Badges of similar design https://asiamedals.info/threads/jingu-service-foundation-badges.27056/
About Nihon Taiiku-kai /Japan Athletic Association/.
Source.
Another useful excerpt with correct year of establishment.
Source.
Regular Member Badge
1st type.
1st variation.
Height...
japan athletic association badge
special member badge
日本體育会勲章バッジ
日本體育会章
日本體育会章通常會員章
日本體育会義助員之章
日本體育會特別會員章
日本體育會義助員之章
日本體育會通常賛助會章
特別会員章
特別會員章
義助員之章
通常會員章