I'm interested in people's opinions about how low the lowest frequency a subwoofer/woofer can produce with "acceptably low" distortion should be.
I'm interested only in the lowest frequency that can be heard, not just felt, regardless of how high the spl level needs to be for that to happen.
I'm at my PC and now have time for a proper response....
This is an interesting question, and I don't believe there is an objectively right or wrong answer.
I would refer you to the research on Low Frequency Hearing Thresholds for Different Age Groups. You will find measurements--such as the graphic embedded below--from research conducted over different time periods, and there's a convergence of data that demonstrates audibility down to somewhere between 2-3hz; in no case was the required SPL in excess of 123db.
Audibility is not the same as having musical tonality which, as the article points out, ceases at around 20hz. I have daily access to a system capable of reproducing audible output down to at least 6hz, and I can confirm the sensations described in the research: Tonality gives way to pressure somewhere around 20hz, with the sensation of pressure continuing down to +/-10hz, and individual puffs or cycles that you can basically count out below 10hz. The purpose built room doesn't rattle during these tests, but that's probably not the norm.
Here's where we're at, so far...
Option 1:
If you only care about tonality, 20hz is probably your answer. If you care about theoretical audibility, the sky is pretty much the limit with 2-3hz and 123db of output. But what good is theoretical audibility without content?
Option 2:
If you only listen to acoustic music and don't care about organ music, 25hz is probably fine. If you listen to non-acoustic music, solid 20hz performance is superior, and 16hz covers organ notes. I think the organ notes are neat, and they're the passages likely to elicit goosebumps and a request to 'play that again'.
If you play rap, electronic music, bass heavy music, or use the system for home theater, there is some content down to around 6-8hz. Do you care? No right or wrong answer here, just a personal decision.
Industry professionals also don't agree on how much extension is needed; for example, during a home theater seminar, one industry representative argued that 25hz is sufficient extension, while another said getting down into the infrasonic was transformative. I'm no help here, because I agree with both of them some of the time.
You asked for opinions on extension and output, and I shared mine in post numbers 126 and 225. All things being equal, wild excesses are not necessary, more is generally better, but not if that means sacrificing other aspects of playback system performance.
I did not define above "acceptably low distortion" or "loud"-please give your own opinions on what values those should be.
"How loud" is referenced in the posts linked above, but impossible to answer in the form of subwoofer output since room size, distance to MLP, room gain (or lack thereof), etc. call come into play. Therefore I referenced in room SPL (at the MLP). For distortion there are, again, no concrete answers; but here are a few thoughts.
Option 1:
Reference the CEA-2010A or newer CEA-2010B criteria which you can access here.
Option 2:
Ensure that the harmonics of the fundamental at your maximum desired output across the subwoofer's bandwidth never exceed the threshold of audibility for their respective frequencies based on the SPL frequency audibility chart above. This would likely require your own testing.
Option 3:
Trust that the higher frequency content in the source material will almost assuredly mask distortion in any competent subwoofer that isn't being pushed beyond it's limit. If you don't hear audible distortion, don't worry about it. If you do hear distortion, buy a second/third/fourth sub, or buy a higher performance sub.
Keep in mind that multiple subs are beneficial for smoothing in-room response as well. And as stated in prior posts, none of this answers the subwoofer output question, because it will depend on how a given sub performs in each room.
I am interested in people's opinions as to whether the spl level of the lowest frequency that can be heard needs to be so high to sound "loud" that it will cause hearing damage.
I don't believe anyone truly knows the answer to this question (I certainly don't), but I referenced a study in post #223:
Effect of infrasound on cochlear damage from exposure to a 4-kHz octave band of noise.
Yes, this was a study conducted on Chinchillas, not people, but don't count on volunteers for a human study anytime soon.
Here are the key points/findings from the study for for consideration (Disclaimer, I don't have expertise in the field and welcome experts to provide insight and clarification as needed):
In the animals exposed to the 4-kHz [Octave Band of Noise] at 108 dB SPL, there were larger functional losses and much greater hair-cell loss in the cochlea that was simultaneously exposed to infrasound. [bold mine] We hypothesize that the presence of infrasound during this intense 4-kHz OBN exposure increased cochlear damage because infrasound caused more intermixing of cochlear fluids through the damaged reticular lamina than that which occurred during the intense 4-kHz OBN exposure alone.
The presence of infrasound during a 4-kHz OBN exposure at 86 dB SPL did not increase hair-cell loss and functional losses. We hypothesize that the combined exposure did not increase structural damage or functional losses because the reticular lamina is rarely injured during moderate-level, 4-kHz OBN exposures.
I don't know if Chinchilla ear anatomy fully replicates the acoustic amplification of the human ear canal for frequencies between 1 and 5khz, but if it doesn't, we might not take comfort in the lack of damage with the 4khz 86db test since--based on an excellent post by Floyd Toole (and linked by @NTK)--humans can have permanent hearing loss induced by SPLs as low as 75db at 4khz. If humans are susceptible to damage above 75db at 4khz, then is it possible that humans could also experience increased functional loss at relatively low SPLs compared to Chinchilla's in the presence of infrasonic acoustic energy? I don't know. I will note that the study's authors did not attempt to correlate the Chinchilla spl exposures to human exposures, other than to say:
The combination of intense infrasound and intense noise can be found in a number of workplaces such as large ships, submarines, offshore oil and gas platforms and around large combustion sources (e.g., Leventhall, 2006; Alves-Pereira and Castelo Branco, 2006). This combination may also occur in non-workplace settings such as automobiles, airplanes and concerts. The present findings suggest that exposure to intense noise plus infrasound produces more damage to the OC than an intense noise alone. [bold mine]
If human hearing loss can occur based on noise alone above 75db, then there is nothing in the article to suggest that infrasonics could not have a deleterious effect at those relatively low levels. In my unprofessional opinion, caution is warranted.
What spl level at 20Hz is the threshold for causing hearing damage if listened to continuously?
I have no idea.
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