From Halopedia, the Halo wiki
Covenant Dance is the fourteenth track included in the Halo: Original Soundtrack.
As its name implies, the piece is carried by a strong dance beat. At 00:16, the beat becomes underlaid to a more dominant snare-drum beat. Starting at 00:30, a variation of the Halo theme, followed by long ascending notes, which consists of the monkish chorus in time to the beat. At 00:52, the beat and chant grind to a halt and are replaced by a less regular synth beat, still following a tempo matching the drum beat. At 01:08, a higher synth melody arises to follow the new synth beat. At 01:15, the drumbeat starts up again. At 01:31, the chant returns, but shortly disappears again. Soon after, the drum and synth follow it, allowing the song to smoothly conclude. The piece was arranged into Choreographite in the Halo: Combat Evolved Anniversary: Original Soundtrack.
It can be heard: