AP® Music Theory · Unit 1 · Topic 1.2

Dots, Ties, and Beams

A dot adds half a note's value to itself, a tie adds two same-pitch notes' durations together, and beams group notes to show the beat. All three are ways of shaping rhythm without inventing new note symbols.

Composers need more duration options than just whole, half, quarter, and eighth notes, and dots, ties, and beams give them that flexibility without adding new symbols. A dot placed after a note adds half of that note's original value. A quarter note normally lasts one beat, so a dotted quarter lasts one beat plus half a beat, which equals one and a half beats, or three eighth notes. A second dot adds half of the value of the first dot, not half of the whole note again, so it stacks on a shrinking amount.

A tie is a curved line connecting two notes of the same pitch, and it means play that pitch once, held for the combined duration of both notes. A dotted quarter tied to an eighth note in 4/4 time lasts three eighth notes plus one more eighth note, four eighth notes total, which is exactly two full beats. Ties let rhythms cross barlines or beat divisions cleanly, something a single note symbol often cannot do on its own. Beams are the thick horizontal lines connecting eighth notes, sixteenth notes, and smaller values, replacing individual flags so the eye can quickly see how notes group within a beat.

All three tools sit right alongside the beat grid from meter: dots and ties build exact durations, beams show how those durations cluster around the beat. Once a student reads dotted and tied rhythms fluently, counting subdivisions in any meter becomes much faster, which matters directly when meter and time signatures are introduced next.

Key terms

Dot
A mark after a note that adds half of that note's value to its duration.
Tie
A curved line joining two notes of the same pitch so their durations combine into one sustained sound.
Slur
A curved line over notes of different pitches showing they should be played smoothly connected, with no durations added.
Beam
A thick horizontal line connecting the stems of eighth notes or smaller values to show beat grouping.

Watch it explained

  1. How it worksHow does a dot add half of a note's value, and what does a second dot add on top?
  2. Worked exampleFind the total duration of a dotted quarter tied to an eighth note in 4/4 time.
  3. Common mistakeWhy isn't a tie the same thing as a slur even though both are drawn as curved lines?

Check yourself

Your turn1 of 2
A dotted quarter note lasts three eighth notes' worth of time. If a dotted quarter note is tied to 3 eighth notes in a row, how many total eighth-note beats does the tied figure last?

End of topic.