So I completely understand that music is still a new and improving tool to FF14 and Eorzea. It's so wonderful being able to finally create music free handed in our fantasy life. However, I myself along with, I'm sure, many others feel a bit lackluster in this new developed tool. And I feel its because we're able to make music freely but now keep the music we make saved to be able to play it back as an easier shortcut and enjoy listening to what we make. And this is where I believe a "Score Scroll" or something of another name can be used.
I have in fact played an MMO/fantasy life that also implemented the usage of musical instruments and score scrolls that were used to save notes onto it with a title. Then using the score scroll with an instrument in one hand and another, you could play back the notes that were recorded on it.