So I asked perplexity and got this response… so sine waves do exist “approximately” naturally, the others do not.
Natural waves are more complex and irregular and overlap making less “clean” waves. So, does that mean digital waves are too “clean” to precise and that’s why they lack “soul”? Just a thought.
Been thinking along similar lines.
Basically, a synth produces a sine wave, square wave, or saw wave in most cases at the basis (whether for electronic drum sounds, melodic sounds etc.)
Now, perfect sine waves don't occur in nature, but
all natural waveforms can theoretically be decomposed into sine waves (mathematically), i.e. these are sort of the "building blocks" of sound, interacting with each other in complex ways (like many different ripples on water producing patterns).
This means that using pure sine waves to create sound is sort of an artificial "deconstruction" and focusses accoustic power sort of one-dimensionally.
Perhaps a good analogy is how a laser works: normally, light is very complex as seen in nature, and it can be beautiful, like when you watch a sunrise. Now a laser takes a very small part of the spectrum and focuses it in a powerful beam - which can do great harm to the body. I mean, in laser surgery it is literally used to burn and decompose flesh, so there you go...
Similarly, a sine wave is an artificial powerful acoustic "beam" that doesn't really carry information, but just raw energy, which I suppose can bypass the body's natural state of being "tuned to the natural acoustic environment" and do harm.
Also note that if a pure sinewave as a building block is one end, noise is the other end (per Grok:)
White noise (idealized) has a flat continuous spectrum → infinitely many sine waves with equal power density.
So the world of natural sound exists on a spectrum between a pure sine wave on one end and white noise at the other - both of which are very unpleasant to the ear: a pure sine wave is like a needle piercing the body, and white noise is like crashing into a wall. Beauty, creativity, and pleasant sound lie between those extremes in infinite perturbations.
Now, this could mean that if the synthesizer sound is heavily filtered, modulated etc., which it almost always is, this could make it less bad, since this introduces overtones, distortions etc., making the sound more "natural" (it's also more pleasing to the ear as a consequence). But the problem still remains that these sounds are built on an "unnatural" foundation, and parts of the negative consequences remain - you can still hear these basic "deconstructed" artificial waveforms in there.
"Anti-human" in this context means that here in 3D we live in a natural, "human" acoustic environment that carries information produced by processes that generate complex patterns to which we are attuned. Brute-forcing artificial sounds that use the "raw building blocks" into our environment introduces an "alien element" that "pierces" our natural human attunement, and is therefore "anti-human".
Some more on the math by Grok:
Prompt: Can all natural sounds theoretically be resolved into sine waveforms?
Yes, in theory — with very few practically relevant caveats —
all natural sounds can be decomposed (resolved) into sine waves.This is one of the most powerful and useful results in mathematical physics and signal processing. Here's the reasoning broken down clearly:
- Fourier's theorem (periodic case)
Any periodic waveform (repeating forever in both directions) with finite power can be exactly represented as an infinite sum of sine and cosine waves whose frequencies are integer multiples (harmonics) of the fundamental frequency.
- Fourier transform (non-periodic / finite-duration case)
Virtually all real-world sounds are not perfectly periodic forever.
The modern Fourier transform (or more precisely the continuous-time Fourier transform) generalizes the idea:
Any "reasonable" sound pressure signal s(t) — meaning it has finite energy or at least finite power in any finite time interval — can be represented as a continuous superposition (integral) of sine and cosine waves (or complex exponentials) at every possible frequency, not just harmonics. Mathematically, under very mild conditions (s(t) ∈ L²(ℝ) or even just locally integrable with some decay), we have:s(t) = ∫_{-∞}^{∞} S(f) e^{i 2π f t} df
(or equivalently using sines & cosines)where S(f) is the frequency content (spectrum).
- What "all natural sounds" satisfy
Real physical sound signals are:
- finite in duration (nothing vibrates from t = -∞ to +∞),
- band-limited in practice (air molecules can't transmit arbitrarily high frequencies),
- square-integrable over any finite time (∫ |s(t)|² dt < ∞ on any interval),
→ they fall comfortably into the class of functions to which the Fourier transform applies.→ they can be represented — to any desired precision — as a sum/integral of sine waves of different frequencies, amplitudes, and phases.
Important practical & theoretical footnotes
- Pure infinite-duration sine waves do not exist in nature — real sounds start and stop → their spectra have some spread (no Dirac delta at one exact frequency).
- Infinite number of sine waves are usually needed for perfect representation (especially for transients, clicks, percussive sounds, or noise-like sounds like wind/water).
- White noise (idealized) has a flat continuous spectrum → infinitely many sine waves with equal power density.
- In digital audio we truncate both time and frequency range → we get a very good but never mathematically perfect reconstruction (Nyquist-Shannon applies here).
Bottom line (2026 perspective)
Yes — theoretically, every physically realizable natural sound (speech, bird song, thunder, ocean waves, a door slam, a violin note, etc.) can be exactly decomposed into (possibly continuously many) sine waves via the Fourier transform.This is not just a convenient approximation; it's a mathematically exact equivalence for all signals we encounter in the real world. The sine wave is special because:
- it is the eigenfunction of linear time-invariant systems (resonators, filters, the ear, air propagation, etc.),
- it is the only waveform that remains unchanged in shape when passed through a linear filter (only amplitude & phase change).
That's why nature "likes" to be analyzed in sine waves, even though pure sines almost never occur alone in the wild.