If you have a multimeter with a thermocouple, the very best thing you can do is start with that table (or any other that is sort of equidistant - see the temperatures column goes in 10C and 20C increments - e.g. adc values are sort of well split for zones of interest). Mount thermocouple on barrel or better inside barrel, then take a temperature from table, e.g. 150C give command in host to raise to that temperature, wait for temp to stabilize then notice that thermocouple reads say 155C, then replace in table 150 with 155. Do that for all temperatures, at least ones of high interest, then you got yourself a table that is calibrated against thermocouple. You can then upload the modified table and it should be better than any other table copied over the net.
This way it really does not even matter what thermistor you use, what is beta, or anything else, all the electronics could be inside a black box for what we care. Its just thermocouple feedback calibration process, thats all. So imho, on short, do it like that, and forget about beta and all rest. Its much better if you start with a table that has adc values well distributed like that one, but its not necessary. Imo this is best thing to do, as long as you have a multimeter with a thermocouple, or if you can borrow one.
This way it really does not even matter what thermistor you use, what is beta, or anything else, all the electronics could be inside a black box for what we care. Its just thermocouple feedback calibration process, thats all. So imho, on short, do it like that, and forget about beta and all rest. Its much better if you start with a table that has adc values well distributed like that one, but its not necessary. Imo this is best thing to do, as long as you have a multimeter with a thermocouple, or if you can borrow one.