To invert an interval, place the lowest note an octave higher or the highest note an octave lower:


In this case, a major third becomes a minor sixth. If we invert the interval of the sixth, we have a third again.

In the following tables you can see how an interval is transformed when it is inverted:

2nd 7th
3rd 6th
4th 5th
Interval quality
major minor
augmented diminished
perfect perfect

Inversion of intervals is very useful for analyzing sixths and sevenths. See Identifying Intervals by Using Inversions.

Examples of interval inversions:

See Intervals in the Tutorials section.

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José Rodríguez Alvira.