In a word: ratios. Each note is in a ratio to each other note being
played, either after, while, or after it is being played. It's called
the harmonic or overtone series, and if you've ever looked at a
half-way decent brass instrument method/tutor, you'll have seen it in
all its glory. The nicer-sounding ratios are the ones usually used -
the octaves, the fifths, the fourths and the thirds. The others, the
sixths, the sevenths and the seconds, tend to clash more and/or add a
mournful tone to the music.
https://www.howmusicreallyworks.com/Pages_Chapter_3/3_2.html
Chapter 3:
How Tones and Overtones REALLY Work
gives a non-technical but mathematically sound description: table 4 is
worth its weight in platinum.
Wesley Parish
On 3/21/20, Larry McVoy <lm(a)mcvoy.com> wrote:
On Fri, Mar 20, 2020 at 10:08:50AM -0400, Richard Salz
wrote:
A cool thing about tools is that you never know
how it will be used.
Bach's prelude in C major from Well-Tempered Clavier book I, written in
pure (GNU) sed:
https://github.com/laserbat/bach.sed
If someone understands how this all works, my less capable brain would
love an explanation. My dad and my kid have told me that classical
music is math but I've never seen it. Seems like this is probably
the example I need.