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Reverse Interva Calculator

Reviewed by Calculator Editorial Team

A reverse interval is a musical interval that is the inversion of a standard interval. This calculator helps determine the original interval from a given reverse interval, providing both the interval name and its semitone count.

What is a Reverse Interval?

A reverse interval occurs when the higher note of a standard interval is played first, followed by the lower note. For example, a major third (4 semitones) becomes a minor sixth (9 semitones) when reversed.

Reverse intervals are commonly used in music theory to analyze chord inversions, voice leading, and harmonic progressions. Understanding reverse intervals helps musicians and composers create more complex and interesting musical passages.

How to Calculate Reverse Interval

To calculate a reverse interval, follow these steps:

  1. Identify the standard interval you want to reverse.
  2. Count the number of semitones between the two notes of the standard interval.
  3. Subtract the semitone count from 12 to find the reverse interval's semitone count.
  4. Determine the name of the reverse interval based on its semitone count.

For example, reversing a major third (4 semitones) gives a minor sixth (9 semitones).

Formula

Reverse Interval Semitones = 12 - Standard Interval Semitones

Where:

  • Standard Interval Semitones = Number of semitones between the two notes of the standard interval
  • Reverse Interval Semitones = Number of semitones between the two notes of the reverse interval

The formula calculates the reverse interval by subtracting the standard interval's semitone count from 12. This gives the semitone count for the reverse interval, which can then be matched to the appropriate interval name.

Example Calculation

Example 1: Reversing a Major Third

Standard Interval: Major Third (4 semitones)

Calculation: 12 - 4 = 8 semitones

Reverse Interval: Minor Sixth (8 semitones)

Example 2: Reversing a Perfect Fifth

Standard Interval: Perfect Fifth (7 semitones)

Calculation: 12 - 7 = 5 semitones

Reverse Interval: Major Second (5 semitones)

These examples demonstrate how the reverse interval calculator works in practice. By following the formula and understanding the relationship between standard and reverse intervals, you can easily determine the reverse interval for any given standard interval.

FAQ

What is the difference between a standard interval and a reverse interval?
A standard interval is played with the lower note first, while a reverse interval is played with the higher note first. The reverse interval is essentially the inversion of the standard interval.
How do I know if an interval is reversed?
An interval is reversed if the higher note is played first, followed by the lower note. This creates a different harmonic effect compared to the standard interval.
Can I use this calculator for any type of interval?
Yes, this calculator can be used for any type of interval, including major, minor, perfect, and augmented/diminished intervals.
What is the maximum number of semitones for a reverse interval?
The maximum number of semitones for a reverse interval is 11, which occurs when reversing a minor second (1 semitone).
How can I use reverse intervals in my music?
Reverse intervals can be used to create more complex and interesting musical passages, analyze chord inversions, and explore voice leading techniques in music composition.