An octagon quadrangle is the graph consisting of an 8-cycle (x1; :::; x8) with two additional chords: the edges fx1; x4g and fx5; x8g. An octagon quadrangle system of order v and index¸ [OQS] is a pair (X; B), where X is a finite set of v vertices and B is a collection of edge disjoint octagon quadrangles (called blocks) which partition the edge set of ¸Kv defined on X. A 4-kite is the graph having five vertices x1; x2; x3; x4; y and consisting of an 4-cycle (x1; x2; :::; x4) and an additional edge fx1; yg. A 4-kite design of order n and index ¹ is a pair K = (Y;H), where Y is a finite set of n vertices and H is a collection of edge disjoint 4-kite which partition the edge set of ¹Kn defined on Y. An Octagon Kite System [OKS] of order v and indices (¸; ¹) is an OQS(v) of index ¸ in which it is possible to divide every block in two 4-kites so that an 4-kite design of order v and index ¹ is defined. In this paper we determine the spectrum for OKS(v) nesting 4-kite-designs of equi-indices (2,3).