Why some bird species have evolved elaborate song repertoires has puzzled biologists for a long time. According to the antiexhaustion hypothesis avian song type repertoires have evolved because switching between different songs, involving different patterns of muscle contractions, causes less exhaustion in the singer and thus allows a higher song rate to be maintained. Although it is a classic explanation referred to in many textbooks, this hypothesis is still the subject of debate. We investigated the antiexhaustion idea in the chaffinch, Fringilla coelebs, a species in which males may have only one song type or a repertoire of up to six types. We analysed the song delivery rates of 101 male chaffinches, taking into account various seasonal, ecological and social variables. We found that males with a repertoire of several song types did not sing at a higher rate than males with only one song type, even though single song type males produced longer songs on average. Also, repertoire birds singing at high rates did not switch song types more often. These findings indicate that song type switching is not necessary for the maintenance of high song rates in this species. We conclude that preventing motor fatigue was not important in the evolution of chaffinch song type repertoires. Thus other factors, such as direct sexual selection of repertoire size or the use of song type repertoires for vocal interactions, are much more likely to explain why many bird species have evolved a repertoire of several song types.