A Note on D-Branes of Odd Codimensions from Noncommutative Tachyons

On a noncommutative space of rank-1, we construct a codimension-one soliton explicitly and, in the context of noncommutative bosonic open string theory, identify it with the D24-brane. We compute the tension of the proposed D24-brane, yielding an exact value and show that it is related to the tension of the codimension two D23-brane by the string T-duality. This resolves a puzzle posed by the result of Harvey, Kraus, Larsen and Martinec. We also apply the result to non-BPS branes in superstring theories and argue that the codimension-one soliton gives rise to new descent relation among the non-BPS branes in Type IIA and Type IIB string theories via T-duality.