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A Mach-Zehnder interferometer with each arm containing a pair of Mach-Zehnder modulators (MZM) in series is proposed as a means of optoelectronic frequency multiplication (octo-tupling and 24-tupling). All harmonics including the carrier are suppressed except those with order equal to an odd multiple of four. The circuit requires no electrical or optical filters. There is no requirement to carefully adjust the modulation index to achieve correct operation of the octo-tupler. A transfer matrix representation is used to describe the operation of the architecture. The theoretical predictions are validated by simulations performed using an industry standard software tool. The simulations also allow an assessment of the impact on the circuit operation of deviations from the ideal of its components such as the finite extinction ratio of the MZMs, power imbalances and phase error at the couplers and phase error of the applied RF …