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Empty doesn't seem to have a gradable antonym. If something is not empty and not full, then it is not empty, but is there a single word expression for this?
To make it more evident, I'm looking for something like what warm is on the scale of cold and hot.
Sparse and its antonym dense may serve in some contexts, such as mathematics and computer science. For example, a sparse set is a set that has few members out of a large potential population of members. An empty set has no members, and a dense set has many members. However, I can't recall hearing the term full set in this context.
In other contexts, such as "a glass half-full" one would not use sparse or dense.
The word 'antonym' needs defining before one can comment sensibly on this sort of question. There are different but related senses.
At http://grammar.about.com/od/ab/g/antonymsterms.htm , one class of antonyms is termed:
... Gradable Antonyms
and defined:
Gradable antonyms include pairs like the following: beautiful - ugly expensive - cheap fast - slow hot - cold increase - decrease long - short love - hate rich - poor sweet - sour wide- narrow These pairs are called gradable antonyms because they do not represent [refer to] an either-or relation but rather a more-less relation. The words can be viewed as terms at the end-points of a continuum or gradient.
Now while empty and full are essentially absolute adjectives, whereas say fast and slow are not, the former are certainly terms which refer to 'the end-points of a continuum or gradient'. They are gradable antonyms.
Antonymmaybe was not a good choice. Whatever. I feel it rude to neglect an opinion without conversation. @rhetorician thank you for the insightful explanation.