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DRAFT

• gritty — feels like it has tiny particles of sand/grit in/on it. The technical term.

The floor feels gritty.
• sandy / grainy — like gritty, but more uniform, smaller particles
• rough / coarse / abrasive — general texture, not necessarily dirty

Floor: The floor is gritty under bare feet.
• Wall: The wall is rough and gritty from plaster dust.
• Fabric: The sheets feel sandy/gritty — they still have detergent residue.

More technical / dictionary:

• scabrous / scabrid — botany/medical term — rough to the touch from tiny hard projections or embedded particles. This is the formal scientific word for what you're describing.
• arenaceous — sandy, containing sand