Momojirou - What are we?

set in historical Japan;

Momo is the daughter of the Yaoyorozu clan, one day her father decides it's time for her to get some additional education, so she can be more suitable for future marriage proposals. Momo starts learning dancing, medicine and music.

Momo finds her lessons quite boring and isn't too enthusiastic to start them, but all that changes with the arrival of her new music teacher.
[I had to make Kyouka like 2 years older than Mo, so the story actually makes sense.]