The P models are supposed to be better for audio. 2015-P and 2016-P. I'm tempted by both, but have no experience with either.
I see the 2015THD model frequently around that price.
FYI, just to be clear, there’s no such thing as a “2015THD”. (Implying the existence of a non-THD version of the 2015.)
The model numbers in the series are 2015, 2015-P, 2016, and 2016-P. All of them can measure THD.
The 2015 and 2016 are the “THD multimeters”.
The 2015-P and 2016-P are the “audio analyzing multimeters”. (The P versions add spectrum analysis. The P is for “peak”, as in “peak spectral components”, per the datasheet.)
The 2015(-P) has 4V output, the 2016(-P) has 8V output. Other than that, identical.
The reason people mistakenly think there is a “2015THD” is simply because the front panel says “2015 THD Multimeter”. But that isn’t intended to mean [2015 THD]+[Multimeter], it’s actually [2015]+[THD Multimeter].