Science fiction/fantasy short story: humans strap on wings to ascend a huge alien mountain

I'm positive this is "The Winds at Starmont" (1973) by Terry Carr.

The story takes place on a planet named (by humans) Starmont; we don't find out what the natives (wheest) call it. It has lower gravity than Earth, and more oxygen in the atmosphere; the combination allows humans to fly using a molecular-thin membrane attached to their harness, arms and legs.

The mountain is also called Starmont, although the wheest call it Hirrkaleorashe. Mike and his friend Kelso try to fly it along with their guide Sakkoneesh. The natives fly it, but not to conquer it; it is somewhat between a rite of passage and a religious experience, to see how high they can fly and if they can learn to hear the mountain singing.

On the first day the three land in a field partway up the mountain to rest, and shelter with a wheest family; the parents are proud of how high up the mountain they live, but although they might have been able to fly higher they couldn't do it together so this is where they stayed.

Kelso doesn't fully trust Sakkoneesh's guidance and when he gets in trouble he tries to fly away from the mountain, which puts him in a strong downdraft that throws him onto the rocks. Mike trusts Sakkoneesh, and at a critical point hears the mountain and is able to fly above the level of storms.

The story ends with Mike and Sakkoneesh, having stopped to take stop and rest, realizing they are just a short distance below the summit, and spreading their wings to fly the final distance.

It's only been published in 3 anthologies, 2 in the U.S. and 2 in the U.K. The most likely one is The Light at the End of the Universe (1976).