Topmusicanswers
Both Pythagoras and Ptolemy believed that the intervals between notes in music should be ratios of small integer numbers. This is known as Just Intonation. Pythagoras liked them to derived from octaves (2:1) and perfect fifths (3:2), which is 3-limit tuning.
- How does the Pythagorean theorem relate to music?
- Did Pythagoras create musical scales?
- What is the Pythagorean musical scale?
- How do you find the Pythagorean tuning fraction?
How does the Pythagorean theorem relate to music?
Pythagoras declared these relationships as absolute intervals of music. ... Pythagoras is attributed with discovering that a string exactly half the length of another will play a pitch that is exactly an octave higher when struck or plucked. Split a string into thirds and you raise the pitch an octave and a fifth.
Did Pythagoras create musical scales?
Around 500 BC Pythagoras studied the musical scale and the ratios between the lengths of vibrating strings needed to produce them.
What is the Pythagorean musical scale?
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. ... The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1).
How do you find the Pythagorean tuning fraction?
Scale Construction
From a C, we will build a major scale according to the Pythagorean tuning. We first calculate the fifth by multiplying the frequency of C by 3/2 (fifth size): To multiply a number by a fraction we multiply by the numerator (top number) and then divide by the denominator (bottom number).
