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OT: struggle with frequency calculations
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moudi



Joined: Oct 07, 2006
Posts: 58
Location: Bern Switzerland
PostPosted: Sun Feb 10, 2008 6:59 am    Post subject: OT: struggle with frequency calculations Reply with quote  Mark this post and the followings unread
hi dear chuckists

i recently started to learn a bit more of the mathematical backgrounds behind music. (the inital point was that Inventor mentioned those Musimathics books which i'm reading at the moment. great hint btw).

unfortunately, i'm already confused after the first three chapters Confused
in chapter 3.1 they show how to calculate semitones.
when i try to calculate the fifth in chuck wiith the mentioned formula, i get the right frequency. below chuck code shows the calculation of the ratio:
Code:
//Calculate the Ratio of the fifth
<<<Math.pow(2.0,7.0/12)>>>;


but in 3.3.3 they wrote that you can multiply the base frequency with a ratio of 3/2 to get the fifth. this ratio of 3/2 comes from the definition here in the book:

f= frequency
2f = 1st octave
3f = ocatve + fifth
4f = 2nd octave

according this definition you can define 3/2 as the ratio for the fifth and 4/3 as the ratio of the fourth.
however, when i try to calculate the frequency this way, i get a slightly different result.
so what the heck am i thinking wrong Question Mad

a confused novice
/moudi
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Blue Hell
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PostPosted: Sun Feb 10, 2008 7:26 am    Post subject: Reply with quote  Mark this post and the followings unread
Welcome to the wonder world of tuning Very Happy

The first expression is according to the twelve tone equal tempered scale (as used on a piano), which gives an approximation for the pure fifth from the 2nd expression.

We have a complete subsection for these kind of phenomena : http://electro-music.com/forum/forum-147.html

And Carlo collects links for the subject : http://electro-music.com/forum/links.php?id=31
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Jan
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Kassen
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PostPosted: Sun Feb 10, 2008 7:30 am    Post subject: Reply with quote  Mark this post and the followings unread
I'm not sure I understand the question 100% but could you be running into this?
http://en.wikipedia.org/wiki/Pythagorean_comma

A friendly warning; tunings and experiments with them are lots of fun but also a excellent way to drive yourself insane.

Oh, I just see Jan beat me to a reply but I'll post anyway for the different angle.
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Blue Hell
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PostPosted: Sun Feb 10, 2008 8:01 am    Post subject: Reply with quote  Mark this post and the followings unread
Kassen wrote:
A friendly warning; tunings and experiments with them are lots of fun but also a excellent way to drive yourself insane.


Or into a Pythagorean coma Rolling Eyes
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moudi



Joined: Oct 07, 2006
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PostPosted: Sun Feb 10, 2008 8:58 am    Post subject: Reply with quote  Mark this post and the followings unread
BlueHell wrote:
The first expression is according to the twelve tone equal tempered scale (as used on a piano), which gives an approximation for the pure fifth from the 2nd expression.

Kassen wrote:
I'm not sure I understand the question 100% but could you be running into this?
http://en.wikipedia.org/wiki/Pythagorean_comma

you both hit the bull's eye with the first shot Cool

Kassen wrote:
A friendly warning; tunings and experiments with them are lots of fun but also a excellent way to drive yourself insane.

too late, already addicted Razz

also good to know that there exists a subsection for these kind of things.

thanks to both for your replies.
/moudi
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renderful



Joined: Apr 18, 2007
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PostPosted: Sun Feb 10, 2008 9:39 pm    Post subject: Reply with quote  Mark this post and the followings unread
Thanks for pointing out the Musimathics books!
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moudi



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PostPosted: Tue Feb 12, 2008 9:09 am    Post subject: Reply with quote  Mark this post and the followings unread
renderful wrote:
Thanks for pointing out the Musimathics books!

yep, they're just great! I can really recommend them.
thanks to inventor for mention them.
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Inventor



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PostPosted: Wed Feb 13, 2008 4:02 am    Post subject: Reply with quote  Mark this post and the followings unread
cool moudi, glad i could help in some way. After the recent treatment I've gotten from the web, it's nice to hear somebody say something nice for a change, lol!
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Kassen
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PostPosted: Thu Feb 14, 2008 8:05 am    Post subject: Reply with quote  Mark this post and the followings unread
Inventor wrote:
After the recent treatment I've gotten from the web, it's nice to hear somebody say something nice for a change, lol!


*hug*
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Inventor



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PostPosted: Thu Feb 14, 2008 8:11 am    Post subject: Reply with quote  Mark this post and the followings unread
ty for hugh, Usenet can be cruel!
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Kassen
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PostPosted: Thu Feb 14, 2008 8:48 am    Post subject: Reply with quote  Mark this post and the followings unread
http://www.urbandictionary.com/define.php?term=hugh

Usually urbandictionary helps me out with terms like that but I'm still lost.

Never got the hang of usenet...
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PostPosted: Thu Feb 14, 2008 8:54 am    Post subject: Reply with quote  Mark this post and the followings unread
i'm so tired this morning that i misspelled hug! hugh = hug! haha!
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Kassen
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PostPosted: Thu Feb 14, 2008 9:42 am    Post subject: Reply with quote  Mark this post and the followings unread
Ha ha ha ha!

That's halfway across the keyboard! :¬)
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