Abstract: Small, fast, and inexpensive in-line spectrophotometers can produce in-line spectrums of a substrate before or after printing on the substrate. In-line spectrums are generally far less complete than a reference spectrum produced with a large, slow, and expensive reference spectrophotometer. An in-line spectrum can be mapped to a reference spectrum using a variety of known algorithms. However, the mapping is erroneous when the media substrate type changes. Reference transform matrices and in-line transform matrices can correct the erroneous mapping.