Inverted Interval Calculator

An inverted interval calculator helps musicians and music theorists determine the inversion of a given musical interval. This tool is essential for understanding harmonic relationships, chord construction, and voice leading in music composition.

What is an Inverted Interval?

In music theory, an interval is the distance between two pitches. An inverted interval is created by reversing the order of the pitches that form the interval. This process is fundamental in understanding harmonic relationships and constructing chords.

For example, a major third (C to E) becomes a minor sixth (E to C) when inverted. This concept is crucial in music composition, particularly in the construction of chords and understanding harmonic progressions.

Inversion changes the quality of the interval. A major interval becomes minor, and vice versa, while perfect intervals remain the same.

How to Invert an Interval

Inverting an interval involves reversing the order of the two notes that form the interval. Here's a step-by-step guide:

Identify the two notes that form the interval.
Reverse their order to create the inverted interval.
Determine the new interval quality based on the inversion rules.

Inversion formula: If the original interval is (x, y), the inverted interval is (y, x).

For example, inverting a perfect fifth (G to D) results in a perfect fourth (D to G).

Interval Inversion Examples

Here are some examples of interval inversion:

Original Interval	Inverted Interval	Quality Change
Major Third (C to E)	Minor Sixth (E to C)	Major to Minor
Perfect Fifth (G to D)	Perfect Fourth (D to G)	No Change
Minor Seventh (A to G)	Major Second (G to A)	Minor to Major

Common Inverted Intervals

Here are some common intervals and their inversions:

Major Second → Minor Seventh
Minor Third → Major Sixth
Perfect Fourth → Perfect Fifth
Augmented Fourth → Diminished Fifth
Diminished Fifth → Augmented Fourth

FAQ

What is the difference between an interval and an inverted interval?

An interval is the distance between two pitches in ascending order. An inverted interval is the same distance but in descending order, which can change the interval's quality.

How does inverting an interval affect chord construction?

Inverting intervals helps in creating different voicings of chords, which can affect the harmonic color and texture of the music.

Can inverting an interval change the interval's size?

No, inverting an interval does not change its size; it only changes the order of the pitches and sometimes the interval's quality.