Okay, this is gonna be long:
Covenant buildings of worship are classified by size.
High Charity is of course the largest of all, although it contains smaller buildings of worship within. It’s like the moon-sized Jerusalem of the Covenant.
High Temples are second only to High Charity in size. They can house thousands of worshipers. They’re basically the St. Peter’s Basilica of the Covenant. High Charity contains at least 10 of these.
Temples are smaller than High Temples. They can house up to 400 worshipers. They’re about the size of the mega-churches you see in the United States.
Greatshrines are like the small community church of the Covenant. They can house up to 100.
Shrines are small personal spaces of worship found in the home. They’re kinda like old-timey prayer closets.
All Covenant buildings of worship attempt to mimic Forerunner architecture.
Typically before besieging worlds, the various Sangheili crew members of a Covenant fleet meet at a High Temple for 20 minutes of prayer. These Ceremonies for Might are usually officiated by Minor Prophets. Occasionally, one or all of the Heirarchs will perform the ceremony. Before the ceremony begins, bowls of scented red ochre made from plants found on Forerunner Shield Worlds are passed around. Warriors are to paint circles on their heads. These are representative of the unity of the Covenant and the legendary Halo rings. The higher a Sangheili is in rank, the closer he/she gets to stand to the San Shyuum performing the ceremony. After the prayer is complete, warriors paint a line in ocre on their left shoulder pads and then go about their business. In the later days of the Covenant, Jiralhanae were allowed to participate. Slowly but surely, Ceremonies for Might became exclusive to the Jiralhanae.