Music Theoryafter A. Danhauser
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IV.5Part IV, Meter and Rhythm

Compound Meters

After this lesson, you'll recognize the twelve compound meters and write their time signatures, and you'll understand why the bottom number stands for one third of a beat.

8 min8 questionsDanhauser § 194 to 198

A compound meter is one in which each beat is always worth a dotted value: a dotted whole note, a dotted half note, a dotted quarter note or a dotted eighth note. Each beat therefore divides by three, so these are compound beats.

What the two numbers tell you

Here is the twist: a dotted value can't be written as a single number. That is why, in compound meters, the bottom number shows the value that fills one third of a beat. It can only be 2, 4, 8 or 16:

Bottom numberIt stands forOne third of a beat worth
2a half notea dotted whole note
4a quarter notea dotted half note
8an eighth notea dotted quarter note
16a sixteenth notea dotted eighth note

The top number shows how many thirds of a beat fill the measure. Since these meters only have two, three or four beats, it can only be 6 for two beats, 9 for three beats or 12 for four beats.

Take 12/4 as an example. The whole measure needs twelve quarters of a whole note, that is, twelve quarter notes. Since each quarter note is one third of a beat, the meter has four beats, and each beat is filled by three quarter notes, which make a dotted half note.

Table of the twelve compound meters

Value of one beat2 beats3 beats4 beats
a dotted whole note6/2 (six-two)9/2 (nine-two)12/2 (twelve-two)
a dotted half note6/49/412/4
a dotted quarter note6/89/812/8
a dotted eighth note6/16 (six-sixteen)9/16 (nine-sixteen)12/16 (twelve-sixteen)
The twelve compound meters, as listed in § 197.

The most common ones

The ones you'll meet most have a dotted quarter note per beat: 6/8, 9/8 and 12/8. Others, such as 6/4, are also used now and then.

Sheet Music= 666/8: 2 beats9/8: 3 beats12/8: 4 beats
The three most common compound meters, with a dotted quarter note, that is, three eighth notes, per beat.
Sheet Music= 506/4: 2 beats, a dotted half note per beat
A compound meter in 6/4.
WorkshopMetersFull screen
Listen to 6/8 in two, then to 9/8 and 12/8.
Meter
6/8: compound meter
Beats per measure
2 beats
Beat unit
dotted quarter note
Beat division
triple: 3 eighth notes per beat
Reading the numbers
6 = number of beat-thirds; 8 = the eighth note, one third of a beat
Corresponding meter
2/4 (simple: top ÷3, bottom ÷2)
Strong beats
beat 1 strong, beat 2 weak
Sheet Music
Measure 1: one sound per beat. Measure 2: each beat divided.
1
2
Exercisein the method's spirit

Write the time signatures for these fragments, which are all in compound meter.

Sheet Musicabc

Check your understanding

8 questions
1.
In a compound meter, each beat is worth:
2.
In a compound meter, the bottom number stands for:
3.
How many beats does a measure of 9/8 have?
4.
What is the value of one beat in 6/4?
5.
Which top numbers can a compound meter have?
6.
How many beats do you conduct in 12/8 at a moderate tempo?
7.
What is the meter of this example?
Sheet Music
8.
In 6/16, what is one beat worth?

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