“…The second method-magnitude difference compari-son-has been considered by Maloney and Yang (Knoblauch & Maloney, 2008;Maloney & Yang, 2003) and requires observers to consider quadruples of stimuli that define two intervals and to select the pair of stimuli that shows the greater perceptual difference. This method has been applied to a range of perceptual dimensions: color (Brown, Lindsey, & Guckes, 2011;Lindsey et al, 2010;Maloney & Yang, 2003;Yang, Szeverenyi, & Ts'o, 2008), quality of compressed images or video (Charrier, Knoblauch, Maloney, & Bovik, 2011;Charrier, Knoblauch, Maloney, Bovik, & Moorthy, 2012;Charrier, Maloney, Cherifi, & Knoblauch, 2007;Menkovski & Liotta, 2012), surface texture (Emrith, Chantler, Green, Maloney, & Clarke, 2010), gloss (Obein, Knoblauch, & Viénot, 2004), transparency (Fleming, Jaekel, & Maloney, 2011), strength of the watercolor effect (Devinck, Gerardin, Dojat, & Knoblauch, 2014;Devinck & Knoblauch, 2012), similarity between pairs of faces (Rhodes, Maloney, Turner, & Ewing, 2007), correlation in scatterplots (Knoblauch & Maloney, 2008), auditory stimulus duration (Yang et al, 2008), and emotional intensity (Junge & Reisenzein, 2013). In this article we investigate whether there is a single internal interval scale of order for point patterns that underlies the perception of order both for discrimination and perceptual difference tasks.…”