Note and Rest Values

Written music needed a way to show how long each sound or silence lasts without locking it to actual seconds, since the same piece can be played fast or slow. The fix is a system built on halving. A whole note divides into two half notes, each half note divides into two quarter notes, each quarter into two eighths, each eighth into two sixteenths, and so on. Every note value has a matching rest value with the same duration but silence instead of sound. Because the whole system is just repeated halving, any note value translates cleanly into any smaller one by doubling, which makes the math predictable even when rhythms get complex.

A dot after a note adds half the note's own value to itself. A dotted half note equals a half note (two quarters, or four sixteenths worth of quarter beats) plus half of that half note's value, giving it a total length of three quarter notes, which is twelve sixteenth notes. That three-against-the-usual-two-or-four pattern is exactly why dotted values show up constantly in real rhythms: they let a single note cover a span that a plain note value can't.

None of this tells you how many seconds a note lasts until a tempo marking enters the picture, which is where this topic connects to meter and expressive markings later in the unit. The note values only set proportions relative to each other; the tempo marking assigns an actual speed to one of those values, and everything else follows from that.