White-tailed Ptarmigan
Lagopus leucura
The white-tailed ptarmigan is the smallest of the ptarmigans and the smallest bird in the grouse tribe. It is a stocky bird with rounded wings, square-ended tail, small black beak and short legs with feathering extending to the toes. Adults are 31 to 34 centimetres (12 to 13 in) long, with the males being only slightly larger than the females. The average weight is 325 grams (11.5 oz). During the summer, the white-tailed ptarmigan is a speckled grayish brown with white underparts, tail and wings.
ID text from Wikipedia, CC BY-SA 4.0
Willow Ptarmigan
Lagopus lagopus
The willow ptarmigan is a medium to large, ground-dwelling bird and is the most numerous of the three species of ptarmigan. Males and females are about the same size, with the adult length varying between 35 and 44 cm (14 and 17 in) with a wingspan ranging from 60 to 65 cm (24 to 26 in). Its weight is 430 to 810 g (15 to 29 oz). It is deep-chested and has a fairly long neck, a broad bill, short, feathered legs, and a moderately short, rounded tail. In the summer, the male's plumage is marbled brown, with a reddish hue to the neck and breast, a black tail, and white wings and underparts.
ID text from Wikipedia, CC BY-SA 4.0

Where you might meet both
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Play today's Daily BirdPhotos and recordings are credited to their authors under the licence shown. Full profiles: White-tailed Ptarmigan and Willow Ptarmigan.