When a taxpayer acquires a significant amount of assets during the last quarter of the tax year, the half-year convention is replaced by the mid-quarter convention. The mid-quarter convention must be applied if more than 40 percent of the total cost of a taxpayer's property acquired during the year, other than real property, is placed in service during the last 3 months of the tax year. The mid-quarter convention treats all property placed in service during any quarter of the tax year as being placed in service on the midpoint of the quarter.
If this was the only asset purchased for your business, the mid-quarter convention is likely applying and limiting the amount of depreciation allowed.
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