Man when you say "thanks for watching" it breaks my heart realizing that the series has been concluded. You know who you are, sir? You are genius, no ... not just genius ... you are SUPERMAN!
Wow! You have laid the groundwork for discovery. As a math teacher, I feel that every student should watch this series. It incites curiosity and future exploration. Well done!
It makes sense that the tones sounding good together aren't a product of the frequencies but rather our perception of them if you take into account prediction error. Any Westerner who has listened to music has developed an expectation of what it usually sounds like. As a result, we prefer music that sounds familiar. Apparently this generalizes to even two consecutive string tones. So the feeling we get when we hear two strings that have simple ratios is not "this is mathematically pleasant" but rather "this is consistent with my expectations of how one tone follows another". In other words, strings with simple ratios have low prediction error. Minimizing prediction error is an important part of how our brains work so it's not surprising that it influences our basic perception of what is pleasing to the ear.
Yes! 3Blue1Brown went over this in one of his videos where he described how for a simple ratio like 1/2 = one octave, you can be off quite a bit and still make a sound close to an octave. It is my hypothesis that since our brains have to guess the frequency relation of two notes by analyzing their individual strike pattern, it picks up the correlation much faster and with less error for a more simpler pattern since the margin is a little bigger and repetition of the pattern occurs much sooner. For consecutive notes you would have to remember the last note and compare that sound to the new note so the same system applies but perhaps it is even more important to have simple fractions due to the fact that complex correlations might cause us to forget the original note much faster.
But this implies that the listener actually wants to pick up intervals. If he doesn't care it doesn't matter. I guess that's why people stemming from more secluded cultural backgrounds have lesser responses. It comes down to the (maybe innately) human desire to recognize patterns. For human facial recognition this is easily explained by evolution and I think the same thing could apply to sound. Differentiating the sounds of potential mates and potential predators could be one explanation.
This gets a bit more interesting when you consider how musical instruments are actually tuned. Most instruments are based on a tuning system called 12edo (edo = equal divisions of the octave), where the octave (2:1 ratio) is divided into a sequence of 12 equal smaller intervals (each 2^1/12 x the last). This makes instruments a lot easier to make, though it comes at a tremendous cost in terms of the accuracy of these ratios. 12edo just by coincedence happens to approximate 2:3 and 3:2 almost perfectly, and 2:1 perfectly by definition, but everything else it approximates very poorly (especially 5:4, 6:5, and their inverses). A few centuries ago, this wasn't considered a problem; many musicians believed that these were the only intervals people actually cared about. However, as musicians have looked for more interesting music, we've familiarized ourselves with some of the more complex intervals (or rather, with very poor approximations of them). I've even heard from people that the actual in-tune versions of some intervals sound "out of tune" compared to the poor approximations they're used to. There's actually a movement now for microtonal music; music that is based on alternative tuning systems. There are a vast zoo of different tuning systems being explored right now, from JI systems (systems that actually try to get perfect approximations of many intervals) as well as other edo systems. Many of these offer better (or at least similarly out-of-tune) approximations of these pythagorean intervals, and many offer approximations of intervals that 12edo simply can't approximate at all, such as the 11th and 13th harmonics. These may sound pretty alien right now, but you can get used to them. There are also many cases where, in addition to Major and Minor intervals, there are also many additional variations including Supermajor, Subminor, and Neutral intervals. If anyone is interested in listening to some microtonal music, here's a short list of artists (though definitely not exhaustive, just some of my favorites): Bad Canada : badcanada.bandcamp.com/ Sevish : sevish.bandcamp.com/ Brendan Byrnes : brendanbyrnes.bandcamp.com/ Ilevens : ilevens.bandcamp.com/ Redrick Sultan : redricksultanband.bandcamp.com/album/fly-as-a-kite Dolores Catherino : dolorescatherino.bandcamp.com/ King Gizzard and the Lizard Wizard (Not all microtonal, but they're probably the best known group doing anything with it) : kinggizzard.bandcamp.com/music
Charles Rosenbauer ive listened to a few, and they sound absolutely horrible, but stay for a minute or two and I find myself tapping my feet to the beat.
Incidentally, I was wondering why 12 intervals was picked and not some other natural number, and ran a quick calculation. I have looked at all possible values from 5 to 100, and it turns out that 12 is by far the best by its sum total error in approximating 2:3, 3:2, 5:3 and one or two other basic ratios.
This is really cool! At first it sounded very hard and confusing, but after I heard the music develop through the song it sounded really nice! It kind of makes the music I normally listen to sound more confined within its twelve intervals. Not necessarily bad or uninteresting, but microtonal seems to have this space that 12edo doesn't get. Of course, I imagine it's a little harder to make microtonal intervals work together than it is 12edo intervals, as the limitations of 12edo would make it easier to put a lot of notes together that sound good, whereas in microtonal music there isn't the same structure to work off of. Though I don't know if that's correct; it's just a thought I had. Thank you for showing me this!
101st. Missing your content man… I don’t think I’ve felt such an emptiness in a while. I’ve watched all your series at least 5 times each, I need some new knowledge :(
A teacher I had lived across the hall from him, and was friends with his wife. She actually directed me to his channel. Me and her have a bad relationship though so I won't be talking to her anytime soon.
Tanya Chou he’s my current computer vision professor at UNCC. Shuffling his life between being a professor and running his company may have been a reason for his UA-cam absence.
Man! I love your videos!! In this video you can totally see how much research you put into all of this. All those papers underlined and highlighted. Congrats!!! Keep it up
thanks for making these marvelous videos. my suggestions for future topics would be: the life of a molecule - the moon secrets - how the brain works - why we see the different materials in different colors - why did human need math at the beginning - how can we expand the math and physics now in a useful way
The problem with most educational youtube channels is that they spit information at us instead of getting us to think about it. Your channel is an exception; I eagerly wait for new content.
Should be noted that the tribal study does not demonstrate that the ability to hear consonance is culturally predicated (indeed the Tsimané were able to distinguish consonant and dissonant intervals), only that the perception of it as "pleasant" is. The use of simple frequency ratios in music is in fact universal across cultures, so there should at the very least be a non-cultural explanation for the preference for simple frequency ratios *in music*.
Wow! This is really 'How to Science' A simple question took so many years to reach a point but still unanswered!! Still we humans are on it. Knowing who we are😅 Loved the way you explained!!🙌
Well , it seems mysterious that Pythagoras had the same taste of music at around 500 BC .. I mean music could've been completely different at that time, so is there any difference in the data Pythagoras collected and what we have today.
I don't think we have to guess in that. There are significant fragments of actual Greek musical notation preserved from that time. Also, the lengths of double pipes from that time, because they played two notes at once, just like this experiment. So, if their music was the same as ours curious people should be able to look it up. Even the word music comes from Greek (from the muses). It would not be surprising if much of what the Western world calls music today was in ancient Greece already. Maybe it's as old and prevalent as the proto Indo-European language but maybe its fundamentals change less over time because music is even more profound than language to our brains.
Hi there, first I want to thank you for the great videos. they are awesome! I want to know what software you used to make the animations in this video? thank you again for the great content.
I think the answer is simple. Our brains like patterns, similarities, and other attributed things like these. The effect can increase our response in the short term but the cause I believe is similar to a ranking system where the higher the score the higher our response as satisfaction. Our brain is this ranking system and is reactant on the previous data it has had "life/dataset". This is what allows trained neural networks to produce the response we want and the human brain to be satisfied with the underlying senses we receive when they have some correlation to previous experiences that had also been liked. This goes further and when you count in the effects in the long-term exposure or overexposure you can see the relation and how negative attributes can get mixed in resulting in dissatisfaction leading to ignorance e.g if every building is made of brick then the first house would look interesting but the 2 millionth wouldn`t be noticed. This is effectively the brains manifestation of webers law. Why??? Well, this is more simple. Our brain, after all, is the result of evolution and evolution is dependent on the environment. Our environment as a human had a past and still involves surviving. The primary part of this for us is gathering energy. And if getting water every now and again is essential then we are trained to continuously get water, eat food, move around, etc. This has provided us with a foundation for our brains to follow and it applies this to all the senses and experiences. Liking or disliking some music is dependent on how our brain has been taught to treat it.
1:37 ohh, now i get. So simple fractions mean the numerator in the co-prime fractions (dont know if that's what they are officially called) is one ?? what i mean by coprime fractions: p/q , and p-q are co-prime numbers i.e. no other common factor than 1.
Stuff like 6/11 is still coprime but for some reason not considered a simple fraction. I really wish he explained more in depth what exactly simple fractions mean
Perhaps it's like how habits work. Just as our basal ganglia kind of helps keep track of our habits by making it easier to repeat the same routine over and over again, our brains might prefer similar sound patterns because they sort of 'make sense', they aren't disorganised and there's a clear pattern for the brain to follow and even remember for the next time, and may be this is why we gets ear worms in songs too, because our brains have recognised distinct patterns that may be recognizable.
When you add in to your analysis V music of China and Japan, and then add in the music of India, you get an entirely different take on your presentation. Music arguably impacts the brain in holographic and multi-dimensional ways. This is because it's not just the function of flat space vibratory phenomenon, but because it involves pressure as well as time. In other words, notes in an intellectual vacuum are not the same as notes in an ongoing experience. Add to this that there are many additional non contrived Musical or if you wish auditory vibratory constructs, such as the music of other cultures none of which are presented here, or even the differences among languages such as the difference between Italian and German, or the click languages, we see that we are studying a small portion of the Arc of sounds and its impact on the listener. Sometimes one cannot discern even that a tree is a tree without considering the forest in which it grows. And let me acknowledge that the tree analogy is not particularly good one, but please accept the metaphor so that the benefit of the point is made.
Hi. Sorry for duplication of comment. I'm writing my diploma and wanna make some learning videos on related topics. May you provide some learning materials on how to develop so qualitative content ( I mean visually), especially I'm interesting on your camera controlling system. I'm quite good in python and math and ready to dedicate several months for this purpose. Problem is that I can learn robotics with python and ROS to build camera control system but I wanna some more specific materials because I don't need robotics in my own researches field. Will be very grateful for any answer. And, yes, your channel - the best I've seen on UA-cam.
A "simple fraction" is a fraction that has whole numbers in both it's numerator and dominator.... And the "simplest form of a fraction" is when the HCF b/w the numerator and dominator is 1..... So, please explain what do you mean by combinations of strings that sound good together have simple ratios of length, simple ratios of square roots of their tensions and simple ratios of of their frequencies... Please define the term "simple fractions" in this context.... As all of them are simple fractions from a mathematical standpoint 🙆🏻♂️
Science does not answer the question "why", but adresses the question "how". The ultimate answer to "why" might be very unpleasant for the vast majority of people, as it would tear down their world, ripping them of all their individuality and "human-like-being", whatever that might be to them.
Erik Žiak sometimes why can be mechanistically resolved with how. But if your comment is based upon meta why, then continuing on that thought frequency, I agree.
It's more fulfilling.....4/5...is closer to 1...thus our brain can't differentiate much....and hears them as good sound...while 4/7 is more distinguishable by the ear...and thus it's unpleasant
This was such a satisfying video series to follow. The amount of work, time, and effort put into these videos really shined through the editing and explanations- amazing work!
What the f is a "simple fraction"? Did I miss something? What makes 5/6 less _simple_ than 3/4 or 143728957298 / 839752857205720957029357209 less _simple_ than 1/2?
You can write all fractions in a list: 1/1 , 1/2 , 2/2 , 1/3 , 2/3 , 3/3 , 1/4 , 2/4 , 3/4 , 4/4 , ... Many of these fractions are just repetitions like 1/1 = 2/2 = 3/3 So we can make the list "shorter" like this: 1/1 , 1/2 , 1/3 , 2/3 , 1/4 , 3/4 , 1/5 , 2/5 , 3/5 , 4/5 , ... And now we can just define "simplicity" the following way: The closer a fraction is to the start of the list, which is 1/1 , the simpler that fraction is.
But it troubles me the fact that those pitagorean misconceptions had stood up for 2000 years and still everyone believe that harmonic ratios in length cords are what makes music sound good. What a drag.
![Channel Update [April 2017]](http://i.ytimg.com/vi/gZPy7OxAjRM/mqdefault.jpg)
![Channel Update [April 2017]](/img/tr.png)
Man when you say "thanks for watching" it breaks my heart realizing that the series has been concluded.
You know who you are, sir?
You are genius, no ... not just genius ... you are SUPERMAN!
Wow! You have laid the groundwork for discovery. As a math teacher, I feel that every student should watch this series. It incites curiosity and future exploration. Well done!
Thanks for watching!
It makes sense that the tones sounding good together aren't a product of the frequencies but rather our perception of them if you take into account prediction error. Any Westerner who has listened to music has developed an expectation of what it usually sounds like. As a result, we prefer music that sounds familiar. Apparently this generalizes to even two consecutive string tones. So the feeling we get when we hear two strings that have simple ratios is not "this is mathematically pleasant" but rather "this is consistent with my expectations of how one tone follows another". In other words, strings with simple ratios have low prediction error. Minimizing prediction error is an important part of how our brains work so it's not surprising that it influences our basic perception of what is pleasing to the ear.
LaurensK90 Yo seems correct !!
Yes! 3Blue1Brown went over this in one of his videos where he described how for a simple ratio like 1/2 = one octave, you can be off quite a bit and still make a sound close to an octave. It is my hypothesis that since our brains have to guess the frequency relation of two notes by analyzing their individual strike pattern, it picks up the correlation much faster and with less error for a more simpler pattern since the margin is a little bigger and repetition of the pattern occurs much sooner.
For consecutive notes you would have to remember the last note and compare that sound to the new note so the same system applies but perhaps it is even more important to have simple fractions due to the fact that complex correlations might cause us to forget the original note much faster.
But this implies that the listener actually wants to pick up intervals. If he doesn't care it doesn't matter. I guess that's why people stemming from more secluded cultural backgrounds have lesser responses. It comes down to the (maybe innately) human desire to recognize patterns.
For human facial recognition this is easily explained by evolution and I think the same thing could apply to sound. Differentiating the sounds of potential mates and potential predators could be one explanation.
Indian Classical Music which developed independently of Western music also use similar 12 notes. These patterns are probably innate.
@@yogeshroy9913 They prefer to be called “Native Americans.”
This gets a bit more interesting when you consider how musical instruments are actually tuned. Most instruments are based on a tuning system called 12edo (edo = equal divisions of the octave), where the octave (2:1 ratio) is divided into a sequence of 12 equal smaller intervals (each 2^1/12 x the last). This makes instruments a lot easier to make, though it comes at a tremendous cost in terms of the accuracy of these ratios. 12edo just by coincedence happens to approximate 2:3 and 3:2 almost perfectly, and 2:1 perfectly by definition, but everything else it approximates very poorly (especially 5:4, 6:5, and their inverses). A few centuries ago, this wasn't considered a problem; many musicians believed that these were the only intervals people actually cared about. However, as musicians have looked for more interesting music, we've familiarized ourselves with some of the more complex intervals (or rather, with very poor approximations of them). I've even heard from people that the actual in-tune versions of some intervals sound "out of tune" compared to the poor approximations they're used to.
There's actually a movement now for microtonal music; music that is based on alternative tuning systems. There are a vast zoo of different tuning systems being explored right now, from JI systems (systems that actually try to get perfect approximations of many intervals) as well as other edo systems. Many of these offer better (or at least similarly out-of-tune) approximations of these pythagorean intervals, and many offer approximations of intervals that 12edo simply can't approximate at all, such as the 11th and 13th harmonics. These may sound pretty alien right now, but you can get used to them. There are also many cases where, in addition to Major and Minor intervals, there are also many additional variations including Supermajor, Subminor, and Neutral intervals.
If anyone is interested in listening to some microtonal music, here's a short list of artists (though definitely not exhaustive, just some of my favorites):
Bad Canada : badcanada.bandcamp.com/
Sevish : sevish.bandcamp.com/
Brendan Byrnes : brendanbyrnes.bandcamp.com/
Ilevens : ilevens.bandcamp.com/
Redrick Sultan : redricksultanband.bandcamp.com/album/fly-as-a-kite
Dolores Catherino : dolorescatherino.bandcamp.com/
King Gizzard and the Lizard Wizard (Not all microtonal, but they're probably the best known group doing anything with it) : kinggizzard.bandcamp.com/music
Charles Rosenbauer ive listened to a few, and they sound absolutely horrible, but stay for a minute or two and I find myself tapping my feet to the beat.
They sound bad to my brain.
Incidentally, I was wondering why 12 intervals was picked and not some other natural number, and ran a quick calculation. I have looked at all possible values from 5 to 100, and it turns out that 12 is by far the best by its sum total error in approximating 2:3, 3:2, 5:3 and one or two other basic ratios.
This is really cool! At first it sounded very hard and confusing, but after I heard the music develop through the song it sounded really nice! It kind of makes the music I normally listen to sound more confined within its twelve intervals. Not necessarily bad or uninteresting, but microtonal seems to have this space that 12edo doesn't get. Of course, I imagine it's a little harder to make microtonal intervals work together than it is 12edo intervals, as the limitations of 12edo would make it easier to put a lot of notes together that sound good, whereas in microtonal music there isn't the same structure to work off of. Though I don't know if that's correct; it's just a thought I had.
Thank you for showing me this!
But then again, I suppose microtonal music wouldn't be expected to conform tot he same rules as 12edo music has come to be expected of.
Please make more videos... they quality of your videos indicates an immense amount of effort put into each and every one of them!
Really loved the series, glad I've found this channel. Thank you!
101st. Missing your content man… I don’t think I’ve felt such an emptiness in a while. I’ve watched all your series at least 5 times each, I need some new knowledge :(
Agreed, i am hoping sometime he is able to find some time off whatever he is busy with to start some new super educative content. I love this creator
Still hoping for new videos
Even the blog is stuck at july 2017. Anyone know the creator in real life ? It's a bit worrying. 🤔
This is some high quality content 👍🏻
A teacher I had lived across the hall from him, and was friends with his wife. She actually directed me to his channel. Me and her have a bad relationship though so I won't be talking to her anytime soon.
Tanya Chou he’s my current computer vision professor at UNCC. Shuffling his life between being a professor and running his company may have been a reason for his UA-cam absence.
At 5:00 the wow signal!
Came to comment section to write this.
It is amazing how such a simple scientific set up can provoke thoughtful and deep questions about art and music.
Omg it's almost time for a new vid, I'm so excited!!!
Man! I love your videos!! In this video you can totally see how much research you put into all of this. All those papers underlined and highlighted. Congrats!!! Keep it up
thanks for making these marvelous videos. my suggestions for future topics would be: the life of a molecule - the moon secrets - how the brain works - why we see the different materials in different colors - why did human need math at the beginning - how can we expand the math and physics now in a useful way
Awesome work!
Please make one behind the scenes video explaining different tools and techniques you use for these videos.
Yogesh Singla he already did...
Curiosity please share the link
I failed to find it myself
Yogesh Singla Is the video with the title: channel Update [April 2017]
Curiosity Thanks man! Found it.
what a lovely series, i will experiment all this with my guitar the easiest way to do all this mass, tension and length can be adjusted
As always, awesome video !!!
Finding patterns with maths makes it so interesting. We realise how life is beautifully symmetrical... Thanks for these videos ❤
The problem with most educational youtube channels is that they spit information at us instead of getting us to think about it. Your channel is an exception; I eagerly wait for new content.
Should be noted that the tribal study does not demonstrate that the ability to hear consonance is culturally predicated (indeed the Tsimané were able to distinguish consonant and dissonant intervals), only that the perception of it as "pleasant" is. The use of simple frequency ratios in music is in fact universal across cultures, so there should at the very least be a non-cultural explanation for the preference for simple frequency ratios *in music*.
man thanks for this videos and tutorials!
You did a great job
Mind-blowing, excellent
This sounds like Adam Neely's talk "Polyrhythms are Polypitch", taken to the next level.
Amazing, thank you.
Wow!
This is really 'How to Science'
A simple question took so many years to reach a point but still unanswered!!
Still we humans are on it. Knowing who we are😅
Loved the way you explained!!🙌
You should make this series a playlist
Well , it seems mysterious that Pythagoras had the same taste of music at around 500 BC .. I mean music could've been completely different at that time, so is there any difference in the data Pythagoras collected and what we have today.
I don't think we have to guess in that. There are significant fragments of actual Greek musical notation preserved from that time. Also, the lengths of double pipes from that time, because they played two notes at once, just like this experiment. So, if their music was the same as ours curious people should be able to look it up. Even the word music comes from Greek (from the muses). It would not be surprising if much of what the Western world calls music today was in ancient Greece already. Maybe it's as old and prevalent as the proto Indo-European language but maybe its fundamentals change less over time because music is even more profound than language to our brains.
Looking forward to "Learning to Hear" series
Hi, Welch labs. I really enjoy your videos. Every time I watch, I wonder what program was used to make your videos. Can you tell me..?
More Videos!!! .... please.
Hi there, first I want to thank you for the great videos. they are awesome! I want to know what software you used to make the animations in this video? thank you again for the great content.
WHERE DID YOU GO??? I WANT MORE AMAZING VIDEOS!!!!!
:D
Love your videos! One question: how do you define simple fractions?
Where has this person gone?
I think the answer is simple. Our brains like patterns, similarities, and other attributed things like these. The effect can increase our response in the short term but the cause I believe is similar to a ranking system where the higher the score the higher our response as satisfaction. Our brain is this ranking system and is reactant on the previous data it has had "life/dataset". This is what allows trained neural networks to produce the response we want and the human brain to be satisfied with the underlying senses we receive when they have some correlation to previous experiences that had also been liked.
This goes further and when you count in the effects in the long-term exposure or overexposure you can see the relation and how negative attributes can get mixed in resulting in dissatisfaction leading to ignorance e.g if every building is made of brick then the first house would look interesting but the 2 millionth wouldn`t be noticed. This is effectively the brains manifestation of webers law.
Why??? Well, this is more simple. Our brain, after all, is the result of evolution and evolution is dependent on the environment. Our environment as a human had a past and still involves surviving. The primary part of this for us is gathering energy. And if getting water every now and again is essential then we are trained to continuously get water, eat food, move around, etc. This has provided us with a foundation for our brains to follow and it applies this to all the senses and experiences.
Liking or disliking some music is dependent on how our brain has been taught to treat it.
I'm now addicted. You're a good dealer. ;)
man!! that's amazing
0:33 every single number on that chart is a “simple fraction.”
Well done ☺
Miss your content
Have you thought about making a video describing the mathematics of the reverse pizza roll?
amazing
1:37 ohh, now i get. So simple fractions mean the numerator in the co-prime fractions (dont know if that's what they are officially called) is one ??
what i mean by coprime fractions: p/q , and p-q are co-prime numbers i.e. no other common factor than 1.
Stuff like 6/11 is still coprime but for some reason not considered a simple fraction. I really wish he explained more in depth what exactly simple fractions mean
@@mcdudelydoo3116 i also thought about "simple fractions" for some time, then i settled at : it's just a fluff term
Perhaps it's like how habits work. Just as our basal ganglia kind of helps keep track of our habits by making it easier to repeat the same routine over and over again, our brains might prefer similar sound patterns because they sort of 'make sense', they aren't disorganised and there's a clear pattern for the brain to follow and even remember for the next time, and may be this is why we gets ear worms in songs too, because our brains have recognised distinct patterns that may be recognizable.
LOVE YOU
🖤 great work 🙏
Do series on diferential equations
could u please make a video about measure theory
Hi Stephen, will there be any new videos out later?
ye i wanna know too
Been a whole month!
Why isn't this made a seperate playlist yet.... please do it looks oraganised
Whats the track name played after 6.4 minute..? Anyone please?
When you add in to your analysis V music of China and Japan, and then add in the music of India, you get an entirely different take on your presentation. Music arguably impacts the brain in holographic and multi-dimensional ways. This is because it's not just the function of flat space vibratory phenomenon, but because it involves pressure as well as time. In other words, notes in an intellectual vacuum are not the same as notes in an ongoing experience. Add to this that there are many additional non contrived Musical or if you wish auditory vibratory constructs, such as the music of other cultures none of which are presented here, or even the differences among languages such as the difference between Italian and German, or the click languages, we see that we are studying a small portion of the Arc of sounds and its impact on the listener. Sometimes one cannot discern even that a tree is a tree without considering the forest in which it grows. And let me acknowledge that the tree analogy is not particularly good one, but please accept the metaphor so that the benefit of the point is made.
Neat.
mind blown
Hi.
Sorry for duplication of comment. I'm writing my diploma and wanna make some learning videos on related topics. May you provide some learning materials on how to develop so qualitative content ( I mean visually), especially I'm interesting on your camera controlling system. I'm quite good in python and math and ready to dedicate several months for this purpose. Problem is that I can learn robotics with python and ROS to build camera control system but I wanna some more specific materials because I don't need robotics in my own researches field.
Will be very grateful for any answer.
And, yes, your channel - the best I've seen on UA-cam.
Thanks for watching! I recommend shooting in a lightbox to get started. I use python and the adobe creative suite for most visuals.
Thanks a lot for your answer.
David in movie Prometheus uses flute as universe representation, but he is a robot.
Was that the end of the series?
perfect :))
4:19 -100- 86 billion neurons as recently discovered.
Thank you.
Those that have stopped searching are as good as dead.
any name for the background music?
can someone add english subtitle?
What is the name of the music used in this video? It's really soothing.
Kevin Bui Simple frequency ratios
I like his annotations for the research papers, it shows he is interested in the science.
A "simple fraction" is a fraction that has whole numbers in both it's numerator and dominator.... And the "simplest form of a fraction" is when the HCF b/w the numerator and dominator is 1.....
So, please explain what do you mean by combinations of strings that sound good together have simple ratios of length, simple ratios of square roots of their tensions and simple ratios of of their frequencies... Please define the term "simple fractions" in this context.... As all of them are simple fractions from a mathematical standpoint 🙆🏻♂️
Hey where are you
Ooohh yeeee
HTSP6 EXPORT 4 😜
U alive
May be the question is not about maths but it's about philosphy ? ;)
For that to proof we need a connection between maths and philosophy. I'd love to see that
But philosophy is about asking the deep questions, not about getting answers.
Early enough
Science does not answer the question "why", but adresses the question "how". The ultimate answer to "why" might be very unpleasant for the vast majority of people, as it would tear down their world, ripping them of all their individuality and "human-like-being", whatever that might be to them.
Erik Žiak sometimes why can be mechanistically resolved with how. But if your comment is based upon meta why, then continuing on that thought frequency, I agree.
Woot woot.
Woot!
Are you still there? People might be getting concerned about you...
I still don't get it... What is "simple fraction"?
why 4/5 is better than 4/7 ?!
It's more fulfilling.....4/5...is closer to 1...thus our brain can't differentiate much....and hears them as good sound...while 4/7 is more distinguishable by the ear...and thus it's unpleasant
@@theepicguy6575 10/11 is even closer to 1 than 4/5 yet for some reason it's not considered a simple fraction.
Did you cut your hand? What happened?
I did! Cutting out all those scraps of paper is dangerous!
It is because of some neurotransmitters. They suppres the growth of similar neurons lol.
Mainly Serotonin some neuroephenrphrine and even dopamine lol.
How are there so few comments on this?
Yas! I'm early
This was such a satisfying video series to follow. The amount of work, time, and effort put into these videos really shined through the editing and explanations- amazing work!
Namaste Sir, I would love to follow u on Instagram please !!
Namaste
Hey.. are you a student.
cool, next time......
Hey man could you do a calculus for beginners series because 3blue1brown's was pretty hard so pleaaaase.
What the f is a "simple fraction"? Did I miss something?
What makes 5/6 less _simple_ than 3/4 or 143728957298 / 839752857205720957029357209 less _simple_ than 1/2?
Cubinator73 I think simple means small
would you eat half a cake or divide it in 839752857205720957029357209 pieces and eat 143728957298 of them?
You can write all fractions in a list:
1/1 , 1/2 , 2/2 , 1/3 , 2/3 , 3/3 , 1/4 , 2/4 , 3/4 , 4/4 , ...
Many of these fractions are just repetitions like 1/1 = 2/2 = 3/3
So we can make the list "shorter" like this:
1/1 , 1/2 , 1/3 , 2/3 , 1/4 , 3/4 , 1/5 , 2/5 , 3/5 , 4/5 , ...
And now we can just define "simplicity" the following way:
The closer a fraction is to the start of the list, which is 1/1 , the simpler that fraction is.
+Dippy_snarp Well "small" could mean
lol i didn't think of that...
but it is still easier to cut into two equal pieces is it not?
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هاي
Couldn't it be that the tribe people are genetically different to the rest of the world?
But it troubles me the fact that those pitagorean misconceptions had stood up for 2000 years and still everyone believe that harmonic ratios in length cords are what makes music sound good. What a drag.
Навальный)))
ага