The Kirin Tor also has world quests for you. But there is no new reputation faction in Legion regarding Kirin Tor. There is an old one though, for lich King expansion. In legion, Kirin Tor world quests do reward reputation for the other legion factions. In this case it is based on where the quest is located in the Broken Isles.
Kirin Tor world quests in Highmountain rewards Highmountain Tribe reputation.
Kirin Tor world quests in Suramar rewards The Nightfallen reputation.
Kirin Tor world quests in Azsuna rewards Court of Farondis reputation.
Kirin Tor world quests in Val´sharah rewards Dreamweavers reputation.
Kirin Tor world quests in Stormheim rewards Valarjar reputation.
These quests are puzzles and games and requires a little bit of extra thinking and very fun to do.
Sometimes there is an Emissary quest that can pop up, which means that, if you complete 4 quests for, in this case The Kirin Tor of Dalaran, you will be able to choose one of the Insignias for a reputation faction.
All insignias rewards 1500 rep for a faction in the Broken Isles EXCEPT the one for Nightfallen, which rewards 750 reputation.
Also, you will receive Artifact Power and a chest with gold and possible chance to get a Curious Coin which can be used to buy a profession pattern from Xusíos in Dalaran.
If you want to know what World Quests are, visit my guide here.
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