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While not microscopically precise, I found it interesting - because dropping down from a 50W to 20W amplifier does not make it significantly quieter in practical terms...
In a nutshell - it would appear that to halve the perceived volume, you need to reduce wattage to 1/10th (10%) of what it was.
Compared to a 50W amp:
40 watts is 94% as loud as 50 watts.
30 watts is 86% as loud as 50 watts.
22 watts is 78% as loud as 50 watts.
20 watts is 76% as loud as 50 watts.
18 watts is 74% as loud as 50 watts.
10 watts is 62% as loud as 50 watts.
5 watts is 50% as loud as 50 watts.
1 watt is 31% as loud as 50 watts.
0.5 watt is 25% as loud as 50 watts.
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Comments
In a band mix it's even more noticeable, especially when you go from an amp that's about 3dB quieter than the rest of the mix - basically inaudible - to one that's 3dB louder than the mix - overpoweringly loud. That's only a 6dB change, which is equivalent to four times the power, but it can be nearly as much as that with only a 3dB change (twice the power) if it's also from 'under the mix' to 'over the mix'. EQ/voicing also makes a big difference, especially in the upper mids where the ear is most sensitive.
"Take these three items, some WD-40, a vise grip, and a roll of duct tape. Any man worth his salt can fix almost any problem with this stuff alone." - Walt Kowalski
"Just because I don't care, doesn't mean I don't understand." - Homer Simpson
For example, if your max squat in the gym is 50kg, if someone loaded 100kg on the bar the extra weight would be crushing.
I can squat 100kg easily, but if you put 200kg on the bar it would be crushing for me.
So similarly I play guitar quite loud at work, cranking a 50w amp is not out of the question - just not for very long. Most people who don't get to do that would find that sort of volume overpowering because most home situations don't allow more than 5w of audio output before neighbours start getting annoyed.
A 30w with a Vintage 30 supposedly as loud as a 60 watter through a Creamback!?! Impossible to even try and account for all the variables.
I get that he needs to set an overall mix that he can control in the context of an overall FOH volume level, but I need my amp to be at a half decent level on stage or it's just not very enjoyable. The room had a capacity of 200 people. so it wasn't a wee pub. and the FOH level was such that you had to talk loudly into people ears to be heard, so it wasn't exactly a quiet gig.
I just can't see me ever needing a 50 watt or 100 watt amp, unless I was playing an outdoor gig.
All variable.
I use various amps and pedals to get a good sound at various volumes. I actually don't like it too loud as I sing and there's a top volume before things start howling.
Today, playing in 99% of pubs 20w is more than sufficient especially if you have a decent PA, unless you have someone else on that stage being a prick.
I always have my amp at around 45 degrees to the front of the stage and also angled up to avoid beaming the audience and so that the other guys in the band can hear me, especially if the amp isn't in the monitor mix.
I played bass in a band that had ahem a sound engineer. The band played whilst I transposed the chords. Soundman shouted at me I was too loud. I said I wasn't playing. He said if you were you would have been too loud. Band leader asked him to stand down shortly after.
There were a series of gigs in one week two bands a night short changeover. soundman. was nearly deaf. He had an assistant who helped him and they did a great job. One night the assistant was ill. He still did a better job than most I've worked against.
Modern venues and presumably modern sound engineers want a quiet stage. It's sound reinforcement not sound control.
Once, at one of the only gigs I've ever used my own 4x12" at, as I wheeled it onto the stage a voice came from the monitors - "John, you're too loud!" . I recognised the voice though (a sound engineer I knew quite well), and knew it was a joke, so I thought "I'll show you what Too Loud is... " and set up my 50W Fender Bassman head at 7/7/7 - into full power stage overdrive - and played a few chords. The Voice then said "Are you *really* going to play at that volume?" To which I replied "Is it a problem?" There was then a long pause, and finally he said "Actually, you're about right" (this was quite a big club) "so it will save me the bother of mic'ing you up. Have fun!". I played the whole gig at that volume and it was the best sound I've ever had on stage.
"Take these three items, some WD-40, a vise grip, and a roll of duct tape. Any man worth his salt can fix almost any problem with this stuff alone." - Walt Kowalski
"Just because I don't care, doesn't mean I don't understand." - Homer Simpson
• Youtube - https://www.youtube.com/@Goldeneraguitars
When I had a 100W 2x12" I used to typically play it with the MV at about 11 o'clock. One day after having to carry it back up to my 2nd-floor flat, I decided to measure the power output, and buy a smaller amp of whatever power that was - to my surprise it was only 11W, so I bought a 15W amp. It *was* "loud" enough, but it had nowhere to go in terms of dynamics, and it sounded a bit 'small'. Over the years I traded up to bigger and bigger amps, until finally I got 'my sound' back when I reached a... 100W 2x12".
And I still play at the same volume I always have, about 10-15W. It's total nonsense that a big amp is too loud, or overkill, or being wasted, or doesn't sound as good turned down as a smaller one turned up - it all depends on what you want from it, and personally I prefer the big amp sound. It may be too heavy or I may be too old, but that's a different problem .
"Take these three items, some WD-40, a vise grip, and a roll of duct tape. Any man worth his salt can fix almost any problem with this stuff alone." - Walt Kowalski
"Just because I don't care, doesn't mean I don't understand." - Homer Simpson
...in other words pretty much what @ICBM said. A 5 watt amp won't sound the same as a bigger amp, especially if it's cranked into meltdown and the bigger one isn't...
My trading feedback: https://www.thefretboard.co.uk/discussion/210335/yorkie