With regards to Chojun Miyagi, Eisho Nakamoto and Go kenki travelling to Shanghai and visiting 'Sei Bu Dai Kiu Kai' - I believe this is the Japanese language (phonetic rendering) of the Chinese organisation known as the 'Essential Nature Martial Athletic Association' or 'Jing Wu Athletic Associaion'. Some people state that this is where Miyagi Chojun was taught 'Tensho' Kata - but I shall explain below why I think 'Sei Bu Dai Kiu Kai' is the 'Jing Wu Athletic Association'.
'Sei Bu Dai Iku Kai' appears to be written in 'Romaji' - or the Japanese way of writing the sound of Japanese ideograms into the (Western) Roman (or 'Latin') alphabet. I suspect the original Japanese language text was used when translating traditional Chinese characters into Japanese ideograms - and then the result was transliterated into Romaji (at some later point - perhaps when Western scholars needed to understand the text, etc, but this is speculation on my part).
The 'Jing Wu Athletic Association' is written in Chinese traditional script as follows
精武體育會 = Jing Wu Ti Yu Hui
精 - (jing1) = essential nature
武 - (wu3) = martial, military, war, fight
體 - (ti3) = body, structure, form
育 - (yi4) = educate, mould, direct
會 - (hui4) = association, union, gathering
Therefore, the traditional Chinese characters and the original transliteration of 'Sei Bu Dai Kiu Kai' corelates in 'Kan-on' Japanese ideograms as follows:
精 - (jing1) = Sei (せい)
武 - (wu3) = Bu (ぶ )
體 - (ti3) = Tei (てい)
育 - (yi4) =IKu (いく)
會 - (hui4) = Kai (かい)
From the original 'Sei Bu Dai Kiu Kai' quoted, I had to make two changes:
1) Dai - into 'Tei'
2) Kiu - into 'Iku'
This may be uncaught errors made by later scholars, editors or copy-typists, etc, attempting to transcribe all this unfamiliar Chinese and Japanese data into a Western language. As for 精 - (jing1) - this term occurs regularly within Daoist self-cultivation terminology and I translate it as 'essential nature'. It is the energy accumulated when not engaging in any form of sexual emission - and the accumulated 'jing' is circulated from the area between the genitalia and anus - up the Governing Vessel of the back (which runs up, over and down the front of the face just behind the front teeth of the upper palate) - where the tongue connects the Governing Vessel to the Conception Vessel which runs from the top part of the front of the tongue and down the front of the centre of the body, through the groin and back to the start point between the genitalia and the anus. This is one circuit of the microcosmic orbit - a typical Daoist practice of '性命双修' (Xing Ming Shuang Xiu) or ' ‘Essential Life Mind-Body) self-cultivation!
Thanks
Adrian