My opinion:
Monk > Ti Hi-Z 32 > Monk +
So I have not done it for myself and I was stuck at work so I did this for myself but thought I would share. This is my opinion only and not "facts". As a point of reference my favorite sound is an HD600 through a little dot MK3 tube amp. I wish it extended a bit deeper in bass but the detail and smoothness is for me.
I compared the e600, monk+, TY Hi-Z HP32, rx1. I did it through my phone(HTC m8) first but this is through the dragonfly black just to make sure there were no power/amp issues. These are songs that I use to test most of my headphones so I know them well. the order that I tried them was e600->monk+->Ty Hi-Z HP32->Rx1 so that I mixed up the strengths and didn't get "numb". All with no eq and no foam.
Corinne Rae - Trouble Sleeping (Female Vocals)
E660 - good bass but does not interfere. Clear vocals and back up singers detailed but still harmonize. Good detail in the highs.
Monk+ - bass is there but seems detail focus not impact focus. Corrine more centered with harmony being a bit more separated but not distracting. Highs feel just a step below vocals and can get lost.
TY Hi-Z HP32- bass seems to bleed a bit into the vocals and seems "blended" vocals seems to have great details separately but blend together more. highs present and detailed
RX1 - Vocals... "no" bass just the indication that they are there in the song. detailed highs... saxophone really comes out with this.
I switched the order the E600 and Ty Hi-Z HP32 are too similar to have that separated for me.
Commodores - Easy (male vocals)
RX1- Highs and Vocals. every thing is represented with details. Vocals nicely separated
Monk + - Brought back that bass detail. Vocals separated and clear. highs clear
TY Hi-Z HP32 - Bass with some good impact. Feels like the mids are behind the bass and highs present in line with the vocals
E600 - Bass more in line with vocals highs also feel more balanced with good details
James Blake - The Wilhelm Scream (separation)
E600 - Good separation feels natural but not very wide. sound drifts naturally off
TY Hi-Z HP32 - feels very narrow not timed right( not sure how to describe it)
Monk + - Similar to the Ty Hi-Z HP32
RX1 - Widest separation but not crazy separated. Rolls off nicely
ZZ Top - Sharp Dressed man (Rock)
RX1 - Nice soundstage and details on the guitar. Male vocal feels hollow. No congestion.
Monk + - More rounded sound but feels like the details are lost more on guitar. Vocals feel fuller and less soundstage
TY Hi-Z HP32 - Bass impact, good solid sound. Feels a bit congested and details get a bit lost in parts of the song.
E600 - better sound stage than the Ty Hi-Z HP32. a bit more balanced with mids being there. Details not as great for guitar but a bit better than Ty Hi-Z HP32
Sukh Knight - Diesel not Petrol (BASS)
E600 - Nice clean impactful bass that fades off nicely with an air to it. muddy "sub bass"
Ty Hi-Z HP32 - ... there is that sub bass. This is what this is for
Monk + - detailed. Oddly there was one drum that had really great impact but it felt out of place. very "detailed" but not full bass
RX1 - Sounds like the bass has a sore throat and just coughs the beat. it is all there but like Airy.
Darius Rucker - Wagon Wheel (Multiple vocal harmony)
RX1 - Each singer is distinct. Great sounding vocals. Banjo sounds great.
Monk + - Female vocal is separate but male voice sometimes gets mixed. better balance
Ty Hi-Z HP32 - No real separation on the vocals. Can here the differences but not where they sing the same
E600 - The male vocals seems more separated than the female voices. still blended together a bit more.
Overall impressions
Darkest -> Brightest
Ty Hi-Z HP32->E600->Monk+->RX1
Increasing Detail
Ty Hi-Z HP32->Monk+~~E600->Rx1
Unbalance to Balanced
RX1->Ty Hi-Z HP32->Monk+->E600
Bass Extension worst to best
RX1->Monk+->E600->Ty Hi-Z HP32
Trebble extension worst to best
Ty Hi-Z HP32->E600->Monk+->RX1
Mids worst to best
Ty Hi-Z HP32->Monk +->E600->RX1
If you want to analyze vocals and details... RX1
if you want to have bass extension.... Ty Hi-Z HP32
the compromise between those two is monk+ and E600 but I feel that E600 is the better compromise for me.
Not sound related but I found it interesting, the Ty Hi-Z HP32 are reverse polarized. The earbuds stick to all the other earbuds while the others all repel each other.
the others all repel each other.