Your question opens a can of worms!
First off, there isn't really a music file format called HD. It's known as HiRes, short for high resolution. Amazon has a music service called HD, but that's because the wider public will associated more easily with the HD branding of video/TV.
I'll forego the many audiophile arguments as to whether HiRes is actually worth it. This argument is already routed in the creation of CDs which were meticulously designed with the limitations of human hearing in mind. Therefore, although HiRes has more detail/wider frequency production, it's argued you can't hear the difference anyway.
Your Android phone will be capable of playing FLAC files, and much will depend on how those files are ripped. If your FLAC file is a conversion of a 320kbps MP3, you'll be getting only 320 delivered via a different format.
I'm making nothing other than guess here. Albeit I do wade in as someone who spends too much money on headphones and earphones.
You have a decent enough pair of headphones, and assuming the FLAC files are ripped from a good source (i.e. a CD), I'd say the phone is the bottle neck. More accurately the phone's inbuilt DAC and headphone amp.
Most manufacturers give like thought to phones producing a decent sound via the 3.5mm jack.
A general rule, MP3s are capped at a data rate of 320kbps, CDs are limited to 1,411kbps. I use FLAC ripped from HiRes sources and some of those have bit rates far in excess of 5,000.
I stand to be corrected, but the LDAC Bluetooth format which is a proprietary to Sony and is licensed to Android devices, has a maximum transfer rate of 990kbps.
Despite many wireless branding the HD or HiRes banner, there is data loss and therefore quality loss. Wires is always better in a like for like situation.
In direct answer to your question. I'd say you are getting "HD" sound from your FLAC files. I would just make sure the FLAC files you are ripping are from a decent source.
I would note your headphones are rated 70ohms, which isn't massively power hungry, but you would certainly not be getting the best from them, again, the phone is the bottleneck. I'd suggest you invest in an external DAC like one of these...
https://www.richersounds.com/audioqu...fly-black.html
But you will require a USB c to a, OTG cable to use it. Or you could look at this...
https://www.advancedmp3players.co.uk...put.15447.html
Both take the digital signal from your phone, and apply it to a much better DAC and amplifier.
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