Timbre: why different instruments playing the same tone sound different
"The same tone" is not the same at all. We usually think of a tone as the frequency of one sound: the fundamental frequency common to all instruments exemplified here, but every tone is in fact a complex entity - a chord if you will - consisting of many other simple tones.
These simple tones are reiterations of the same energy, on different levels. They are harmonically related to each other (do not confuse true harmony with the simultaneous playing of equal tempered tones). The simple mathematical law governing the harmonic series is depicted here: the fundamental frequency at 128 Hz is harmonic 1, or simply the fundamental. The next harmonic oscillates exactly 2 times faster at 256 Hz; harmonic 3 precisely 3 times giving 384 Hz, and so on.
This progression
1 2 3 4 5
... generating aurally unequal tones continues to
infinity. Physically, a harmonically rich timbre like that of the sitar or accordion goes beyond the 120th harmonic - visible on the graphic. Musically, the
Harmonic Series is nature's perfect tuning system, generating three-dimensional spiraling vortexes having perfectly consonant harmonies and evolving fractal beatings (as opposed to the stiff two-dimensional sound waves of equal temperament, spinning in closed circles with their constant and annoying beatings and phaser-like dissonances).
Many tunings based on rational numbers like
Just Intonation and the tuning systems of different ethnic and indigenous cultures are in true harmonic alignment with the nature of sounds.
True harmonic music is the miniature of energy laws throughout the
Universe.
[
Note that "tone" means "sound with regular structure" and has no connection to the definition given to it by
Western music theory. Also, none of the "
Harmonic" Series in the video is perfectly harmonic, that is, bearing exactly whole number relationships with the lowest frequency, because of the physicality of the instruments. The stiffness of strings together with the exciting action performed upon them (like striking, plucking and bowing) to name just a few parameters, are responsible for the stretching or compressing the series into numbers that are not 1 - 2 - 3 - 4 - 5 - 6 but for example 1 - 2,001 - 3,002 - 4,
003 - 5,004 - 6,
005 and so on. This is called "inharmonicity". The only instrument displaying perfectly harmonic overtones is the human voice.]
The program used in making this video is
Overtone Analyzer by Sygyt
Software:
http://www.sygyt.com/
The sound file analyzed (with a +11dB
difference in volume):
http://whatmusicreallyis.com/research/physics/wmri_physics_timbre_10_instruments_+11dB_whatmusicreallyis.com
.wav
More about What
Music Really İs:
http://whatmusicreallyis.com/