Interval Inversions

When we refer to inversions in music, we are talking about flipping them or inverting them.  In other words, we will take notes that went up (melodically), and make them go down, or vice-versa.

An interval inversion occurs when we flip an interval.  We will switch the relationship between the two notes, making the bottom note the top note, and the top note the bottom note.  For example:
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The 2nd measure is an inversion of the first measure (the C goes from being above the F, to below the F).

Labeling Interval Inversions

Once we know the quality and distance of the original interval, it is very easy to determine the quality and distance of it's inversion.  Yes we can go through the entire process again once have flipped the interval, but there is an easier way.

Distance: 9 - x = inversion
To determine the distance of the inversion, take the original distance and subtract it from 9.  This will determine the distance of the inverted interval.  For example:
The inverted distance of a 3rd, would be a 6th (9 - 3 = 6).  The inversion of a perfect 4th, would be a perfect 5th (9 - 4 = 5).

Quality: Reversing pairs
To determine the quality you must remember the following pairs.  Once inverted, they will switch.
  • Major <-> Minor
  • Diminished <-> Augmented
  • Perfect <-> Perfect
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a Major 3rd (M3), inverted becomes a Minor 6th (m6)
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An augmented 4th (A4), inverted becomes an diminished 5th (d5).
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A Perfect 5th (P5) inverted becomes a Perfect 4th (P4)
To practice, download the following worksheet.  

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