If you invert a major pentatonic scale from its tonic, the result is a major pentatonic with a tonic pitch a major third lower.
To be more precise: the result is another pentatonic set a major 3rd lower but the intervals are inverted.
Major pentatonic -- M2 M2 m3 M2 m3 -- Ascending
from C -- C D E G A C --C major pentatonic.
to invert we use the same intervals descending:
from C -- C Bb Ab F Eb C
If we rearrange these pitches to start on Ab, you'll see that we have an Ab major pentatonic scale:
Ab Bb C Eb F Ab
I used this material for the canon today -- the common tone of C is used as the tonic.
(click on image to enlarge)
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