An Arndt composition of a positive integer is one where there is a descent from each odd-indexed part to its successor. In 2013, Jörg Arndt noted that this family of compositions is enumerated by the Fibonacci numbers. In this paper, we study Arndt compositions with restricted parts. We derive generating functions to count parameters such as the weight and the number of parts. We establish connections with the Padovan and Narayana's cows sequences. Additionally, we enumerate the palindromic Arndt compositions. Finally, we introduce the concept of n-color Arndt compositions and proceed to enumerate them with respect to the weight and the number of parts.