is that the 4700 thats 135 i think right?
If you want 135 W AVR you should go with either the AVR-X8500HA or the SR8015. Again, keep in mind unless you need the features of those two flagship class AVRs, the 3700 and the 4700 are the sweet spots. Never mind 140 W, the difference between 150 W vs the 4700's rated 125 W is only 0.8 dB. That means instead of listening at reference level, at whatever your volume setting is, just lower if by 1 to 2 clicks the 125 W amp will do be as good, all else being equal.
That's why to put things in perspective, it is much more about your listening habits and distance.
a) you need double the amp output power to gain 3 dB SPL.
b) you lose 6 dB SPL every time your seating distance doubles.
Again, because your distance is only 7 ft (surprising, based on the photos but I guess its the camera angle etc..) you can get away even without an external amp as others may suggest.
I suggested a 3 channel amp for you LCR only because you indicated you listen to -5 on from reference but like to go reference once and a while for showing friends..., and you LSi speakers are mostly truly 4 ohm nominal, and likely have dips to or below 3 ohms plus potentially not too nice phase angle. I realize your 507 can get you reference level, but there is no available bench measurements so if measured on the bench, that avr might in fact be capable of outputting well above 300 W into two channels through the Lsi15 during the real world music or movie peaks. The X3700H alone won't be able to do that because we do have it's measurements from the ASR bench tests.
The graph below shows the 3700 could do 168 W at about 0.007% THD+N at the knee point but would reach almost 200 W (190 or so just to eyeball it) by the time it reached about 1% THD THD that most bench test sites consider as the "clipping point".
If you are going to start off by trying just the AVR, please be sure to put a couple 120 mm usb fans on top.
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