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I've heard that The Dancing Chain has more errors in the later chapters. Mine is the 2nd edition and there is now a 4th - maybe it's got sorted. It's a pretty fucking niche area of study even now, when it was written it was proper arcane. It's a pretty amazing achievement and a fascinating book.
Anyway the Holdsworth Aids corroborates the dates from Berto - although I'd imagine the '52 edition was printed in '51 so the date I'd heard for the Juy 53 might be right.
Those Holdsworth Catalogues are a brilliant resource, thank you I didn't know they were free online now, they used to only be for VCC members.
I have the Dancing Chain, and I have found too many inconsistencies to be regarded as more than a guide. Primary sources are more reliable. Contemporary advertisements for Simplex were rare, and their non-participation in the British Cycling Show makes it harder.
However the 1952 Holdsworth Aids does show the components.
If you look on Classic Lightweights you will see two examples of Gillotts being ordered with flamboyant paint; a 1952 with "Super Electro Flamboyant Majenta"[sic], and a 1953 with "Blackcurrant Flamboyant Silver"