After Parker, 1982, De Luna, Newton & Mishler, 2003a, b ["The Tree of Life"] and Steward & Rothwell, 1993

<==o Bryopsida (peristomate mosses; sammaleet)
   |?- †Musites polytrichaceus
   |?- Oedipodiaceae
   |--o Polytrichideae [Polytrichopsida sensu De Luna, Newton & Mishler, 2003] (hair-cap mosses)
   |  `-- Calomniaceae
   `--+--o Tetraphidadeae [Tetraphidopsida sensu De Luna, Newton & Mishler, 2003]
      |  `-- Tetraphidaceae
      `--o Bryideae [Bryopsida sensu De Luna, Newton & Mishler, 2003] (aitosammaleet)
         |-- Diphysiales
         `--+?-o Funariales
            |  |-- Funariaceae
            |  |-- Pseudoditrichaceae
            |  |-- Disceliaceae
            |  |-- Gigaspermaceae
            |  `-- Ephemeraceae
            `--+?-o Timmiales
               |  |== other Timmiales??
               |  `-- Timmiaceae
               `--+?-o Encalyptales
                  |  `-- Encalyptaceae
                  |-- Dicraniidae (dicraniid mosses)
                  `-- Bryidae (bryid mosses)

Mosses not listed by De Luna, Newton & Mishler, 2003b

    ISOBRYALES
        Fontinaliaceae
        Hydropogonaceae
        Wardiaceae
        Climaciaceae
        Leskeaceae
        Fabroniaceae
        Cryphaeaceae
        Leucodontaceae
        Regmatodontaceae
        Hedwigiaceae
        Cyrtopodaceae
        Prionodontaceae
        Lepyrodontaceae
        Rutenbergiaceae
        Trachypodaceae
        Pterobryaceae
        Meteoriaceae
        Ptychomniaceae
        Neckeraceae
        Phyllogoniaceae

    BUXBAUMIALES
        Buxbaumiaceae

    FISSIDENTALES
        Fissidentaceae

Reference(s):

Reference(s):