In one general embodiment, a magnetic medium includes a recording layer having at least three exchange control layers each having a magnetic moment less than 100 emu/cc, and four magnetic layers separated from one another by the exchange control layers. An uppermost of the magnetic layers is doped with oxygen. In another general embodiment, a magnetic medium includes a recording layer having at least three exchange control layers and four magnetic layers separated from one another by the exchange control layers. An uppermost of the magnetic layers has an oxygen content of greater than 0.5 vol %. An average pitch of magnetic grains in a lowermost of the magnetic layers is 9 nm or less. A lowermost of the magnetic layers has an oxide content of at least 20 vol %.