In Pythagorean tuning, what's the frequency of the tonic of each key?

1. What key is 440 Hz?
2. How did Pythagoras measure frequency?
3. What Hz is A2?
4. How do you calculate Pythagorean tuning?

What key is 440 Hz?

A440 (also known as Stuttgart pitch) is the musical pitch corresponding to an audio frequency of 440 Hz, which serves as a tuning standard for the musical note of A above middle C, or A₄ in scientific pitch notation.

How did Pythagoras measure frequency?

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.

What Hz is A2?

The tuning of open strings for an electric guitar (or classical guitar) is E2 (82 Hz), A2 (110 Hz), D3 (147 Hz), G3 (196 Hz), and E4 (330 Hz), though the music is notated two octaves higher than it sounds (for readability). Middle C is C4 and the tuning note played in orchestras is A4.

How do you calculate Pythagorean tuning?

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). G = 261 x 3 / 2.