Music is the art of organizing time
Strip everything else away and a piece of music is a stack of decisions about when. When the kick lands, when the chord changes, when the section turns, when the air moves. Music is the art of organizing slices of time, and the strange, beautiful part is that this is true at every zoom level at once: the slices just get faster and faster until, at the bottom of the ladder, they stop being rhythm and become the notes themselves.
Hear rhythm become pitch
Press Hear it with the slider at the left. You get clicks: a rhythm, something you could tap along to. Now drag right, slowly, and pay attention to the moment you stop being able to count:
Somewhere around twenty clicks per second something gives. Your ear stops reporting events and starts reporting a tone. Keep dragging and the tone rises like any other note; park at 110 and you are hearing A1, built out of nothing but the rhythm you were tapping a moment ago.
The border in your ear
Here is what did not change during that sweep: anything about the click. The demo plays one recorded click in a loop, and the slider only changes how often it repeats. The whole difference between rhythm and pitch, in that demo and in general, is speed.
Below roughly twenty events per second, you experience time slices as rhythm: countable, tappable, the territory of the beat. Above it, the same slices fuse into pitch. A note is a rhythm too fast to count, and frequency in hertz is just "events per second" wearing a lab coat; the 220 back-and-forths from What is a note are a drum roll your ear gave up counting. Composers have known this border is fake for a while. Stockhausen wrote a whole essay on rhythm and pitch being one continuum, and then built pieces where one melts into the other.
The zoom lens
Once you see the border dissolve, the whole of music turns into one ladder of time scales, and everything this site teaches lives on a rung of it:
- Form: slices minutes long. Intro, drop, verse, chorus.
- Phrases: slices a few seconds long, the sentences of a melody.
- Beats and bars: slices around half a second, set by the tempo. This is where the grid lives.
- Subdivisions: tenths of a second, where groove and swing happen.
- Pitch: slices measured in milliseconds, fused by the ear into notes.
- Timbre: structure finer still, the shape inside each single cycle.
Composing, arranging, sequencing, sound design: same job, different zoom. And look back at the-piano-roll with this in mind. The horizontal axis is time you can count. The vertical axis is time too fast to count. The map's two directions are secretly one direction, drawn at two speeds.
In your music
If you produce electronic music, you have crossed this border with your own hands, whether or not anyone said so out loud:
- Take a tempo-synced LFO wobbling a filter at 1/16th notes and sweep its rate up into the audible range: the wobble becomes a tone riding your sound. That is FM synthesis, and it is the demo above wearing a modular patch.
- Shorten a delay below about 50 milliseconds and it stops echoing and starts ringing at a pitch. The arithmetic is right on the surface: a 2 ms delay repeats 500 times a second, so it rings near B4. One over the delay time is the note.
- Granular synthesis is this article made literal: chop time into slices and reorganize them. Slow, it's texture; fast, it's tone. (The deep book on this ladder is Curtis Roads' Microsound, for when you want the whole tour.)
For the Max and gen~ people: this is why phasor~ is the most honest
object in the patcher. It is just a clock. Run it slow, it sequences; run
it fast, it is the oscillator. Same ramp, same math, different rung of
the ladder. Time, organized.
See also
References
- Karlheinz Stockhausen (1957). … wie die Zeit vergeht … (…How Time Passes…). die Reihe 3; English translation by Cornelius Cardew in the 1959 English edition.
- Seth Horvitz (2009). Boundaries of Perception and the Endless Struggle for Unity in the Music of Karlheinz Stockhausen.
- Curtis Roads (2001). Microsound. MIT Press.