Here are some examples of what I'm talking about:
Summertime Sadness - Hildegard von Blingin
House of the Rising Sun in Old French - the_miracle_aligner
Their styles seem to be fairly spread out from the early 1100s France to Tudor Britain so sorry in advance if that's too broad of a time range.
The sounds themselves are made by modern synths and software but if they were hypothetically created by the real instruments, could a person from this era be fooled into thinking the song is contemporary? Or are the musicians leaning too far into stereotypes?
Here are two answers from /u/nmitchell076 and /u/erus which cover this topic
https://www.reddit.com/r/AskHistorians/comments/ia9pl9/comment/g1nryz8
https://www.reddit.com/r/AskHistorians/comments/ia9pl9/comment/g1o85f4
And by the same 2 users about what medieval music actually sounded like
https://www.reddit.com/r/AskHistorians/comments/3m27yk/what_was_medieval_music_like/