Gennan Inseki (1798-1859), head of the Japanese Inoue house from 1824-1846, proposed a changed numbering that made him the eleventh head (rather than tenth), by including Doseki at the head of the list.

At various times known as Hattori Rittetsu, Inoue Ansetsu, Intetsu, Gen(n)an Inseki, Inoue Genan Inseki.

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