Ah yes, the "ey" in Reykur is pronounced like "ay" in day and the "u" like the German u with an umlaut (ü) or "eux" in the French word deux.

And I admit to shortening the name of my horse, Haukur (my nickname) to "Hauki" when I call him because it is easier to pronounce. Calling the kitten "Reyki" would be less of a tongue twister.

Charly