Crowd Size and Physics of Pi(e):Yet another sizing post

[mtglass]

Good day all,

I wanted to bounce my experiences off you and see if you have guidance before I launch into my next build. I'm also searching for confirmation, since I'm reading and learning. We find our gigs, where we have to provide sound, are a mixture of indoor/outdoor from 100-500 people. My intention is to build a minimum of four (4) BFM design mains so that I have a basic rig. I may be wrong, but I find that two mains just can't do it, no matter how much spin the sales department puts on their product.

The problem is covering a 500 person audience outside. Given our catalog and style, our audience likes about 96-100dB SPL (c-weighted slow) average maximum, and 90db SPL average minimum. SPL peaks are 6-10dB above that, so I use 106dB peak as the maximum for the nearest crowd. Since SPL decreases by 6dB every time the distance doubles, it appears that I basically need an area that starts 25 feet from the mains extending to 75 feet. I know that falls off too much, approximately 10dB instead of 6dB, but even outdoors we're limited by venue "size" since they're usually blocking off streets, want people to get into the bar easily, etc. So, would you please let me know if that 25-75 foot distance makes sense to you? Or are there other ways, power shading, of setting up mains that would bring the crowd in closer and still provide the 6-10dB fall off.

I'll provide a concrete example. I'm sorry to use subs in the example, but I don't have experience with BFM mains yet. My 2 Titans hit 106dB at 40 Hz at 25 feet using about 55V (800W - 4 Ohm drivers); I need more Titans. Run that out to 75 feet, they are down to 96dB, about 10dB drop and reasonable coverage. So a 90 degree, quarter pie, wedge in-front of the stage gives me about 4000 sqft, or enough space for 500 people, assuming 6 sqft per person.

(3.14*75^2-3.14*25^2)/4/6 = 650 people

I guess what I'm saying is that sizing a PA comes down to the physics of packing people into a space with desired gradient of SPL. Is that how you size mains? I guessed at 6 sqft per person, thoughts? I'm also assuming 1/4 pie based on 45 degrees of axis, and of course that's venue specific even outdoors, but I'm also open to suggestions on the slice width. Obviously I'm simplifying the mains to a single point source with no distance between them. I can cover more people in less depth, by spreading the mains, but it's squishing a balloon of SPL that only produces so much: ie., I can only smooth out humps, not add more.

I have read many other sizing posts, and I apologize for duplicating what's in some of them, but I didn't see a direct discussion of "depth" of the crowd. It appears to me, that the depth, SPL fall off, is what actually determines the mains sizing. Pick an audience size, then some slice of a pie to fit that many people. Finally use those distances to size the mains: not too much for the close people, and enough for the far people. Or in other words, plan for the farthest experience using the amount of people that can reasonably fit into a space and plan on some complaints from the close people.

I hate to complicate it a little, but I also think some additional headroom should be built in to the system. If I expect a 106dB peak, then I plan for a mains that are capable of 112dB peak. Is that reasonable?

Best, and thank you!

[Bill Fitzmaurice]

I consult here, as a sound level monitor, so they don't get in trouble with the town: https://www.banknhpavilion.com/
The levels there in the FOH 75 feet from the stage with the loudest acts are 110dB'C' average, with 116dB'C' peaks. Most acts come in 10dB lower than that. If you're getting 96dB at 75 feet with two T48 you'll get 102dB with four. That puts you at pro-touring levels. Four DR250 or OTop 12 should keep up with them. More is OK, for added headroom, but you shouldn't need more than six of each no matter what.

[mtglass]

Thank you Bill. I did not expect a 6dB increase by going to four Titans. That would greatly reduce the pressure on the existing pair. Knowing 6 speakers max is also very helpful.

Do you have guidance on a listening curve? I find many of our listeners want a huge bump from the sub-woofer frequencies: often 12-15dB.

We don't have a problem with overall SPL due to law or ordinance since beyond the crowd is nothing but open field for miles. I use a cardioid setup, even with just my two Titans, to limit stage volume, with the added benefit that behind the stage (trailers) is town: they get next to nothing.

[Bill Fitzmaurice]

Bass is most prominent in the 60 to 90 Hz range, so if you want more thump that's where you boost EQ.

[Bruce Weldy]

I do the size crowd you are talking about....have been for many years. I use two OT12s per side and 6 T-39s total.

4 OT12s with the CD horns at 1.2k crossover will serve you well. Add 2 more T48s and you should be golden. You can always V-plate those T48s and get some more oomph out of 'em.

[himhimself]

I do the size crowd you are talking about....have been for many years. I use two OT12s per side and 6 T-39s total.

4 OT12s with the CD horns at 1.2k crossover will serve you well. Add 2 more T48s and you should be golden. You can always V-plate those T48s and get some more oomph out of 'em.

+1 to Bruce and Bill's recommendation of a couple 0tops per side. I've remained stunned at the output my Otops give. They'll easily support a whole herd of subs, which is where you need to put the focus for overall effortless massive sound that isn't harsh or exhausting to listen to

[Bruce Weldy]

I do the size crowd you are talking about....have been for many years. I use two OT12s per side and 6 T-39s total.

4 OT12s with the CD horns at 1.2k crossover will serve you well. Add 2 more T48s and you should be golden. You can always V-plate those T48s and get some more oomph out of 'em.

+1 to Bruce and Bill's recommendation of a couple 0tops per side. I've remained stunned at the output my Otops give. They'll easily support a whole herd of subs, which is where you need to put the focus for overall effortless massive sound that isn't harsh or exhausting to listen to

And even in an inside venue where one per side would be enough, run two anyway. Once the OT12s couple, the mids get sweet and warm....don't know why, but they do.

[Seth]

...Do you have guidance on a listening curve? I find many of our listeners want a huge bump from the sub-woofer frequencies: often 12-15dB.

This is a good place to start

[DaveMacKay]

This is a good place to start

That’s quite similar to what I measure at the main (MLP) and secondary (2LP) listening positions in my listening room (sorry for drifting a bit off-topic).

I created 3 different listening profiles, they differ only in how much the bass is boosted (blue = +20 dB SPL, green = +15 dB SPL, red = +10 dB SPL). I differ from the graph that Seth posted in that I also boosted the HF a little bit (for no good reason since I can't hear above 14 kHz anyway).

I have tri-amped La Scalas that cross over to my two THTLPs at 80Hz using a 4th order L-R. Each THTLP is driven by a 250W plate amp. The plate amps have a -24 dB/octave LPF at 125 Hz and a -12 dB/octave HPF at 25 Hz.

Creating the different configurations (listening profiles) took quite a lot of work.

• I used REW to help me configure the MiniDSP Flex Eight DSP output channels to get the 1m measurements from each speaker as flat as I could.

• I used REW to take measurements for use with MSO (Multi-Sub Optimizer) to minimize the subwoofer variation between the two listening positions. MSO generated configurations for the DSP output channels for each THTLP.

• After that, I worked with Dirac by adjusting the target curves to tailor the sound to my taste and to deal with some of the challenges my room presents. Dirac generated configurations for the input channels on the DSP.

I'd thought I’d overdone it on the bass, but I like the way it sounds. Nice to see that I’m not totally out in left field.

[Bill Fitzmaurice]

That amount of bass makes perfect sense when you look at an equal loudness chart.

[mtglass]

As a musician, I don't like a huge hump in EQ if it's too steep or starts/ends in weird places, because it's a struggle to keep dynamics nice and smooth through a scale. Most often that's due to an unexpected hump when a newer sound guy doesn't know how to EQ a room: hat-tip @DaveMacKay. However equal loudness charts certainly have a huge fall off which the 12-15dB hump would help with. I've never heard it called equal loudness, thank you @Bill Fitzmaurice, I always approached it through the A-weighted human perception of loudness, thank you!

I have seen @Seth's chart before, and I freely admit Seth, that I stole and use your "crossover to create the bottom end EQ" math in addition to your cardioid math: thank you! And not to leave @Bruce Weldy out, I have followed your threads and am generally using them as a guideline for sizing / validation. In fact when I started I was going to do exactly what you did, but then I let my helper talk me into T48s because if we're building, might as well build.

I'm sorry @himhimself, I don't have experience with BFM mains, but soon. I do expect, as you and Bruce noted, that I'll always use at least two per side: it just makes sense to even out the frequency response (to me at least.) Although even now, I sometimes only use "one side" based on room / crowd size. I never mix stereo, just mono.

Can any of you speak to DR280/DR250/OTop 12? I'm a bit nervous about the complexity of the DR line, but then it's just wood so it might take a few tries. I also think that since I'm retired, there's no reason not to build the "top of the line" even if it takes extra time. However, if I can get what I need out of OTop 12's, why would I invite extra complexity if it's unnecessary? I would like to crossover to T48s pretty low 80Hz - 100Hz. That's because I'm try to avoid the "weird" sound cardioid arrays make outside of their tuning zone. It looks like any of those three mains would work fine. A DR250 has a significant lead on an OTop 12 at 100Hz, but then I'll get a boost from the subs at crossover so it doesn't really matter. (That's all just how I see it and a question, please and thank you!) In the end I lean towards build DR250s as it looks like the best bang for the buck, even though it'll take me more time.

EDIT: I forgot to mention, that I think I'd build OTop 12 JArrays, so the difficulty between a OTop12 JArray / DR 250 doesn't seem that big?

[Bill Fitzmaurice]

Building a DR250 is not more difficult than an OTop 12 JArray, it just takes longer.

[Tom Smit]

I built two DR250s on the hood of my retired Volvo wagon in my back yard, years ago when I was just starting. That means that it is attainable for you mtglass. By the way, have you looked at the OTop8?