Use discount code MBN-50 at the checkout for 33% off! Be quick - this offer wont last forever!
Harmonics are notes too!

Harmonics are notes too!

Table of Contents

Everyone knows the 12th fret octave harmonic. Do you know what notes are produced at the other natural harmonic fretboard positions?

What are harmonics ?

A harmonic is the interesting high pitched frequency that occurs when touching a string in a very particular place.

Natural harmonics occur when the string is divided up into equal parts.

The easiest natural harmonic to play is at the 12th fret. The midpoint across the string’s length.

NB: A string starts at the bridge saddle and ends at the nut above the first fret.

A harmonic played at this point produces an octave harmonic. The same note as the open string but at a higher frequency.

The two equal lengths of string above and below the point of contact ring separately. The point of contact can be referred to as the node.

The ringing results in a more “pure” sine wave compared to the complex, overtone-heavy sound of a plucked open string.

How to play a harmonic?

To play a harmonic place a finger from your fretting hand on string 3, fret 12. (string 3 = G in standard tuning). Lightly place your finger on the string directly above the fret wire but do not depress the string into the fretboard. Use your other hand to pluck the string. Remove your fretting finger from the string soon after plucking to allow the note to ring out.

The resultant note is a G. This is an octave harmonic. It shares the note name with the open string and the 12th fret that it is played at.

Frets 3, 4, 5, 7, 9

Dividing the string into two parts of unequal length can result in different pitches to the underlying fret position.

Consider the 5th string in standard tuning (A = MBN: [10])

Fret Position03457912
Standard NoteA [10]C [01]C# [02]D [03]E [05]F# [07]A [10]
Harmonic Note-E [05]C# [02]A [10]E [05]C# [02]A [10]
+ Difference-+40+70+70
- Difference--80-50-50
Compared to Open-24 + 724 + 42412 + 724 + 412
Compared to Open-2oct + P52oct + M32oct1oct + P52oct + M31oct

Dividing the string into 1/4, 1/2, 3/4 results in octaves above the open string note.

Key to ‘Music By Numbers’ notation vs intervals

  • +4 = Forward a (M3) Major 3rd (4 semitones)
  • +7 = Forward a (P5) Perfect 5th (7 semitones)
  • +10 = Forward a (m7) Minor 7th (10 semitones)
  • -5 = Back a (P4) Perfect 4th (5 semitones)
  • -8 = Back a (m6) Minor 6th (8 semitones)
  • 12 = (1oct) Octave (12 semitones)
  • 24 = (2oct) Double Octave (24 semitones)

Having trouble ?

There is good reason! The harmonics at frets 3, 4 and 9 do not quite line up with the fret wire!

  • For the natural harmonic at fret 3 place your finger slightly towards the bridge

  • For the natural harmonic at fret 4 place your finger slightly towards the nut

  • For the natural harmonic at fret 9 place your finger slightly towards the nut

The Maths Behind the Madness

Natural harmonics follow the harmonic series formula

The open string A is tuned to 110 Hz (A2) in standard tuning
Fret Position3.23.9578.812
String division1/61/51/41/32/51/2
Harmonic Partial (n)654352
Frequency (Hz)660550440330550220

Related Posts

The Feature Overview

The Feature Overview

Grab a cup of coffee ☕ this is going to take a while …

Read More
MBN in a Nutshell

MBN in a Nutshell

MBN is a comprehensive, interactive learning experience and practice tool for musicians.

Read More
Get your solutions here!

Get your solutions here!

A list of common problems, issues and difficulties musicians face. How can Music By Numbers (MBN) help?

Read More
call to action

Ready to Supercharge Your Music Skills?

Get the ultimate tool for unlocking the fretboard, understanding music theory and creating your own music

Get Music By Numbers
Chive Gherkin Software