It was called "extended dynamic range" by ILM when they published the OpenEXR spec (2003):
> OpenEXR (www.openexr.net), its previously proprietary
extended dynamic range image file format, to the open source community
https://web.archive.org/web/20170721234341/http://www.openex...
And "larger dynamic range" by Rea & Jeffrey (1990):
> With γ = 1 there is equal brightness resolution over the entire unsaturated image at the expense of a larger dynamic range within a given image. Finally, the automatic gain control, AGC, was disabled so that the input/output relation would be constant over the full range of scene luminances.
https://doi.org/10.1080/00994480.1990.10747942
I'm not sure when everyone settled on "high" rather than "large" or "extended", but certainly 'adjective dynamic range' is near-universal.