The SE846 is a rather unique pair of earphones. Ask a few around, I hated them at first sight but after hearing them out twice and thrice, the 846 is now in my pocket for every bus and plane ride I take. The clarity, tonality and headstage and soundstage and realism for a earphone is rather impressive.
Of course it can't hold a candle to speakers or larger headphones (open cans especially) but I can't use both of them on public transport can I? I did quite a few tweaks to my system for my 846 though and despite of that, the tonality is not perfect for every genre but it is great for most.
I swapped the blue (neutral) filters for white (treble) and swap the cable to Null Audio Arete (bring up mids and also comfort level). My amplifier is the Alo Audio National (Increase headstage, soundstage, improve instrument separation, clarity and to sum up bring an upgrade across the board). This setup of mine works great for jazz, instruments, classical and vocals, and also do good enough for pop.
However, the cable swap caused a significant bass decrease that causes me to yearn for more when I listen to my electronic music, but as usual there is no "one-size-fit-all" option or rather "one-tone-fit-all". However, a cable swap would easily allow me to indulge in my electronic music once again.
I don't think many have such a wide taste of music (I find this sort of troublesome), so it would be easier to deal with. This is because each genre of music usually requires a certain type of tonality. Eg. Warmth for Vocals, Bass for Electronic.
So my recommendation to kfki, hear them out again. Try different filters, cables, sources, amplifications. Other than that, check if the screw is tight (extremely dry sound if it is loose).