You invert an interval when you flip the interval upside down. The inversion can be formed in two ways:
1. The sum of the sizes of the two intervals is 9.
2. The qualities of the interval and its inversion follow these rules:
In the major scale, all intervals ascending from the tonic are perfect or
major.
All intervals descending from the tonic are perfect or minor.
In the natural minor scale, all ascending intervals from the tonic are perfect
or minor, except for the major second between the tonic and supertonic..
All intervals descending from the tonic are perfect or major, except between
the tonic and supertonic.
In the harmonic minor scale, ascending intervals from the tonic follow this
pattern. It's the same as natural minor except for the altered leading tone.
All intervals descending from the tonic follow this pattern. It's the same
as natural minor except for the altered leading tone.
In the melodic minor scale, ascending intervals from the tonic follow this
pattern. It's the same as natural minor except for the altered submediant
and leading tone.
All intervals descending from the tonic follow this pattern. It's the same
as natural minor.
You should be able to answer questions like this:
In C Harmonic minor what is the interval formed between the mediant up to the leading tone?
Augmented fifth.
Revised by John Ellinger, Spring 2012.