 # Music Math: Playing Notes with Equations

Hard Music and math have a lot in common. In this project, you will explore the mathematical relation between music notes and equations to create beautiful music. You will use a monochord, a single string with one fixed bridge and a movable fret, to measure the frequency of the notes. You will then use mathematical equations to calculate the length of the string for each note.

## Hypothesis

The hypothesis is that different lengths of a 60cm string, where the fret is placed, will produce speculated notes and will fit in a mathematical equation.

## Method & Materials

You will use a monochord, a single string with one fixed bridge and a movable fret, to measure the frequency of the notes. You will then use mathematical equations to calculate the length of the string for each note.
You will need a monochord, a single string with one fixed bridge and a movable fret, a CBL, a microphone, a calculator, the program SOUND and FREQ, and an intellitouch tuner.

## Results

The results of this project showed that music and math have a lot in common. It was found that the string length for each note, in any given octave, fits in a geometric sequence. It was also found that two notes that are one octave apart, the string lengths are in a ratio of 1:1/2. The note sol, in all the octaves is 2/3 of the length of the string.

## Why do this project?

This science project is interesting and unique because it shows the mathematical relation between music notes and equations.

## Also Consider

Experiment variations to consider include using different musical instruments and exploring different mathematical equations.

## Full project details

You can find additional information and details for this science fair project here. Have fun exploring!