Hyperspectral imaging (HSI) is paramount technique in biomedical science, however, dealing with the data it produces is challenging. Traditional unmixing relies on algorithms that need spectroscopic parameters from the fluorescent species in the sample. The phasor-based multi-harmonic unmixing method is a model-free and intuitive approach, that requires only the empirical measurement of the pure species and the phasor approach in multi-harmonic. Using simulations we demonstrate the feasibility of the approach for up to 5 components and adventure in the use of adding an 6th unknown component as autofluorescence. The method computes the pixel-wise photon fraction of every spectral component and the simulations show that it can be successfully used in the habitual photon count regimes dealt with in every day imaging experiments (between 101 and 103). We additionally test the method in living cells, using 5 common commercial dyes for organelle labeling and we easily and accurately separate them. Finally, we challenge the method by introducing a solvatochromic probe, 6-Dodecanoyl-N,N-dimethyl-2-naphthylamine (LAURDAN), intended to measure membrane dynamics on specific subcellular membrane-bound organelles by taking advantage of the linear combination between the organelle probes and LAURDAN. We succeed in monitoring the membrane order at the Golgi apparatus, Mitochondria, and plasma membrane, and quantitatively compared them. The phasor-based multi-harmonic unmixing method can help to expand the outreach of HSI and democratize its use by the community for it does not require of special know-how.