Wave Lab
Acoustics & Musical Physics Labf = 440 · 2^((k-49)/12) • λ = v / f

C8 (4186.01 Hz) Note to Frequency Calculator

Discover the acoustic frequency, wavelength in air, MIDI number, and physical tuning mathematics for musical note C8.

12-Tone Equal Temperament Pitch
C8(Key #88, MIDI 108)
Frequency
4186.01 Hz
Wavelength (Air @ 20°C)
8.2 cm
Period (T = 1/f)
0.24 ms
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A0#
B0
C1#
D1#
E1
F1#
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A1#
B1
C2#
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C3#
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B3
C4#
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C5#
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C7#
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B7
C8
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The Physics of Note C8 (4186.01 Hz)

When C8 is played on a piano or acoustic instrument, vibrating strings or air columns compress adjacent atmospheric molecules at a fundamental frequency of 4186.01 cycles per second (Hz). In standard air at 20°C, each compression wavefront is separated by 8.2 cm.

12-Tone Equal Temperament (12-TET)

In modern Western music, the octave is divided into 12 equal logarithmic intervals. The frequency ratio between every adjacent semitone is the twelfth root of two (12√2 = 21/12 ≈ 1.059463).

f=440·2(k − 49) / 12

Acoustic Standing Waves & Resonators

To produce C8, open cylindrical organ pipes require an acoustic length of λ / 2 ≈ 4.1 cm, while closed resonators resonate at a quarter-wavelength λ / 4 ≈ 2.0 cm.

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Traian Anghel
Traian AnghelAuthor & Reviewer

Physics Teacher & Educational Technologist • Brăila, Romania

Last Reviewed: August 2026
Wave Lab calculators are constructed using rigorous peer-reviewed physics formulas from verified metrological repositories. Every equation, spectral conversion, and acoustic property is tested against NIST, CIE, and ISO datasets.
Verified Sources:NIST CODATACIE 1931 2° ObserverNASA Glenn Research

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