Tile roofs fall into two categories: Clay and Concrete.
Clay Tile: Clay tile color is easily modified by mixing colors... using a percentage of each.
Clay Tile Roofing - Pasadena Yacht Club
Concrete Tile: Concrete comes in a complete range of colors. Concrete tile is available two ways: Color through the entire tile and colored surface.
With color through tile: the mortar used to manufacture the tile is of the same color as the dominate color. Color-thru tile will remain close to the original color throughout it's life.
Slurry coat tiles are just that... a coating. The actual tile color will be either gray or white, but the slurry coat could be entirely different. This slurry coat will eventually wear off over time.
This is a color thru concrete roof tile with a "Blend". The manufacturing process of Blended Tiles yields hybrid colors. These hybrids are tiles that cannot be replicated as an individual color as they are derived from the intentional cross-contamination of the blend’s primary colors.