/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 50 Western music uses a musical sca... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 17: Q. 50 (page 485)

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鈥攁n 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)?

Short Answer

Expert verified

a) The value of the r is 1.0595

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

Step by step solution

01

Discussion about the frequency of the note 

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

02

Understanding the differences between the notes and determining r

The provided information is fn+1=rfn

the separation of the two notes are fn+2=rfn+1=r2fn

Thus, the separation of the 12th notes are fN+12=r12fn

The double of the twelve-note isfn+12=2fn

based on the simplifaction the remaining value is 2=r12

Now the r is = r12=2鈬�r=212=2121.0595

Thus, the determination of the r based on the formula islocalid="1649072985238" fA#=rfA=1.0595路440=446Hz

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Biologists think that some spiders 鈥渢une鈥� strands of their web to give an enhanced response at frequencies corresponding to those at which desirable prey might struggle. Orb spider web silk has a typical diameter of 20 碌m, and spider silk has a density of 1300 kg/m3. To have a fundamental frequency at 100 Hz, to what tension must a spider adjust a 12-cm-long strand of silk?

A 280 Hz sound wave is

directed into one end of the

trombone slide seen in FIGURE

CP17.77. A microphone

is placed at the other end to

record the intensity of sound

waves that are transmitted

through the tube. The straight

sides of the slide are 80 cm in length and 10 cm apart with a

semicircular bend at the end. For what slide extensions s will the

microphone detect a maximum of sound intensity?

A very thin oil film n=1.25floats on watern=1.33.

What is the thinnest film that produces a strong reflection for

green light with a wavelength of 500 nm?

In music, two notes are said to be an octave apart when one note is exactly twice the frequency of the other. Suppose you have a guitar string playing frequency f0. To increase the frequency by an octave, to 2f0, by what factor would you have to (a) increase the tension or (b) decrease the length?

Two loudspeakers emit sound waves along the x-axis. The

sound has maximum intensity when the speakers are 20 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 60 cm.

a. What is the wavelength of the sound?

b. If the distance between the speakers continues to increase, at

what separation will the sound intensity again be a maximum?
See all solutions

Recommended explanations on Physics Textbooks

Physics of Motion

Read Explanation

Electricity and Magnetism

Read Explanation

Scientific Method Physics

Read Explanation

Measurements

Read Explanation

Wave Optics

Read Explanation

Astrophysics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.