3,500/dollar?
Well, how about a stock Small Sun ZY-C10-S that does 63,000 candela (by lux you actually mean candela I hope?). So, do the math and 63,000 candela for $14 from Manafont is 4,500 candela/dollar. That's stock - I tweaked it up to 76,000 candela by switching the wires to 22 gauge, sanding down the pill top and back of star, using AS5, and that's about it. Figure $15 total for 76,000 candela: 5,066 candela/dollar.
Note: I ordered 2 C10-S's, one came with a EZ900 XR-E that did 63 kcd, the other came with a EZ1000 XR-E that did 50 kcd.
Also did a Convoy C8 host with a de-domed XP-G2 that does 127 kcd for under $30 in parts, so, 127000/30 = 4,233 candela/dollar
You could also look at stock Jacob A60 the same way - long throw, cheap investment.
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For lux vs. candela, lux is basically a measurement of light, but candela is light at a distance of 1 meter, so ANSI/NEMA set the throw standard in candela units. You measure in lux, then convert your result to candela units -- that's how we should do it. Oh, and you should probably avoid doing the measurement at 1 meter because it's not very accurate - measure a precise distance in meters, and do the math to convert back to 1 meter, results is in candela units.
Ex: At 4.3 meters, I measure 3,000 lux on my meter at best spot from scanning the center beam (dark room, try to eliminate reflective input to the meter)
So, 4.3 x 4.3 = 18.49,
18.49 x 3,000 = 55,470,
so throw measurement is 55 kcd (I truncate)
Equation is: (d2) x (lux)