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Abstract At present, there are two approaches that aim at explaining on physical grounds the psychoacoustic perception of consonance and dissonance for dyads, whose pioneers have been, respectively, Galilei and Helmholtz: One is based on the “compactness” of the waveform of the combined signal, while the other on the absence of “roughness” due to possible beats. We perform a detailed study of each approach and find that none of the associated model versions, not even the more refined ones, is fully satisfactory when faced to perceptual data on dyads. We show that combining the two approaches results instead in a surprisingly successful agreement with perceptual data: This demonstrates that compactness and roughness are both necessary ingredients for a phenomenological description of consonance and dissonance. Graphical abstract

Associating liver partition and portal vein ligation for staged hepatectomy (ALPPS) is a new procedure aimed at promoting the overgrowth of small future liver remnants (FLR). The role of ALPPS in hilar cholangiocarcinoma (h-CCA) is currently considered marginal because liver split in the presence of bile duct obstruction increases postoperative morbidity and mortality (Schadde et al. in Ann Surg 260:829-836,2014; Nadalin et al. in Z Gastroenterol 52:35-42,2014). Virtual liver split (Gall et al. in Ann Surg 261:e45-e46,2015) could improve the outcome of ALPPS in h-CCA.A 64-year-old woman with a type IIIA h-CCA without evidence of vascular involvement had a small FLR (FLR/body weight: 0.47 cmThe patient recovered promptly from step 1, with a 68 % increase in the volume of FLR by postoperative day (POD) 10 (FLR/body weight of 0.79 cmLaparoscopic ALPPS (Machado et al. in Ann Surg 256:e13,2012) and MWA on the intended split line (Gringeri and Boetto in Ann Surg 261:e42-e43,2015) have been recently described. The combination of these techniques with PBD allowed successful ALPPS in a patient with h-CCA.