My attempt at understanding intervals, just intonation, commas, meantone, werckmeister III, and what not.
I've decided to put all my sources in google docs.
Victor.
microtonal utility
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- KVRist
- 350 posts since 11 May, 2008
Vic, you really should take a look at this book:
http://www.maths.abdn.ac.uk/~bensondj/h ... music.html
It's free. You can download the pdf version in the site.
"Music, a MAthematical offering" by Dave Benson.
Then read the chapter 5, scales and temperaments, and you'll have all the explanations about scales, temperaments, and also the mathematical principles to make all the calculations and functions you need to implement.
Good luck, and give feedback, I'm finding your programming work very interesting.
If you can, then keep posting the code you're writing.
http://www.maths.abdn.ac.uk/~bensondj/h ... music.html
It's free. You can download the pdf version in the site.
"Music, a MAthematical offering" by Dave Benson.
Then read the chapter 5, scales and temperaments, and you'll have all the explanations about scales, temperaments, and also the mathematical principles to make all the calculations and functions you need to implement.
Good luck, and give feedback, I'm finding your programming work very interesting.
If you can, then keep posting the code you're writing.
Play fair and square!
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- KVRAF
- Topic Starter
- 2830 posts since 2 Mar, 2003 from The only civilized county in Texas
Thanks for the pointer. I had come across the book, but had forgotten about it.Musicologo wrote:If you can, then keep posting the code you're writing.
I hope python code is usable/understandable for you? It's my favourite language at the moment.
Victor.
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- KVRist
- 149 posts since 27 Jan, 2007 from Eyeth
I remember this book, I downloaded it like 2 or 3 years ago. It's worth reading, though I find it a little dry on some points. Using lattices and periodicity blocks for explaining tunings and scales isn't necessary - explainations could be simpler, (practically) more effective and clearer for composers and musicians, without overkilling the matter. But hey, this is supposed to be for the more mathematically inclined, after all, as the title says.
Anyway, in addition, a big portion that supplements the understanding of those things is also contained in Helmholtz's old but gold classic.
Anyway, in addition, a big portion that supplements the understanding of those things is also contained in Helmholtz's old but gold classic.
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- KVRAF
- Topic Starter
- 2830 posts since 2 Mar, 2003 from The only civilized county in Texas
Ok, that book has already paid for itself. It contains a delightful 4-chord example showing that singing in just intonation will modulate up by a (syntonic) comma. That should put to rest claims of singers and string players being able to sing in tune by using just intonation.Musicologo wrote:"Music, a MAthematical offering" by Dave Benson.
My code has been updated with a better definition of the Pythagorean scale, the basics of just intonation, and more tools.
Victor.
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- KVRist
- 145 posts since 7 Apr, 2009
Hey Victor, check out a post I just made in this forum, you might find it interesting. I have a couple of free minor microtonal software tools I just made.
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- KVRAF
- Topic Starter
- 2830 posts since 2 Mar, 2003 from The only civilized county in Texas
I'll check it out.bwong wrote:Hey Victor, check out a post I just made in this forum, you might find it interesting. I have a couple of free minor microtonal software tools I just made.
But there are plenty of tools out there. I think I'm learning a lot by coding everything myself, and by making the computations explicit I think this is a very insightful tool for others too.
For instance, I've seen enough tools that tell me how many cents a comma is, but I never knew that an apotome minus a diesis is also a (syntonic) comma. By having a programming language for intervals, that sort of thing is easy to discover and verify.
Victor.
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- KVRist
- 145 posts since 7 Apr, 2009
I agree entirely, I often include full source code examples for my compositions, and of course pd patches ARE source code. You are welcome to the C++ code for ethan if you want it.VicDiesel wrote:I'll check it out.bwong wrote:Hey Victor, check out a post I just made in this forum, you might find it interesting. I have a couple of free minor microtonal software tools I just made.
But there are plenty of tools out there. I think I'm learning a lot by coding everything myself, and by making the computations explicit I think this is a very insightful tool for others too.
For instance, I've seen enough tools that tell me how many cents a comma is, but I never knew that an apotome minus a diesis is also a (syntonic) comma. By having a programming language for intervals, that sort of thing is easy to discover and verify.
Victor.
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- KVRist
- 145 posts since 7 Apr, 2009
Yeah, I do algorithmic music using Csound and Python scripting, though with Csound even a non-algorithmic piece has "source code" for the instruments and score.Varadin wrote:Source code for compositions?Algorithmic music?