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We calculate numerical solutions and analytic approximations for theintermediate-type spectral distortions. Detection of a \mu-type distortion(saturated comptonization) in the CMB will constrain the time of energyinjection to be at a redshift 2x10^6> z > 2x10^5, while a detection of a y-typedistortion (minimal comptonization) will mean that there was heating of CMB atredshift z< 1.5x10^4. We point out that the partially comptonized spectraldistortions, generated in the redshift range 1.5x10^4 < z x 2x10^5, are muchricher in information than the pure y and \mu-type distortions. The spectrumcreated during this period is intermediate between y and \mu-type distortionsand depends sensitively on the redshift of energy injection. Theseintermediate-type distortions cannot be mimicked by a mixture of y and \mu-typedistortions at all frequencies and vice versa. The measurement of theseintermediate-type CMB spectral distortions has the possibility to constrainprecisely not only the amount of energy release in the early Universe but alsothe mechanism, for example, particle annihilation and Silk damping can bedistinguished from particle decay. The intermediate-type distortion templatesand software code using these templates to calculate the CMB spectraldistortions for user-defined energy injection rate are made publicly available.

Beyond y and \mu: the shape of the CMB spectral distortions in the intermediate epoch, 1.5x10^4 < z < 2x10^5