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Sonority is shown in blue.
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Sonority is shown in blue.
The Sonority Sequencing Prinicple (SSP) uses slope to determine the formation of a word. Stephen G. Parker "posit[s] that sonority can be defined by means of a linear regression equation such as the following: sonority = a + b × dB, where the slope b is positive."1 By putting sonority into a function of this type, the relationship between sonority, flow, and relative loudness can be expressed. There's a lot more math in sonority but most of what I could find is college level stuff. It pops up in some of the links I've left if you want to learn more. Thanks for reading. :)
What you see to the left is a sonority graph, which graphs the sonority or relative loudness of a given word based on something called the sonority hierarchy, which ranks sounds according to their amplitude relative to other sounds in a word. (It should be noted that this particular graph is extremely basic; most graphs would have a much more comprehensive set of syllables.) Math plays a prevalent role in quantifying the results of studies in sonority and phonology, the branch of linguistics involving the study of arrangement of sounds in a language. By analyzing how syllables in words and phrases interact, linguists can guess how ancient languages sounded and reconstruct them if necessary to demonstrate how modern languages may have evolved from ancient ones. Perhaps the most practical and widespread use of phonology today is in speech recognition and text-to-speech technology.
To learn more: 1diu.edu (On Page 28) languagehumanities.org onlinelibrary.wiley.com