KVR Audio

Tricky-Loops · Post by **Tricky-Loops** » Fri Mar 29, 2013 6:55 pm

Has anyone made a song with this theory?:shock:

I'm sure it would sound extremely dissonant. Especially because the difference (in Hz) between the individual notes isn't exactly the same...

And between B/C and E/F there's even only a semi tone...

Gamma-UT · Post by **Gamma-UT** » Fri Mar 29, 2013 7:22 pm

Tricky-Loops wrote:Has anyone made a song with this theory?:shock:

I'm sure it would sound extremely dissonant. Especially because the difference (in Hz) between the individual notes isn't exactly the same...

And between B/C and E/F there's even only a semi tone...

Um, yes they probably have. I overcame my laziness and checked where that note falls (at least roughly). Now I feel blue...

(Technically, the E is wrong but I doubt that's stopped anyone.)

schnapsglas · Post by **schnapsglas** » Fri Mar 29, 2013 7:26 pm

JumpingJackFlash wrote:
schnapsglas wrote:not sure if we can bring any "musical results" to the table with this method.
No, you won't.
Music isn't an exact science. It is what it is because it evolved that way. Trying to shove a load of mathematics onto it is largely futile and will lead to erroneous conclusions at best.

Erroneous conclusions when equal temperament is that way because we couldn't do any better?

I don't know why people, when they say music is not exact science, yet when someone tries to put their own angle on it, they are dissmisive.

Tricky-Loops · Post by **Tricky-Loops** » Fri Mar 29, 2013 7:37 pm

I've found an interesting PDF-book about music and mathematic. Maybe someone has more time than I have, and likes to read it...

http://www.math.wustl.edu/~wright/Math109/00Book.pdf

schnapsglas · Post by **schnapsglas** » Fri Mar 29, 2013 7:41 pm

The standard book seems to be the Loy-Chowning series:

http://www.amazon.com/Musimathics-Mathe ... usimathics

Whenever I had a look at it, I found it rather pedestrian, but that's just me. There is this book that goes into probability but I sense a lot of hand-waving:

http://www.amazon.com/Music-Probability ... 0262515199

Then there is Puckette book which is more "hands-on," actually dealing with makings of sounds and etc.

http://www.amazon.com/The-Theory-Techni ... s=puckette

Loy-Chowning's volume 2 is somewhat similar to this.

schnapsglas · Post by **schnapsglas** » Fri Mar 29, 2013 7:48 pm

Tricky-Loops wrote:I've found an interesting PDF-book about music and mathematic. Maybe someone has more time than I have, and likes to read it...

http://www.math.wustl.edu/~wright/Math109/00Book.pdf

Well-ordering on page 2?

It caught me off guard!

Tricky-Loops · Post by **Tricky-Loops** » Fri Mar 29, 2013 7:56 pm

schnapsglas wrote:
Tricky-Loops wrote:I've found an interesting PDF-book about music and mathematic. Maybe someone has more time than I have, and likes to read it...

http://www.math.wustl.edu/~wright/Math109/00Book.pdf
Well-ordering on page 2? It caught me off guard!

?? Page 2 is blank, what do you mean? The book is from the Department of Mathematic of Washington University...

schnapsglas · Post by **schnapsglas** » Fri Mar 29, 2013 7:59 pm

Tricky-Loops wrote:
schnapsglas wrote:
Tricky-Loops wrote:I've found an interesting PDF-book about music and mathematic. Maybe someone has more time than I have, and likes to read it...

http://www.math.wustl.edu/~wright/Math109/00Book.pdf
Well-ordering on page 2? It caught me off guard!
?? Page 2 is blank, what do you mean? The book is from the Department of Mathematic of Washington University...

Page 2 of the book, which is page 16 on the PDF document.

It looks like a book for mathematicians rather than musicians. It's too hard, it's getting to quotients using equivalence relation by page 80, and by chapter 8 a unique factorization domain.

I mean, one of the exercise is that

Code: Select all

Exercise 7.7: "Suppose G is a group and g ∈ G. Show that there is a unique group homomorphism ϕ : Z → G such that ϕ(1) = g".

This is a deep fact, and way way too much.

Musicologo · Post by **Musicologo** » Sat Mar 30, 2013 1:12 am

http://homepages.abdn.ac.uk/mth192/page ... music.html

Perhaps this one is more accessible. For free the pdf.

schnapsglas · Post by **schnapsglas** » Sat Mar 30, 2013 1:17 am

Yeah, that one does look... although you do have to do Fourier series here very early (as it contains synthesis) and group theory in the last chapter, including Burnside's lemma. Good to know. This one does seem more accessible, and probably more appropriate for the KVR audience. Have to warn about large presence of calculus, by Dirac delta function it is very close to mentioning what measure is.

But I do recommend Puckette's book for someone who is looking to specialize in digital audio and synthesis. The book discussed here is a good compromise between music theory using mathematics and mathematics used in synthesis and other applications in audio.

BERFAB · Post by **BERFAB** » Sat Mar 30, 2013 4:18 am

Gamma-UT wrote:
Tricky-Loops wrote:Has anyone made a song with this theory?:shock:

I'm sure it would sound extremely dissonant. Especially because the difference (in Hz) between the individual notes isn't exactly the same...

And between B/C and E/F there's even only a semi tone...
Um, yes they probably have. I overcame my laziness and checked where that note falls (at least roughly). Now I feel blue...

(Technically, the E is wrong but I doubt that's stopped anyone.)

Didn't BT do something along those lines on This Binary Universe? Not really sure what the golden ratio is, but it sure sounds interesting:

Cheers
-B

A mathematical idea i guess?