Many DAWs have the option to "quantize" a set of notes. What does it do?
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Quantization aligns (or "snaps") the MIDI data (usually musical notes) to the tempo (or subdivisions, thereof) of the composition. You can think of it as an automatic "clean-up" for MIDI data that was close to exact, but not quite exact.
It will often have configurable options, such as quantize to 1/4 notes, 1/8 notes, 1/16 notes, etc... (subdivisions of the project tempo).
I'll quote Wikipedia's article, because they put it well:
I use an analogy to illustrate what quantization is.
Imagine that a beat is like the rung of a ladder. An entire ladder with sixteen rungs is like a measure with sixteen notes.
While climbing the ladder, your foot can aim for any rung or land anywhere near a rung, but it will always end up exactly on a rung.
Quantization is the process that pushes your foot to one rung or the other.
Does this make sense?