“…Since the Renaissance, ratio theorists and like-minded composers have tended to favour Just ratios over Pythagorean, perhaps because they involve smaller numbers and therefore seem more plausible (Barlow, 1987;Gilmore, 1995;Hasegawa, 2006) -in spite of the practical impossibility of justly tuning all intervals between all tones in a regular diatonic scale. But modern empirical research on intonation in music performance has repeatedly shown that in the performance of Western tonal music tuning tends to be closer on average to 12 equal subdivisions per octave (12-EDO) or Pythagorean than to Just (Devaney, Mandel, & Fujinaga, 2012;Duke, 1985;Greene, 1937;Karrick, 1998;Loosen, 1993;Mason, 1960;Morrison, 2000;Nickerson, 1949;O'Keefe, 1975;Rakowski, 1985;Sundberg, 1982).…”