Musical Intervals Calculator

Musical intervals are the distances between musical notes. Understanding intervals is fundamental to music theory, helping musicians create harmonies, melodies, and chord progressions. This calculator helps you determine the distance between any two notes in semitones and cents, providing both the numerical value and a visual representation of the interval.

What is a Musical Interval?

A musical interval is the distance between two musical pitches. It's measured in semitones (half-steps) and cents (hundredths of a semitone). Intervals are the building blocks of music theory and are essential for understanding harmony, melody, and chord progressions.

Intervals are classified by their size and quality. The size refers to the number of semitones between the two notes, while the quality describes whether the interval is major, minor, perfect, or augmented/diminished.

Example: The interval between C and E is a major third, which consists of 4 semitones (C-D-E).

How to Calculate Intervals

Calculating musical intervals involves determining the number of semitones and cents between two notes. Here's a step-by-step guide:

Identify the two notes you want to compare.
Determine the number of semitones between them.
Calculate the cents by multiplying the number of semitones by 100.
Classify the interval based on its size and quality.

Formula: Interval in cents = (Number of semitones) × 100

For example, the interval between A (440 Hz) and A# (466.16 Hz) is 1 semitone, which equals 100 cents.

Common Musical Intervals

Here are some common musical intervals and their properties:

Interval Name	Semitones	Cents	Quality
Minor Second	1	100	Minor
Major Second	2	200	Major
Minor Third	3	300	Minor
Major Third	4	400	Major
Perfect Fourth	5	500	Perfect

How to Use This Calculator

Using this musical intervals 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 in semitones and cents.
Review the result and the visual representation of the interval.

Tip: If you're unsure about the interval between two notes, use this calculator to quickly find the answer.

FAQ

What is the difference between semitones and cents?: Semitones are the basic unit of musical pitch, while cents are a more precise measurement of pitch difference. One semitone equals 100 cents.
How do I classify an interval as major or minor?: Major intervals have a larger number of semitones than their minor counterparts. For example, a major third has 4 semitones, while a minor third has 3 semitones.
Can I use this calculator for microtonal music?: Yes, this calculator can handle microtonal intervals by displaying the precise number of cents between notes.
What is the smallest musical interval?: The smallest musical interval is a microtonal interval, which is smaller than a semitone and measured in cents.
How do I reset the calculator?: Click the "Reset" button to clear all inputs and results.