The numbering of the heads of the house is that introduced by Inoue Genan Inseki, at the start of the nineteenth century, and including Nakamura Doseki for reasons of prestige. During their playing careers all the heads, apart from Doseki, were called Inoue Inseki. For reasons of convenience the retirement or posthumous names are used, in the style Inoue Genkaku Inseki with the personal part of the name interposed. Variant names abound.
