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Music Theory

Intervals of an Octave

The octave is the most consonant interval. It doubles the frequency, and it is the foundation of the Western musical system: two notes an octave apart share the same name and are heard as the same note in different registers.

1. Visual shortcut: spotting a octave on the staff

Octaves are a matter of recognizing spatial patterns on the staff.

The mirror rule: an octave always changes the kind of position, like fourths and sixths.

  • If the lower note is on a line, the upper note is in a space.
  • If the lower note is in a space, the upper note is on a line.

An octave covers exactly 4 lines and 4 spaces, with six free positions between the notes. It is a wide, balanced distance. Example in treble clef: C4 (first ledger line below) and C5 (third space).

2. Reference table

The octave is usually perfect, but in advanced theory its variants are also considered:

Interval quality Half steps Harmonic classification
Diminished 8th (d8) 11 Conditional dissonance (enharmonic to a major 7th)
Perfect octave (P8) 12 Perfect consonance
Augmented 8th (A8) 13 Conditional dissonance (enharmonic to a minor 9th)

3. Identify octaves

These exercises identify perfect octaves and their variants. The note name stays the same while the register changes a lot.

4. Build octaves

A root note appears on the staff. Choose the type of octave and click the position of the second note.

5. Printable octave worksheets (PDF)

The same two skills, on paper: one sheet to identify written octaves and another to write them. Each has 42 melodic octave intervals in treble clef spread over seven staves, starting with natural, ascending notes —the perfect octaves that come out of the natural scale— and ending with sharps and flats and mixed directions. No exercise repeats the same two notes.

Identify octaves

Under each interval there is a line to write what kind of octave it is and whether it ascends or descends (P8 ↑, d8 ↓…).

Printable PDF worksheet with 42 melodic octave intervals in treble clef to identify
A4 sheet with 42 melodic octaves to identify.

Download the worksheet (PDF A4) Answers

Write octaves

The reverse exercise: the first note and the interval to form are given, and the student places the second note on the staff, with its accidental if it needs one.

Printable PDF worksheet to write 42 melodic octave intervals in treble clef
A4 sheet with 42 melodic octaves to write.

Download the worksheet (PDF A4) Answers

You may print and photocopy them freely for the classroom. Each answer sheet is the same worksheet with the answers in red, so you correct by laying one over the other. The rest —including the sheets that mix several intervals— is in interval worksheets in PDF, and if you want new sheets every time or to practice on screen choosing the intervals, in the custom interval quiz.

Music dictionary: intervals →

← Sevenths

All interval exercises →

To train your ear as well, use the reference tones of the online tuner and compare the sound of each interval with a pure tone. The online metronome helps you build sight-reading speed.

Frequently Asked Questions

How many half steps does a perfect octave have?
Exactly 12 half steps (UK: semitones). It is the interval of repetition: the same note in a different register. Two notes with the same name, 12 half steps apart, form a perfect octave.
How do you recognize an octave on the staff?
An octave covers 8 positions. Both notes have the same name, but they sit on different kinds of position (one on a line and the other in a space, or the other way around), with six positions between them. In treble clef, C4 (first ledger line below the staff) and C5 (third space) are an octave apart.
Why does the octave sound so consonant?
Because the two notes have a frequency ratio of 2:1, the simplest ratio after the unison. The octave is also the first overtone of every note: when you play C3, the strongest extra pitch it produces is C4.
What does the 8va sign mean?
The 8va sign above a note or passage means that it is played one octave higher than written. The 8vb sign (ottava bassa) below means one octave lower. Both signs avoid too many ledger lines.
What types of octaves exist?
The perfect octave (12 half steps) is the common one. The augmented octave (13 half steps, enharmonic to a minor 9th) and the diminished octave (11 half steps, enharmonic to a major 7th) are possible in theory but very rare. When an "octave" appears in analysis, it is almost always perfect.