You need to get up early, but it's well worth it. Pods of dolphins congregate off the coast of Muscat, and the boats follow them for a good hour or so. The trips also go right around the bay, giving spectacular views of the coastline. If you're of a strong-ish constitution, you might want to investigate the nearby fish market, where local fisherman bring in their catches, including leopard sharks and reef sharks.
Zahara Tours will arrange boat tours and trips around the local markets;
www.zubairtours.com/
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Several different species, including the fascinating spinner, can be seen off the coast but they certainly do not gather every norning for the benefit of tourists. Their appearances are sporadic and in all my trips with Omani friends off the Muscat coast in 3 years I have seen them about a dozen times.
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