Suggested languages for you:

Q. 50

Expert-verified
Found in: Page 485

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Western music uses a musical scale with equal temperament tuning, which means that any two adjacent notes have the same frequency ratio r. That is, notes n and n + 1 are related by fn+1 = r fn for all n. In this system, the frequency doubles every 12notes—an interval called an octave.a. What is the value of r?b. Orchestras tune to the note A, which has a frequency of440 Hz. What is the frequency of the next note of the scale (called A-sharp)?

a) The value of the r is 1.0595

b) The frequency of the next scale note is 466 Hz

See the step by step solution

## Step 1: Discussion about the frequency of the note

The higher and the lower frequencies waves are responsible for oscillating the higher and lower notes.

## Step 2: Understanding the differences between the notes and determining r

The provided information is

the separation of the two notes are

Thus, the separation of the 12th notes are

The double of the twelve-note is

based on the simplifaction the remaining value is

Now the r is =

Thus, the determination of the r based on the formula is