The large Pillar clock with detailed hour scale 'SEIMITSU-SHAKUDOKEI' has been exhibited at the National Science Museum on loan from Mr. Shingo Takabayashi, on the scale of which has quite rare hour system, 13 deviding hour system, including special hour 'YO-JI', chinese character 'YO(餘)' of which means the remainder. In the historical investigations about astronmy in Ishikawa and Toyama prefecture, Watanabe, one of the authors, found the fact that the 13 deviding hour system was used in the old fief of Kage in Edo period. Also Watanabe and others found the astronomical clock 'SUIYOU-KYUGI' at the 'KOJU-BUNKO' library in Sinminato City. In examining the relation between the 'SEIMITSU-SHAKUDOKEI' and the 'SUIYOU-KYUGI', the evolution of hour system including rare hour 'YO-JI' in the old fief of Kaga was known in details. We report about this special hour system and discuss about the meaning of special hour 'YO-JI'.