Music Theoryafter A. Danhauser
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II.6Part II, Scales and Intervals

Interval Qualities

This lesson shows you which qualities each interval can take: diminished, minor, major, perfect or augmented.

6 min8 questionsDanhauser § 86 and 87, note (g)

Two intervals with the same name aren't necessarily the same size. From C to E is a third. From C# to E, or from C# to Eb, is still a third, since each one spans three letter names. Yet listen: these three thirds don't sound alike, because the actual distance is different.

major thirdminor thirddiminished third
Three thirds: the same number of degrees, three different sizes.

To state the exact size, we add a quality to the interval's name: diminished, minor, major, perfect or augmented.

Table of qualities

IntervalPossible qualities
Seconddiminished, minor, major, augmented
Thirddiminished, minor, major, augmented
Fourthdiminished, perfect, augmented
Fifthdiminished, perfect, augmented
Sixthdiminished, minor, major, augmented
Seventhdiminished, minor, major, augmented
Octavediminished, perfect, augmented
Fourths, fifths and octaves are “perfect”, and the others are minor or major.

Look at the table and you'll see two families. Fourths, fifths and octaves have a “perfect” form, flanked by diminished and augmented. Seconds, thirds, sixths and sevenths have two central forms, minor and major, also flanked by diminished and augmented.

Once in a while, you'll meet even smaller or larger intervals. A doubly diminished interval is one chromatic half step smaller than the diminished one, and a doubly augmented interval is one chromatic half step larger than the augmented one. They only arise from chromatic notes.

WorkshopInterval CalculatorFull screen
Choose two notes and watch how the quality changes when you add a sharp or a flat.
Lower note
Mode
Upper note
C4G4harmonic
inverted
Perfect fifth
Steps
5 letter names, from C4 to G4
Make-up
3 whole steps and 1 diatonic half step
Half steps
7 half steps on a keyboard
Inversion
perfect fourth
Type
perfect consonance
Exercisein the method's spirit

From memory, write out the table of qualities that belong to each interval, from the second to the octave.

You now know the names of the qualities. In the next lesson, let's see exactly how each one is built from whole steps and half steps.

Check your understanding

8 questions
1.
Which qualities can a fifth have?
2.
Which of these intervals can be perfect?
3.
C-E and C#-E are both called thirds because:
4.
Which qualities can a sixth have?
5.
For the theorists Danhauser mentions in note (g), a “minor fourth” is our:
6.
An interval one chromatic half step smaller than a diminished interval is called:
7.
How many simple intervals, from the second to the octave, have a perfect form?
8.
Put these in order from smallest to largest: major third, diminished third, minor third.

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