Settsu Province, and Osaka in particular, gathered the smiths the group under the name Osaka Ishido (大坂石堂). The blades record a migration: many smiths of the Kishu Ishido line relocated to Osaka, and as a body they "came to be known collectively as the Osaka Ishido school." Within that movement the trace a clear chain of teaching. Bicchu no Kami Yasuhiro stood at the head of the Kishu group, his followers sharing the "" (康) element in their names; Kawachi no Kami Yasunaga, styled Hachizaemon, studied under Yasuhiro, moved from Kishu to Osaka, and took the title Kawachi no Kami. His student Tatara Nagayuki, commonly Shirobei and originally of Kishu, is "regarded as having possessed skill surpassing that of his teacher." Hanabusa no Kami Sukekuni and his nephew Sukeharu, also originally of the Kishu Ishido group, are named among the body. The unifying aim the attach to all of them is the revival of , "the Ishido lineage's traditional specialty," carried into the era.
The shared vocabulary is consistent across the register. The forging is a tightly packed , at times mixing or , with fine adhering thickly and entering; over this steel stands out, an effect the call so convincing that the swords "are liable to be mistaken for older work." The temper divides into two modes the repeatedly distinguish: a flamboyant aimed at , mixing , -like blossoms, , , and , with and entering vigorously; and a with an opened "waist" () compounded in - manner, taking , and Yosazaemon no Jo Sukesada in particular, as its model. Through both runs a , -dominant edge whose tends to tighten yet stays bright and clear, with , fine , and . Sukekuni and Sukeharu are set slightly apart, working -laden , mixed with , -ba, and toran-like , with also frequent. To recognize the hand, the point to the that enters , sharpens to a point, and returns deeply, together with the tightening and intermixed .
For the caution that the persuasive can deceive, and warn the viewer "not to overlook the tendency in the and the comparatively unrefined nature of the ." Nagayuki's copies are said to reproduce even the and , with compact proportions and capturing the late- silhouette; one example was thought aimed at Katsumitsu, in whom stands out. Named works anchor the standing of the group. A matched dated Jokyo 3 (1686) bears the inscription "forged using Chigusa iron" (chigusa-tetsu), a piece read as a special commission; a dated of Jokyo 4 carries an added "nanban-tetsu" inscription; one blade holds a reading "White Cloud / Tatara" (白雲 多々良). Two Ujinagayuki descend from General Tani Tateki, the Meiji military figure and sword enthusiast. On the strength of his command of the edge and the tradition, the register names Tatara Nagayuki the leading master of - among smiths.