We study the emission spectrum and absorption spectrum of a quantum emitter when it is driven by various pulse sequences. We consider the Uhrig sequence of nonequidistant pi(x) pulses, the periodic sequence of pi(x)pi(y) pulses and the periodic sequence of pi(z) pulses (phase kicks). We find that, similar to the periodic sequence of pi(x) pulses, the Uhrig sequence of pi(x) pulses has emission and absorption that are, with small variations, analogous to those of the resonance fluorescence spectrum. In addition, while the periodic sequence of pi(z) pulses produces a spectrum that is dependent on the detuning between the emitter and the pulse carrier frequency, the Uhrig sequence of nonequidistant pi(x) pulses and the periodic sequence of pi(x)pi(y) pulses have spectra with little dependence on the detuning as long as it stays moderate along with the number of pulses. This implies that they can also, similar to the previously studied periodic sequence of pi(x) pulses, be used to tune the emission or absorption of quantum emitters to specific frequencies, to mitigate inhomogeneous broadening and to enhance the production of indistinguishable photons from emitters in the solid state.