Friday, May 11, 2012

A Symphony of math-gic, the self-portrait experimentation



Hello all, back again and this time we are going to talk about the quantum relationship of god particles in the surrounding universe and their effect on the snail population of Earth. Of course I made that up but I’m sure someone was interested by that subject; I mean seriously snails are pretty darn amazing. Seriously though today we learn about that crazy thing hipsters do, something called music? I don’t know what the craze is all about, just seems like a cacophony to me, sad face. For those of you who don’t know what a cacophony is, I don’t either but a smart person I met today said it so I decided to use it, I hope it fits in context. Back on track now, it seems I go on a lot of tangents or maybe they are sinusoids, I guess I can’t really know which it is. Speaking of this, music is sinusoidal! Yeah that’s right, all you music majors thought you wouldn’t have to know math, HA. So how does listening work, we’ll figure out music once we figure out how we hear.
Long, short, stiff, limp, sensitive, and funny feeling, all of these adjectives describes an interesting body part. The Ear, that’s right my dirty minded readers, the ear is what we are talking about. So back on track, what happens when sounds go into the ear? I’ll try to refrain from all the boring medical mumbo-jumbo. Well once they are inside the ear these sounds, which from now on we will refer to as “Good Vibrations” travel through the ear to the ear drum, the good vibrations make the ear drum vibrate which makes three bones in the ear vibrate. These bones can amplify, or increase the vibrations from the ear drum. These bones then send these “Gooder Vibrations” to the inner ear also known as the Cochlea which is this weird Fibonacci-spiral-esque part of your ear, when the gooder vibrations get in here essentially they make the water in your Cochlea vibrate and make waves. These waves then hit a membrane and send an electrical signal to the brain, which then gets translated into the sounds we know and love! The way I imagine it is like a stage floating on a lake. The microphone is the eardrum, the three bones are the amplifiers and the lake is the water in the cochlea. As the singer sings into the microphone the water in the lake vibrates and creates waves in a beautiful display or aquatic-music-integration, which is a word I just made up.

So from this we know that music is just “Really Gooder Vibrations” that end up pleasing to our brain . Well what do most people think of when they think of music? Probably the stuff you listen to on your ipod by random artists. Well that’s a small fraction of true music. If we use the oxford definition of music we see that music is “vocal or instrumental sounds (or both) combined in such a way as to produce beauty of form, harmony, and expression of emotion:”. I believe this definition is too narrow. I think of music more as an assortment of sounds that when combined at correct times create a pleasing sound. Perhaps you don’t know what I mean. Well imagine we were in space but we had a magic device that could hear anything anywhere on the world at any time. Now we turn this device on so it can hear everything at once, it sounds like someone is killing a narwhal or something, but say we only took the basic sounds, the sounds of the wind and the trees. Then we added some sounds and eventually we created a medley song of just random sounds we found on Earth. What if every day you could pick out sounds and hold them in your head, and when you hear another you add that and eventually you have your own song! Makes the world a little more beautiful right?

There is more to music though!  Imagine we assigned each music note a color. And each octave lowered or raised the color a tint. When that note is played that color appears on the screen. Imagine your favorite song in color form and how amazing that would be. Why stop there though, what if we imagine that we assign music notes to colors? When you click a color a different music note plays. What if you made a self-portrait and played a symphony of you? I can almost guarantee you it will sound bad but it was a good idea!

For tonight this is all I share with you my fellow mathemites but fear not. Even though the reason I started this blog is ending this week I shall continue to bring you all the mathy goodness I can, in small doses of course, wouldn’t want to injure my loyal reader.
P.S. that last word was not a typo.
Look for music in the world and remember the math behind it. Maybe one day you’ll be able to see how beautiful the world is to me. Bye for now friends I’ll be back, with math-pons? Weap-maths? Whatever.


Hmm, so I guess that other things like the Fibonacci numbers and the Lucas numbers can be used to make beautiful music? I wonder if we hear the Fibonacci symphony in everyday life? I guess if we think of all of the music and sounds in the world it really is a large world. Or is it?

Friday, May 4, 2012

Things that are Golden are In-Phi-nite Fun


HELLO mathmatites, mathematicalulars, people who originate from the great land of Mathia. Back again, and this week we focus on flowers and fibonacci’s!! Oh….. wait, that was last week…. Uhhhhh okay so we can talk about Mathematics….. no that was two weeks ago. How about gold? Yeah gold sounds like a good math concept!! Seems a tad more “sciency” but I think we can make it work right? Its math, anything can happen with math!! But who wants to be restricted to something so menial as gold? Let’s step it up and add in some letters!! You know those things in math that nobody likes because they aren’t “numbers” and they “make things harder”. But who wants to stop at normal American letters!! Let’s add in some Greek letters, like Phi.  So gold and Phi, anyone see where I’m going with this? No? Hmm maybe I have to be more explicit. There once was a man from Tuckahoe, who dreamed of a golden ratio, with a rectangle side b and longer side a, the ratio of a + b / a must be equal to the ratio a/b for it to follow the golden rule. Oh yeah, rhyming skills…. Give me a break I’m a mathematician not a poet, and I do know it ;D.
               
  So obviously our talk for today is going to be about the Golden Ration and Phi. Phi is the Greek letter that in this instance represents the fraction (1 + sqrt(5))/2. If you are like me and always have a calculator with you, you probably didn’t have to read this sentence to see what is calculates to be is approximately 1.618033988749895… and so on and so on. Now you’re probably sitting at home reading this for one of three reasons. One you find it interesting, two you enjoy laughing at my attempts to sound smart by using big words like “addition” and “5” , or three you don’t care but the math intrigues you to the point you have to read this blog all the way through. This isn’t trigonometry so enough of these tangents let’s talk about what the golden ration means in the world. The golden ratio has been said to have interesting aesthetically pleasing properties. It has been said that objects that incorporate the golden ratio are much more visually appealing than those without. After some research I foud out that a few things the incorporate the golden ratio in their design are, The Mona Lisa, The Parthenon, and credit cards. That’s right people get out your rulers with stickers of cartoon characters on it it’s time to measure our credit cards. So take your ruler and measure the longer side of your credit card and then divide that number by the measurement of the shorter side. I bet you’ll get something pretty close to 1.618? Be aware units do not matter here because it is a ratio. But that’s amazing, isn’t it? So after all of those mathematical calculations my brain hurts so let’s go to something more colorful. If you take the color spectrum you know ROY. G. BIV. Anyone remember that old thing? Well these colors are measured in frequencies. It has been said that is you take two colors and then one color that is Phi distance on the frequency scale from one of the others that you chose it will complement those colors better than any other color would. I guess art is math then? Come to think of it, it seems like everything has some math in it right? I bet if you looked hard enough you could see the math in everyday life. I have faith. But back to our subject! Right, gold or golden ratio I guess, why am I telling you this? Well if you think about it maybe mathematicians make the best artists, what if we made a drawing the uses only rectangles and objects that are in the golden ratio? Probably be pretty darn beautiful? I guess math can be beautiful, and if you don’t think it can well I guess haters going to hate as the kids these days say?

Well I think I bored you guys enough I will leave you with two stories today. So the other night I had some recorded tv shows to watch, about 5 or 6 ranging from 30 minutes, to an hour long with commercials (which we all know I skip through anyways) I started at about 8:43 pm and when the last show ended and I was about to turn the TV off the clock turned to 12:00 exactly. The second story is today I filled up my car and I filled exactly 13.333 gallons, I don’t know why that one has any math relation but I’m sure my faithful readers can imagine how awesome I felt filling up for that. Next week I think we are going to get a bit leafy ;D  May the math and the fourth be with you all.