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What is the sweet spot for WPC?

I've never experienced this with low-power versus high-power. That said, I've never done a controlled back-to-back comparison of high versus low power, so I won't dismiss the possibility, but I've never seen any correlation between output power and sound quality...

-- as long as the amp isn't clipping -- you should get the exact same sound from two different amps when the only difference between them is power output rating.

Try it ...

I understand what you're saying, but the devil may be in the definition of "clipping" ...
Certainly if adequate headroom isn't available then the amp is going to fail to completely reproduce the peaks .. and that's going to affect the output even if it isn't necessarily measurable "distortion" per se ...
Certainly, some of the music is going to be missing ..

And I assume that you're essentially saying that provided both amps have adequate capacity you should "get the same sound" ... which makes sense given no variations other than wpc ....
But adequate amplifier capacity with every full-range Acoustic suspension system that I've ever owned is definitely not 20 watts ..
At 20 watts... what bass there is will be recessed and thin .. and the music will sound compressed, and canned compared to the same system with 100 or so wpc
 
Try it ...

I understand what you're saying, but the devil may be in the definition of "clipping" ...
Certainly if adequate headroom isn't available then the amp is going to fail to completely reproduce the peaks .. and that's going to affect the output even if it isn't necessarily measurable "distortion" per se ...
Certainly, some of the music is going to be missing ..

And I assume that you're essentially saying that provided both amps have adequate capacity you should "get the same sound" ... which makes sense given no variations other than wpc ....
But adequate amplifier capacity with every full-range Acoustic suspension system that I've ever owned is definitely not 20 watts ..
At 20 watts... what bass there is will be recessed and thin .. and the music will sound compressed, and canned compared to the same system with 100 or so wpc

That's pretty much the reason that Solid State amps eclipsed tube amps back in the late 60's .. Big tube power is possible, but it's insanely expensive.

I think that I'm essentially trying to point to the fact that there are audible distortions that aren't necessarily measurable electrical distortions ..
Probably mostly distortions of the cone as it's working (smearing, ringing, overshoot).. ..and more power seems to result in better control.
 
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I'd make a case less about audio performance and more about design. For a conventional solid-state Class AB design, the 50-70 watt range is a good spot because it allows for good design decisions.

* It's often high enough in the product stack that you're getting most of the mainstream features. The 20-watt unit at the bottom of the line often lacks inputs or meters most of us want.
* It's still architecturally simple-- you can build a circuit that size with one pair of outputs per channel, which avoids matching and uneven wear issues.
* Thermals are reasonably manageable. You can heatsink the living daylights out of the unit and have it liftable and conventional sized. You probably don't need a fan or heatpipes.
 
I'd make a case less about audio performance and more about design. For a conventional solid-state Class AB design, the 50-70 watt range is a good spot because it allows for good design decisions.

* It's often high enough in the product stack that you're getting most of the mainstream features. The 20-watt unit at the bottom of the line often lacks inputs or meters most of us want.
* It's still architecturally simple-- you can build a circuit that size with one pair of outputs per channel, which avoids matching and uneven wear issues.
* Thermals are reasonably manageable. You can heatsink the living daylights out of the unit and have it liftable and conventional sized. You probably don't need a fan or heatpipes.


Way off topic, but who uses heatpipes?

I have only seen one in my life. I had a cell mate (cubicle mate) that kept one on his desk. If you asked him what it was he would have you stir a fresh cup of coffee with it. The extremely fast heat transfer was always a shock to folks. Me included. I thought I had a relatively broad technical background, but I had never heard of a heatpipe (or heat pipe?).
 
The sweet spot for me is when my bank account says “ I can’t”.

The sweet spot for me is when my bank account says “I can". LOL. Meaning what do I want and what can I afford. I spend way too much time up late on Ebay perusing things I don't need... Last two integrated amps that I bought were $90 and $65 respectively. A Technics SU-V707 and an MCS 3860. The Technics ran into a bit of extra cost so now I might have closer to $200 in it but it was a project and I had to complete it...
 
Way off topic, but who uses heatpipes?

I have only seen one in my life. I had a cell mate (cubicle mate) that kept one on his desk. If you asked him what it was he would have you stir a fresh cup of coffee with it. The extremely fast heat transfer was always a shock to folks. Me included. I thought I had a relatively broad technical background, but I had never heard of a heatpipe (or heat pipe?).

My mid 80s Technics SU-V75 had a heatpipe in it. They work well. Used in computer coolers as well in conjunction with a fan to cool the CPU.
 
Some good responses, but some that are clearly defenses of what people like in their own situations and use cases.

IME this is much more accurate for a system in a house, it shows 50 watts to be enough.
https://myhometheater.homestead.com/splcalculator.html

Agreed--this matches quite closely what I see when I analyze my room. Notice the room reinforcement resulting from reflective walls enclosing the space, which is greater for greater distances. As mentioned, the Crown guidance does not consider that effect, so for the same other parameters (speaker efficiency, distance, etc.), it will recommend vastly more power.

I have 91dB/2.83v rms @1m sensitive speakers (equivalent to 91dB/W that is cited here). I drive them using mono Benchmark AHB2s that deliver the equivalent of 360W/ch, also the bass units have 200W/ch class D amps and the two sub woofers are 400W/CH class D.
There are times when the clipping approaching indicators flash on the AHB2s.
That's the cost of being able to get down to 16Hz essentially flat and having high dynamic range music with 20dB crest factors- that means the average power is a few watts RMS, but the peak is 100x as much.

This is, to me, the most important point, said in several ways in this thread. The bigger amps simply never run out of headroom. An orchestra pianissimo might be 55 dB SPL from a given listening position, while a cymbal crash might have a 105 dB peak for a brief instant, even from the audience perspective. That's a 50 dB difference. If that violin pianissimo sounds great at 1 watt, the cymbal crash will need 80 watts. One of my use cases is playing orchestral music at the same SPL that I would experience when sitting on the back row of the orchestra, so I can play along on my tuba and not have to hold back. I have measured SPL peaks of 108 dB from fortissimo tympani strikes, from a distance of five feet. So, I want my system to be able to deliver 108 dB SPL for those kinds of peaks. I was using one pair of Advent Loudspeakers and a 125-watt amp--not enough in my current space. Two pairs of Advents driven by two 125-watt amps proved to be enough. The home theater calculator above, that considers room effects, suggested 180 watts (equivalent to two amps at 90 watts in my setup).

Those sharp peaks may occur when the average SPL is only 85 dB SPL, which is a solid, sustained orchestra forte at a listening position on the stage. That room calculator tells me that with my Advents, I only need a single watt.

What that means is that those Advents sound pretty great with a 35-WPC amp, and that's what I used for many years. When I bought it, the speakers were 3 feet from my head in a college dorm room. But that amp will compress the dynamics by clipping the sharpest peaks when I play it loudly sitting 10 feet away in a larger living room. Those peaks tended to be so brief and fleeting that the clipping wasn't noticed as clipping so much as a general lack of dynamic sparkle. I moved to a 125-watt amp in those days, and that was fine for general listening in a room that isn't too dead. That became my new sweet spot for a while, until I started wanting to play along. I moved to a 250-watt amp of mediocre quality, and what it lacked in sonic smoothness it made up for in dynamics. With my current two 125-watt amps, I'm at my latest 250 wpc sweet spot with smooth-sounding amps. But it wouldn't take much--truly dynamic jazz recordings with an exciting drummer, for example, to need 500 or 1000 watts to fully form those transient peaks at "in room" levels.

In the days of vinyl, recordings were compressed just enough to fit the material into the dynamic range of the medium. And I never play vinyl records that loud anyway--it seems to me a 108 dB transient will almost assuredly result in audible microphonics in a cartridge, even assuming the transient peak doesn't make the needle jump out of the groove.

For much pop music, the material simply doesn't have that kind of dynamic range, and the recordings are massively compressed as a result of the Loudness Wars. Playing that stuff at wife-complaining RMS average of 85 dB SPL (again, 1 watt) just won't demand those 108-dB SPL peaks.

Most of the time, of course, I listen at much lower volumes. But I think the low-wattage folks underestimate the sharpness of the peaks in dynamic music, and the power it takes to supply the necessary voltage (without running out of current). And before I get the lecture about hearing loss, let me remind you that a cymbal crash or tympani strike may attain that 108 dB from six feet away for only a few milliseconds. Average listening level will be far lower. But I still try to arrange seating when I play in my current groups (which are wind bands) so that I'm not right in front of the tympanist.

Neither one ...

Everyone talks about the db level of the music, but nobody talks about the qualities of the music ..

Acoustic Suspension speakers gain in dynamics and naturalness of reproduction with more power ....
Not sure what to call the qualities that improve separation between the instruments and definition of the notes ... just sounds more natural.
The music is more lively and the bass definition is tighter, quicker, little details come alive...
There is less of the constrained, un-natural sound that says "radio" .... not real music.

I would guess that it's related to available peak headroom ..
And I'm addicted to fast, tight well defined AS bass notes ..

It's easy to hear .. listen to an AS speaker with 20wpc and then upwards of 100wpc ..
It will sound like someone changed speakers on the system ..

This is another aspect of the same idea--acoustic suspension speakers, which are my favorites for the same reasons, damp cone motion using the sealed cabinet, and need big power to overcome that damping for the sharp peaks. In return for that big power, they don't create resonant boominess that I hear in ported speakers that ring at mid-bass frequencies. Porting makes a small driver sound big, but lots of funny stuff happens in the interaction between the driver and the port. Any ported speakers I can afford sound boomy compared to acoustic suspension designs, and they make me grumble if I'm playing music where I really want mid-bass clarity.

Rick "for whom the sweet spot is 250 wpc (or two amps driving two pairs of speakers at 125 wpc each) to listen to orchestral music at realistic levels, in a large, open-concept living space" Denney
 
For my Living room`s Tri-amplified Mc. XRT 30 speaker system, with crossover at 80 &1700 Hz which are fairly insensitive @ 87 DB..

For the "Sweet Spot" WPC for realistic listening SPL`s require 3000 RMS watts total : (2) Mc. MC 1201`s (2400 watts total) for the (4) 12" woofers in the (2) AS bass cabinets..
And for the (2) mid & high frequency line array`s with their butt load of drivers would require (4) Mc. MC 275LE`s each in the mono configuration(150 watts each) @ 600 watts total output available..

When I first tried to get away with just (2) MC 275LE`s in the stereo mode, but it was very quickly apparent that wasn`t going to be enough Mid/high power to properly blend with the MC 1201`s bass output if that system was to play any dynamic digital music at realistic SPL`s without any mid/high frequency power output compression effects, before clipping..

I realized many yrs. ago with ample power available, sound systems played at realistic program SPL`s don`t sound as loud as would be thought they were being played, as there is no power compression, or hint of clipping, and because of this sound more airy/transparent IMHO/E.

Ciao
 
Some good responses, but some that are clearly defenses of what people like in their own situations and use cases.



Agreed--this matches quite closely what I see when I analyze my room. Notice the room reinforcement resulting from reflective walls enclosing the space, which is greater for greater distances. As mentioned, the Crown guidance does not consider that effect, so for the same other parameters (speaker efficiency, distance, etc.), it will recommend vastly more power.



This is, to me, the most important point, said in several ways in this thread. The bigger amps simply never run out of headroom. An orchestra pianissimo might be 55 dB SPL from a given listening position, while a cymbal crash might have a 105 dB peak for a brief instant, even from the audience perspective. That's a 50 dB difference. If that violin pianissimo sounds great at 1 watt, the cymbal crash will need 80 watts. One of my use cases is playing orchestral music at the same SPL that I would experience when sitting on the back row of the orchestra, so I can play along on my tuba and not have to hold back. I have measured SPL peaks of 108 dB from fortissimo tympani strikes, from a distance of five feet. So, I want my system to be able to deliver 108 dB SPL for those kinds of peaks. I was using one pair of Advent Loudspeakers and a 125-watt amp--not enough in my current space. Two pairs of Advents driven by two 125-watt amps proved to be enough. The home theater calculator above, that considers room effects, suggested 180 watts (equivalent to two amps at 90 watts in my setup).

Those sharp peaks may occur when the average SPL is only 85 dB SPL, which is a solid, sustained orchestra forte at a listening position on the stage. That room calculator tells me that with my Advents, I only need a single watt.

What that means is that those Advents sound pretty great with a 35-WPC amp, and that's what I used for many years. When I bought it, the speakers were 3 feet from my head in a college dorm room. But that amp will compress the dynamics by clipping the sharpest peaks when I play it loudly sitting 10 feet away in a larger living room. Those peaks tended to be so brief and fleeting that the clipping wasn't noticed as clipping so much as a general lack of dynamic sparkle. I moved to a 125-watt amp in those days, and that was fine for general listening in a room that isn't too dead. That became my new sweet spot for a while, until I started wanting to play along. I moved to a 250-watt amp of mediocre quality, and what it lacked in sonic smoothness it made up for in dynamics. With my current two 125-watt amps, I'm at my latest 250 wpc sweet spot with smooth-sounding amps. But it wouldn't take much--truly dynamic jazz recordings with an exciting drummer, for example, to need 500 or 1000 watts to fully form those transient peaks at "in room" levels.

In the days of vinyl, recordings were compressed just enough to fit the material into the dynamic range of the medium. And I never play vinyl records that loud anyway--it seems to me a 108 dB transient will almost assuredly result in audible microphonics in a cartridge, even assuming the transient peak doesn't make the needle jump out of the groove.

For much pop music, the material simply doesn't have that kind of dynamic range, and the recordings are massively compressed as a result of the Loudness Wars. Playing that stuff at wife-complaining RMS average of 85 dB SPL (again, 1 watt) just won't demand those 108-dB SPL peaks.

Most of the time, of course, I listen at much lower volumes. But I think the low-wattage folks underestimate the sharpness of the peaks in dynamic music, and the power it takes to supply the necessary voltage (without running out of current). And before I get the lecture about hearing loss, let me remind you that a cymbal crash or tympani strike may attain that 108 dB from six feet away for only a few milliseconds. Average listening level will be far lower. But I still try to arrange seating when I play in my current groups (which are wind bands) so that I'm not right in front of the tympanist.



This is another aspect of the same idea--acoustic suspension speakers, which are my favorites for the same reasons, damp cone motion using the sealed cabinet, and need big power to overcome that damping for the sharp peaks. In return for that big power, they don't create resonant boominess that I hear in ported speakers that ring at mid-bass frequencies. Porting makes a small driver sound big, but lots of funny stuff happens in the interaction between the driver and the port. Any ported speakers I can afford sound boomy compared to acoustic suspension designs, and they make me grumble if I'm playing music where I really want mid-bass clarity.

Rick "for whom the sweet spot is 250 wpc (or two amps driving two pairs of speakers at 125 wpc each) to listen to orchestral music at realistic levels, in a large, open-concept living space" Denney

Well, 50dB is a ratio of 10^5 in power, or 300 in voltage. Your 1W pianissimo would require a 100kW amplifier to meet the transient you defined.
About 1/3 of the transient power generated by a 75 piece orchestra is the bass drum. That's why you need a large voltage compliance range to avoid limiting in once sense or another if your system is not band limited at the low end, or the music source is not heavily compressed.
Remember that human hearing has a dynamic range of c. 120dB, but your top notch LP using a MC cartridge has probably c. 75dBA dynamic range at a "nominal" cartridge output (5cm/s, 1kHz), 87dB-89dB at the point where miss-tracking occurs, and a SINAD of 40dB or so if you're lucky. Yes, humans can interpolate music into the noise-somewhat- but that ability degrades rapidly as loudness drops. Digital, on the other hand, can actually realize the full 120dB when the source has 24 bits- and then you are limited by the SINAD of your converter and amplifier path, and few converters and amplifiers can do this.
The converter/preamp/amp combo that I have can realize a SINAD and actual dynamic range, as measured using many tone signals, of between 114 and 117dB- darn close to the range of human hearing. I would argue that the "sweet spot" is at or slightly beyond this capability. Of course the SINAD of the speakers is nowhere close to this- even though they are electrostatic, but that is a different matter.
By the way the Benchmark amps, for all of their massive output power, are quite small, light, highly efficient, essentially bullet proof, and are totally quiet in operation. They also have what is nominally a class AB output stage, albeit with stepped power rails.
 
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Some good responses, but some that are clearly defenses of what people like in their own situations and use cases.



Agreed--this matches quite closely what I see when I analyze my room. Notice the room reinforcement resulting from reflective walls enclosing the space, which is greater for greater distances. As mentioned, the Crown guidance does not consider that effect, so for the same other parameters (speaker efficiency, distance, etc.), it will recommend vastly more power.



This is, to me, the most important point, said in several ways in this thread. The bigger amps simply never run out of headroom. An orchestra pianissimo might be 55 dB SPL from a given listening position, while a cymbal crash might have a 105 dB peak for a brief instant, even from the audience perspective. That's a 50 dB difference. If that violin pianissimo sounds great at 1 watt, the cymbal crash will need 80 watts. One of my use cases is playing orchestral music at the same SPL that I would experience when sitting on the back row of the orchestra, so I can play along on my tuba and not have to hold back. I have measured SPL peaks of 108 dB from fortissimo tympani strikes, from a distance of five feet. So, I want my system to be able to deliver 108 dB SPL for those kinds of peaks. I was using one pair of Advent Loudspeakers and a 125-watt amp--not enough in my current space. Two pairs of Advents driven by two 125-watt amps proved to be enough. The home theater calculator above, that considers room effects, suggested 180 watts (equivalent to two amps at 90 watts in my setup).

Those sharp peaks may occur when the average SPL is only 85 dB SPL, which is a solid, sustained orchestra forte at a listening position on the stage. That room calculator tells me that with my Advents, I only need a single watt.

What that means is that those Advents sound pretty great with a 35-WPC amp, and that's what I used for many years. When I bought it, the speakers were 3 feet from my head in a college dorm room. But that amp will compress the dynamics by clipping the sharpest peaks when I play it loudly sitting 10 feet away in a larger living room. Those peaks tended to be so brief and fleeting that the clipping wasn't noticed as clipping so much as a general lack of dynamic sparkle. I moved to a 125-watt amp in those days, and that was fine for general listening in a room that isn't too dead. That became my new sweet spot for a while, until I started wanting to play along. I moved to a 250-watt amp of mediocre quality, and what it lacked in sonic smoothness it made up for in dynamics. With my current two 125-watt amps, I'm at my latest 250 wpc sweet spot with smooth-sounding amps. But it wouldn't take much--truly dynamic jazz recordings with an exciting drummer, for example, to need 500 or 1000 watts to fully form those transient peaks at "in room" levels.

In the days of vinyl, recordings were compressed just enough to fit the material into the dynamic range of the medium. And I never play vinyl records that loud anyway--it seems to me a 108 dB transient will almost assuredly result in audible microphonics in a cartridge, even assuming the transient peak doesn't make the needle jump out of the groove.

For much pop music, the material simply doesn't have that kind of dynamic range, and the recordings are massively compressed as a result of the Loudness Wars. Playing that stuff at wife-complaining RMS average of 85 dB SPL (again, 1 watt) just won't demand those 108-dB SPL peaks.

Most of the time, of course, I listen at much lower volumes. But I think the low-wattage folks underestimate the sharpness of the peaks in dynamic music, and the power it takes to supply the necessary voltage (without running out of current). And before I get the lecture about hearing loss, let me remind you that a cymbal crash or tympani strike may attain that 108 dB from six feet away for only a few milliseconds. Average listening level will be far lower. But I still try to arrange seating when I play in my current groups (which are wind bands) so that I'm not right in front of the tympanist.



This is another aspect of the same idea--acoustic suspension speakers, which are my favorites for the same reasons, damp cone motion using the sealed cabinet, and need big power to overcome that damping for the sharp peaks. In return for that big power, they don't create resonant boominess that I hear in ported speakers that ring at mid-bass frequencies. Porting makes a small driver sound big, but lots of funny stuff happens in the interaction between the driver and the port. Any ported speakers I can afford sound boomy compared to acoustic suspension designs, and they make me grumble if I'm playing music where I really want mid-bass clarity.

Rick "for whom the sweet spot is 250 wpc (or two amps driving two pairs of speakers at 125 wpc each) to listen to orchestral music at realistic levels, in a large, open-concept living space" Denney

You certainly make the point much more effectively than I did ..
If I could like 2x or 4x .. well
 
Some good responses, but some that are clearly defenses of what people like in their own situations and use cases.

Most of the time, of course, I listen at much lower volumes. But I think the low-wattage folks underestimate the sharpness of the peaks in dynamic music, and the power it takes to supply the necessary voltage (without running out of current). And before I get the lecture about hearing loss, let me remind you that a cymbal crash or tympani strike may attain that 108 dB from six feet away for only a few milliseconds. Average listening level will be far lower.

Better get some Danley SH-50 horns and a 2,000 watt amp; otherwise you are getting some clipping.
No, I'm not joking.

This is, to me, the most important point, said in several ways in this thread. The bigger amps simply never run out of headroom. An orchestra pianissimo might be 55 dB SPL from a given listening position, while a cymbal crash might have a 105 dB peak for a brief instant, even from the audience perspective. That's a 50 dB difference. If that violin pianissimo sounds great at 1 watt, the cymbal crash will need 80 watts.

55 dB with 1 watt?
A former member was always going on about how much power was needed for peaks; the problem, he always started with 25 watts average. :rolleyes:
Please check the numbers again starting with 0.1 watt for 55 dB
 
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Better get some Danley SH-50 horns and a 2,000 watt amp; otherwise you are getting some clipping.
No, I'm not joking.



55 dB with 1 watt?
A former member was always going on about how much power was needed for peaks; the problem, he always started with 25 watts average. :rolleyes:
Please check the numbers again starting with 0.1 watt for 55 dB
It can be calculated.
For example my speakers are 91dB sensitivity @1W, 1m. Assume the listener is at 3m distance then the sensitivity is c. 81dB @1W (assuming inverse square law applies) so 55dB SPL would require -26dBW, or 0.05W- pretty close to your estimate, and actually lower.
This would still require a 5000W amp to reproduce the transient that was described, which is quite close to the set up I described earlier.
 
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It can be calculated.

Yes it can, but I don't believe* 2 speakers in a typical listening room drop over 10 dBs at 10 feet.
I like to deal with things based on my experience verses uncertain numbers.

Unrelated: What I infer from some posters comments is that low power lovers have never used/tried "big" power.
1,000 watt mono amps? Sure, sold them, I'll take a lot lower power and hopefully trade quantity for quality.

*perhaps in a seriously over damped room, but measurements that I have taken show a much lower loss of spl. with distance in my rooms
 
It can be calculated.
For example my speakers are 91dB sensitivity @1W, 1m. Assume the listener is at 3m distance then the sensitivity is c. 81dB @1W (assuming inverse square law applies) so 55dB SPL would require -26dBW, or 0.05W- pretty close to your estimate, and actually lower.
This would still require a 500W amp to reproduce the transient that was described, which is quite close to the set up I described earlier.

The inverse square law is valid when there are no reflections or other room effects. That is, it works for an anechoic chamber where the only sound sensed is that radiated directly from the speaker. But in the real world using real rooms, the inverse square law goes out the window because the listener hears the speakers and all the reflections in the room.

The difference in SPL in my listening room between 1 meter and 3 meters is detectable by my ears, and my RTA shows about 5 to 6 dB difference (when playing noise through one speaker), not anywhere near 10 dB.
 
The inverse square law is valid when there are no reflections or other room effects. That is, it works for an anechoic chamber where the only sound sensed is that radiated directly from the speaker. But in the real world using real rooms, the inverse square law goes out the window because the listener hears the speakers and all the reflections in the room.

The difference in SPL in my listening room between 1 meter and 3 meters is detectable by my ears, and my RTA shows about 5 to 6 dB difference (when playing noise through one speaker), not anywhere near 10 dB.
Ok. So the difference is 4dB. Big deal. It really doesn't change the point does it?
 
It can be calculated.

Math counts or matters or . . . something. :D

Ok. So the difference is 4dB. Big deal. It really doesn't change the point does it?

Precision matters. If you are going to the effort to calculate something, do it correctly or don't bother wasting time.

dB is logrithmic. 4 dB is still 2-1/2 times difference in power. 5 dB is about 3.2 times. According to some, there is no difference between a 100 wpc amp and one of 250 to 320 wpc. Others beg to differ.
 
Math counts or matters or . . . something. :D



Precision matters. If you are going to the effort to calculate something, do it correctly or don't bother wasting time.

dB is logrithmic. 4 dB is still 2-1/2 times difference in power. 5 dB is about 3.2 times. According to some, there is no difference between a 100 wpc amp and one of 250 to 320 wpc. Others beg to differ.
The point is that in order to reproduce music at realistic amplitudes with realistic dynamics you will need power capabilities that are extremely high. The calculations are between, what 2kW and 10kW with a reasonably sensitive speaker system. Not 1W or 10W or 100W.
I cite a system with a total of c. 2kW, and 800+ watts max if you only want to reference the Benchmark amps. Hardly your 100w/ch level is it...
And yes, I am , obviously, well versed in the math.
Oh and your divergence from square law depends strongly on all sorts of room parameters.
It could easily be argued that a suitable hifi room would not exhibit the reverberation/reflection characteristics that would permit that level of deviation from the inverse square law. In fact, in my listening room it corresponds very closely to the inverse square law- about 8dB reduction at 3m compared to 1m. Mostly the deviation from ideality is due to low frequency "room gain" and multiple subs/woofers/equalization etc. has tamed that.
You're not the only one that can use a SPL measure...
 
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Yep—my numbers were dumb. 55 dB is three orders of magnitude below 85dB. If I needed a watt for 85 dB, 55 dB would be .001 watts. 105 dB is two orders of magnitude above a watt, so a hundred watts. But the point still stands. More headroom is better, in ways we don’t perceive because we underestimate the power demands of true dynamic peaks.

There is always the question of how much is enough. I think replicating the 120 dB range of human hearing (or of young person human hearing) is going to be out of reach for most folks. But 90 dB is an enormous difference over 60-70 dB, and we listen to that with sublime facial expressions. Even that takes big power with inefficient speakers, if we are trying to get the quietest bits above the typical residential noise floor (which in my house is about 50 dB as I recall). Getting all the dynamics of redbook CD needs a quiet house and bigger power. I’m not sure orchestras make sounds in that wide a range, because they have to be heard above audience noise.

But the tympani strike that is 108 dB SPL where I sit in my wind symphony will be (barely) 108 dB SPL at my home, if it’s recorded with that much dynamic range. Which it usually isn’t.

Rick “sizing for measurable peaks” Denney
 
Yep—my numbers were dumb. 55 dB is three orders of magnitude below 85dB. If I needed a watt for 85 dB, 55 dB would be .001 watts. 105 dB is two orders of magnitude above a watt, so a hundred watts. But the point still stands. More headroom is better, in ways we don’t perceive because we underestimate the power demands of true dynamic peaks.

There is always the question of how much is enough. I think replicating the 120 dB range of human hearing (or of young person human hearing) is going to be out of reach for most folks. But 90 dB is an enormous difference over 60-70 dB, and we listen to that with sublime facial expressions. Even that takes big power with inefficient speakers, if we are trying to get the quietest bits above the typical residential noise floor (which in my house is about 50 dB as I recall). Getting all the dynamics of redbook CD needs a quiet house and bigger power. I’m not sure orchestras make sounds in that wide a range, because they have to be heard above audience noise.

But the tympani strike that is 108 dB SPL where I sit in my wind symphony will be (barely) 108 dB SPL at my home, if it’s recorded with that much dynamic range. Which it usually isn’t.

Rick “sizing for measurable peaks” Denney
We concur. I have sized my system to accommodate realistic music levels, dynamic range, and dynamic peaks, consistent with the sensitivity of my speakers and my listening room/listening position. Most people have no idea what that implies.
What other definition of "sweet spot" makes any logical sense?
 
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