Stellar Classification Limits: Temperature & Magnitude

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Is there a specific limit that defines the boundaries of each classification category?

For example, a main sequence G class star is between X and Y temperatures and has an absolute magnitude between A and B Solar units.

Or, an O hypergiant is between X and Y temperatures and has an absolute magnitude between A and B Solar units.

Along those lines. Essentially, something mathematical that can be used to plug in the characteristics of a star and will produce the classification.

So, if I have a star that has a temperature of 5699K and a Mabs of 0.9M, it pops out with a G2IV (the "2" is just a guess from eyeballing an HR chart).

Or, are the classifications not that explicit?
 
on Phys.org
In terms of temperature and luminosity that's what the HR diagrams shows, the star's classifications.
 
Well, yes, but the various charts I've found are not in total agreement on the boundaries.

I've found several tables listing numeric limits for, say, a 'K'-class star, but there is a substantial variance in the listed or pictured properties.

For example, one table I have says a 'K'-class star has a temperature range of 3.5 kK to 5 kK, whereas another has just 5.3 kK, not even an average, but totally outside the bounds listed in the other table.

It looks like stellar classification is a very subjective matter and I'm trying to determine if I am wrong and that there is a set definition that determines a star's spectral type, its luminosity class and its Yerkes class.

If it is truly all subjective, then I can go with that, but I would expect that there are set, objective boundaries.
 

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