The 1904 Games had a program of events spread out over several months, and the gymnastics competition was no different. The International Olympic Committee considers two sets of events as "Olympic":
International Turners' Championship held July 1–2, comprising the all-around, triathlon, and team events
Olympic Gymnastics Championships held October 29, comprising the seven individual apparatus events and the combined event.
The individual all-around was a combination of the gymnastic triathlon competition and the athletics triathlon. The team competition was a combination of individual scores from the individual all-around.[2]
The parallel bars, horizontal bar, vault, and pommel horse scores for each gymnast were summed to get the combined score.
James E. Sullivan, ed. (1905). Spalding's Official Athletic Almanac(PDF). New York: American Sports Publishing. pp. 203, 245–247. Retrieved 2007-04-09.