If the detached studio was a separate purchase and it is used 100% for your business, just depreciate the cost of the studio separately as a business asset on its own. Do not consider it a 'home office' in this case, since it is not a part of your home, but a separate structure.
Otherwise, if you are considering the cost of the studio and the cost of the house as one single unit, you would use the same cost basis in both scenarios. The depreciation would be calculated on the percent of the total house that is being used for each purpose, generally based on the percent of the total square feet being rented or used as a home office.
@Laura30
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