Nodes
The nodes of natural harmonics are located at the following points along a guitar's neck. For fretted strings, these locations shift up the fingerboard by the same number of frets, and resulting harmonics are called artificial harmonics.
| Mode | Length Fraction | Fret | Note |
|---|---|---|---|
| 1 | 1 | open | unison |
| 2 | 1/2 | 12 | octave |
| 3 | 1/3, 2/3 | 7, 19 | octave + perfect fifth |
| 4 | 1/4, 3/4 | 5, 24 | 2nd octave |
| 5 | 1/5 to 4/5 | 3.9, 8.8, 15.9, 27.9 | 2nd octave + just major third |
| 6 | 1/6, 5/6 | 3.2, 31.0 | 2nd octave + perfect fifth |
| 7 | 1/7 to 6/7 | 2.7, 5.8, 9.7, 14.7, 21.7, 33.7 | 2nd octave + septimal minor seventh |
| 8 | 1/8, 3/8, 5/8, 7/8 | 2.3, 8.1, 17.0, 36.0 | 3rd octave |
| 9 | 1/9, 2/9, 4/9, 5/9, 7/9, 8/9 | 2.0, 4.4, 10.2, 14.0, 26.0, 38.0 | 3rd octave + neutral second |
| 10 | 1/10, 3/10, 7/10, 9/10 | 1.8, 6.2, 20.8, 39.9 | 3rd octave + just major third |
The above fret numbers can be calculated:
where, the frequency ratio of one musical half-step (i.e. one fret), m is the mode number (1–10 are given above), and n is the node number for that mode (1 to m − 1).
Certain nodes of higher harmonics are coincident with nodes of lower harmonics, and the lower sounds overpower the higher ones. For example, mode number 4 can be fingered at nodes 1 and 3; it will occur at node 2 but will not be heard over the stronger first harmonic. Ineffective nodes to finger are not listed above.
Read more about this topic: Guitar Harmonics
Famous quotes containing the word nodes:
“There are characters which are continually creating collisions and nodes for themselves in dramas which nobody is prepared to act with them. Their susceptibilities will clash against objects that remain innocently quiet.”
—George Eliot [Mary Ann (or Marian)