6) Divide the fundamental Frequency of F#5 by the frequency of A4 in the following tuning 5 systems. Round your answers (if necessary) to the nearest 0.000001:a) Equal Temperament Tuningb) Just Intona

Pythagorean Tuning 2(cont)

Here's the procedure to find the frequency of a note in Pythagorean Tuning:

Step 1:

Starting at A4, go up or down the Circle of Fifths, until you find your note (regardless of octave). The number of fifths up is the exponent on the

(3/2)

If you went down the circle of fifths, this number will be negative.

Step 2:

From your note, go up or down octaves using the Circle of Fifths above. The number of octaves up is the exponent on the 2. As before, going down octaves means a negative exponent. This step is identical to what we did with the Harmonic Series and Just Intonation.

As with Equal Temperament Tuning, Pythagorean Tuning is not to a specific key.