Lesson 2

Harmonics & Overtones

Harmonics and overtones explained - why instruments sound different playing the same note. Understand timbre and the harmonic series. Free audio examples.

Harmonics & Overtones

Play a C on a piano and a C on a guitar - same note, same pitch, but they sound completely different. That difference is down to harmonics. Understanding harmonics explains why every instrument has its own flavour, and why synthesisers can recreate (or invent) any timbre.

The Fundamental

When a string vibrates, it doesn't just vibrate as a whole - it also vibrates in halves, thirds, quarters, and so on, all at the same time. The fundamental is the main vibration that determines the pitch you hear. Everything else layered on top is an overtone - like the subtle spices you can't pick out individually, but that define the character of the dish.

Fundamental 2nd harmonic 3rd harmonic whole string vibrating halves thirds 1x freq 2x freq 3x freq

A vibrating string produces the fundamental and many harmonics simultaneously.

The Harmonic Series

The harmonics of any note follow a fixed pattern - each one is a whole-number multiple of the fundamental frequency. If the fundamental is 100 Hz, the 2nd harmonic is 200 Hz, the 3rd is 300 Hz, and so on.

1st 1x C2 Fundamental
2nd 2x C3 Octave
3rd 3x G3 Perfect 5th
4th 4x C4 Octave
5th 5x E4 Major 3rd
6th 6x G4 Perfect 5th
7th 7x Bb4* Minor 7th*

* The 7th harmonic is slightly flat compared to the equal-tempered scale.

Notice something interesting? The harmonic series naturally contains an octave, a fifth, and a major third. This is why these intervals sound so consonant - they're built into the physics of every vibrating object.

Timbre: The Colour of Sound

Timbre (pronounced "tam-ber") is the quality that makes a piano sound different from a guitar, even playing the same note at the same volume. It's determined by which harmonics are present and how loud each one is.

Flute

Almost pure fundamental with very few harmonics. Smooth, clear, simple. Close to a sine wave.

Clarinet

Strong odd harmonics (1st, 3rd, 5th), weak even harmonics. Hollow, woody quality. Similar harmonic pattern to a square wave.

Violin

Rich in both odd and even harmonics. Bright and complex. Similar to a sawtooth wave.

Piano

Complex mix of harmonics that change over time - bright attack that fades to a warmer sustain. No simple waveform equivalent - the harmonics are constantly evolving.

Why Harmonics Matter for Production

EQ & Filtering

When you boost or cut frequencies with EQ, you're adjusting the volume of specific harmonics. Cutting highs removes upper harmonics, making a sound darker.

Distortion & Saturation

Distortion adds new harmonics that weren't in the original sound. This is why a clean guitar and a distorted guitar sound so different - distortion generates overtones.

Synthesis

Additive synthesis builds sounds by layering individual harmonics. Subtractive synthesis starts with a harmonic-rich wave and filters away what you don't want.

Mixing

Understanding harmonics helps you hear why instruments clash - their harmonics overlap in the same frequency range, creating muddiness.

Production Tip

A bass note at 100 Hz doesn't just live at 100 Hz - its harmonics extend up to 200, 300, 400, 800 Hz and beyond. This is why you can "hear" bass even on small laptop speakers that can't reproduce low frequencies - your brain reconstructs the fundamental from the higher harmonics. It's also why adding subtle saturation to a bass can make it more audible on small speakers without increasing the actual low-end volume.

Try it

Build the overtone stack a layer at a time.

The octave, fifth, and higher partials are what make a note feel rich instead of plain.

Key takeaway

Overtones are the frequencies above the fundamental that give each instrument its unique character (timbre). The same note sounds different on every instrument because of its unique overtone recipe.

Next: how to remove frequencies and sculpt the sound you want - filters.

Explore different timbres

Starts generates parts across instruments with different harmonic characters.