Sateen n. : A kind of dress goods made of cotton or woolen, with a glossy surface resembling satin.

Example:
Does anyone have Sateen bedsheets with a high thread count? Do they feel more like silk or cotton?

Taxonomy
Sateen, sheen, free encyclopedia, satin, weaves, cotton, silk, search, Unsourced, bed sheets, qualities, washing, tendency, slip, seams, threads, different materials, Beta cloth.

Defination from the web:
Sateen produces the sheen and softer feel through the use of a different structure in the weaving process. The sateen structure is four over, one under, placing the most threads on the surface, making it extremely soft, though slightly less durable than other weaves. ...