Aim: MyIA focuses mainly on, mathematics, guitars, and music theory and centers aroundthe following application: – Whatif I was in a dump yard and found an acoustic guitar without strings or frets?- Howwould I calculate the area of the guitar body without actually measuring itmanually? Background Equaltemperament Equaltempered scale is basically a common musical scale which is used for tuningmusical instruments such as guitars and pianos. This system divides an octave into12 semitones of equal sizes or intervals. Equal temperament was discovered fromthe search for an interval that would preserve the ratio 3:2 i.e. perfectfifth. This particular ratio was introduced by Pythagoras in his theory ofPythagorean tuning which states that “In a system of musical tuning thefrequency ratios of all intervals are based on the ratio 3:2”. (Schulter) This ratio whichis known as the perfect fifth was chosen as it is one of the easiest to tune bythe ear.
The equations that are considered for why the perfect fifth i.e. 3:2was chosen for tuning a guitar are as follows: