Nelinda

The nelinda is a conceptual family of single-reed instruments developed by TruncatedTriangle. In contrast to the conical-bore saxophone, which produces all (1n+1) harmonics, and the cylindrical-bore clarinet, which produces mostly odd-numbered (2n+1) harmonics, the nelinda has a taper opposite in direction to the saxophone (that is, wider at the mouthpiece end and narrower at the bell end) designed to highlight the 3n+1 harmonics (that is, harmonics 1, 4 ,7, 10, 13, etc.).

This implies that it will overblow not at the octave/ditave (2/1) or the twelfth/tritave (3/1) like other single-reeds, but instead at the fifteenth or double octave (4/1), giving it a wide range.

Xenharmonic Systems for Nelinda

Similar to the mutual affinity between the Bohlen-Pierce scale