The space shuttle had a digital readout of roll-pitch-yaw angles in a chosen frame (inertial, LVLH, or reference).
What rotation sequence did they assume in that digital readout? Was it roll-pitch-yaw? Yaw-pitch-roll? Other?
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Found a reliable answer in the pages of "GNC ASC 2102 Ascent Guidance, Navigation, and Flight Control Workbook" from May 15, 1979.
The order of the rotation angles depends on the frame chosen. For LVLH, it is yaw-pitch-roll, which would in fact put the shuttle's body frame in gimbal lock while on the pad, as it would then be at a pitch of 90 degrees.
The middle rotation in the sequence is always limited to +-90 degrees, with the limits being "gimbal lock" singularities.
REF seems to be a chosen reference frame which can be changed by the crew. The order of the rotation angles changes to pitch-yaw-roll if this is the chosen reference frame.
Unfortunately the rotation order isn't shown for the inertial frame. OMS 2 TIG seems to be just the orientation of the frame itself. If someone knows what OMS 2 TIG is, please add below in the comments.