Scaling paragraphs by {rightwardness, downwardness} makes good sense in the abstract. But I would like to have a better sense for how it transforms texts of known structure. To that end, I am worrying the convenient King James Bible* (Kalevala can wait). One pattern is apparent even to a non-linguist: complementary distributions of objective
vs subjective pronouns. For example, "thou" and "thee:"
On the left is a 20 x 20 histogram of word frequencies. In the center, the scaled word locations are fit to a smooth distribution (which is convolved with a bandwidth function of the same size as the bins on the left). At the upper right is the rightwardness distribution integrated over downwardness. It has a characteristic shape: the subjective case peaks at the beginning of the line, flattens in the middle, and tails off at the end. Distribution of the objective case is reversed. "He" and "him" show the same pattern:
Similarly, "they" and "them:"
The Elizabethan usage of "you" is evident from its rightwardness distribution:
Whether such patterns are observable in English-language texts generally, or other subject-verb-object languages, is a question for the technical literature I suppose.
Inquiring minds want to compare the Vms.‡ The picture is fuzzier, literally, because the resolution (as justified by paragraph length) is lower. Taking spaces at face value, none of the more-frequent words show crisply concentrated line-beginning
vs line-end contrast... but two stronger candidates are EVA:Shol and EVA:dal:
Continuing down this road, we might allow that Vms orthography is loose, and try mapping more inclusive string patterns. It is all too easy to fish for density trends of interest. Here are maps for words containing the substrings EVA:tch, EVA:ta, and EVA:ld:
As a method of hypothesis testing, such visualizations are 'not even wrong.' But they may help with hypothesis
creation, where all methods are allowed!
* King James Bible, Scofield Ed., Books 1-5: chapters parsed as "paragraphs," grammatical sentences as "lines."
‡ ivtt @P: all paragraph text, with uncertain spaces and alternative readings stripped.