NATURAL HARMONICS, FRETS 0 - 24 ( WITH OCTAVE NUMBER, SHARPS )
_When you use your finger to produce a harmonic,
you are splitting the string into halves, thirds, quarters, and so on.
When you play a natural harmonic at the 12th fret for example,
the string is vibrating on both sides of where you are touching.
The only part of the string that is not vibrating is where you were touching the string.
That point is called the ‘node’.
The string vibrates in 2 divided sections.
The whole length of the string vibrates in two separate sections,
divided at the point where the string was touched to produce the harmonic._
NATURAL HARMONICS, GUITAR ( SHARPS ) :
Fret 4 : G#4 C#5 F#5 B5 D#6 G#6
Fret 5 : E4 A4 D5 G5 B5 E6
Fret 7 : B3 E4 A4 D5 F#5 B5
Fret 9 : G#4 C#5 F#5 B5 D#6 G#6
Fret 12 : E3 A3 D4 G4 B4 E5
Fret 16 : G#4 C#5 F#5 B5 D#6 G#6
Fret 19 : B3 E4 A4 D5 F#5 B5
Fret 24 : E4 A4 D5 G5 B5 E6
4th, 9th, & 16th fret harmonics all sound identical ( on a single string ).
They produce a tone 2 octaves higher than the 4th fret
of that string would normally make.
7th & 19th fret harmonics sound identical on a single string.
They produce a tone one octave higher than the 7th fret of that string would normally make.
5th and 24th fret harmonics produce an identical tone 2 octaves higher than the fundamental ( open string ).
The 12th fret harmonic produces a tone 1 octave higher than the open string ( fundamental ).
Playing the harmonic at the 12th fret splits the string in half.
Playing the harmonics at the 7th or 19th frets splits the string into thirds.
7th and 19th fret natural harmonics produce exactly the same note.
Playing the harmonics at frets 5 and 24 splits the string into quarters.
5th and 24th fret harmonics produce the same note.
SINE WAVE :
Only contains its fundamental frequency with no additional harmonics.
SQUARE WAVE :
A square wave is constructed from only odd harmonics.
SAWTOOTH WAVE :
A sawtooth wave contains both even and odd harmonics of the fundamental frequency.
TRIANGLE WAVE :
A triangle wave contains only odd harmonics.
***Waveforms tend not to contain even harmonics if they are vertically symmetrical.
Square and triangle waves are perfectly mirrored above and below the horizontal center line,
so they don’t have any even harmonics.
The sawtooth, on the other hand, is lopsided and does contain even harmonics.
This rule of thumb applies to other waveforms too.**
