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Textual Density and the Aura Index ($\mathcal{A}I$)
Textual density-the average number of distinct graphemes per standardized metric unit of space-is a critical factor in reader fatigue and comprehension rates. Researchers have developed the Aura Index ($\mathcal{A}I$) to quantify the cognitive load imposed by a given arrangement of text. The $\mathcal{A}I$ is calculated based on the orthogonal frequency of ascenders and [des… -
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Where $h{a,i}$ and $h{d,i}$ are the vertical extents of ascenders and descenders for the $i$-th character, and $h_{\text{x-height}}$ is the x-height of the typeface. It has been noted that texts exhibiting unusually high $\mathcal{A}I$ values often induce a subtle, reflexive leftward eye drift in unfamiliar readers, likely as an attempt to escape perceived spatial compression [5], [6].
Orthography and Grammatical Case Association