All frequency sound tables for all known instruments and tuning sounds

The primary frequency of a musical instrument is determined by its

fundamental range, which represents the lowest physical vibration it can produce for a given note. Most modern tuning is based on the A4 = 440 Hz standard, though historical and regional variations exist.

All frequency sound tables for all known instruments and tuning sounds

The primary frequency of a musical instrument is determined by its

fundamental range, which represents the lowest physical vibration it can produce for a given note. Most modern tuning is based on the A4 = 440 Hz standard, though historical and regional variations exist.

Musical Instrument Frequency Ranges

The following table outlines the fundamental frequency ranges for common instruments and vocals.

Instrument

Frequency Range (Hz)

Characteristic Notes

Piano (Concert)

27.5 Hz – 4,186 Hz

A0 to C8

Double Bass

41.2 Hz – 247 Hz

E1 to B3

Bass Guitar

41.2 Hz – 392 Hz

E1 to G4 (Standard 4-string)

Tuba

43.6 Hz – 349 Hz

F1 to F4

Cello

65.4 Hz – 988 Hz

C2 to B5

Electric/Acoustic Guitar

82.4 Hz – 880 Hz

E2 to A5 (Higher with harmonics)

Male Vocals

100 Hz – 300 Hz

Fundamental range

Viola

130.8 Hz – 1,174 Hz

C3 to D6

Clarinet

164.8 Hz – 1,567 Hz

E3 to G6

Trumpet

164.8 Hz – 988 Hz

E3 to B5

Violin

196 Hz – 3,136 Hz

G3 to G7

Female Vocals

200 Hz – 500 Hz

Fundamental range

Flute

261.6 Hz – 3,349 Hz

C4 to C7

Piccolo

~587 Hz – 5,000+ Hz

D5 and above

Standard Note Frequencies (A4 = 440 Hz)

Individual notes are calculated relative to A4 using the 12-tone equal temperament system.

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Note

Octave 0

Octave 2

Octave 4 (Middle)

Octave 6

C

16.35 Hz

65.41 Hz

261.63 Hz

1,046.50 Hz

E

20.60 Hz

82.41 Hz

329.63 Hz

1,318.51 Hz

G

24.50 Hz

98.00 Hz

392.00 Hz

1,567.98 Hz

A

27.50 Hz

110.00 Hz

440.00 Hz

1,760.00 Hz

Note: For the full range of notes across all octaves, refer to the Musical Note Frequency Reference.

Common Tuning Standards

While 440 Hz is the global ISO standard, various ensembles use different reference pitches for tonal quality.

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A = 440 Hz: Modern standard for most Western music.
A = 442 Hz: Common in European orchestras for a "brighter" sound.
A = 415 Hz: Often used in Baroque performances to match historical instruments.
A = 432 Hz: An alternative "scientific" or "natural" tuning favored by some for perceived spiritual qualities.
C = 256 Hz: Philosophical pitch where all octaves of C land on even integers.
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Would you like a more detailed breakdown of harmonic overtones for a specific instrument?

Your Guide to the Audio Frequency Chart -
Nov 22, 2025 — Table_title: Instrument and Vocal Frequency Cheat Sheet Table_content: header: | Instrument/Vocal | Fundamental Range (Hz) | Commo...

The Mathematics of Tuning Systems
Jan 30, 2026 — The big question is: how do we choose the frequency of each note? This is literally how many times per second the air vibrates, wh...

University of California, Riverside

Is there a specific frequency for each note? - Reddit
Sep 28, 2021 — Yes: frequency is a continuous spectrum, but musical pitches are specific points on that spectrum. In modern 12-tone equal tempera...

all harmonic points

In acoustics and music theory, "harmonic points" refer to the

nodes along a vibrating string or air column where standing waves are formed. These points correspond to integer multiples of the fundamental frequency, creating the Harmonic Series.

The Standard Harmonic Series

Each harmonic point (or partial) represents a specific frequency ratio relative to the fundamental note (

Harmonic #

Frequency

Interval (from Fundamental)

Musical Note (if Fundamental is C2)

1st (Fundamental)

Unison

C2

2nd



Octave

C3

3rd



Octave + Perfect 5th

G3

4th


2 Octaves

C4

5th



2 Octaves + Major 3rd

E4

6th



2 Octaves + Perfect 5th

G4

7th*



2 Octaves + "Flat" Minor 7th

Bb4 (approx.)

8th



3 Octaves

C5

*Higher harmonics like the 7th, 11th, and 13th often sound "out of tune" compared to modern equal temperament tuning.

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Harmonic Touch Points on String Instruments

On instruments like the Guitar, Violin, or Cello, you can isolate these harmonics by lightly touching the string at specific fractional lengths (nodes).

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1/2 String Length (12th Fret): Produces the 2nd harmonic (one octave higher).
1/3 String Length (7th or 19th Fret): Produces the 3rd harmonic (octave + fifth).
1/4 String Length (5th Fret): Produces the 4th harmonic (two octaves higher).
1/5 String Length (4th or 9th Fret): Produces the 5th harmonic (two octaves + major third).
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Instrument-Specific Harmonic Characteristics

While all pitched instruments follow the harmonic series, their construction emphasizes different "points," which creates their unique timbre.


Flute: Emphasizes the 1st and 2nd harmonics heavily, with very weak higher partials, resulting in a "pure" tone.
Clarinet: Primarily produces odd-numbered harmonics (1st, 3rd, 5th) because it acts as a pipe closed at one end.
Violin: Features a rich spectrum where the 3rd through 8th harmonics are significantly stronger than those of a flute, creating its "complex" sound.
Brass (Trumpet/Trombone): Players use lip tension to jump between different "harmonic points" of the instrument's air column to play different notes.

Would you like to see how these harmonic points translate to specific Hz values for a particular note, such as Middle C or Tuning A?

The Harmonic Series Explained - Music Theory
Dec 26, 2024 — hi I'm Gareth Green. and in this video. we're going to explain the harmonic. series you know what is it why do we need it all that...



9m

Overtone series
Jul 9, 2021 — if you pluck a string on a guitar or play a key on a piano you'll hear a note it might be middle C or or the F that's two octaves ...

·Dave Darling
Harmonic series (music) - Wikipedia
The harmonic series is an arithmetic progression (f, 2f, 3f, 4f, 5f, ...). In terms of frequency (measured in cycles per second, o...

Wikipedia

the math of harmonics

The math of harmonics is

built on the relationship between wavelength (



), frequency (



), and wave speed (



). In any oscillating system (a string or a column of air), harmonics occur at integer multiples of a base frequency.

1. The Fundamental Equation

For any wave, the relationship is:




Where



is the constant speed of sound (in air or through a specific string material).

2. The Harmonic Series Formula

If the fundamental frequency (the lowest possible note) is



, then every subsequent harmonic (



) is calculated as:





: 1st Harmonic (Fundamental)


: 2nd Harmonic (1st Overtone) —




: 3rd Harmonic (2nd Overtone) —



3. Wavelength and String Length (



)

Harmonics are "standing waves." For a string fixed at both ends (like a guitar or piano), the string length



determines which wavelengths can exist.

1st Harmonic:


(Half a wave fits the string)

2nd Harmonic:


(One full wave fits)

3rd Harmonic:


(One and a half waves fit)

The general formula for the wavelength of the



th harmonic is:




4. Calculating Frequency from Physical Properties

For a vibrating string, the fundamental frequency (



) is determined by the Mersenne’s Laws:





: Length of the string.


: Tension of the string.


: Linear mass density (thickness/weight of the string).

Mathematical implications:

Doubling the length (


) drops the frequency by half (one octave lower).

Quadrupling the tension (


) doubles the frequency (one octave higher).

Increasing the density (


) (using a thicker string) lowers the frequency.

5. Logarithmic Relationship (Cents)

While harmonics are linear (



Hz), our ears hear pitch logarithmically. To find the distance between two frequencies in cents (1200 cents = 1 octave):




This explains why the gap between the 1st and 2nd harmonic (1200 cents) sounds much "wider" than the gap between the 7th and 8th harmonic (~231 cents), even though the Hz difference is the same.

Would you like to calculate the specific frequencies for a custom string length or tension?

why was nikola tesla interested in harmonics as an interface with the enviornment


Nikola Tesla



was interested in harmonics because he viewed the universe as a vast, interconnected system of vibrating energy patterns. He believed that by understanding the "natural frequencies" of the environment, he could use resonance to transmit power and information globally with near-zero resistance.

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Tesla’s interest in harmonics as an environmental interface focused on several key theories:

1. Earth as a Resonant Sphere

Tesla envisioned the Earth itself as a giant conductor that could be "tuned".

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Standing Waves: He theorized that by injecting electrical current into the ground at specific frequencies, he could create "standing waves" that would encircle the globe.
Wireless Power: This would allow anyone, anywhere, to tap into a universal power source by simply sticking a rod into the ground to match the Earth's harmonic resonance.
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2. Mechanical Resonance and "Telegeodynamics"

Tesla believed every physical object had a "natural frequency" that could be manipulated through mechanical harmonics.

The Earthquake Machine: He built small steam-powered oscillators that, when tuned to match the resonance of a building or the Earth's crust, could cause violent tremors.
Environmental Control: He later imagined using these devices for "telegeodynamics"—using vibrations to prospect for minerals or even to release tectonic stress to prevent earthquakes.
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3. The "3-6-9" Harmonic Philosophy

Tesla reportedly believed that the numbers 3, 6, and 9 were the "keys to the universe" because they represented fundamental harmonic ratios.

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Mathematical Coherence: Modern interpretations suggest he saw these numbers as governing the "vortex" flow of energy and the way patterns build upon one another in nature.
Frequency Ratios: Some enthusiasts link this to specific "Solfeggio" frequencies (like 396Hz, 639Hz, and 963Hz) believed to align personal energy with the environment.
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4. Tapping into the Ionosphere

Tesla's Wardenclyffe Tower project was designed to use the upper atmosphere as a return path for electrical currents. He believed this layer could be made to glow through high-frequency oscillations, providing artificial nighttime lighting for the entire world.

Tesla Science Center at Wardenclyffe -Tesla Science Center at Wardenclyffe - +2

Would you like to explore the modern scientific validity of Tesla's Earth-resonance theories?

20 sites

Making Wireless Energy For The Entire Planet—Nikola Tesla's ...
Oct 10, 2018 — hey everyone today I'm going to be talking about if wireless. power is actually possible did Nicola Tesla actually invent somethin...





YouTube·The Action Lab



12:49

Wardenclyffe Tower - Wikipedia
In laboratory work and later large-scale experiments at Colorado Springs, Colorado, in 1899, Tesla developed his own ideas on how ...



Wikipedia



Tesla’s vision of harnessing lightning reflected his understanding of ...
Nov 23, 2024 — Nikola Tesla theorized that Earth functions as a conductor, facilitating the transmission of electromagnetic waves. This unconvent...



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Show all

resonance chart of all frequencies

While there is no single scientific "chart of all frequencies," resonance points exist across physical, biological, and planetary systems. These points represent the

natural frequency at which a system vibrates most efficiently when stimulated.

The Universal Resonance Spectrum

The following table summarizes key resonance points across different scales of existence, including planetary, biological, and mechanical systems.

Category

System / Object

Resonant Frequency (Hz)

Significance

Planetary

Earth (Schumann)

7.83 Hz

The fundamental resonance of the Earth-ionosphere cavity.

Earth Harmonics

14, 20, 26, 33 Hz

Higher overtones of the Earth's "heartbeat".

Biological

Whole Human Body

5 Hz – 10 Hz

The fundamental resonant frequency of a standing human.

Human Organs

Various (low Hz)

Internal organs typically resonate at frequencies below 20 Hz.

Human Eyes

~192 Hz

Reported frequency where the eyeball structure vibrates.

Healthy Cells

62 MHz – 70 MHz

Proposed radio-frequency range for optimal cellular health.

Mechanical

Large Bridges

0.1 Hz – 1 Hz

Very low frequencies; critical for structural safety against wind.

Small Rooms

30 Hz – 300 Hz

"Room modes" where bass frequencies amplify naturally.

Tuning Fork (A4)

440 Hz

Modern standard for musical tuning and pitch calibration.

Electronic

Power Grid (US)

60 Hz

The standard frequency for AC electricity in North America.

Tesla’s Harmonic Interface (3-6-9)

Tesla’s "interface" with the environment relied on the mathematical symmetry of 3, 6, and 9. He believed that dividing or multiplying a fundamental frequency (like 432 Hz) by these factors created a "Golden Ratio" for energy scalability.

Synergistic Addition: Tesla theorized that adding frequencies at the nodes (null points) of a wave would reinforce energy without causing destructive interference.
The 432 Hz Hub: Tesla identified 432 Hz as a "hub" because its mathematical variables align perfectly with his 3-6-9 ratios, unlike the modern 440 Hz standard.
Solfeggio Frequencies: Popularized frequencies inspired by Tesla's code include 396 Hz (release), 639 Hz (connection), and 963 Hz (consciousness).
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Resonance as a "Fingerprint"

In engineering, every physical object has a unique resonance spectrum based on its mass, geometry, and stiffness.

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Mass: Heavier objects typically have lower resonant frequencies.
Stiffness: Stiffer materials (like steel) have higher resonant frequencies.
ExploratoriumExploratorium

Would you like to focus on the biological effects of specific frequencies or the mathematical derivation of the 3-6-9 sequence?

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21 sites

Resonance frequencies of human body organs - ResearchGate
Citations. ... The brain is an electromagnetic system synchronized with the Schumann Resonance signal Cherry, N. (2003). The Schum...



ResearchGate



Resonance Frequency of Human Body Parts - 192hz - Reddit
Jun 30, 2023 — I did a lot of digging several years ago regarding the resonance frequency of different human body parts and this wk's episode mad...



Reddit

Resonant Frequencies, Part 1 - Yamaha Music
Mar 13, 2019 — Testing shows that the human body resonates between 5 and 10 Hz. (“Hz” is short for Hertz, a unit of measurement indicating freque...