I would not waste your time on Essien. He comes across a bit of a fraud.You dont have read Essien and cannot judge it...Sorry...
Ok i just verified in the big book of Ernest Ansermet "
the foundations of music in human consciousness" P.18
He WARN us about the Helmholtz error pointed by Essien ( who dont cited him and probably dont know the book of Amsermet) the 2 writers say the same thing:
( the translation from french is my own....)
«Musical consciousness did not base tonal relations on the relation of a sound and its "harmonics" but on the relation of a sound and other real sounds whose frequencies are to its own in the same relation than the frequency of the "harmonics" from a fundamental sound.
The sounds of which we have just compared the structures of durations (fourth, fifth, third, octave scale) nonetheless constitute what we can call "a harmonic series of sounds" which we will therefore be careful not to confuse with the series of "harmonics" of a sound, an error of Helmholtz in which all theorists persevere, not that they confuse a real sound and a harmonic sound, but because, observing the phenomenon from the outside and relating it to the watch, they qualify the sounds of the "harmonic series" in the same way as the "harmonics" of a sound, which makes them miss the exact meaning of the phenomenon for the perceptual consciousness ...» Ansermet P.18
«In prehistoric physics, string tension is the size of the oppositely-directed force exerted on a string
regardless of the string’s physical dimensions. On this basis Pythagoras (6th century B.C) established the
string ratio theory of musical pitch intervals. Later physics converted the ratios into frequency ratios and
created the frequency scale for musical pitch intervals mathematically even though string ratios are not
invariant with pitch intervals. These incoherent data constitute the basis of Ohm‘s acoustic law (1843),
Helmholtz’s resonance theory (1877) and modern psychoacoustic theories of pitch. In the illusive quest for
pitch in frequency analysis of sound, Ohm and Helmholtz have been proved wrong;.... » Essien abstract of " The tension theory of pitch production and perception"
Then i dont think that it will be possible to accuse Ansermet to be a fraud...He speak of what he knows best here : musical tonal sounds / versus acoustical sounds...
If the 2 Ansermet and Essien say the same thing and formulated the same critic about the psychoacoustic reductive theory of Helmholtz it will be difficult to speak of fraud about the 2 writers who dont know one another...
And what say Békésy:
«"The validity of Ohm’s law was always considered only as a first approach to a complex problem of
frequency analysis. It was always clear that the ear does not react like a simple Fourier frequency
analyzer. There is a very large set of experiments that show that Ohm’s law is only a first approach
and is not always leading to correct conclusions, even in the field of telephone engineering, where it
was so successful."
(Békésy, 1972
In 1961, he was awarded the Nobel Prize in Physiology or Medicine for his research on the function of the cochlea in the mammalian hearing organ
is Békésy a crook or a fraud also?
Then confusing pitch and frequencies is an error.....A bad technological habit....Not an understanding....
But it is only a beginning...
To be continued.........