Intervalo em cents
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
1200·log₂(f2/f1)
About this calculator
The Interval in Cents calculator is a useful tool for musicians and music enthusiasts who want to calculate the distance between two frequencies in cents, a unit of measurement used to express musical intervals. The formula used is based on the base-2 logarithm of the ratio of the two frequencies, multiplied by 1200.
The formula cents = 1200·log₂(f2/f1) is derived from music theory and allows users to calculate the distance between two tones on a logarithmic scale. This is especially useful for understanding the structure of intervals and harmonies in music.
The Interval in Cents calculator is useful in various situations, such as analyzing music recordings, tuning musical instruments, and creating new sounds. However, it's essential to be careful with units of measurement and ensure that frequencies are entered correctly.
It's worth noting that human perception of musical intervals can vary depending on context and culture. Additionally, the calculator assumes that frequencies are pure and do not contain harmonics or other components that may affect interval perception.
Frequently asked questions
What is a cent in music?
A cent is a unit of measurement used to express musical intervals, equivalent to 1/100 of a semitone.
How does the formula cents = 1200·log₂(f2/f1) work?
The formula calculates the distance between two frequencies in cents, based on the base-2 logarithm of the ratio of the frequencies.
What are the limitations of the Interval in Cents calculator?
The calculator assumes that frequencies are pure and do not contain harmonics or other components that may affect interval perception.
How can I use the Interval in Cents calculator in practice?
The calculator can be used to analyze music recordings, tune musical instruments, and create new sounds.
Is the Interval in Cents calculator accurate?
The accuracy of the calculator depends on the accuracy of the entered frequencies and the formula used.