On a guitar, there are 12 frets separating a note and the same note one octave higher. By moving from one fret to another that is seven frets away, the frequency of the note changes by a factor of 27/12. Use a calculator to find this number as a decimal. This decimal shows you that 27/12 is very close to a "nice" fraction with small numerator and denominator. Notes with this frequency ratio form a "perfect fifth" in music. What is that fraction?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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On a guitar, there are 12 frets separating a note and the same note one octave higher.
By moving from one fret to another that is seven frets away, the frequency of the note
changes by a factor of 27/12. Use a calculator to find this number as a decimal.
This decimal shows you that 27/12 is very close to a "nice" fraction with small
numerator and denominator. Notes with this frequency ratio form a "perfect fifth" in
music. What is that fraction?
Transcribed Image Text:On a guitar, there are 12 frets separating a note and the same note one octave higher. By moving from one fret to another that is seven frets away, the frequency of the note changes by a factor of 27/12. Use a calculator to find this number as a decimal. This decimal shows you that 27/12 is very close to a "nice" fraction with small numerator and denominator. Notes with this frequency ratio form a "perfect fifth" in music. What is that fraction?
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