Area spectrum of horizon and black hole entropy

We calculate the number of degrees of freedom in spin network states related to the general area spectrum in loop quantum gravity based on the ABCK framework. We find that a black hole entropy (the logarithm of the degrees of freedom) is proportional to its area but it provides us with a different value of the Barbero–Immirzi parameter (γ=0.9284… or 0.7274…). It means that one should be careful in choosing the area spectrum when we describe a horizon area in full quantum gravity