Synthesis 101: The Shape of Sound | Part 2

The Frequency Spectrum & Harmonics

This part of the course explains the physical properties of sound and how musical theory applies to it. By the end of this section you will discover how the audible spectrum is grouped into octaves and how they relate with each other. You’ll also learn about musical notes and how to create beautiful harmonic tones through certain combinations.

In this tutorial
1. The four waveforms
2. The frequency spectrum & harmonics
3. Attack, decay, sustain, release
4. Phase & modulation
5. Filtering & resonance
6. Stereo, width, depth & height

Part 2.1

Frequency, Octaves & Notes

Music is a form of art. It is expressed as sound rather than light, but just as painters are limited by the visible chromatic spectrum, musicians are limited by the audible frequency spectrum. Just as a painting can be made beautiful by the application of complementary colours, music can be made beautiful by blending harmonically beautiful sounds. So, let’s start with the audible frequency spectrum…

Audible Sound

The sonic frequency spectrum

Humans can detect rapid fluctuations in atmospheric pressure (a.k.a. sound waves). Most of us are able to hear fluctuations from 20 to 16,000 times per second. This is the audible frequency spectrum (20Hz-16KHz).

Octaves

The audible spectrum divided into octaves

In music, the audible spectrum is divided into octaves. Each one is double the frequency of the one before.

Notes

The 12 notes in an octave

In western music, octaves are made up of 12 notes, which are specific points along the frequency spectrum of the octave. The difference in frequency between each note is called a semitone.

Harmonics

When played together, certain notes or frequencies create interesting repetitive patterns, which are often perceived as more pleasing to the ear than other combinations. An octave harmonic features a note that is double the frequency of the deeper note. A third harmonic features a note that is three semitones higher than the deeper note. Other popular harmonics include the fifth, seventh and ninth, in which the higher note is five, seven and nine semitones higher respectively than the deeper note.

Octave Harmonic

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Playing the two same notes in adjacent octaves, e.g. A1 at 55Hz & A2 at 110Hz adds a secondary peak.

Third Harmonic

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Playing two notes three semitones apart in the same octaves, e.g. C & D# creates pulses of amplitude.