The one-shot-type spectroscopic-tomography is proposed to develop the medical-patient-condition monitoring systems. The optical-setup is configured with the relative-inclined phase-shifter for improving the time resolution and the phaseshift array for improving visibility. We obtained the line-spectroscopic imaging and could recognize the Hg bright-linespectrum that is a component of the light-source. The realization of the optical stethoscope for early diagnosis of cancer can be expected by obtaining the 2-dimensional spectroscopic distribution with rotating interferometer.