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Artificial harmonics are usually indicated by a * before or after the fret number. Sometimes the actual pitch of the sounded note is written above the tab. And sometimes the * is simply above the tab.
E *
e--<5>--*12--12--[12]-
The above is a natural harmonic created by using the left-hand as a pivot above the 5th fret. The next note involve actually fretting the 12th fret, but using an artificial harmonic to get that same note. We are given the actual pitch that should be sounded's note name, but we don't know exactly which harmonic this is. It could be the 2nd, 4th, or higher. The final note is an ambiguous artifical harmonic - we know we are getting a harmonic of the 12th fret E note, but we don't have any information about which harmonic to sound.
3rd harmonic
---<7>---<19>----*[0]---
4th harmonic
---<5>---<24>----*[0]----
5th harmonic
---<3.8>---<?>---*[0]---
6th harmonic
---<3.2>---<?>---*[0]---
7th harmonic
---<2.6>---<?>---*[0]---
First we need to practice getting the motion down, and locating the pivot points for open strings. The fret numbers inside <>'s are natural harmonics. Notice how each line has two natural harmonics, then an open-string artificial harmonic. All 3 pitches should be identical.
Harmonic: 3rd 4th 5th 6th 7th 3rd 4th 5th 6th 7th
Tab: --<7>-<5>-<3.8>-<3.2>-<2.6>----*[0]---*[0]---*[0]---*[0]---*[0-]-
Notice how just as you move your left-hand closer and closer to the nut but in increasingly smaller distances for the natural harmonics, you also move your right hand closer and closer to the bridge in increasingly smaller distances for the artificial harmonics. Physically speaking, natural and artificial harmonics are the same thing - only the technique used to create them is different.
2nd 4th 2nd 4th
e--0--<12>--<24>--12--*[12]-[12]--*12
First we have the open E string, then its 2nd harmonic, then its 4th harmonic (using the last pivot point at the 24th fret rather than the first at the 5th fret). The pitches played should be the open-string E4, its octave E5, and the next octave E6. Then we play the 12th fret and sound the 2nd and 4th harmonic using artificial harmonics. These pitches are E5, E6, and E7. We keep the 12th fret held with the left hand. The pivot points each shift halfway closer to the bridge. For the 2nd harmonic, the pivot point moves from 12th fret to 24th. Just like the 12th fret cuts the open string in half, the 24th fret cuts the portion of the string from the 12th fret to the bridge in half. For the 4th harmonic, the pivot point will be halfway between the 24th fret and the bridge. The notes should be all one octave higher, so all 6 notes are: E4, E5, E6...E5, E6, E7.
4th 4th
e--0--<5>--3--*[3]--
String length and pitch are inversely proportional. The third fret G is 15/12ths higher pitched than the open string E. The distance from the 3rd fret to bridge is ~12/15ths the distance from the nut to the bridge. This means all the last pivot points (those closest to the bridge) for harmonics are now 12/15ths their open-string distances as well. In other words, you need to move your right hand 3/15ths closer to the bridge to maintain the same pivot points.
4 4 4 4 4 4 4
e--*[1]--*[2]--*[3]--*[4]--*[3]-[2]-*2[1]--*1
Here we're just moving up and down chromatically. This illustrates the necessity of moving the right hand pivot point to match the left hand fret.
4 5 6 5 4 4 4 5 6 5 4 4 4 4
e--*[1]--*[1]--*[1]--*[1]--*[1]--*[2]--*[3]--*[4]--*[4]--*[4]--*[4]--*[4]--*[3]--*[2-]-
Now we are practicing holding the fret constant and changing the harmonic achieved, as well as changing the fret while keeping the harmonic order constant.
The basic effect of this technique is much different than when using the picking technique. The picking technique usually generates higher order harmonics that really stand out, useful to emphasize a particular note in a riff or solo. This technique is more often used to give arpeggiated chords a chime-like sound.
e-----------T22(14)-- b---------T22(14)---- g-------T33(15)------ d-----T44(16)-------- a---T44(16)---------- e-T22(14)------------
Tab with artificial harmonics via tapping usually look something like the above - the first number indicates the left-hand fret, while the number in ()'s indicates the fret number to tap to sound the harmonic. Remember, the tap isn't designed to actually fret the note in ()'s, but to simply tap the string into the top of that fret, causing the string to sound.