"mathematics of music" book?

View: New views
17 Messages — Rating Filter:   Alert me  

"mathematics of music" book?

by Danijel Domazet-2 :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Hi music-dsp,
I'd like to learn about mathematics of music. Could someone please
recommend a book on this? Focus should be on the math, not on the whole
music theory, if possible...  

Cheers!
 

Danijel Domazet
CEO
www.LittleEndian.com

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Victor Lazzarini :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

I like this one:

http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html

Victor

On 15 Sep 2009, at 12:26, Danijel Domazet wrote:

> Hi music-dsp,
> I'd like to learn about mathematics of music. Could someone please
> recommend a book on this? Focus should be on the math, not on the  
> whole
> music theory, if possible...
>
> Cheers!
>
>
> Danijel Domazet
> CEO
> www.LittleEndian.com
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book  
> reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Andy Farnell :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message


I found Dave Bensons book interesting.

http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html

Of course if you're serious a classic like Moore is the thing

http://www.amazon.com/Elements-Computer-Music-Richard-Moore/dp/0132525526

For cheap and cheerful you can get oldies like Elmore and Heald or
Olson in Dover for pennies these days.

http://www.amazon.com/Music-Physics-Engineering-Harry-Olson/dp/0486217698

Bear in mind that if you really want to understand the 'math' of music
you will have to stray beyond 'math books' into the realms of physics
and psychology too.


On Tue, 15 Sep 2009 13:26:08 +0200
Danijel Domazet <Danijel.Domazet@...> wrote:

> Hi music-dsp,
> I'd like to learn about mathematics of music. Could someone please
> recommend a book on this? Focus should be on the math, not on the whole
> music theory, if possible...  
>
> Cheers!
>  
>
> Danijel Domazet
> CEO
> www.LittleEndian.com
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp 
> http://music.columbia.edu/mailman/listinfo/music-dsp
--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Victor Lazzarini :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Olson... the first book in the area I ever set my eyes on! Thanks
for reminding me of it...

Victor
On 15 Sep 2009, at 12:46, Andy Farnell wrote:

>
> I found Dave Bensons book interesting.
>
> http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html
>
> Of course if you're serious a classic like Moore is the thing
>
> http://www.amazon.com/Elements-Computer-Music-Richard-Moore/dp/0132525526
>
> For cheap and cheerful you can get oldies like Elmore and Heald or
> Olson in Dover for pennies these days.
>
> http://www.amazon.com/Music-Physics-Engineering-Harry-Olson/dp/0486217698
>
> Bear in mind that if you really want to understand the 'math' of music
> you will have to stray beyond 'math books' into the realms of physics
> and psychology too.
>
>
> On Tue, 15 Sep 2009 13:26:08 +0200
> Danijel Domazet <Danijel.Domazet@...> wrote:
>
>> Hi music-dsp,
>> I'd like to learn about mathematics of music. Could someone please
>> recommend a book on this? Focus should be on the math, not on the  
>> whole
>> music theory, if possible...
>>
>> Cheers!
>>
>>
>> Danijel Domazet
>> CEO
>> www.LittleEndian.com
>>
>> --
>> dupswapdrop -- the music-dsp mailing list and website:
>> subscription info, FAQ, source code archive, list archive, book  
>> reviews, dsp links
>> http://music.columbia.edu/cmc/music-dsp
>> http://music.columbia.edu/mailman/listinfo/music-dsp
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book  
> reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Michael Gogins-2 :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Also, to clarify, do you mean the mathematics of sounds or the
mathematics of scores and notes? The latter is what is discussed in
The Topos of Music.

Regards,
Mike

On 9/15/09, Victor Lazzarini <Victor.Lazzarini@...> wrote:

> Olson... the first book in the area I ever set my eyes on! Thanks
> for reminding me of it...
>
> Victor
> On 15 Sep 2009, at 12:46, Andy Farnell wrote:
>
>>
>> I found Dave Bensons book interesting.
>>
>> http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html
>>
>> Of course if you're serious a classic like Moore is the thing
>>
>> http://www.amazon.com/Elements-Computer-Music-Richard-Moore/dp/0132525526
>>
>> For cheap and cheerful you can get oldies like Elmore and Heald or
>> Olson in Dover for pennies these days.
>>
>> http://www.amazon.com/Music-Physics-Engineering-Harry-Olson/dp/0486217698
>>
>> Bear in mind that if you really want to understand the 'math' of music
>> you will have to stray beyond 'math books' into the realms of physics
>> and psychology too.
>>
>>
>> On Tue, 15 Sep 2009 13:26:08 +0200
>> Danijel Domazet <Danijel.Domazet@...> wrote:
>>
>>> Hi music-dsp,
>>> I'd like to learn about mathematics of music. Could someone please
>>> recommend a book on this? Focus should be on the math, not on the
>>> whole
>>> music theory, if possible...
>>>
>>> Cheers!
>>>
>>>
>>> Danijel Domazet
>>> CEO
>>> www.LittleEndian.com
>>>
>>> --
>>> dupswapdrop -- the music-dsp mailing list and website:
>>> subscription info, FAQ, source code archive, list archive, book
>>> reviews, dsp links
>>> http://music.columbia.edu/cmc/music-dsp
>>> http://music.columbia.edu/mailman/listinfo/music-dsp
>> --
>> dupswapdrop -- the music-dsp mailing list and website:
>> subscription info, FAQ, source code archive, list archive, book
>> reviews, dsp links
>> http://music.columbia.edu/cmc/music-dsp
>> http://music.columbia.edu/mailman/listinfo/music-dsp
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book reviews, dsp
> links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp
>


--
Michael Gogins
Irreducible Productions
http://www.michael-gogins.com
Michael dot Gogins at gmail dot com
--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Danijel Domazet-2 :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Michael,
I mean the mathematics of sounds.

For example: I am trying to build a simple "harmonizer", and - I'd like
to understand what it means to "harmonize a melody to a 4th and a 7th".
Where do I shift my frequencies!!? Things like that.


Thanks,

Danijel Domazet
CEO
www.LittleEndian.com



Michael Gogins wrote:

> Also, to clarify, do you mean the mathematics of sounds or the
> mathematics of scores and notes? The latter is what is discussed in
> The Topos of Music.
>
> Regards,
> Mike
>
> On 9/15/09, Victor Lazzarini <Victor.Lazzarini@...> wrote:
>  
>> Olson... the first book in the area I ever set my eyes on! Thanks
>> for reminding me of it...
>>
>> Victor
>> On 15 Sep 2009, at 12:46, Andy Farnell wrote:
>>
>>    
>>> I found Dave Bensons book interesting.
>>>
>>> http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html
>>>
>>> Of course if you're serious a classic like Moore is the thing
>>>
>>> http://www.amazon.com/Elements-Computer-Music-Richard-Moore/dp/0132525526
>>>
>>> For cheap and cheerful you can get oldies like Elmore and Heald or
>>> Olson in Dover for pennies these days.
>>>
>>> http://www.amazon.com/Music-Physics-Engineering-Harry-Olson/dp/0486217698
>>>
>>> Bear in mind that if you really want to understand the 'math' of music
>>> you will have to stray beyond 'math books' into the realms of physics
>>> and psychology too.
>>>
>>>
>>> On Tue, 15 Sep 2009 13:26:08 +0200
>>> Danijel Domazet <Danijel.Domazet@...> wrote:
>>>
>>>      
>>>> Hi music-dsp,
>>>> I'd like to learn about mathematics of music. Could someone please
>>>> recommend a book on this? Focus should be on the math, not on the
>>>> whole
>>>> music theory, if possible...
>>>>
>>>> Cheers!
>>>>
>>>>
>>>> Danijel Domazet
>>>> CEO
>>>> www.LittleEndian.com
>>>>
>>>> --
>>>> dupswapdrop -- the music-dsp mailing list and website:
>>>> subscription info, FAQ, source code archive, list archive, book
>>>> reviews, dsp links
>>>> http://music.columbia.edu/cmc/music-dsp
>>>> http://music.columbia.edu/mailman/listinfo/music-dsp
>>>>        
>>> --
>>> dupswapdrop -- the music-dsp mailing list and website:
>>> subscription info, FAQ, source code archive, list archive, book
>>> reviews, dsp links
>>> http://music.columbia.edu/cmc/music-dsp
>>> http://music.columbia.edu/mailman/listinfo/music-dsp
>>>      
>> --
>> dupswapdrop -- the music-dsp mailing list and website:
>> subscription info, FAQ, source code archive, list archive, book reviews, dsp
>> links
>> http://music.columbia.edu/cmc/music-dsp
>> http://music.columbia.edu/mailman/listinfo/music-dsp
>>
>>    
>
>
>  
--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by douglas repetto-2 :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message


Great suggestions so far! Just a reminder that we have lots of book
reviews by list members on the music-dsp website:

http://music.columbia.edu/cmc/music-dsp


If you'd like to contribute something please let me know!

douglas

Danijel Domazet wrote:

> Hi music-dsp,
> I'd like to learn about mathematics of music. Could someone please
> recommend a book on this? Focus should be on the math, not on the whole
> music theory, if possible...  
>
> Cheers!
>  
>
> Danijel Domazet
> CEO
> www.LittleEndian.com
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp 
> http://music.columbia.edu/mailman/listinfo/music-dsp
>

--
............................................... http://artbots.org
.....douglas.....irving........................ http://dorkbot.org
.......................... http://music.columbia.edu/cmc/music-dsp
.......... repetto............. http://music.columbia.edu/organism
........................................ http://douglasrepetto.org

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Michael Gogins-2 :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Don't expect this to be small, quick, or easy.

This is an extremely deep field with over 200 years of work from world
class thinkers such as Fourier, Helmholtz, and Gabor. It overlaps with
extensive, very well funded cutting edge, secret research on signal
processing for military and spy purposes.

_A Computer Music Tutorial_ has an out of date but useful
introduction. Gareth Loy has two books, one on sounds and one on
notes, MusiMathathics I and II, that may be useful. Many computer
music people start with Ken Steiglitz' _A DSP Primer_. There are
numerous graduate texts on digital signal processing, either in
general or focused on audio and music.

You would be well advised to do your reading in tandem with a signal
processing language. DSP researchers use MatLab, Octave can also be
used. If you have Mathematica, that is an excellent tool because you
can hear any function or graph. Music researchers use any or all of
these as well as Csound, Pure Data, or other programmable software
synthesizers.

The author of Pure Data, Miller Puckette, has an online book that
provides a pretty basic introduction that could nevertheless be useful
because you can play with the examples in PD and hear everything, at
http://crca.ucsd.edu/~msp/techniques.htm.

_The Csound Book_ actually covers a lot of the same ground in a
scattered sort of way, but also with useful examples.

Hope this helps,
Mike

On 9/15/09, Danijel Domazet <Danijel.Domazet@...> wrote:

> Michael,
> I mean the mathematics of sounds.
>
> For example: I am trying to build a simple "harmonizer", and - I'd like
> to understand what it means to "harmonize a melody to a 4th and a 7th".
> Where do I shift my frequencies!!? Things like that.
>
>
> Thanks,
>
> Danijel Domazet
> CEO
> www.LittleEndian.com
>
>
>
> Michael Gogins wrote:
>> Also, to clarify, do you mean the mathematics of sounds or the
>> mathematics of scores and notes? The latter is what is discussed in
>> The Topos of Music.
>>
>> Regards,
>> Mike
>>
>> On 9/15/09, Victor Lazzarini <Victor.Lazzarini@...> wrote:
>>
>>> Olson... the first book in the area I ever set my eyes on! Thanks
>>> for reminding me of it...
>>>
>>> Victor
>>> On 15 Sep 2009, at 12:46, Andy Farnell wrote:
>>>
>>>
>>>> I found Dave Bensons book interesting.
>>>>
>>>> http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html
>>>>
>>>> Of course if you're serious a classic like Moore is the thing
>>>>
>>>> http://www.amazon.com/Elements-Computer-Music-Richard-Moore/dp/0132525526
>>>>
>>>> For cheap and cheerful you can get oldies like Elmore and Heald or
>>>> Olson in Dover for pennies these days.
>>>>
>>>> http://www.amazon.com/Music-Physics-Engineering-Harry-Olson/dp/0486217698
>>>>
>>>> Bear in mind that if you really want to understand the 'math' of music
>>>> you will have to stray beyond 'math books' into the realms of physics
>>>> and psychology too.
>>>>
>>>>
>>>> On Tue, 15 Sep 2009 13:26:08 +0200
>>>> Danijel Domazet <Danijel.Domazet@...> wrote:
>>>>
>>>>
>>>>> Hi music-dsp,
>>>>> I'd like to learn about mathematics of music. Could someone please
>>>>> recommend a book on this? Focus should be on the math, not on the
>>>>> whole
>>>>> music theory, if possible...
>>>>>
>>>>> Cheers!
>>>>>
>>>>>
>>>>> Danijel Domazet
>>>>> CEO
>>>>> www.LittleEndian.com
>>>>>
>>>>> --
>>>>> dupswapdrop -- the music-dsp mailing list and website:
>>>>> subscription info, FAQ, source code archive, list archive, book
>>>>> reviews, dsp links
>>>>> http://music.columbia.edu/cmc/music-dsp
>>>>> http://music.columbia.edu/mailman/listinfo/music-dsp
>>>>>
>>>> --
>>>> dupswapdrop -- the music-dsp mailing list and website:
>>>> subscription info, FAQ, source code archive, list archive, book
>>>> reviews, dsp links
>>>> http://music.columbia.edu/cmc/music-dsp
>>>> http://music.columbia.edu/mailman/listinfo/music-dsp
>>>>
>>> --
>>> dupswapdrop -- the music-dsp mailing list and website:
>>> subscription info, FAQ, source code archive, list archive, book reviews,
>>> dsp
>>> links
>>> http://music.columbia.edu/cmc/music-dsp
>>> http://music.columbia.edu/mailman/listinfo/music-dsp
>>>
>>>
>>
>>
>>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book reviews, dsp
> links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp
>


--
Michael Gogins
Irreducible Productions
http://www.michael-gogins.com
Michael dot Gogins at gmail dot com
--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Richard Dobson :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Danijel Domazet wrote:
> Michael,
> I mean the mathematics of sounds.
>
> For example: I am trying to build a simple "harmonizer", and - I'd like
> to understand what it means to "harmonize a melody to a 4th and a 7th".
> Where do I shift my frequencies!!? Things like that.
>

Well, that is 10% maths and 90% music theory. "a 7th" is for example
insufficient - could be a major or minor 7th (and there are other more
exotic possibilities). Those numbers are not really mathematical, but
simple counting - the written distance on the music staff from one note
to another. Thus C up to F# is an "augmented fourth" since C up to F is
a 4th, then stretched a bit; while C up to Gb (identical sound in equal
temperament, same keys on the piano) is a "diminished 5th", since C up
to G is a 5th; then shrunk a little bit. There is no audible difference;
a neutral description is "a tritone".

To get numbers for a harmonizer, you need to look up 12-tone Equal
Temperament (for which the web is more than sufficient), and work out
how to increment frequency in ET semitones.  For a simple harmonizer you
would offer a range over some number of semitones, the intervals being
fixed; at a further level you ask for a key or tonic and transpose
diatonically according to the steps of the scale; at a further level
still you might offer tunings in different temperaments such as
Pythagorean or Just (etc), and quarter-tone or finer intervals. And so on.

Richard Dobson




--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by robert bristow-johnson :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message


On Sep 15, 2009, at 10:13 AM, Danijel Domazet wrote:

> Michael,
> I mean the mathematics of sounds.
>
> For example: I am trying to build a simple "harmonizer", and - I'd  
> like
> to understand what it means to "harmonize a melody to a 4th and a  
> 7th".
> Where do I shift my frequencies!!? Things like that.
>
>
> Thanks,
>
> Danijel Domazet
> CEO
> www.LittleEndian.com

you have a very cool domain name.  very creative.

and politically correct (i can say that as a former big-endian, Mot  
partisan and intel detractor).

i would recommend Gereth's Musimathics (both volumes), if you want a  
book in print.  it will set you back about US$170.  i dunno the other  
books.

there's a book that Alex Case did recently on effects that can give  
you an idea about what some effects are.

if you're unfamiliar with the traditional diatonic scales and the 12  
note per octave equally-tempered scale, i know there are books about  
that, too, but i dunno who they are.  i would only say that if your  
understanding is at that remedial level, you have a way to climb  
before implementing a harmonizer, whether it be  
"intelligent" (changes the interval according to the incoming pitch)  
or not.  not meaning to discourage, just to let you know that there  
will be other technical issues to solve long after you understand  
where to shift your frequencies (based on a given interval).

keep a line on this mailing list and maybe the comp.dsp newsgroup and  
ask questions.  i think you'll learn just as much as you will from  
the books.

goud luk.

--

r b-j                  rbj@...

"Imagination is more important than knowledge."




--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Martin Eisenberg :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Does anyone know a current URL for Rocchesso's Introduction to
Sound Processing? The link reachable from his homepage at Verona
doesn't work for me.


Martin

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Richard Dobson :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Martin Eisenberg wrote:
> Does anyone know a current URL for Rocchesso's Introduction to
> Sound Processing? The link reachable from his homepage at Verona
> doesn't work for me.
>
>
This one works (I have just downloaded the file):

http://profs.sci.univr.it/~rocchess/SP/sp.pdf


Richard Dobson

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Martin Eisenberg :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Richard Dobson wrote:

> http://profs.sci.univr.it/~rocchess/SP/sp.pdf

Thanks, Richard!


Martin

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Jerry-40 :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

As long as we're throwing out titles, how about

DAFX: Digital Audio Effects, edited by Zölzer, and
Digital Audio Signal Processing, also by Zölzer

Jerry

On Sep 15, 2009, at 4:26 AM, Danijel Domazet wrote:

> Hi music-dsp,
> I'd like to learn about mathematics of music. Could someone please
> recommend a book on this? Focus should be on the math, not on the  
> whole
> music theory, if possible...
>
> Cheers!
>
>
> Danijel Domazet
> CEO
> www.LittleEndian.com
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book  
> reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp
>

--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Andrew C. Smith :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

> To get numbers for a harmonizer, you need to look up 12-tone Equal
> Temperament (for which the web is more than sufficient), and work out
> how to increment frequency in ET semitones.

Not to pick a fight, but in order to create a harmonizer you really do
need to understand the sensation of tone. For this, check out "On the
Sensation of Tone" by Helmholtz. It's a mix of history (not
"traditional" music theory) and science, but it will definitely help
you in your quest for a harmonizer.

Andrew

On Wed, Sep 16, 2009 at 11:29 PM, Jerry <lanceboyle@...> wrote:

> As long as we're throwing out titles, how about
>
> DAFX: Digital Audio Effects, edited by Zölzer, and
> Digital Audio Signal Processing, also by Zölzer
>
> Jerry
>
> On Sep 15, 2009, at 4:26 AM, Danijel Domazet wrote:
>
>> Hi music-dsp,
>> I'd like to learn about mathematics of music. Could someone please
>> recommend a book on this? Focus should be on the math, not on the
>> whole
>> music theory, if possible...
>>
>> Cheers!
>>
>>
>> Danijel Domazet
>> CEO
>> www.LittleEndian.com
>>
>> --
>> dupswapdrop -- the music-dsp mailing list and website:
>> subscription info, FAQ, source code archive, list archive, book
>> reviews, dsp links
>> http://music.columbia.edu/cmc/music-dsp
>> http://music.columbia.edu/mailman/listinfo/music-dsp
>>
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp
>
--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Danijel Domazet-2 :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Great suggestions!
I think I will go for Gareth's "Musimathics".


Thank you all for help... thank you, big rbj :)...

Danijel Domazet
CEO
www.LittleEndian.com



robert bristow-johnson wrote:

> On Sep 15, 2009, at 10:13 AM, Danijel Domazet wrote:
>
>  
>> Michael,
>> I mean the mathematics of sounds.
>>
>> For example: I am trying to build a simple "harmonizer", and - I'd  
>> like
>> to understand what it means to "harmonize a melody to a 4th and a  
>> 7th".
>> Where do I shift my frequencies!!? Things like that.
>>
>>
>> Thanks,
>>
>> Danijel Domazet
>> CEO
>> www.LittleEndian.com
>>    
>
> you have a very cool domain name.  very creative.
>
> and politically correct (i can say that as a former big-endian, Mot  
> partisan and intel detractor).
>
> i would recommend Gereth's Musimathics (both volumes), if you want a  
> book in print.  it will set you back about US$170.  i dunno the other  
> books.
>
> there's a book that Alex Case did recently on effects that can give  
> you an idea about what some effects are.
>
> if you're unfamiliar with the traditional diatonic scales and the 12  
> note per octave equally-tempered scale, i know there are books about  
> that, too, but i dunno who they are.  i would only say that if your  
> understanding is at that remedial level, you have a way to climb  
> before implementing a harmonizer, whether it be  
> "intelligent" (changes the interval according to the incoming pitch)  
> or not.  not meaning to discourage, just to let you know that there  
> will be other technical issues to solve long after you understand  
> where to shift your frequencies (based on a given interval).
>
> keep a line on this mailing list and maybe the comp.dsp newsgroup and  
> ask questions.  i think you'll learn just as much as you will from  
> the books.
>
> goud luk.
>
> --
>
> r b-j                  rbj@...
>
> "Imagination is more important than knowledge."
>
>
>
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp 
> http://music.columbia.edu/mailman/listinfo/music-dsp
>  
--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp

Re: "mathematics of music" book?

by Chuckk Hubbard :: Rate this Message:

Reply to Author | View Threaded | Show Only this Message

Any book with Wendy Carlos, Harry Partch, and Adriaan Fokker is fine with me.

For psychology I enjoyed Meyer's 'Emotion and Meaning in Music'.

-Chuckk

On Tue, Sep 15, 2009 at 2:31 PM, Victor Lazzarini
<Victor.Lazzarini@...> wrote:

> I like this one:
>
> http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html
>
> Victor
>
> On 15 Sep 2009, at 12:26, Danijel Domazet wrote:
>
>> Hi music-dsp,
>> I'd like to learn about mathematics of music. Could someone please
>> recommend a book on this? Focus should be on the math, not on the
>> whole
>> music theory, if possible...
>>
>> Cheers!
>>
>>
>> Danijel Domazet
>> CEO
>> www.LittleEndian.com
>>
>> --
>> dupswapdrop -- the music-dsp mailing list and website:
>> subscription info, FAQ, source code archive, list archive, book
>> reviews, dsp links
>> http://music.columbia.edu/cmc/music-dsp
>> http://music.columbia.edu/mailman/listinfo/music-dsp
>
> --
> dupswapdrop -- the music-dsp mailing list and website:
> subscription info, FAQ, source code archive, list archive, book reviews, dsp links
> http://music.columbia.edu/cmc/music-dsp
> http://music.columbia.edu/mailman/listinfo/music-dsp
>



--
http://www.badmuthahubbard.com
--
dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive, list archive, book reviews, dsp links
http://music.columbia.edu/cmc/music-dsp 
http://music.columbia.edu/mailman/listinfo/music-dsp