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</o:shapelayout></xml><![endif]--></head><body bgcolor=white lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Nicolas asks:<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:12.0pt'><span style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:12.0pt'>Isn't the efficient voice leading merely a consequence of the structure of chords as piling 3ds, with the result that any note in between the borders of the tonal spaces is adjacent to at least one (and often both) of these borders?<span style='color:#1F497D'><o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:12.0pt'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Not at all. “Efficient voice leading” <i>entails</i> (in conjunction with other assumptions) the piling “in thirds” (rather than some other arbitrary interval), that the modular generic space be of an odd cardinality <i>b </i>(e.g. 7), and that the number of elements in the chord be (<i>b</i>-1)/2 or (<i>b</i>+1)/2 (e.g., 3 or 4).<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:6.0pt'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Eytan Agmon<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:6.0pt'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Bar-Ilan University<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:12.0pt'><span style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal style='margin-bottom:12.0pt'><br> <o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p></div></body></html>