According to legend, the cuur flute was originally created to reproduce and echo the wind atop a mountain like a "diphonic chant". Another tale tells of a time long ago, near the Eeveng River, where a boy dug up roots for food. One day a fairy emerged from the forest and cut a piece of reed, pierced it with three holes and gave it to the boy. She asked him to recreate the sound of the Eeveng River, and if he succeeded, he and his mother would live in prosperity.

In Mongolie, the cuur flute is crafted from larch wood that is hollowed out and split vertically. The two pieces of wood are then bound together with cotton thread. While the musical repertoire of this instrument has written foundations, it is through oral tradition and generational transmission that the instrument's musical knowledge and philosophy are truly passed down.