Musical Note Ratio Calculator

Formula

To calculate the ratio between two musical notes (\(R\)):

\[ R = \frac{f_1}{f_2} \]

Where:

\(R\) is the ratio between the two frequencies
\(f_1\) is the frequency of the first note (Hz)
\(f_2\) is the frequency of the second note (Hz)

What is a Musical Note Ratio?

A musical note ratio compares the frequencies of two musical notes. This ratio helps in understanding the harmonic relationship between the notes. In music theory, certain ratios are considered consonant and pleasing to the ear, such as:

Octave: \(2:1\)
Perfect Fifth: \(3:2\)
Perfect Fourth: \(4:3\)

These ratios are fundamental in the construction of musical scales and chords.

Example Calculation 1

Let's assume the following values:

Frequency of First Note (\(f_1\)) = 440 Hz
Frequency of Second Note (\(f_2\)) = 220 Hz

Using the formula:

\[ R = \frac{440}{220} = 2 \]

The ratio is 2:1, which is an octave.

Example Calculation 2

Let's assume the following values:

Frequency of First Note (\(f_1\)) = 660 Hz
Frequency of Second Note (\(f_2\)) = 440 Hz

Using the formula:

\[ R = \frac{660}{440} = 1.5 \]

The ratio is 3:2, which is a perfect fifth.