Tripath TK2050 into high impedance load

I have a Dayton DTA-100a amplifier. It's a Tripath TK2050 based design.
I have been using it with my AKG K-1000 headphones which are rated at 120 Ohm and require 1W to play at normal to loud level. They were designed to work with regular power amps and come with appropriate cables.
I do like the sound of the combination, but I'm EQ'ing out around 7kHz-10kHz to make the headphones sound sweet and balanced.
Could that be due to Tripath not liking higher loads and possibly resonating up there or am I just hearing natural cone breakups of the headphone drivers?
Is it possible to simulate the TK2050 frequency response into 120 Ohm? I googled but came up empty so far.
 
You cannot use any class D amplifier on a load far outside it's operating range.

The entire function of any class D amplifier requires an output filter to reshape the output from PWM signals to analogue signals.

In any commonly available class D amp not specifically designed for high impedance loads this output filter is designed for a load of 4 or 8 ohms, or somewhere in between, usually 6 ohms.

Driving loads 20 times higher than what the output filter is designed for will mean the filter has a completely different XO point and Q.
 
You cannot use any class D amplifier on a load far outside it's operating range.

The entire function of any class D amplifier requires an output filter to reshape the output from PWM signals to analogue signals.

In any commonly available class D amp not specifically designed for high impedance loads this output filter is designed for a load of 4 or 8 ohms, or somewhere in between, usually 6 ohms.

Driving loads 20 times higher than what the output filter is designed for will mean the filter has a completely different XO point and Q.

I have a 2020 amp connected to a pair of vintage 15ohm speakers and they sound great.
I paired them up, as an experiment, not expecting too much but I have made the match permanent
 
Thanks for the responses.
I went with two Rane TF-4 transformers, which I owned for a while now but didn't use and I really like what I'm hearing.
The sound got authority and I don't detect the peaking response anymore, other than the K-1000's natural brightness, which I treat with some EQ anyway.
Here is the link to the transformer:
MA 4 Multichannel Amplifier
It has 8 Ohm primary and two secondaries one for 50 Ohm load and one for 100 Ohm load. I'm using the second tap.