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However, I don't intentionally make them the same. It just sometimes works out that way. My H1 title, in its wording and position on the page, is designed to attract the attention of someone who is quickly evaluating the page. My page titles are designed to grab attention in search listings, and they typically include at least two of my tageted keywords for that page. As a result, in many cases my page title is longer than my H1 title.
For me, including keywords in the page title comes naturally. They don't need to be forced in. The page title is about the page and I want it to attract people who are interested in the page topic. So the key words that end up in the page title just flow naturally out of the page topic.
If the document is basically stand-alone, for example Things to See and Do in Geneva, the top-level heading is probably the same as the title.If it is part of a collection, for example a section on Dogs in a collection of pages about pets, then the top level heading should assume a certain amount of context; just write <h1>Dogs</h1> while the title should work in any context: Dogs - Your Guide to Pets.
I have always tried to follow these recommendations. Seems to work.
WBF