Editing 2657: Complex Vowels

{{comic
| number    = 2657
| date      = August 10, 2022
| title     = Complex Vowels
| image     = complex_vowels.png
| titletext = Pronouncing [ṡṡċċḣḣẇẇȧȧ] is easy; you just say it like the 'x' in 'fire'.
}}

==Explanation==
{{incomplete|Created by a ROUNDED TONGUE. Do NOT delete this tag too soon.}}
[[File:Ipa-chart-vowels.png|thumb|200px|The standard IPA vowel chart.]]
This is another one of Randall's [[:Category:Tips|Tips]], this time a Linguistics Tip.

The curly-haired linguist, [[:Category:Comics featuring Gretchen McCulloch|Gretchen McCulloch]], manages to produce a cursed sound using complex vowels, that cannot be comprehended by normal humans like [[Cueball]] and [[Megan]], that seem to get a headache from listening to the sound. The sound she makes was accomplished (and the tip is about this) by extending the IPA vowel plane along the imaginary axis to produce the complex vowels.

In phonetics based on the {{w|International Phonetic Alphabet}} (IPA), the space of {{w|vocal tract}} articulators determining {{w|vowel}}s <!-- (as opposed to unvoiced consonants) -- nasals and liquids don't care where the tongue is, in any language {acn} --> is represented as two-dimensional, from the position of the tongue. The vertical axis represents vowel height or ''closedness'' (i.e., how close or far the tongue is from the top of the mouth), and the horizontal axis represents front-to-back ''place'' (i.e., how close or far the top of the tongue is from the teeth.) The position of the tongue, along with the frequency of the {{w|vocal cords}} vibrating in the larynx from air being exhaled by the diaphragm, are the primary determinants of the fundamental and second {{w|formant}}s of vowel sounds.

A third dimension of vowel sounds is the "roundedness" of the lips, represented on the IPA vowel chart to the right by pairs of vowel phoneme {{w|glyph}}s. Other higher-dimensional vowel representations include {{w|diphthong}}s, which are simply two different sequential vowels slurred together; diphones, which represent the last half of one phoneme followed by the first half of the next; {{w|vowel shift}} mappings delineating different accents[https://core.ac.uk/download/pdf/47086396.pdf][https://www.sciencedirect.com/science/article/abs/pii/S0095447010000562] and long-term evolution of voiced phone sounds; and {{w|cepstrum|cepstral}} representations such as {{w|Mel-frequency cepstrum|mel-frequency cepstral coefficients}}.

[[Randall]] suggests increasing the range of vowel sounds available by using complex notation to indicate an additional dimension with an "imaginary" axis. In mathematics, {{w|complex number}}s are numbers including both real numbers and {{w|imaginary number}}s. A complex number can be expressed as, "''a'' + ''b''i," where ''a'' and ''b'' are real numbers, but the latter imaginary part is combined with 'i,' the square root of negative one, as depicted in the central expression in the comic by √-̅1̅, indicating a further dimension of coordinates. When expanding the one-dimensional number line with an imaginary axis, it becomes two-dimensional with the "''b''i" component {{w|orthogonal}} to the original "real" number line. Linguists never use the {{w|complex plane}} to represent vowel roundedness or any other higher-dimensional features of phonemes, although the properties of complex numbers could conceivably support representing physiological features of the vocal tract, such as prior position of the articulators.{{cn}}

This comic conflates complex numbers in mathematics with "complex vowels" in linguistics. Such complex vowels are implied to create sounds which cannot be properly processed by the human brain, represented graphically as {{w|Zalgo text}} IPA, similarly to the cliché of "black speech" in {{w|Lovecraftian horror}}, a language created by alien beings with different vocal patterns than humans. In reality, people find Zalgo text amusing, thus the humor of the comic, but not particularly insanity-inducing or even more than mildly confusing.{{cn}} This is also funny because unadorned IPA shares some characteristics with Zalgo text, such as extremely uncommon glyphs and weird {{w|diacritics}}.

In linguistics, 'ə' is the {{w|schwa}} symbol, referred to in the title text and the depiction of complex phonemes, the most common vowel sound in English polysyllabic words (the 'a' in "comma" or the second 'e' in "letter.") Production of the schwa sound takes place with the tongue, jaw, and lips all in a relaxed, central position; However, it is clearly not the normal schwa sound but the one moved into the complex vowel plane by using all letters in the word twice with a diacritic on top: "ṡṡċċḣḣẇẇȧȧ". To pronounce this sound Randall suggest you just say it like the X in Fire. This of course makes no sense in the normal world, since there is no x in fire, but in the complex vowel plane there might be, and you just say it like that X. This is of course in line with the idea that the complex sounds are incomprehensible to the human ear, and most likely also impossible to pronounce for anyone other than [[:Category:Comics featuring Gretchen McCulloch|Gretchen]].

Another example of weird diacritics is in [[2619: Crêpe]], and with Zalgo text in [[1647: Diacritics]]. The use of typography to create psychological stress is explored in [[859: (]].

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}

:[A diagram shows the extrusion of the trapezoidal IPA vowel chart upwards into three dimensions. A point near the center is labeled with an equation that shows "ə + ½√-1 " as being equivalent to a made-up symbol that looks like two schwas mirroring each other with other markings above and below.]

:[Below the diagram, a character with shoulder-length dark wavy hair pronounces the new vowel in a speech bubble with unstable lines surrounding it. Two bystanders to her right are bent over slightly, clutching their heads in apparent anguish.]

:[Caption below the panel:]
:Linguistics tip: Extend the IPA vowel plane along the imaginary axis to produce the ''complex vowels'', cursed sounds which the human mind cannot comprehend.

{{comic discussion}}
[[Category:Tips]]
[[Category:Language]]
[[Category:Comics featuring Gretchen McCulloch]]