Music Theoryafter A. Danhauser
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I.13Part I, The Signs of Notation

The Dot and the Double Dot

After this lesson, you'll know how to work out the length of any note or rest that carries a dot, or even two.

8 min8 questionsDanhauser § 46 to 53

The secondary signs

As you know, note values divide durations by two, into halves, then quarters, then eighths, and smaller still. But these values alone cannot produce every combination of durations. That's why musicians devised secondary signs (§ 46): the dot and the double dot, the triplet, and the tie. Let's start with the dot.

The dot

The dot is placed after a note, and it adds half of the note's original value. Take a half note, or minim: it's worth two quarter notes, or crotchets. With a dot, it gains one more quarter note, so it's worth three quarter notes.

Sheet Music= 80halfquarterdotted half
A half note followed by a quarter note lasts as long as a dotted half note: the two measures take the same time.

Thanks to the dot, you get durations worth three quarters of the next larger value. The dotted half note, for example, is worth three quarter notes, which is three quarters of a whole note (§ 48).

Dotted noteequals
Dotted whole note3 half notes
Dotted half note3 quarter notes
Dotted quarter note3 eighth notes
Dotted eighth note3 sixteenth notes
Dotted sixteenth note3 32nd notes
Dotted 32nd note3 64th notes
Table of dotted note values (§ 49).
Sheet Music= 76
Listen to a dotted half note, a dotted quarter note and a dotted eighth note. Dotted rhythms have a typical “limping” lilt.

The dot after a rest

Now that you know the dot after a note, the dot after a rest will be easy. It works the same way: it lengthens the rest by half (§ 50).

Dotted restequals
Dotted whole rest1 whole rest and 1 half rest
Dotted half rest1 half rest and 1 quarter rest
Dotted eighth rest1 eighth rest and 1 sixteenth rest
Dotted sixteenth rest1 sixteenth rest and 1 32nd rest
Dotted 32nd rest1 32nd rest and 1 64th rest
Table of dotted rests (§ 51).
Sheet Music= 80
Here you have a dotted half rest, a dotted quarter rest and a dotted eighth rest.

The double dot

You can also place two dots after a note or a rest. The second dot adds half the value of the first dot, which is a quarter of the original value (§ 52). So a double-dotted half note lasts as long as a half note, plus a quarter note, plus an eighth note: seven eighth notes in all.

Sheet Music= 72
First a double-dotted half note followed by an eighth note, then a double-dotted quarter note followed by a sixteenth note.

With the double dot, you get durations worth seven eighths of the next larger value: the double-dotted half note is worth seven eighths of a whole note (§ 53).

WorkshopDuration CalculatorFull screen
Choose a note value and add one or two dots to see its length.
Modifier
Value
Dotted half note
In quarter notes
3 quarter notes
In whole notes
3/4 of a whole note
Breakdown
Half note + Quarter note
Sheet Music= 66
In one measure of 4/4 (the rest is filled with rests).
Exercisein the method's spirit

Give the value of each dotted note in terms of undotted notes: dotted half note, dotted eighth note, dotted 32nd note.

Exercisein the method's spirit

Give the value of each double-dotted note: double-dotted half note, double-dotted quarter note, double-dotted eighth note.

The dot always lengthens a value. In the next lesson, you'll discover the triplet, which divides a value into three. For now, try the quiz.

Check your understanding

8 questions
1.
A dot increases the value of a note by:
2.
A dotted quarter note equals:
3.
A double-dotted half note equals:
4.
How many sixteenth notes are in a dotted eighth note?
5.
A dotted half rest equals:
6.
A dotted half note is what fraction of a whole note?
7.
How long is this measure in total, counted in eighth notes?
Sheet Music
8.
The second dot is worth:

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