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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

Musical Frequencies The frequencies of musical notes (measured in cycles per second) form a geometric sequence. Middle C has a frequency of 256 , and the C that is an octave higher has a frequency of 512 . Find the frequency of C two octaves below middle C .

Chapter 13.3, Problem 92E, Musical FrequenciesThe frequencies of musical notes measured in cycles per second form a geometric

To determine

The frequency of C two octaves below middle C.

Explanation

Given:

1) The frequencies of musical notes (measured in cycles per second) form a geometric sequence.

2) Middle C has a frequency of 256.

3) The C that is an octave higher has a frequency of 512.

Approach:

1 Octave = 2 Notes

Calculation:

Middle C has a frequency of 256 and the C that is an octave higher has a frequency of 512.

So, for each octave, the frequencies increase by a factor of 2 as shown in Figure (1).

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