Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A musical scale is constructed by providing intermediate frequencies between a note and its octave which
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Understand the concept of octaves in music. An octave doubles the frequency of a note. For instance, if the fundamental frequency is $f$, then the octave frequency is $2f$.
Step 2: Recognize how intermediate frequencies are arranged between two notes. The frequencies of notes in a musical scale within an octave are spaced logarithmically, which leads to geometric progression.
Step 3: A geometric progression (GP) is defined as a sequence where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. In music, this means that if you have a note at frequency $f_1$, the next note in the scale can be expressed as $f_1 imes r$, where $r$ is the common ratio. This continues until reaching $2f_1$ (the octave).
Step 4: Each step on the scale represents a multiplicative increase in frequency. Therefore, the relationship between the frequencies in a musical scale corresponds to a geometric progression, not an arithmetic progression (AP) or any other form.
Conclusion: Hence, the correct answer is that the intermediate frequencies form a geometric progression.
Therefore, the correct answer is B.
Step 2: Recognize how intermediate frequencies are arranged between two notes. The frequencies of notes in a musical scale within an octave are spaced logarithmically, which leads to geometric progression.
Step 3: A geometric progression (GP) is defined as a sequence where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. In music, this means that if you have a note at frequency $f_1$, the next note in the scale can be expressed as $f_1 imes r$, where $r$ is the common ratio. This continues until reaching $2f_1$ (the octave).
Step 4: Each step on the scale represents a multiplicative increase in frequency. Therefore, the relationship between the frequencies in a musical scale corresponds to a geometric progression, not an arithmetic progression (AP) or any other form.
Conclusion: Hence, the correct answer is that the intermediate frequencies form a geometric progression.
Therefore, the correct answer is B.
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