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:
| Interval | ||
|---|---|---|
| 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.








See Intervals in the Tutorials section.