Mahler Symphony 1 Trumpet Excerpts with Commentary

Mahler Symphony no.1 Trumpet section excerpts with commentary.
An entertaining and educational series brought to you by Anthony Prisk, 2nd trumpet in the Philadelphia Orchestra and faculty member at the Peabody Institute and Temple University, during stay at home orders for Covid-19.
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[@anneholzmuller2019]

Thank you for this helpful and very instructive video! I have one question, though, regarding the transposition of the f-trumpets Mahler used and the very first sample of Ferntrompeten: in your sample - and in all the recordings I've checked so far, the 1. trumpets (f trumpets) sound a fourth higher than notated, that ist e'' and a'. The second trumpet (in b!) then stays below the 1. trumpets (a' and e'). To my knowledge however, the f trumpets of Mahler's time transposed a fifth down to the lower f (notated c' to sounding f). The notated b' and e' should then transpose to e' and a (not e'' and a') and ergo stay below the b trumpet. Can you help me out - what am I missing here? Is it mere convention because no one uses the original historic instruments anymore? Or am I getting it wrong at one point? Thank you!