Magnetic media including a magnetic recording layer structure of at least six magnetic recording sublayers and at least six non-magnetic exchange control sublayers in an alternating pattern are provided. The magnetic recording layer structure includes a gradient of platinum content across the magnetic recording sublayers such that a top magnetic recording sublayer has a lowest platinum content and a bottom magnetic recording sublayer has a highest platinum content. In one such case, the magnetic media includes a substrate and the magnetic recording layer structure on the substrate. In another case, a method of fabricating such magnetic media is provided.