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Volume I · Chapter 2

Rhythmic Architecture

MUSIC 20A · C-ID MUS 120Chapter quiz →

In the musicianship bookChapter 1: The Major Scale and the BeatChapter 4: The Dominant and Compound MeterChapter 9: Faster Reading and the Sixteenth Note

Introduction: The Canvas of Time

In the last chapter, we mapped the physical space of sound with the staff, clefs, and ledger lines. But pitch alone isn't music. A chord held forever is a drone, and a melody without rhythm is just a list of notes. If the staff is our map of pitch, rhythm is the engine that moves us through it. To write effective, playable parts, we have to understand how to organize and divide time.

Click any example to hear it. Keep a steady beat going with your foot as you listen.

Note Values and Rests

Rhythmic notation is built on halving. Each note value lasts exactly twice as long as the next one down. A note's appearance tells you its value: whether the notehead is open or filled, whether it has a stem, and how many flags (or beams) it has. Every note value has a matching rest: a symbol for silence of the same length.

NoteRestLength in 4/4 (quarter-note beats)Looks like
Whole noteWhole rest4Open notehead, no stem. The whole rest hangs below a line.
Half noteHalf rest2Open notehead with a stem. The half rest sits on top of a line.
Quarter noteQuarter rest1Filled notehead with a stem
Eighth noteEighth rest½Filled, with one flag (or one beam)
Sixteenth noteSixteenth rest¼Filled, with two flags (or two beams)
Example 2.1. One whole note equals two halves, four quarters, or eight eighths. Each bar here lasts the same amount of time.
Example 2.2. The matching rests, from whole rest to eighth rest. (A whole rest also fills any complete empty measure, whatever the meter.)

Dots and Ties

A dot after a note adds half of the note's own value. A dotted half note lasts 2 + 1 = 3 beats; a dotted quarter lasts 1 + ½ = 1½ beats. Dots work the same way on rests.

A tie is a curved line joining two notes of the same pitch. The second note is not played again: its value is added to the first. Ties let a note last across a bar line, or create lengths no single note value can show.

Don't confuse a tie with a slur, which looks similar but joins different pitches and means "play these smoothly, without separation."

141&31341
Example 2.3. A dotted half (3 beats), a dotted quarter (1½ beats), and a half note tied to a quarter (3 beats in all).

The Mechanics of the Beat

At the foundation of all rhythm is the beat (or pulse): the steady heartbeat of the music, the thing you tap your foot to. We group beats into measures (or bars), separated by vertical bar lines. A double bar with a thick final line marks the end of a piece.

The time signature at the beginning of the music tells us how the beats are organized. Not all beats are equal: the first beat of every measure, the downbeat, is the strongest. And the most fundamental divide in rhythm comes down to how a single beat splits: into two parts, or into three.

Simple vs. Compound Meter

  • Simple meter: the beat divides into two equal parts. In 4/4, you tap on each quarter note and can split each tap into two eighth notes ("1 & 2 &"). The top number tells how many beats are in a measure; the bottom number tells which note gets the beat (4 = quarter note, 2 = half note, 8 = eighth note).
  • Compound meter: the beat divides into three equal parts, giving a rolling, lilting feel. Because a plain note can only be halved, the beat itself must be a dotted note: a dotted quarter splits into three eighths. In compound meters, the top number (6, 9, or 12) counts the divisions; divide it by 3 to find the beats. 6/8 has two beats, each a dotted quarter.

Combine the two types with the number of beats per measure (two = duple, three = triple, four = quadruple) and you get the six standard meter types:

Duple (2 beats)Triple (3 beats)Quadruple (4 beats)
Simple (beat divides in 2)2/4, 2/2 ("cut time")3/4, 3/84/4 ("common time")
Compound (beat divides in 3)6/8, 6/49/812/8
1231&2&3&
Example 2.4. 3/4, simple triple: three quarter-note beats, each dividing into two eighths.
121lali2lali
Example 2.5. 6/8, compound duple: two dotted-quarter beats, each dividing into three eighths. Same six eighth notes as 3/4, completely different feel.

Counting Out Loud

Counting syllables let you say any rhythm before you play it. Speak the beat numbers on every beat, and fill the divisions with syllables:

Meter typeBeatDivisionSubdivision
Simple1  2  3  41 & 2 &1 e & a, 2 e & a
Compound1  21 la li, 2 la li1 ta la ta li ta
12&3e&4a1&3
Example 2.6. Counting a 4/4 rhythm with sixteenths and dots. Notice that the dotted eighth plus sixteenth on beat 4 is counted "4 (e &) a": the silent syllables keep your place.

Rhythmic Notation and Beaming

When you hand a part to a choir or an orchestral player, their sight-reading depends on how you format the rhythm. Beams are the thick lines that connect eighth notes and smaller values, and the golden rule of beaming is: beaming must show the beat.

  • Simple meter (4/4): beam eighths in groups of two (one beat) or four (half a measure). Never beam across the middle of the bar (between beats 2 and 3).
  • Compound meter (6/8): beam in groups of three, one group per dotted-quarter beat. Six eighths beamed in pairs look like 3/4 and will cause rehearsal errors.
Example 2.7. In 4/4, the first bar shows the beat clearly (two groups of four). The second bar beams across beats 2 and 3, hiding the middle of the measure: avoid it.
Example 2.8. In 6/8, beaming in threes (first bar) shows two beats. Beaming in pairs (second bar) makes the bar look like 3/4.

Triplets and Duplets

Sometimes a composer wants a division the meter doesn't normally use. A triplet fits three notes into the time of two (three eighths in one quarter-note beat), marked with a 3. It borrows the feel of compound meter inside a simple meter. A duplet does the reverse in compound meter: two notes in the time of three, marked with a 2.

1&2triplet3&4triplet33
Example 2.9. Eighths and eighth-note triplets alternating in 4/4.

Anacrusis: The Pickup

Many melodies begin before the first downbeat, on one or more weak beats. These lead-in notes are called an anacrusis or pickup. The pickup measure is incomplete, and by convention the final measure of the piece is shortened by the same amount, so the two together make one full measure.

412341
Example 2.10. A one-beat pickup on beat 4 leads into the first full measure. The last bar holds only three beats, completing the pickup.

Syncopation: Defying the Grid

Once the grid of the beat is established, the most effective way to create rhythmic interest is to push against it. Syncopation puts emphasis (an accent, or a long note) on a weak beat or between beats. Tying a note from the "&" of one beat into the next beat hides that beat and creates forward momentum.

In choral writing, syncopation is also how we set words naturally. Speech rarely falls neatly on strong beats, and syncopated rhythms let a melody follow the stress of spoken language.

1&(2) &(3) &(4) &123
Example 2.11. A classic syncopation: eighth, quarter, quarter, quarter, eighth. Every quarter note begins on an "&" and sustains through the beat.

Beyond Two, Three, and Four

Some meters group beats unevenly. 5/8 and 7/8 are usually felt as combinations of twos and threes (3+2, or 2+2+3), so the beats themselves are different lengths. You'll hear these meters in Balkan folk music, progressive rock, film scores, and plenty of 20th-century concert music. Beam them to show the grouping the composer intends.

Example 2.12. 5/8 grouped 3+2: a long beat followed by a short one.
Example 2.13. 7/8 grouped 2+2+3: two short beats and a long one.

Try It: Rhythm Tapper

Rhythm Tapper

Press Start. You'll hear one measure of clicks to count you in, then tap the rhythm on the big button (or the space bar) along with the clicks.

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