Hot air is "less dense" air...and so costs you in loss of hp. That's why high density altitudes cause a loss of performance. The proof of that statement is: The hotter air is less dense, therefore contains fewer molecules of oxygen and consequently the mixture is too rich....therefore re-leaning becomes necessary in order to reduce the fuel to more efficient levels. Less fuel equals fewer BTU's equals less power.
It's certainly true enough, a six-probe EGT gauge is certainly more informative than a single probe, as is a 6-probe CHT more informative than a single-probe, especially for troubleshooting. It's unlikely in my opinion that digital gauges are significantly better (for the money) than analog ones in this installation for troubleshooting, but maybe.
As for simple leaning of this engine EGT's (digital or analog) are of no particular advantage. Max RPM is obtainable with or without them.
(This might be a personal-preference idiosycrasy of mine. I had digital EGT in my C-206 and it about drove me nuts, especially at night with the constant "dance" the numbers did. 1455, no-1456, no-1454, no-1458, and on and on and on. I thought it pretty distracting when all I wanted to know was when max EGT was reached and I wanted to run 25-degrees
generally richer. But if other gauges in the cockpit were digital, then perhaps it wouldn't have stood out like a sore thumb so.)
I gave it away and bought an analog EGT.
Joe: "...we don't have a clue as to how much horsepower we have at any given second, all we have is a tach, the view out the window, throttle control, mixture, and airspeed indicator."
That's not correct, Joe. We have more than a clue, we have a power chart. And an altimeter, and a temperature gauge. All to be used in order to set power correctly.
Joe: "...If the throttle is all the way in and it doesn't look like you are going to clear the trees, then you know you don't have enough horsepower for that situation. If you are crusing along at 5,000 feet at 2450 RPM, you have all the horsepower you need. It seems like an unnecessary complication to include horsepower in RPM settings while in flight because it cannot be measured in our airplanes. 65% power setting sounds like it would be close to 1/2 of your available throttle control..."
In order to know if you're going to clear the trees before it's too late.....we consult the takeoff/landing distance charts in Section V of the Owners Manual (or read the same chart in the Approved Flight Manual) ...which already/automatically takes into consideration the power charts/density altitude....and give the distances required. Quite right, if you are cruising at 2450 rpm/5,000' you may not be overly concerned about it, ...BUT...it might interest you to realize that (by consulting the chart) you could climb up to 7,000', obtain the same % power setting, take advantage of the winds and save fuel! Without an understanding of that chart you'd not have that advantage, you'd simply be feeling like the victim of circumstances. As for 65% sounding like it should be close to 1/2 throttle,...consider this: If the air at 5,000' is thinner than at sea level, then less fuel can be completely burned in the same volumetric engine cylinders. (The cylinders don't change size, but the density of air inside them sure did.) So since we're burning less fuel, then we're making less power. You'll have to push that throttle MORE than 1/2 way in just to maintain the SAME power.
And THAT's the value of the charts, to give us a way to determine/predict such things.
If you continue to just use RPM instead of relating it to the power charts, Joe, ...you'll never keep up with the rest of the fleet!
Anyways, simple RPM alone is not the measure of % power any more than simple passenger count is the measure of take-off weight.
Scenario: "Let's see now, last winter when I took off from this location I cleared the trees by 20 feet, and I only had full fuel and 3 little kids with me...that's 4 people total, right? So I only have 4 people today too! So no problem! (Must not be important that they're 4 fatties and the temperature is 100 and the density altitude is 7,000. This engine will still make 2350 rpm for takeoff, so the power must be the same! HP doesn't count...only RPM counts! Right?) H e r e w e g o o o o !! %@%$#%$# TREES!!!!
[PostScript: Just FYI: There actually IS a guage that will show a direct readout of power, called a BMEP gauge. It was found in the big old airliners of a bygone era, the DC-6's/7's, Connies, etc. It utilized an oil pressure transducer which read torque at the propeller, and had automatically compensated for temp/altitude (density altitude) and gave a direct reading which I think was referred to as Brake Mean Equivalent Power. Much too complicated and expensive an installation for a C170 though.]