Spilling in the context you are using it means "distortion". Frequencies, in and of themselves, in a linear system, do not "spill", they can be broadened by windowing, but that's about it. High frequency distortion can happen in tweeters, etc, but is usually not a good thing.
In-band distortions CAN be a thing that sounds good. Look at a guitar speaker (electric, obviously). It is part of the instrument's spectral response. Ditto foot pedals, etc. Ditto for vinyl, tape, etc. Distortion is not always bad.
Consider: When we reproduce a signal through 2 speakers, we are reproducing 2/8ths of the original information at THOSE TWO POINTS. In order to reproduce a real, similar soundfield analytically, thousands of channels (or more) are required.
Stereo is throwing away 99.9% plus of the information in a soundfield, so there is nothing to argue that some distortion can hurt, after all we've already thrown out most of the information, and "exact" isn't even remotely possible.
Yes, thank you, that's exactly what I meant; distortion from the outside human range manifesting audibly. I didn't express myself correctly; you did.
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To me, it sounds more safe to play music from an analog playback system (TT, R-2-R) than a digital one (hi-res audio files, DSD, ...);
because with analog you have less chances to blow things up (tweeters, subwoofer's overdriving, ...).
Yes, distortion exist in both, from various manifestations; needle inside the grooves (friction), motor's speed, belts from transports (TTs, R-2-R decks, CD/SACD players), IMH, THD, jitter, RIAA non-adjusted curve, phase anomalies, various harmonics (digital 1st, 2nd, 3rd, 4th, ...), airborne vibrations, driver's feedback, subsonic, etc., and within the audio range, and outside of it.
...Plus, from our own electrical supply (grid), 60Hz, electrical appliances (fridge, halogen lights, radios, switches, ...), wires (them too introduces distortion by receiving radio frequency waves), etc.
From amplifiers, preamplifiers (volume control, balance control, tone controls, ...), loudspeakers (drivers, crossovers, enclosures, vibrations, resonances, ringing, ...), sources like DVD/BD players, phono preamps, surround sound processors, tonearms, cartridges, ...
* Audio is more complex than just the music that is playing. The sum of all the parts plays an important role at eliminating all kind of undesirable noise, and some of that noise is pleasant for some of us as you just said.
This hobby is like a compromise between two very different worlds; preference and audibility.
For some silence is the ultimate peace, others prefer the smooth comfort of live music (classical chamber music, solo piano or cello, smooth jazz, ...), and others like Rock&Roll and Heavy Metal music with all the high decibels of distortion that normal human beings cannot abnormally support. ...Live or/and reproduced. ...Be it Blues, Rock, Jazz, World, Electronica, New Age, you name it.
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Questions: Are some electronic audio components (including mechanical loudspeakers) better at reproducing some specific music genre?
And is there such system(s) that's good/best for all?
Last, should we get familiar with all type of distortion, audible and non-audible? ...And what true relationship measurements have on audibility and preference?