
Not one of my guitars, though this girl did once publicly say she wanted to be my b--- j-- queen.
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.
Taylor 714. No pickguard, so it's only for fingerstyle.
Pickguards are for sissies.
Final gratuitous guitar shot. Because you expect it.
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 hard to tell when you people take me seriously and when you don'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. Despite the presence of excellent science, humor, Elle MacPherson, Carol Alt, Heidi Klum and a poll, that article got 7 votes.
And yet I continue to write.
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.
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.
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.
* I also mentioned that "The Fibonacci" is the name of Adam Hobson's favorite sexual position. Still: 7 votes.
Cash, great piece! Music IS math. I know a couple of muscians who are quite talented, but who suck at math. I suppose they just suck at traditional math and unbeknownst to them, their brains are indeed mathematical.
I am also interested in the Circle of Fifths. I would like to see something about this vein of musical theory. I have an idea for a kid's book explaining the C of F in an easy to understand way.
With my vote, you're now up to 7, so with any luck you might get up to 9 by the end of the day.
You big vote whore.
I knew you were talking about the old article. I was trying to point out that this one will beat it. I don't think votes increase for old articles.
And, now this one is up to 9! Yeah!
I'd comment on the article, but I stopped reading when I got to the word 'math." Then I just skipped around and read anything that looked like it wasn't talking about math and looked at all the pictures.
Yes Cash --- you are a total attention whore. In your comment above, you left out the word "attention".
I haven't had time to visit your new AW group, but I promise to make time this week!
Wait, wait. If I want you to keep writing, I should not comment or vote, right?
Just voted! Enjoyed it immensely!
Would attaching a sound file helped or hurt this article?
I am three to four times as old as you and a guitar newbie - too much fun - my voice is almost as good as Neil Young's - the guitar playing needs work.
I am a math genius but your equations were tough for me as I really wanted to know how to grow a 6th finger so I can play some advanced chords
dont get me wrong, I clippped the equations for once I get past all my four chord neil young goodness
You, my friend, are welcome to link to your Neil Young awesomeness at any time, of course.
that is the definition of TOOOO generous - maybe next year - but i am happily playing and singing - and you know what - my wife makes requests (great wife - if a little deaf)
I tune my guitar with software and my ear - flawed - but there are MUCH bigger flaws involved in my playing "FOUR DEAD IN OHIO"
Cash, ya lost me at Eric Johnson, but still a nice article.
Oh, I know who he is. I'm just not particularly impressed by him (although I do acknowledge he's a far better player than I'll ever be). Feel free to curse.
I'm also always a bit amused by the whole concept of precision tune in regards to the guitar, as it's inherently going to be just slightly off at some place or another, despite efforts like the Buzz Feiten system or Gretsch's "Tempered Treble".
it's hard to tell when you people take me seriously and when you don't.
Hmm....I wonder....Cash-boy, who's fault that is??? :)
Cash, not trying to get my ass kicked. Just trying to get attention, as usual.
How about
Cash is wooing Sam with antics
But the rhymes can seem pedantic
when making time you should be cautious
the rest of us you're making nauseous.
Nycam, I'm surprised at you and your poem of sorts. I remember a time when.....
Cash, please please please record it for me!!!!
Huh. I feel like yesterday's newsvinepaper. *kicks at sand*
*wonders what sand is doing on berber carpet.*
Nycam, do you remember? No sand kicking! Get the vacuum and clean that Berber! Now, go vote for me for 'hottest'.
Voting Samantha "hottest" is like setting fire to your jacket to get more heat out of it. It just shouldn't be done. It isn't safe that you know how hot you are. Your haughty heat has habaneros huddling, your fiery bad self can consume cunning creatures; being within your influence can melt mettle and resolve .... whoops, said too much already.
Um...cold shower time, Nycam? ;)
Um, cold beer is more like it (#^#)
Nycam: above when I kept writing "I remember a time when" I was trying to compose a clever poem, but alas, I suck at poetry. Your poem is cute! How do you guys come up with stuff like that on a dime?
I was going to answer "absence of suckitude" but Cash's reply fits easier on a bumper sticker.
Nycam you are so funny. Good to see you around again!
And you, my dear, are so hard to ... write about. Ow. Sorry, my keyboard keeps lifting up somehow.
lol
OMG! (Covers her mouth with her hands with eyes wide open)!!!!
Objectify away, Cash. I came, I saw, I posted. MUCH smarter now.
This article has almost everything I hold dear in life: music, hot chicks, guitars.... if there had been just one rubber chicken, this would be my Bible! One thing, though..
the strings are a perfect fourth apart in pitch
You clearly have never heard me 4 or 5 songs into a set!
It's getting there... cover the mechanics of overtones and subharmonics and you may be the next recipient of Dr Frank (if Zaki ever gives him up). I'd love to see a pic of him getting spanked by Lady Scientist. Sheila might notbe too keen on the idea....
You seem like an absolute expert on this wonderful instrument. Perhaps you should be the one to guide me to become a Guitar God and I'm sure you'll do a much better job than Walt D. I am getting nowhere with his 'training' and could use the skills of someone so much more talented.
Ouch, Ansab! You do realize the simulated flame war is over, right? Or are you serious?
When Claus first made his writing challenge he had something that evoked a similar theme, because I only wrote one article before dropping out and it was about my lack of true appreciation for classical music until I read the book Godel, Escher and Bach. It came out in like 1979 and I was grownup and off on a career by then but always felt that there was something that musicians "got" that never made sense to me.
It's a pretty heady book and I'd be lying if I said I understood all the theories and analysis but it is more of what you have begun to unravel here and for anyone who wants to even poke at the subject, it's a good thing to nibble at even if you can't digest the whole book. Great minds think alike Cash, Douglas Hofstadter would be proud of the article, no guess on the final guitar!
You really will enjoy the book and it makes you feel smarter just seeing the correlations. It's funny for me to see all my kids are musical, all play piano, one plays violin too and only one great at math and he always goes for the complex stuff like the theme for Mario Brothers. I used to think he picked those just to be annoying so we could listen to the infernal repetition when the games were off but when he finally moved to the online gaming and was a WOW uber something and still playing the arcade tunes I finally believed it was about the progressions having a symmetry he loved not just annoying me and his sisters. He teases me now that I should have known he didn't need the piano to drive us bonkers; it's on the Y chromosome!
Hey, Cash, great article.
You've inspired me, I think, to attempt an overview on the links between math, music and alchemy. The theory goes something like this: both math and music are essentially symbolic representations of states of reality; alchemy is really just an attempt by man to manipulate his surroundings, so music is one of the more powerful tools in the alchemical toolbox, since it (more demonstrably than most) has vivid and immediate impacts (music hath charms to soothe the savage beast, and all that).
This may sound outlandish, but that's why it will take a full article to explain. There really is some sound theory behind it, but as you noted upthread, it'll take some work to have it come across as other than gobbleydegook.
Anyway, great piece, and thanks for the inspiration!
OK, you asked for it:
Good article Cash, I love anything that has guitars and babes in it though...so you get my vote by default.
Next time I want to see an article explaining the formula and ratio of playing the guitar (and the degree of skill) to being offered sex by random hot chicks. There's a formula in there somewhere for sure. Everyone picks up the guitar for the first time so they can get laid. That's fact.
This has got a good beat and I can dance to it though I have no idea what you're talking about. My eyes went glassy when you got to the equations. It did remind me, though, of the time I tried to teach pi while substitute teaching. The students insisted that I had mispelled the word "pie."
This is a great piece. I don't have anything brilliant to add but did want to let you know that as part of a new effort I'm starting to point the spotlight on great Newsvine articles I pointed attention in your direction.
Scott, Cash is one of my best friends on NV, BUT now I think he'll be one of yours too because he is....get ready....an attention whore! :)
Scott, btw, that's how I found it. Thx.
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