Orthogonal Frequency Division Multiplexing (OFDM) and Single Carrier Block Transmissions (SCBT) are located at the two opposite edges of block transmission concept. In this paper a system which lies between OFDM and SCBT is proposed. The new system, namely Block Transmissions on Orthogonal Carriers (BTOC), can be considered as a hybrid form of OFDM and SCBT. BTOC system is investigated under the redundant filterbank precoders and equalizers framework. Peak-to-average power ratio (PAPR) of BTOC is formulated. Effect (of frequency offset for BTOC is also investigated. Simulation results showing the BER vs. SNR performances of zero-pad OFDM (ZP-OFDM) and cyclic prefix OFDM (CP-OFDM) as types of OFDM, zero-pad only (ZP-Only) as a type of SCBT and BTOC are also included.