Discussion of the theory behind the Zelda music, which heavily incorporates the “Golden Ratio.” Although the article doesn’t mention it, this isn’t particularly novel. Composers like Bela Bartok used math principles like the Golden Ratio and the Fibonacci Series all the time in creating their music. Good stuff.
Interesting visualization of Coltrane’s Giant Steps, one of the more complex sets of changes amongst jazz standards. This shows, though, that it’s actually just layers of simplicity. The chords from three different ii-V-I patterns (a.k.a. “the turnaround,” and the most common progression in jazz) are combined to create the trinity of tonal centers in the tune. In that way, it’s like a standard 12-bar blues. The hard part of playing Giant Steps is really not the changes themselves — it’s how fast they go by in the first eight bars. And while I’m writing way too much about this little link, allow me to point out that much of the “Giant Steps” sound (and the Coltrane sound in general) is achieved by way of chord voicing. Make ‘em tall, and open ‘em up into quartal (rather than triadic) voicings, and you’ll be well on your way.