The Golden Ratio and Fibonacci in Music (feat. Be Smart)

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The golden ratio is the irrational number Phi. We see it everywhere in the world around us. But, did you know that you can also hear it in your favorite music?
Since the beginning of time Phi-also known as the golden ratio-has inspired the world around us. Have you ever noticed how some pieces of music just seem to make sense? From the notes and chords to the phrasing and dynamics, they can all feel like they were meant to go together. Many people believe this is not a coincidence but the golden ratio in action. Hosts Nahre and LA explore this phenomenon and create their own composition inspired by the golden ratio.
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We like music. You like music. Let’s break it down. Sound Field is a PBS Digital Studios web series produced by Rewire.org. #SoundFieldPBS #Rewire #PBSDigitalStudios joe hanson nahre sol béla bartók la buckner It's Okay To Be Smart

[@ManjunathBC]

Thanks a lot guys. I am the guy doing konnakol from 5.53. It means a lot to be featured here. 🙏

[@SoundFieldPBS]

Your work is so inspiring to us! Thanks for letting us feature a part of your piece in this video. Everyone should check out your amazing music.

[@ManjunathBC]

Thank you sound field it means a lot 😊

[@DMelloooo]

Bahut khushi Hui!!!!! Amazing musician!

[@roperior]

I didn't read every reply, but BT (Brian Transeau) made a track called 1.618, which is a song in his album which I assume is a tribute to nature and science, titled This Binary Universe. Worth a listen!!!

[@Meenabeena64]

Manjunath B.C That was AMAZING!!!👏🏾👏🏾👏🏾

[@besmart]

It was great working on this video with you guys! Sound Field is awesome (but anyone reading this already knows that 🤓)

[@SoundFieldPBS]

Thanks for the help Joe! Can't wait until you make a video on the golden ratio...

[@NahreSol]

It was so cool to collaborate like this, thank you Joe!

[@beethovensg]

That is inherent! I tune pianos and have some knowledge of quantum physics and mathematics. It is now becoming vividly clear as to the meaning of the music of the spheres. The cyclical nature of vibrating fields of energy are always transmuted based on geometric harmonics. Sound becomes light. As above ,so below.

[@steveheuser7382]

Oh boy I have waited so long to hear this. Now revolve the cord and and add the sub melody it will be like a fractal image. In music. The real brainwave of the new human. Where can I get the (album) And play it for my garden

[@steveheuser7382]

beethovensg yes the rosacrutions knew that sound makes light. The Hopi beetle people played a flute and heated stones red hot But o like this bit for its Brian wave entertainment ability’s It’s a fractal. Can’t wait for more

[@CarlDoesMusic]

"People used to think of limitations and boundaries as negative words, however, when you are creative and you have so many ideas coming to you, you kinda need those walls to create within" -LA

[@blackdiamond4001]

Yoooo!!! I read this quote just as he said it.

[@lad4694]

I read this exactly when he said it !!!!

[@antwoneaustin7483]

Had to rewind that. Definitely a profound statement.

[@TheSharonHarman]

I also read it at the point when he actually said it!! Crazy

[@Joskemom]

I totally agree because it helps you make a decision and not wander aimlessly looking for the 'perfect result'.

[@sheilatrunzo4423]

Two enthusiastic and mutually supportive artists explaining the Golden Ratio in music ... well, so much fun. Thanks so much for putting this out to the world.

[@3LLT33]

"Evaporate it" is such a perfect way to describe that.

[@pilotgfx]

i can relate so well to that producing trance, i like to "evaporate" my leads with reverb and filters :D

[@iainmackenzieUK]

... and also the way she motioned it with her fingers... :)

[@Phantomagix]

The music she wrote feels so natural, I immediately got the feeling I've heard it before even tho I havent. Anyone else got that feeling?

[@iangault3998]

The phi moment sequence reminds me of the walking dead theme tune...

[@sialatorah]

Me.

[@henryhambardzumyan8102]

how can we get this song?

[@marekvodicka]

Yes, well it sounds pretty inlfuenced by "minimalism" which is what a lot of composers gravitate towards nowadays, perhaps because it somehow aligns with the Zeitgeist of our time and our current scientific knowledge and philosophical paradigms that we all (sub)consciously live in? Similar to like classicism must have felt natural to composers in the 18th-early 19th century? That might be why certain composing styles become popular or "dominant" in a certain era... just my thoughts.

[@tryhonesty4094]

mv022 good thoughts!

[@SaronJoy]

Having been a quantum physics major and currently a singer songwriter, I found this very enlightening. It's almost as if you can glean something of an individuals SPIRIT by seeing/hearing where and how they compose/play/sing. I feel in love with the black keys when I was little, my singing always a little off in the rightest way. By figuring out your natural inclination/ pattern you can figure out what type of flower you are in the world.🌼🌹🌸🌷

[@candicewitzkoske3155]

Saron Williams My cat had kittens and one now about 8 moths has the “phi” on his back. How unusual is that!

[@billsadler3]

The "Tao of Physics" by F Capra is already on your bookshelf I hope?

[@SaronJoy]

@@candicewitzkoske3155 I'M SORRY I'M JUST SEEING THIS. HOW AMAZING IS THAT KITTY! Did you keep him?

[@SaronJoy]

@@billsadler3 Omgosh! I started reading that book when I was on vacation several years ago. My friend was interested, so I left it with her, with plans to get another one. Thanks for the reminder hun!😄

[@VantageCollective]

@@billsadler3 I've read the Tao of Pooh like 5 times, looks like I found my next book ^_^

[@barneycoffman6663]

While she intentionally used the Fibonacci Sequence in her musical composition, I'm not so sure that the other composers mentioned, really knew what they had done. It seems to me that it is an innate ability of our senses to the rhythmic perfection of the Fibonacci Sequence and that is why we appreciate and relax within the harmony we feel when we hear it. This video made me reflect on several musical pieces that I have been drawn to and why. When I listen to music whether it be classical to rock, before a note is even played, I know the sound of that note, the tempo of that note, and the perfection of that note. It's in the synchronicity of humanity and the universe.

[@VantageCollective]

To me, the perfect energetic tempo in music to connect to is 144bpm(or 72bpm), is a fib number and where most peoples heart rate lies when they are doing physical activities (dancing)

[@TheSonofHephaestus]

This video is 618 seconds long and that is amazing planning.

[@danfield6030]

Its 10:19 minutes long though...

[@rozygcf6611]

@@danfield6030 yes, and 10x60 = 600 + 18 = 618 seconds

[@Bbslue7]

They are showing us how to make music, it’s incredible.

[@toomiscalbi4412]

Omg the phi moment on Nahre's was amazing

[@SoundFieldPBS]

After editing that moment for literally hours, I was really starting wonder if it was worth it.

[@musiki2534]

6:17

[@NahreSol]

😀

[@NahreSol]

@@SoundFieldPBS 😂

[@toasttghost]

@@NahreSol that piece was stunning thank you for enriching my life 🙂👍

[@iainmackenzieUK]

I am 60 next month and feeling such excitement that the world has young people like you in it and will have (God willing) for many years to come. You bring such a joy in your music but most of all, in the smiles I see you sharing with one another :) Thank yooooo :)

[@ericwilliams3382]

Well said, I agree.

[@theinsectmanofwv]

Galileo said, “Mathematics is the language in which God has written the universe.”

[@fantasyteamshorts6112]

I just wish they have a better computer that can run Chrome without using up memory...

[@accuser_of_the_brethren7816]

Is 2020 the year we finally upgrade from windows x?

[@sorrychangedmyusername3594]

B to the rian Y to the u-n-G well we get the corona virus.

[@bigstonez]

Mathematics is everywhere. Look at Tesla (Nikola Tesla not the company) and his teachings of energy frequency and vibration

[@theinsectmanofwv]

@@bigstonez Yes, math is in ALL created things and is a major part of human engineered things.

[@spicecrop]

I'm way into this mentality. I was explaining the golden mean to a friend of mine. And showing him how it's in nature. He didn't seem to be very interested. But later was asking me more about it. As I showed him the spiral pattern in his Sunflowers. The possibility with music is endless. Like the Mandelbrot Set. Which is based on the Fibonacci sequence.

[@enemywithin1992]

I was expecting some Tool here

[@SoundFieldPBS]

We are just beyond expectations!

[@enemywithin1992]

@@SoundFieldPBS Oh, you definitely are! You guys are awesome

[@zvijezdica5200]

I was looking for this comment :D

[@rich1051414]

Tool was probably the most popular blatant example too :P

[@alrobley9]

... Spiral out Keep going Spiral out Keep going Spiral out

[@googlethis313]

I’m 1.618034 % sure this is my new favorite episode.

[@rockdog2584]

Have yourself a piece of Phi...with ice cream.

[@Kathybuglove]

that's not very sure

[@bigdripnik7062]

The piano song was beautiful

[@AmandaKaymusic]

Sweet composition Nahre. Love the colours you paint with musically and numerically.

[@NahreSol]

Thank you!!!

[@MrAmyhutto]

"by the way, this is the phi moment of this video" hilarious! and you are all mindblowing, thank you!

[@holdtrue2021]

@9:40😂

[@jimkata77]

Agreed. The Phi moment of this video @ 6:17 sounds like this piece by Mannheim Steamoller from 0:28 to 0:33 and then a quick skip to 1:22 to the end. kzbin.info/www/bejne/fKOrnX9uoJyiq6c I only know this because I'm a huge Mannheim Steamroller fan, especially their second christmas album which this song is from.

[@stephanieswartz]

I really appreciate the discussion on limitations and boundaries in a creative space. It is very freeing to have a structure to create within, and conversely, lacking that can feel overwhelming.

[@labbeaj]

1 - "Black" 1 - "Then" 2 - "White are" 3 - "All I see" 5 - "In My Infancy" 8 - "Red and yellow then came to be" 5 - "Reaching out to me" 3 - "Let's me see" Tool

[@bahaahassan5199]

What I came here to see

[@therevelistmovement4683]

Am not.

[@labbeaj]

@@therevelistmovement4683 Am not what?

[@therevelistmovement4683]

@@labbeaj a tool.

[@labbeaj]

@@therevelistmovement4683 😅

[@Mappycastro]

New favorite trick. Forwarding to the 0.618 section of a song and embracing the golden moment!

[@HelgeMoulding]

Math in music I mean, it's there by definition, right? Octaves are doublings of frequency. We divide a piece into measures with so many beats per measure. Equal temperament 12-tone scales use the square root of 12... Bach used math to quickly improvise - just about all of his pieces are simple themes where he used basic math rules to create variations on the fly. If he lived today he'd be a hiphop DJ, going to raves every evening to make a living. Back then he went to court with his fiddle. He did write a lot of his music down, but he didn't value what he wrote down because what mattered was the math he used to create the music. There's a famous story where he used a sheet of music to wrap a fish... Heck y'all should do an ep on Bach's math. ^_^

[@HotelPapa100]

One interesting point about that square root of 12: As you rightly say: only equal temperament scales. Pure intervals are always rational.

[@gasparddelanuit9809]

*It's twelfth of root of two.

[@traviscarver4708]

Newbie Failmaster Exactly. I studied classical guitar at university and the idea Bach would go to raves is so ridiculous. Learning Bach, listening to Bach and studying classically leads me to believe Bach would not only stay away from raves but he would look down on it because it is beneath being considered music or art.

[@brocowsci]

Everything is mathematics though, we are just condensed vibrations

[@Shericams]

I think that without even counting at all some musicians intuitively anticipate and apply the number sequences and ruthyms and tones are less thought or calculated . I believe the most talent lies within someone who is both capable of the intuitive and the deliberate .

[@dr.deadworth]

Lateralus, by TOOL is my favorite math metal song because they purposely used the Fibonacci Sequence to write it. I'm obsessed with the Golden Ratio.

[@katieb2098]

They didn't purposely use it . Maynard said it was a complete accident look up his interview about it ..

[@dr.deadworth]

@@katieb2098 no fuckingway! are you serious?! That's even BETTER! I'll go look for an interview about it right now.

[@bencekota7089]

Okay! As a Hungarian I never expected Bartók to be mentioned in such matters! Thank you so much for sharing! I definetly learned something new today!

[@clair_high]

With only 4 episodes, Sound Field is rapidly rising to the top of my list of favourites. Each episode had been fantastic. 🎶🖤🎵

[@SoundFieldPBS]

Thank you for watching!!

[@6stringstorulethemall967]

What??? Qualified musicians speaking about music???

[@TheSimonScowl]

Everyone is qualified to speak about music (just not theory). Music has 2 equally important ingredients: the intellect... and the intuition. The former is what scares people away from music. The latter can make music without instruments or training (though it might not be 'listenable' to the trained ear).

[@atheistonavmax7873]

The mix of science, numbers, nature, music, and the chemistry between people earned my subscription to this channel right this moment!!

[@abbarue]

This was incredibly interesting! Never thought about it in a musical context. Brilliant! You are both very talented!

[@movin3148]

Those arpeggios sound really disordered but also have some sort of order that u can expect the next note of the melody. Hence I think why the golden ratio is so important is has just the right amount of order and disorder to make things beautiful. Really want to hear a modular synthesis version of those arpeggios!!

[@richardhogans7961]

The strange arpeggio thing (pardon my naïevité of music lingo) is also very much her style. Check out her channel! She's incroyable!

[@RobertSaxy]

Loved and seriously impressed by the piece you wrote and the phi knowledge thru the lense of Music

[@lim7lim]

Just landed on this video after looking up the Fibonacci spiral. LOVED IT. Subscribed. Looking forward to checking out the rest of your stuff.

[@trentp151]

I think the golden ratio can be applied not only to music, but art, thought forms (for example expansion of a business model), word forms (like oratory/language skills), automotive design, architecture, engineering, and computer code, just to name a few. Great video!

[@RichardASalisbury1]

As a huge fan of Bartok, I already knew about the "phi" moment in the gigantic fugue that is movement 1 in "Music for Strings, Percussion, and Celesta," and how the measures leading up to that (and following it as well, if I recall) can be plausible divided into lengths corresponding to numbers in the Fibonacci sequence. But I did not know about the similar division in the solo xylophone[?] taps that begin a later movement. And I was very taken with Nahre's brief piece. As a novice composer I've been given more food for thought. Good job, guys. I'm subscribing.

[@RenatoAkira18]

10:00 they did surgery on a grape

[@brocowsci]

Lmfao

[@Adam-id1th]

Or just fans of Diana Krall :)

[@MrBrianms]

Yes, I agree. The music piece you arrived at sounds fantastic too.

[@IAMREIKI]

When I smile playing the Bass guitar and lovingly fret the notes while being grateful I Feel more love n Light .

[@frenetics8425]

Gotta love you two! You have such a nice vibe together, it elevates the content even more!

[@katentropy]

I love the composition. It feels good, balanced, stimulating, confident!

[@JDsgreatz28]

Black then white are all I see in my infancy Red and yellow then came to be, reaching out to me Lets me see

[@Manas-co8wl]

Hey Wow Cool find Really tho Mind if I join in? Because I want to know the truth Why would something like this dominate our human brains? To be honest I don't like the idea of beauty constrained to a simple math I prefer beauty to be free of such fixed numbers It seems a tad draconian Bit ironic, eh? I'm sorry Well then Yeah Bye

[@Manas-co8wl]

:(

[@otarthemad7565]

Tool

[@aarondiamond104]

Captain Deadpool hellya

[@timboot5412]

@@Manas-co8wl Is Idea two syllables?

[@margotillotson5809]

This was such a great find. I felt so connected to your energies throughout the entire video and I was able to make some really strong connections between Astrology + the Golden Ratio. The planetary ruler of your rising sign is the energy that rules your entire chart; the way you view the world. As a Capricorn rising, ruled by Saturn--the planet of limitations and restrictions, I have a newfound love and understanding for boundaries and limitations. This is powerful. Thank you

[@ladykoiwolfe]

I think the Fibonacci sequence is very cool and the music you made using it was beautiful. The composer you played early on seemed to have mastered it, his work was ethereal.

[@susanmazzanti5643]

I like learning and I love music so this is great. Now I understand why some pieces just feel right even if it's a type music that is less interesting most of the time.

[@shaolingangster]

Nahre's genius becomes more apparent with every piece she writes. The Divine Keys?! C'mon, man! That's some Ravel level sheeee.

[@bluebutterfly5303]

I found you today. What an absolute gift. I've always been a fibonacci junkie so this makes my heart sing. Thank you. x

[@laddiecurtis-samuels2344]

Love the video! I'm having my son write a report of this for his band class. Thank you!

[@ViktoriousFlutes]

We were just talking about the Golden Ratio in one of my music theory classes! :O

[@OngoingDiscovery]

You two have such great chemistry, you're a pleasure to watch.

[@holdtrue2021]

Ongoing Discovery 🎯💯☺

[@cindystechschulte2084]

I notice it in nature everywhere. I hadnot thought of it with regards to sound. Although while studying flamenco in Spain there was a bird that lived in my courtyard who chirped out very flamenco ish rhythms. Amazing. Mesmerizing.

[@bluhenriquez8853]

Wow. Eye opening when its explained thru live piano & explanations. Ty

[@andresymedio625]

loved this,, thanks "it's okay to be smart" for bringing me here!

[@bernardfinucane2061]

Great point about limitations being a good thing when you are trying to be creative.

[@trillwolff]

This entire video was such a pleasant experience. Ultimately lovely, great job.

[@lillyleflur2061]

Thank you, I learned so much. The composition is fantastically beautiful!!

[@frenchef7]

That piece Nahre wrote is so cool. When it switched, I went like WOW

[@Xenro66]

Already hooked. Thanks, Matt, and everyone else from PBS Space Time! Edit: Missed a few letters.

[@lenulenu7747]

Superba piesa, muzica, text de suflet....unica interpretare... Felicitari! Daniel Luca! Succes deplin, in creatie poetica, artistica si interpretare! Multumiri! 💐 Paste Binecuvantat, Fericit!🙏💐

[@djbis]

I felt the Phi she created. Great work. So talented.

[@jaizentorres4926]

'Golden' you guys. As a lover of Math and Art this was an immense joy to discover

[@mattykeys]

Would love to hear Nahre’s piece in full

[@SoundFieldPBS]

You can download all of our original songs at our SoundCloud

[@bernardianfaune5545]

What Title ??? Reply ASAP

[@zigzagnini09]

@@SoundFieldPBS how can I find this

[@andresvillegassilva5990]

@@SoundFieldPBS Whereeee?? I NEED it hahah, it's splendid

[@EM-vy9ik]

It’s on SoundCloud on Sound Field’s page and the title is “The Divine Keys”

[@mkivy]

Thank u...as a musician and writer I know the ebb and flow of creativity...it’s not the song that’s difficult it’s how notes fit that is hard....u guys are brilliant and this ole man thanks u...kudos to u all!

[@eurometrixproductions7]

You guys seem like so much fun! Thanks for the great video!

[@hermitkryb]

I've been thinking heavily on this topic lately, nice to see a video on it

[@LongshotRecordsTV]

She is awesome! Very talented.

[@GuitarGearGyan]

I am here because of It's Okay To Be Smart & now am here to stay. Awesome stuff....... Going to incorporate the golden ratio for my next album...... Calculator is now as important as my MIDI keyboard.

[@Migsmikes]

I LOVE THIS STUFF! On a spiritual level that transcends our current states and blends it with science! God bless you all!

[@statikverse]

Seeing the direction this channel is going, I'm impressed. I imagine sometime in the future you'd be doing episodes on genres and phenomenons around the world like comparing South Africa's Hip Hop origins with Kwaito vs US's Hip Hop Origins, and India's precise percussion and tones. This finna be litty. Thank You for this. Hope to somehow someway contribute to this amazing channel. PS: I'm about to initiate a challenge to my fellow musicians and friends to make an EP based on the Golden Ratio.

[@SarahMike147]

Lol. I was already on it. I want my lyrics to follow it as well. Its a lot of fun

[@statikverse]

@@SarahMike147 the most enticing thing about this challenge for me is having the whole EP some how follow a sequence derived from the Fibonacci. I gotta say though this is fun as hell.

[@FeonaLeeJones]

I definitely believe that some of the best music out there uses the golden mean. I have not mathematically calculated my compositions but I always keep in mind my Structure and create space for the climactic moment about 3/4 of the way in then piece.

[@briarz101]

I've heard of that golden ratio and phi, have trouble grasping it...but get it much better. Well explained

[@NDVirgilio]

This is a wonderful video and I love the way everything was explained. Thank you!

[@joechip1232]

I noticed the golden ratio for the first time today... in Nahre's piece :P Can't wait for that album!!!

[@NahreSol]

😊🙌

[@TeaKupful]

This is truly one of the best videos I have ever seen on so many levels. I love your collaborative composition!!

[@erinnelson434]

I am in awe of the amazing talent in these lovely people! I'm going to go create something now. Thank you for the motivating inspiration. ❤

[@jackieedwards-henry8315]

My mind is officially blown! This is fabulous!! Thank you ❤️

[@jamesd6785]

Wow...on reflection, that piano music sounds super with the golden ratio. You've given me much to think about. Also, great video!

[@thePeterpumpkin68]

Brilliant, well done. Keep them coming.

[@Alfdehombre]

I love how these sacred number sequence is expressed in 3D space and with sequence to allow time. Awesome too how various artists use it, I also refer to this - specially when I get a bit stuck creatively =]

[@johnwalker4642]

Well done. As we listen further to "ancient" music that emerged from the forests, deserts, oceanic communities, I become increasingly curious as to how the communal Fibonacci experience is expressed, polyphonic singing of the Bayaka in Central Africa Republic , for instance, may well not be separated from the natural environment and is a direct expression of the primary relationship of the random and well organized development of Life. The "live" communal, shared performance in the natural environment of music is much needed today. And I fear that in our having separated ourselves from the natural environment, we are responding to the human condition as if in a hall of mirrors, reflecting the musical memes that have little to no relation to "reality". The very atoms of the natural environment quietly and discreetly display sounds that are imperceptible but for the remaining Song Birds, vibrant flora and fauna and their mortal sequences.

[@BettyHorn]

Over 60 years ago, my mom taught me that all music is mathematical.

[@mosesgrag2195]

How old are you?

[@BettyHorn]

@@mosesgrag2195 65. Why?

[@vosaemify]

@@BettyHorn over 60 years ago......

[@MrJay3333]

Loved the composition! Truly a badass pianist!

[@ProcrastinatingGameCat]

This is Amazing. Love that little pice. This channel just became my new favourite thing in the world.

[@NgubNding]

Hi guys, thanks a lot! That's actually very useful. I am not a musician. Yet, I use sound as a tool to support some mind training I do for clients. I've been using Phi for years in various visual stimulation tools. I really resonate with the simple, and straight to the point way you presented this auditory version of the Golden Ratio. I also totally dig the little musical piece you concocted. Good job. Keep it coming!

[@APR944]

I’ve also heard this ratio as “God’s Fingerprint”. As it is found trough nature dna the universe etc.

[@brocowsci]

It's everything natural, and sometimes not

[@himagnamukherjee9382]

1.618033988749895 it's the answer to nature, DNA, the universe, everything.

[@angelabroughton5980]

Anthony P. Ramirez ll Anthony - you are awake!

[@weneedmoreconsideratepeopl4006]

How to get that fingerprint on human-made designs... Can biomimicry do it?

[@xen0bia]

​@@himagnamukherjee9382 It's simply not. For one, the DNA things is wrong, because people fudge up the numbers to get the result to be phi. If you take the real measurements, the ratio is something like 1.78~, not phi. Also, more things in Nature follow different ratios than they do phi, so saying "everything" follow this magical rule is just a lie. Yeah, it appears in Nature, but so does quantities of other ratios that nobody cares about or pay attention to because they don't create cool looking spirals and patterns... The mystical status of phi as this "key" to the Universe or godly instrument is incredibly overdone. Any self-respecting mathematician will tell you as much.

[@JDavidChilders]

Try the term 'constraint'. Time is like a picture frame for music. It's the window through which we experience the creation. I'm beginning to think that human history also follows Phi.

[@openmind5363]

It Blew me away...just by knowing that and how to apply it with everything you do...can we say "GENIUS"

[@jerroldhewson3600]

that was pretty cool. As a visual artist I am quite familiar with the golden ratio. AS a budding musician, I was pleasantly surprised to see it yet again, showing its majesty of form.

[@tumbleddry2887]

Very cool!!! I love the discussion that ties our mathematical world to the world of music and composition.....wish I had one-tenth of your talent!

[@sanewfield1]

Wow, I have never heard of this. I don't remember subscribing to this channel but I'm glad I did. I will be looking at everything for this now. Very interesting.

[@NahreSol]

Cool thank you!!

[@phraalanjames6184]

What a lovely video. Thank you both.

[@gsalien2292]

What an awesome presentation! Thank you for taking the time to put this together! The musical piece that you created reminded me of a track from the film The Thomas Crowne Affair, the one with Rene Russo, so now I'm going to watch that movie now! Thanks again for this stellar video as it completed my fine breakfast of Tea and pancakes!

[@MysticFiddler1]

Almost 60 years ago my brother invented something he called "The Magic Sound." It was vocal training and sound systems based on the golden ratio. He wrote some music based on this. He is a theoretical physicist. He shared his knowledge with others and has never been given credit.

[@poppelgaard]

What was your brothers name?

[@nutritionandphysiology8023]

@@poppelgaard The world may never know...

[@hm09235nd]

so the phi moment canT really be appreciated until you've experienced an entire performance

[@mihu6345]

Nahre your music is amazing! Goosebumps all over! beautiful video thank you :))

[@ervicito77]

I don't know how I got here, but as a musician, painter, and math enthusiast, KZbin finally got the algorithm correct this time. I'm glad it did. Thanks! ♥️

[@jaypatton217]

Math is often referred to as the “language of science.” Interesting how music is written (so to speak) in math as well. Art and science are often viewed as being so different but they have more in common than most realize. Really cool video guys 👍🏽👍🏽

[@SoundFieldPBS]

Thanks for watching Jay!

[@joshchotiner]

What you guys were talking about at the end of the this video really got me thinking. Have you guys ever heard of the Oulipo artistic movement? It was all about creating art by imposing certain limitations or restraints on the creative process. For example, a French named Georges Perec author wrote a book called La Disparition, an entire novel that uses the letter E exactly 0 times, which is as hard in French as it is in English, being the most commonly used letter in French. It was even translated into English as "A Void" (which I'm sure was a special kind of torture for the translator! 😂)

[@blythewarland6688]

I use it almost subconsciously in my photography, never thought about it in music but it makes total sense

[@wardharrah55]

I just did that calculation on my favorite song "In The Mood" by Glenn Miller...My Mind is BLOWN right now!!! It happens right where it goes from a hard driving Forte sound to a nice pianissimo...Then if you take the calculation from there to the end it happens again where it reverts back to the forte hard driving!!! This is absolutely amazing!!!

[@goodfootz2632]

Y'all are so smart. Thanks for the great vid!

[@SoundFieldPBS]

Thank you for watching !

[@seamus9305]

A pine cone has a double spiral, one angled slightly more than the other often in Fibonacci sequence. The cone releases a winged seed and the seed has a double spiral, In the seed's DNA is a double helix or a double spiral. The branch that the cone grew out of has a double spiral and at every intersection an event occurs, a pine needle grows. When a tree splits in half a spiral is revealed from its growing pattern. Since noticing this I have never been able to see the tree without thinking of its divine Nature.

[@seamus9305]

@@chaosordeal294 Google pinecone Fibonacci.

[@TheOne-yq6qk]

Trees are amazing to observe, a bit off-topic but have you also noticed how trees in winter resembles a human circulatory system, or an explosion of electricity out of the ground?

[@martynkendrick9813]

pretty awesome. incredible to consider the golden spontaneity of that loose perfect precision drifting towards infinity. think a thirty minute improvisation along these spiral lines would be wonderful for meditation.

[@OlTrev]

Wow, watching this right after the Trap episode, where LA made that dope trap beat to Nahre making that crazy composition was crazy.