edward G Pococke - India In Greece.