# 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.

## Learn more

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

Hey there! Here are some awesome videos about this science project that we think you'll really like. They're not only super fun, but they'll also help you learn more about the science behind the project. So sit back, relax, and get ready to have some fun!!

Discover the intriguing connection between math and music, as Eugenia Cheng, mathematician and concert pianist, delves into the fascinating story of how mathematicians' advancements in calculating the 12th root of two enabled Bach to write music in every key. Prepare to be awed by the intricate relationship between these two seemingly unrelated disciplines.

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