Gauge 3, I believe, is/was 2½" gauge back in the days of pounds shillings and pence. In pre Brexit terms, that is 63.5mm.
Just checked the Gauge 3 Society page, my summations are correct. Deep dim history gave the scale as ½" to the foot. Understandable, given the penchant for incorrect scale/gauge ratios that have emanated from the land that gave us railways n the first place.
45 years ago, I was very heavily involved in the metrication of our rail system here in NZ. One of the more practical steps taken was a decree for 'rounding off' certain conversions to avoid too many decimal points in the resultant figures. Easiest one, was train tonnages, one ton became one tonne in the loco hauling tables (rather than 1.016)...... hauled tonnages were largely guesswork (but reasonably accurate) in any case. One chain, that universal measure of cricket pitches and railway curves, simply became 20 metres (true figure 20.1168m). On the other hand, milepegs were not converted....we whacked in new zero pegs wherever it was determined a new line started........ and away we measured, and measured, and measured until we got to the end of the line, picking up 'new' metrages of all features along the way, and placing new pegs.
Shortly after, a well know local railway atlas just metricated all their old data and republished, ending up with virtually all the station metrages being wrong, because, in part they hadn't used, or known of the new zero pegs, and hadn't eliminated the short and long miles that had been eradicated by the remeasure. Even now, I hear 'railfans (experts in their own eyes)' claiming kudos by pointing out 'mistakes', such as the tags on our wooden traction poles...... they still have old and new on them if they were around in 1974...... little realizing that the zero had been moved by 5 chains or so in the remeasure (you ain't going to remeasure track that hadn't been there for over 35 years at the time.