Pitch - Frequency ---- Intensity - Dynamics

They are different ways of calling the same thing in different contexts. If you speak with a physicist, you must discuss frequency; if with a musician, the pitch of a sound. The same goes for what concerns dynamics and intensity.

Physically, you have to think of sound waves like the arabesques that form in a mirror of still water when you throw a stone. Obviously, in the case of sound, things become much more complex in reality; indeed, the arabesques are created relative to the surface of the water, but with sound it is not so, because sound waves in a free field propagate spherically and the intensity is calculated as follows: I = W/(4*pi*r^2) (I need to insert an equation editor on the forum), however, we are interested in that image.

Now imagine throwing a stone from a certain height, say one meter; this will produce waves of a certain intensity. Imagine throwing the same stone from a height of 10 meters. The ripples will be much more evident (the thickness of these waves created relative to the surface of the water in its still state represents exactly the intensity). In this case, I use the term intensity since we are not talking about sound waves and even if the concept is the same, the term "dynamics", in the sense that we are looking for, is specifically linked to sound. In physics, in fact, when studying the "dynamics" of a body, we mean the search for the physical laws that underlie the movement of that body.

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Hello

Do you think this reasoning is correct? ->

The frequency of a sound wave generates a precise pitch, just as the force with which we pluck an instrument's string, for example, creates intensity (determined precisely by dynamics) which in turn originates the amplitude of the sound vibrations and therefore the amplitude of the wave, also determining a certain "amount" of volume

In summary: frequency determines the pitch of the sound just as dynamics create a certain intensity which in turn determines the amplitude of the sound wave.

Intensity is therefore given by the force with which any sounding body is excited and therefore by the amplitude of its vibrations.
and it is thanks to the intensity or the amplitude that we can distinguish a loud sound from a soft one.

Exactly. I would only avoid saying this phrase: "just as dynamics create a certain intensity". Dynamics do not create an 'intensity'; dynamics and intensity in this context are synonyms. What creates intensity and therefore dynamics is only the force that is, a priori, imposed on the physical body to make it vibrate.

You must analyze everything microscopically... The necessary condition for any event is force. Without a force, an object continues to maintain its state of rest.

When you strike an object, say a glass with a fork, you set it into vibration, and to vibrate means that it will move back and forth in space relative to its point of rest. This displacement also sets in motion the air located along its perimeter, thus generating a sound wave. The characteristics of this wave depend on the physical and geometric characteristics of the object you struck... Physical, because they depend on the material (less elastic materials tend to vibrate faster and therefore produce higher frequencies compared to more elastic materials); take for example a glass cup and the same cup made of plastic: the former will produce a higher frequency than the latter. And then they also depend on geometry; usually similar objects that differ, for example, in length produce different frequencies. If we take two solid tubes of the same diameter, of the same material with the same thickness, but one is longer than the other, they will produce different frequencies. In particular, the shorter one will produce a higher frequency.

The amplitude of the wave resulting from their vibration depends on how hard the object we set into vibration was struck/plucked.

I am therefore pointing out to you that the fundamental frequency is a physical characteristic associated with an object set into vibration having certain physical and geometric characteristics, and it is independent of how hard it was struck. Force can then generate different acoustic effects in the listener, as the development of harmonics depends on how hard the object was struck. A demonstration of this can be found, for ease of understanding, for example in the piano.

Playing a key with little force produces a sound that, to us perceiving it, is uniform; if you strike the same key very hard, the sound will result in being more metallic, even though its fundamental frequency remains the same (you hear, for example, a C in both cases). This happens because the amplitude of the higher harmonics begins to be considerable, and in your cognitive universe, you notice the difference in timbre. It is not by chance that timbre is determined by the set formed by the fundamental frequency and all its harmonics; therefore, if these begin to be appreciable, the cognitive "modification" of the timbre begins to become evident.

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