Music Interval Calculator

In Western music, pitch relationships are measured by semitones (half steps), which correspond to the distance between adjacent keys on a piano keyboard. The calculator determines the absolute distance between Note 1 and Note 2 by converting them into absolute semitone values including their octave positions: semitones = |(Note 2 + Octave 2 * 12) - (Note 1 + Octave 1 * 12)|. From this total, the tool computes whole tones by dividing semitones by two (tones = semitones / 2), separates out full octaves using integer division (octave_interv = floor(semitones / 12)), and finds the remaining fractional semitones using the modulo operator (remaining_interv = semitones % 12).

Let us find the interval between C4 (Note 1) and G4 (Note 2). On a standard chromatic scale where C is assigned a value of 0, C4 has a base value of 0 in octave 4, and G4 has a base value of 7 in octave 4. Applying our formula: semitones = |(7 + 4 * 12) - (0 + 4 * 12)| = |55 - 48| = 7 semitones. Next, we find the number of whole tones by dividing by two, giving us 3.5 tones. An interval spanning 7 semitones is classified musically as a perfect fifth, consisting of 0 full octave intervals and 7 remaining semitones.

Always account for octave numbers when inputting notes, as changing an octave dramatically alters the compound nature of an interval. Remember that enharmonic equivalents (such as C-sharp and D-flat) sound identical but may have different theoretical names depending on the key signature. Practice singing or playing the calculated interval immediately after computing it to bridge the gap between visual theory and auditory recognition.