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To the best of my recollection I did clear all the caches when I tried placing an H2 style in my theme's stylesheet. My stylesheet actually doesn't have an entry for H2, and the entry in the wordpress/templates/wordpress style.css file is commented out. That's why I am confused about where the size attribute is coming from.
I overcame the problem on my test site using a kludge, namely changing all references to H2 to H3 in the Wordpress templates folder (i.e. in the php files). That renders the text in question at a size more to my liking, but I'd feel much better if I could do it the right way, namely having the value for H2 pulled from the appropriate stylesheet. I'll have to try putting entries for H2 into my theme's style sheet again and see if I can get it to work.
Barry
Barry Cooper
Sweet Home, Oregon