Today a friend of mine who is very interested in music and composes own progressive metal/rock songs visited me. We started discussing some music theory and trying to define basic concepts, like notes. I think the problem I had understanding this in school was that it was never described in a physical/scientific way, but more of in a “here’s a bunch of concepts that we’ll be using but never define; just accept it” sort of way, like so often happens in school.
Anyhow, lacking Math lab or a similar program I started using SketchUp to visualize frequencies as points along a line and graphically compare their differences. Then I also used SketchUp to play notes, and experimenting what it would sounds like if you divide an octave not into 12 half-tones, but into any other number of them.
Here’s the code (Windows only!) and the output sound. Sorry for mixing Swedish and English!
Gem.install('win32-sound') require 'win32/sound' grundton = 440 notes_per_octave = 12 # Change this number for other note "bases". notes_per_octave.times do |n| f = 2 ** (Math.log2(grundton) + n.to_f / notes_per_octave) p f Win32::Sound.beep(f, 500) end
Though no one had used SketchUp for this before .