In 1234, there was a case contrary to the general rule such as that ABE no Ieuji -- who had not received the senji (imperial decree) -- reported on the appearance of a guest star, and was appointed to tenmon hakase in recognition of the services (the entry of "Meigetsuki" [the diary of FUJIWARA no Sadaie] for April 22, 1235).
また、天福(日本)2年（1235年）には宣旨を受けていない安倍家氏が客星出現を知らせた功績で天文博士に補されるという本来の天文博士が天文密奏を行うのとは逆の事例も生じている（『明月記』文暦二年3月26日(旧暦)条）。