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Top 10 Reasons My Faster-Than-Light Car Rules:

10) Stephen Hawking always wants to carpool.

9) Breaking the laws of physics is only a misdemeanor in most states.

8) Traffic enforcement is pretty much limited to cops with Ph.D.'s in Quantum Physics.

7) Bugs - they never see you comin'.

6) I can get to the good hookers before Charlie Sheen.

5) I made a fortune selling pizza with the slogan "It's there before you order or it's free!"

4) I sleep until noon and still get to work by 8:00am!

3) I'm never in the car long enough to hear an entire Madonna song.

2) My cigar butts don't land in the back seat, they land in last week!

... and the number one cool thing about my faster-than-light car is ...

1) I get a license plate that reads "ME = MC^2"

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Music, Math and Models





I've said a few times that music is math. I've also said a few times that I'm a Chinese jet pilot and that Halle Berry wants to bear my children so it's probably hard to know when you should take me seriously and when you shouldn't.

But let's go back to this "music is math" stuff. On that part I'm not kidding. At the end of the day, a lot of things can be math, including music and supermodels. A few months ago I did an article on how Phi, the famously named Golden Ratio, could even tell us who would be a supermodel. It contained excellent science, humor, Elle MacPherson, Carol Alt and Heidi Klum , yet still left some math questions unanswered.

In that article I mentioned the golden ratio in music, namely that the octave, fifth, and major and minor sixths are ratios of consecutive numbers of the Fibonacci* sequence, making them the closest low integer ratios to the golden ratio. But that doesn't make a ton of sense until we get a little more basic, mostly because math doesn't exist in the real world, it isn't a hard science like physics.

So we'll figure out how math is music but first we'll show how music is physics. And, in proper attention whore fashion, I can show off some of my guitars.


Taylor 814CE. This and my Martin D28 are my go-to guitars. This has a cutaway so if I am playing up the neck I use it.



As a stringed instrument the guitar shares common harmonics with all of the other stringed instruments. What makes the guitar different in sound from the others are shape, materials, the nature of the strings - oh, and being in the hands of Eric Johnson.




Because a guitar string is elastic and fixed at both ends, it creates waves. It doesn't matter so much what waves are but if you want to know, a wave is the frequency times the length of the wave.

v = f x λ

Let's talk about the speed of that wave, v. That v is determined by string tension and linear mass density (mass/length) µ, measured in kg/m. Here's the concept you need to know to figure out how a string will make specific sounds:

The wavelength of a standing wave on a guitar string is twice the distance between the bridge and the fret.

Guitar strings are basically the same so you have to vary the tension and the size of the strings if you want cool sounds. You have to vary both because if you only varied the tension, for example, the high strings would be tight and the low strings would be loose. It's just better for playing to have all of the strings with the same tension (T ).

Some mathematical magic: the strings are a perfect fourth apart in pitch ( except for the G and B, 4th and 5th strings counting from the top down ) so any monkey can calculate how much the mass density ( µ ) has to increase between strings for the tension ( T ) to remain constant. Even Al Gore can't get this one wrong. So here is the only math you need to know:

v = square root of (T/µ)

You then make individual notes by using the frets. The ratio of the widths of two frets is the 12th root of 2, about 1.059. The twelfth fret divides the string in two exact halves. Every twelve frets represents one octave. So that's how guitar makers know where to place the frets based on the size of the neck.


Taylor 714. No pickguard, so it's only for fingerstyle. Pickguards are for sissies. Yes, I look like a dork. Try having someone take a picture of you while singing and see how you look.


I guess that's enough gorey detail for Part I but for Part II we can talk about harmonics and the way they translate physics into the math in this whole 'music is math' concept.



*Also what I named my favorite sexual position of 2002.


Final gratuitous guitar girl shot. Because you've come to expect it.

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Comments on "Music, Math and Models"

 

Blogger Chris Wilson said ... (7:34 PM) : 

So I suppose then that John Mather and George Smoot are the next Stevie Ray Vaugh and Eric Clapton?

 

Anonymous Anonymous said ... (7:43 PM) : 

I have no idea who those people are. I want to know which girl will be the next PJ Harvey.

 

Blogger Chris Wilson said ... (5:13 PM) : 

Nobel winners in physics, who may or may not be equally proficient in the guitar. My guess is that quantum mechanics or the "theory de jour" leaves precious little time to become the next Jimmy Page.

 

Anonymous Anonymous said ... (7:14 PM) : 

Well, la dee da, smell you Miss Rose.

I didn't know that!

 

Blogger The Grunt said ... (12:58 AM) : 

I don't have any jokes to tell because this post is about passion for guitars. The Martin D-28 is a serious instrument, Cash, as well as the others.

I haven't had the scratch to dedicate to getting my trophy guitars yet. I do have an early '70s pre-Gibson lawsuit era Les Paul knock off that just sings. I am currently waiting for a set of Wagner Custom Rewind pickups to drop in the baby.

It's funny how much people don't know about guitars and they just go for the ones that look cool or their hero plays.

 

Blogger The Grunt said ... (1:00 AM) : 

Oh, screw John Mayer or anybody who is only destined to be the next someone else. Derek Trucks is the next no one. He's just Derek Trucks!

 

Blogger Chief Scientist said ... (8:31 AM) : 

John Mayer is throwing Jessica Simpson around a Red Roof Inn while you and I write comments to each other.

So, yeah, I'll buy whatever guitar he plays, because he is definitely a hero of mine due to that.

*P.S. Though you are a solid number two. Maybe the only person who has more women listening to what he says than you is John Mayer.

 

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