Would someone translate this into English for those of us not attuned to Master Bader's expertise?
Turboprop engines, like turbojet engines, are designed for efficiency in a particular operating range,which is near the rated operating speed for the engine. You may think of operations at lower speeds as operating in too low a gear in a bicycle or car; one is "lugging it." Operating too fast is working too hard; usually on takeoff.
There is an altitude range, and one particular altitude, at which the flight may be operated under a given set of conditions (aircraft weight, outside air temperature) most efficiently. This is the best specific fuel consumption. If one operates higher than that altitude at that weight and temperature, one is not efficient; speed suffers, and fuel consumption is at a higher rate. The aircraft must fly at a higher angle of attack, drag increases, more power is required to do the same job.
At lower altitudes than optimum for a given weight/temperature, one is not operating efficiently enough. Operating the engine at a lesser power setting means operating at slower, less efficient engine speeds, and specific fuel consumption increases. The purpose of flying high is to reach a point where the engine is able to be operated within it's most efficient range, and this concept is applicable to turboprops, turbojets, and turbofans.
Turboprops can be operated quite efficiently, especially at high altitudes, if the airframe will get there, but the limiting factor is the airframe. This is why the Piaggio does wonderfully at FL410 while the King Air limits out at 270, and struggles much above the low 20's.
Turbocharged piston airplanes don't experience these constraints or benefits; the primary issue with the turbocharger is the ability to restore manifold pressure (or increase it). Turbopropeller engines also experience limiting cross-over effects as they climb, where the engine may be torque-limiting at lower altitudes, it becomes temperature-limiting at higher altitudes: it "torques-out" down low, but "temps-out" up high. Many turboprop engines are this way. The engine will reach torque limits at low altitudes, and temperature limits at high altitudes. Turbine engines differ in one critical aspect from pistons, however, in that adding fuel to a turbine engine keeps increasing speed and temperature, while the same isn't true in a piston engine.
Turbopropeller engines are also their own form of turbocharger; that's the purpose of the compressor and diffuser: increase airflow and pressure, and the engine does this quite well all the way well up into the flight levels. The problem is the wing; it's efficient within a narrow angle of attack range in cruise.
The King Air has a great wing for low altitude operations. It's not a great high altitude wing. The same can be said of most other turboprops, most of which are scarcely efficient, high performers or speed-demons. Turboprops are relatively economical, and they're versatile. They tend to takeoff and land fairl short, fly at reasonably high altitudes, have a modest fuel burn, and they don't break the bank. They're far more reliable than piston airplanes, and they move the operation to a slightly higher state of affairs than a piston airplane. One could say that turboprops are a jack of all trades, but master of none.
It seems like with turbo a critical piece of equipment would be some sort of graphic engine monitor, right?
Critical, no. Very useful, yes.
Multi-point monitoring where one can track and trend individual cylinders is more useful for continued observation of operational engine health. It allows one to spot trouble and account for it early, as well as address individual cylinder inefficiency, injector blockage, etc.