Hello, and welcome to the forums!
Certain chants are tied to certain shouts that the Dragonborn knows. As Sledrig mentioned, more books with "eligible" chants should appear on the altar as you unlock them. To give you a hint, there are different types of chants and they all use elements from different shouts. With the Ravaging one we get in the questline, it's a combination of Unrelenting Force, Whirlwind Sprint, and Earthsong. In a similar fashion, other chants become available once you meet their criteria. (To give you an example of how this works: "Chant of Breaths" requires Unrelenting Force, Frost Breath, and Fire Breath). Once you know at least one word of each of these shouts, the chant book should spawn on the altar.
There are several other chants you can learn - so I would encourage you to explore and see what else you can unlock! They should appear on the altar each time.
Additionally, you may have found three books called "Ah, Bah, and Krah" that appeared once you finished the quest. Reading these allows you to make up your own chant, utilizing a combination of three shouts of your choosing. You can "reset" your made-up chant and try another combination by re-reading the books.