A high thread count woven fabric for use in bedding products includes a 5-end sateen weave formed from a plurality of interwoven cotton warp and weft threads, wherein the number of warp threads per square inch of the fabric is at least about 240 and the number of the weft threads per square inch is about 9% to about 21% A higher than in conventional high thread count fabrics. A method of making the high thread count fabric includes setting up a weaving machine with a shed height and a backrest adjustment as described and shown herein to facilitate weaving the fabric with the high density of warp threads.
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