The Tiled Map Service TMS tile is a tile scheme ( [ as supported by OpenLayers ] is described here ( http://openlayers.org/dev/examples/tms.html ) )
OpenSeadragon has added support for TMS tile sources thanks to Rainer Simon (http://github.com/rsimon).
Inline configuration couldn't be much simpler for using a TMS as a tile source.
Configuration is done via the 'tileSources' option ( or programatically ). Because of its rich levels and depth, we slow down the zoomPerScroll option a litte, wrap horitonally, and hide the navigator. Also we set a lower minimum zoom pixel ratio to allow the user to pull back just a little further.
OpenSeadragon({ ... showNavigator: false, wrapHorizontal: true, zoomPerScroll: 1.2, minZoomImageRatio: 0.5, tileSources: [{ type: 'openstreetmaps' }] ... });