Contemporary music for horn often requires techniques and musical or notational considerations that are unconventional with respect to the standard pedagogy of the instrument. As such, these considerations often represent a level of challenge to which the average-intermediate to advanced-hornist is unprepared to approach or altogether unfamiliar. The most prominent of these demands arising in the last few decades of the twentieth century through today include microtonality (such as extended just intonation and quarter tones), extended techniques in combination or juxtaposition (such as multiphonics and right hand technique), rhythmic complexity (including metric modulation, non-dyadic meters, additive rhythms, and nested tuplets), and unconventional notations (graphic, spatial, and other temporal notations). This document first surveys the challenges of the repertoire in question, which includes works by György Ligeti, Thea Musgrave, Milton Babbitt, Brian Ferneyhough, Iannis Xenakis, Heinz Holliger, and Douglas Hill, among others. After considering the merits and limitations of existing pedagogical materials that work towards these ends, the document then underlines a strategic pedagogical goal for understanding and approaching unconventional contemporary repertoire through newly-composed etudes. This document is written in conjunction with and justification for the author's 24 Unconventional Etudes for Horn, and includes examples therefrom.