Hana no Uta is a show that I like because of all the things it does differently. It consistently fails to adhere to an ordinary story pacing, and it relishes in, and often pulls off, fast tone shifts. The themes have a lot of stuff to do with demons and half-demons and whether they should be protected or banished, and yet, rather than treating this as a grave affair that propels every event, I felt more often like I was in a blended slice-of-life that sometimes has action and drama. There are story arcs, of course, but it often feels like the show and the characters have mutually agreed to give them lip service so that they can go do something way more interesting with the screen time. You can guess what's coming next, but you don't know what the "good scene" will be, because it could be anything. And the cast is large, with enough depth and variety that you can easily lose track.
All of this makes it less readily consumable and closed-ended than your typical TV anime, and more like a messy world you could put in the background on loop, noticing different things each time. In some ways this might feel like a deficiency of being a one-cour show, rushing through a lot more than it has any right to, but if there is any example of how to pull it off in a satisfying way, this is one of them.