MUIC & ACOUTIC – MUIC THEORY & HARMONY CALCULATOR
Interval Semitones
A precise tool.
What is the Interval Semitones & How does it work?
In music theory, an interval is the difference in pitch between two sounds. Intervals can be measured in semitones, where one semitone is the smallest unit of pitch in Western music.
The formula to calculate the number of semitones in a given interval depends on the type of scale and tuning system used. For example, in equal temperament tuning, the frequency ratio between two notes separated by one semitone is (2^{frac{1}{12}}).
semitones = 12 times log_2left(frac{f_2}{f_1}right)
semitones = number of semitones between two frequencies f_1 and f_2
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Result
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Frequently Asked Questions
How do I calculate the number of semitones between two notes?
Use the formula: semitones = 12 × log₂(f₂/f₁), where f₂ is the higher frequency and f₁ is the lower frequency.
What is a semitone in music theory?
A semitone is the smallest unit of pitch in Western music, equivalent to one half step on a piano.
How does equal temperament tuning affect semitones?
In equal temperament tuning, the frequency ratio between two notes separated by one semitone is 2^(1/12).
Can this calculator be used for any type of scale?
This calculator assumes an equal temperament scale. For other scales, different formulas may apply.
What is the significance of semitones in music composition?
Semitones are fundamental in creating melodies and harmonies, allowing for precise control over pitch intervals.
How do I input frequencies into the calculator?
Enter the frequencies of the two notes you want to compare into the designated fields.
What is the output of this calculator?
The calculator outputs the number of semitones between the two input frequencies.
Results are for informational purposes only and do not constitute professional advice.