Quartz crystals have overtones that are not harmonic: i.e., close to odd-integer multiples of the fundamental (3rd, 5th, etc.) but not exactly an integer multiple.
This is because they are three-dimensional resonators, as opposed to violin strings or organ pipes that are one-dimensional with harmonic overtones.
Some crystals are calibrated to operate at either the 3rd or 5th overtone (in an appropriate oscillator that works at that frequency).
Such a crystal can oscillate at its fundamental frequency (in an appropriate oscillator for fundamental mode, either series or parallel resonance), which will be approximately 1/3 or 1/5 the calibration frequency.
For fundamental-mode calibration, that can be either for series-resonant or for parallel-resonant mode with a specified parallel capacitance.
Overtone-mode calibration is for the series-resonance at that overtone.