Rawr I was giving general examples, but it got taken like that's the 'only' uses O.o
Physics are just very well known for such since it's pretty much impossible to get very far into physics without calculus. There's "alot" of fields that use it, but thing is, generally yeu won't get a job because of knowing it... more likely they'll send the problem to someone else instead. For example, if yeu do 99% of yeur work without calculus but need it for one particular task, yeu're not going to hire someone for it... yeu're going to give it to a university student to do for a few hundred dollars, and save yeurself a full time employee with additional pay for knowing how to do that.
Most people flat out have no use for trig/calc... it's not that they're BAD or anything... I mean for whot they're needed for they work very well, and are essential to performing some tasks, such as figuring out how much fuel is required to break orbit on a rocket for example... as yeu add more fuel, yeu also add more weight, which in turn requires yeu to have more fuel to lift that weight, which in turn adds more weight of the extra fuel... calculus can plot out exactly how much is needed. These kinds of situations DO occur in real life as well, but the vast majority of the time, being accurate within 2-3 overlaps works just as well, because most of the time yeu don't need to be accurate to 0.0001% or people die kinda stuff.
In any case, while they give yeu very precise, accurate answers to complex questions, yeu can usually get away without them and get "close enough".
Whot's 100 +10% repeating? Like 100, 110, 121, 133.1, 146.41, and after that point yeu really don't need any more in most cases. Yeu COULD use high end maths to figure it out exactly to like the 27th incarnation, but how many times do yeu NEED the 27th one?
Anyways I'm just ranting now. Rawr I shouldn't post while tired XD
But yeah, they're useful, but unless yeu're dealing with needing very large or very small numbers that are highly accurate, they're not needed and close estimates work just as well. Most things in life just flat out don't need the precision such maths provide is all. But it's nice that the stuff exists for the things that DO need that precision.
It doesn't matter if they're right. If they can't proove they're right, then they're wrong. No matter how right they may be.
ALL NEW! (As of 24th June) Demo Reel: Quarter 3!
Photo album now new and improved with KITTENS!
And even more albumness since the last one's full
The full Space Monkey Mafia video (as seen in the demo reel)
Even though I use a great deal of Te, I'm not the most talented in math. It's never been my strongest subject in school. Despite this, I can wrap my head around geometry and physics based math, as long as there aren't too many unnecessary details in a word problem. I enjoy doing math problems as long as there are formulae that I can use to efficiently solve the problem. I suppose I get more focused on getting the correct answer than the actual process.
I figured trigonometry involved a lot of triangles, because tri-: three & gon-: angle. Wasn't sure though.
How does music theory use trigonometry, besides the way the sound vibrates and travels? Is it useful for figuring out key signatures, scales and modes, and types of harmonies?
.....can you write songs using equations?
My mind has just been blown.
Just because I'm an INFP doesn't mean I'm emo!
Going up or down 1 octave multiplies or divides the frequency by 2.
If A has a frequency of 1 then the next A is 2 and the previous A is 1/2.
E followed by D are the next most important ones.
D has a frequency of 4/3
E has a frequency of 3/2
Together the pitch adds to 2 since pitch adds multiplicatively.
Two Es create a frequency of 9/4
This is established as B but is in the next octave up. So the B in the current octave is 9/4 * 1/2 or 9/8.
This process is repeated for 12 E notes, which is roughly 7 octaves, creating C, F, and G.
These notes are special as they sound very close to the most harmonious frequencies in respect to A. They are not perfect because 12 Es is not exactly 7 octaves.
This was how the notes were originally developed. I don't know enough about music to know if they changed B,C,F and G to fit better.
Last edited by BlueGray; 05-13-2010 at 06:00 PM. Reason: Forgot most of the information, so looked it up again.
Ne > Ti > Si >> Te > Se >> Fe > Fi > Ni
5 so/sp
Chaotic Neutral/Evil
Wait so A2=450hZ, right? So A3 (1 octave up) is 900hZ and A1 is 225hZ?
Just because I'm an INFP doesn't mean I'm emo!
Quick google search came up with A4 = 440Hz.
But that is true given A2 = 450Hz.
Also, most classical pieces follow some mathematical model. These mathematical models just sound nice to the human ear.
Computers can be created to be specialized, such as with Deep Blue and chess. The human brain seems specialized for physics and the heavy use of mathematics in physics could be why humans like sounds that follow mathematical models.
Ne > Ti > Si >> Te > Se >> Fe > Fi > Ni
5 so/sp
Chaotic Neutral/Evil