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March 4th, 2014, 02:57 AM   #1
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Need help finding appropriate learning resources

Heya,

I'm new here to these forums, I just posted my "Hello" in the introductions forum. I'm looking to learn a bit of maths. I've looked through the list of online resources. I'm alread registered at Khan Academy, I know of the open university and I found the open course material on MIT. I have the books Edwards & Penny: Calculus 6e, David C. Lay: Linear Algebra 3rd edition, and a book by a dansih author called "Mathematical Analysis". So thats sort of the material I can put together.

I reckon I can do some general study of maths using the above material. Just need to figure the best way to do so.

On a more personal note I'd like to be able to analyse music, from a mathematical standpoint, in an attempt to figure what it is exactly I like about the music that I like. Second part would be to take that knowledge and create some mathematical tools that'll help me compose my own music, incorporating the things I've found. As far as this goes, I only have TTCs course "How Music and Mathematics relate", otherwise I'm lost. I have no idea where to start with this.

I'm hoping there is someone here that can help me out figuring out exactly how to start on that music/maths project.

Best regards,

Jacob Collstrup
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March 4th, 2014, 05:32 AM   #2
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Re: Need help finding appropriate learning resources

Welcome!

Quote:
Originally Posted by Daqar
I'm new here to these forums, I just posted my "Hello" in the introductions forum. I'm looking to learn a bit of maths. I've looked through the list of online resources. I'm alread registered at Khan Academy, I know of the open university and I found the open course material on MIT. I have the books Edwards & Penny: Calculus 6e, David C. Lay: Linear Algebra 3rd edition, and a book by a dansih author called "Mathematical Analysis".
That's quite a collection of material. I think it's rare to find a time that you can refer to both Khan Academy and MIT OpenCourseWare; they're usually two different ends of the spectrum.

Quote:
Originally Posted by Daqar
On a more personal note I'd like to be able to analyse music, from a mathematical standpoint, in an attempt to figure what it is exactly I like about the music that I like. Second part would be to take that knowledge and create some mathematical tools that'll help me compose my own music, incorporating the things I've found. As far as this goes, I only have TTCs course "How Music and Mathematics relate", otherwise I'm lost. I have no idea where to start with this.
This is a longtime interest of mine, albeit one I haven't worked on in years. Any idea of where you want to go with this? A classic start would be different tunings, superparticular ratios (leading to StÝrmer's theorem on the math side and harmonies on the music theory side), etc. But maybe you have different plans?
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March 4th, 2014, 05:52 AM   #3
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Re: Need help finding appropriate learning resources

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Welcome!
Thank you! =o)

Quote:
Originally Posted by CRGreathouse
This is a longtime interest of mine, albeit one I haven't worked on in years. Any idea of where you want to go with this? A classic start would be different tunings, superparticular ratios (leading to StÝrmer's theorem on the math side and harmonies on the music theory side), etc. But maybe you have different plans?
My ultimate goal with studying music from a maths perspective would be to arrive at a mathematical toolset to help me write music. To put it naÔvely: Finding my personal formula/equation for good music, and then use that formula to make even more music.

Jacob
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March 4th, 2014, 06:24 AM   #4
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Re: Need help finding appropriate learning resources

Quote:
Originally Posted by Daqar
My ultimate goal with studying music from a maths perspective would be to arrive at a mathematical toolset to help me write music. To put it naÔvely: Finding my personal formula/equation for good music, and then use that formula to make even more music.
That was a very old school project of mine. I studied mathematical (well, at the level I was at) patterns in Tchaikovsky for a science fair project when I was about 14.

Maybe start with the harmonics of chords to get an idea of why certain combinations sound good and others sound bad (in terms of the resonant frequency).
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March 4th, 2014, 02:22 PM   #5
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Re: Need help finding appropriate learning resources

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Originally Posted by CRGreathouse
Quote:
Originally Posted by Daqar
My ultimate goal with studying music from a maths perspective would be to arrive at a mathematical toolset to help me write music. To put it naÔvely: Finding my personal formula/equation for good music, and then use that formula to make even more music.
That was a very old school project of mine. I studied mathematical (well, at the level I was at) patterns in Tchaikovsky for a science fair project when I was about 14.

Maybe start with the harmonics of chords to get an idea of why certain combinations sound good and others sound bad (in terms of the resonant frequency).
I'm not sure I'm on the right track, but combining what I've learned from the "How music and maths relate"-course, I've messed around a bit on the WolframAlpha website. I tried to create what's known as a "Power chord" in rhythmic music. It's just a root note with a fifth, just the two tones together. In my homebrew example I took the root note as the 440-A from standard tuning, along with its 9 first over tones, or up to the tenth-harmonic. And then added the 5th step, with its 9 first overtones. According to what I learned, that fifth should be having a frequency that's 3/2 the original, 440.

My first question is, if my formula looks correct. I had a lot of trouble putting together the sine wave correctly, for the 440 frequency. As far as I remember there ought to be a greek letter "Pi" in there along with a division.

Best regards,

Jacob
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File Type: png WolframAlpha_440_A_PowerChord.png (29.4 KB, 50 views)
File Type: png WolframAlpha_440_A_PowerChord_Wave.png (22.6 KB, 50 views)
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March 5th, 2014, 12:47 AM   #6
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Re: Need help finding appropriate learning resources

You may like to hear some sound of sorting
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December 19th, 2014, 01:35 AM   #7
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January 2nd, 2015, 10:48 PM   #8
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You will get good guidance at some tutoring services. Search for good services to start academic life.
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