Francesca D. answered • 07/21/19

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In mathematics, the **harmonic series** is the divergent infinite series:

CONTESSA M.

asked • 11/22/16 Musical tones. The note middle C on a piano is tuned so that the string vibrates at 262 cycles per second or 262 HZ (Hertz). The C note one octave higher is tuned to 524 HZ. The tuning for the 11 notes in between using the method called equal temperament is determined by the sequence a_{n}=262*2^{n/12}. Find the tuning for the 11 notes in between. Round to the nearest Hz. Show and explain your work.

PLEASE WALK ME THRU SOLVING THIS ENTIRE PROBLEM.

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Francesca D. answered • 07/21/19

Tutor

New to Wyzant
Piano Lessons in your home

In mathematics, the **harmonic series** is the divergent infinite series:

Mark M. answered • 11/22/16

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Mathematics Teacher - NCLB Highly Qualified

a_{1 }represents middle C

a_{2} represents c#

a_{2} = 262(2)^{2/12}

a_{2} ≈ 262(2)^{0.1666.}

a_{2} ≈ 262(1.1224)

a_{2} ≈ 294.07

Follow this pattern for the remaining 10 pitches.

This is generally done by mechanical means.

Mark M.

a_{3} = 262(2)^{3/12}

a_{4} = 262(2)^{4/12}

a_{5} = 262(2)^{5/12}

See the pattlern?

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11/28/16

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CONTESSA M.

11/28/16