Category Archives for Math
Intervals
An interval of space is a length. An interval of time is a duration. An interval of pitch in Western music theory is rather unimaginatively called an “interval.” Intervals are a way to compare the “space” between two notes. Let’s … Continue reading
A Single Note
What is a note? A note is actually a multidimensional thing. It has both pitch and duration. It’s like how a vector has direction, and magnitude. The magnitude might be zero, but it’s there. In the case of a … Continue reading
First Prismatic Landscape Mural
Just completed a painting. It’s a mural about eleven feet tall and twenty something feet long. I haven’t measured the length. It just looks about twice as long as the height. It’s a landscape. Or it’s not. Whichever’s funnier. Acrylic … Continue reading
Expressing Sounds with Color
I’ve got this idea, but I’m not exactly sure of how to pull it off logistically. I want to turn the sound of two instruments playing single notes simultaneously into a visual landscape, and I want to build it out … Continue reading
Y u no…?
Damn you chain rule!
sin b/ tan b = cos by
This is math and art…kinda. right? The expression on his face is priceless. So there’s this… Trigonometric identity: sin x = tan x cos x Therefore, sin x = tan x cos x which means… sin x = … Continue reading
Songs I Can Do…expressed as sets :o
Recently I got out the old guitar, for singin’ with, and went over some old tunes I used to know. As I dusted off the cob webs I found more little jewels I used to own<?>. Anyway, here’s a running … Continue reading
How to prove the quadratic formula, by completing the square
You may be familiar with completing the square. If so, skip down a bit till you see a blue word. To prove the quadratic equation by completing the square, we must first know how to complete the square. Consider (x … Continue reading
Art, Math, Music: Connected~ Who knew!? This guy.
Turns out this Benno Moiseiwitsch guy was pretty amazing. This is his explication on why art, math, and music are all actually the same thing. Very interesting stuff.
A Brief History of Infinity – A Paradox
A good little read. This book taught me a lot of things about set theory and Georg Cantor. It also taught me about a very interesting paradox within set theory, that was identified by Bertrand Russell. It goes something like this. … Continue reading