Interval Note Calculator

Calculate the musical interval between two notes in semitones and fractions. This calculator helps musicians, music theorists, and composers determine the distance between any two notes on the chromatic scale.

How to Use the Interval Note Calculator

Using the interval note calculator is simple:

Select the first note from the dropdown menu.
Select the second note from the dropdown menu.
Click the "Calculate" button to see the interval.

The calculator will display the interval in semitones and as a fraction of an octave. You can also view a visual representation of the interval on the chromatic scale.

Formula Used

The interval between two notes is calculated using the following formula:

Interval (semitones) = (Note 2 position - Note 1 position) mod 12

Fraction of octave = Interval (semitones) / 12

Where:

Note position is the position of the note on the chromatic scale (C = 0, C# = 1, D = 2, etc.)
The mod 12 operation ensures the interval is within one octave

Worked Examples

Example 1: C to E

C is at position 0, E is at position 4.

Interval = (4 - 0) mod 12 = 4 semitones

Fraction of octave = 4/12 ≈ 0.333 or a major third

Example 2: F# to Bb

F# is at position 6, Bb is at position 10.

Interval = (10 - 6) mod 12 = 4 semitones

Fraction of octave = 4/12 ≈ 0.333 or a major third

Example 3: G to G

G is at position 7.

Interval = (7 - 7) mod 12 = 0 semitones

Fraction of octave = 0/12 = 0 or a unison

Frequently Asked Questions

What is a musical interval?

A musical interval is the distance between two notes. It can be measured in semitones or as a fraction of an octave. Common intervals include unison, minor second, major second, minor third, and so on.

How do I read the interval results?

The calculator shows the interval in semitones (0-11) and as a fraction of an octave (0-1). For example, 4 semitones is equivalent to 1/3 of an octave, which is a major third.

Can I calculate intervals between notes in different octaves?

Yes, the calculator automatically adjusts for octave differences by using the mod 12 operation. For example, the interval between C4 and C5 is the same as between C and C, which is a unison.