Tone is the use of pitch in language to distinguish lexical or grammatical meaning—that is, to distinguish or to inflect words.[1] All oral languages use pitch to express emotional and other para-linguistic information and to convey emphasis, contrast and other such features in what is called intonation, but not all languages use tones to distinguish words or their inflections, analogously to consonants and vowels. Languages that have this feature are called tonal languages; the distinctive tone patterns of such a language are sometimes called tonemes,[2] by analogy with phoneme. Tonal languages are common in East and Southeast Asia, Africa, the Americas and the Pacific.[1]
Tonal languages are different from pitch-accent languages in that tonal languages can have each syllable with an independent tone whilst pitch-accent languages may have one syllable in a word or morpheme that is more prominent than the others.
Mechanics
Most languages use pitch as intonation to convey prosody and pragmatics, but this does not make them tonal languages.[3] In tonal languages, each syllable has an inherent pitch contour, and thus minimal pairs (or larger minimal sets) exist between syllables with the same segmental features (consonants and vowels) but different tones. Vietnamese and Chinese have heavily studied tone systems, as well as amongst their various dialects.
Below is a table of the six Vietnamese tones and their corresponding tone accent or diacritics:
Translation: 'One person endures a day with one knife and one print.'
Tone is most frequently manifested on vowels, but in most tonal languages where voicedsyllabic consonants occur they will bear tone as well. This is especially common with syllabic nasals, for example in many Bantu and Kru languages, but also occurs in Serbo-Croatian. It is also possible for lexically contrastive pitch (or tone) to span entire words or morphemes instead of manifesting on the syllable nucleus (vowels), which is the case in Punjabi.[4]
Tones can interact in complex ways through a process known as tone sandhi.
Phonation
In a number of East Asian languages, tonal differences are closely intertwined with phonation differences. In Vietnamese, for example, the ngã and sắc tones are both high-rising but the former is distinguished by having glottalization in the middle. Similarly, the nặng and huyền tones are both low-falling, but the nặng tone is shorter and pronounced with creaky voice at the end, while the huyền tone is longer and often has breathy voice. In some languages, such as Burmese, pitch and phonation are so closely intertwined that the two are combined in a single phonological system, where neither can be considered without the other. The distinctions of such systems are termed registers. The tone register here should not be confused with register tone described in the next section.
Phonation type
Gordon and Ladefoged established a continuum of phonation, where several types can be identified.[5]
Relationship with tone
Kuang identified two types of phonation: pitch-dependent and pitch-independent.[6] Contrast of tones has long been thought of as differences in pitch height. However, several studies pointed out that tone is actually multidimensional. Contour, duration, and phonation may all contribute to the differentiation of tones. Investigations from the 2010s using perceptual experiments seem to suggest phonation counts as a perceptual cue.[6][7][8]
Tone and pitch accent
Many languages use tone in a more limited way. In Japanese, fewer than half of the words have a drop in pitch; words contrast according to which syllable this drop follows. Such minimal systems are sometimes called pitch accent since they are reminiscent of stress accent languages, which typically allow one principal stressed syllable per word. However, there is debate over the definition of pitch accent and whether a coherent definition is even possible.[9]
Tone and intonation
Both lexical or grammatical tone and prosodic intonation are cued by changes in pitch, as well as sometimes by changes in phonation. Lexical tone coexists with intonation, with the lexical changes of pitch like waves superimposed on larger swells. For example, Luksaneeyanawin (1993) describes three intonational patterns in Thai: falling (with semantics of "finality, closedness, and definiteness"), rising ("non-finality, openness and non-definiteness") and "convoluted" (contrariness, conflict and emphasis). The phonetic realization of these intonational patterns superimposed on the five lexical tones of Thai (in citation form) are as follows:[10]
Tone plus intonation in Thai
Falling intonation
Rising intonation
Convoluted intonation
High level tone
˦˥˦
˥
˦˥˨
Mid level tone
˧˨
˦
˧˦˨
Low level tone
˨˩
˧
˧˧˦
Falling tone
˦˧˨,˦˦˨
˦˦˧,˥˥˦
˦˥˨
Rising tone
˩˩˦
˧˧˦
˨˩˦
With convoluted intonation, it appears that high and falling tone conflate, while the low tone with convoluted intonation has the same contour as rising tone with rising intonation.
Tonal polarity
Languages with simple tone systems or pitch accent may have one or two syllables specified for tone, with the rest of the word taking a default tone. Such languages differ in which tone is marked and which is the default. In Navajo, for example, syllables have a low tone by default, whereas marked syllables have high tone. In the related language Sekani, however, the default is high tone, and marked syllables have low tone.[11] There are parallels with stress: English stressed syllables have a higher pitch than unstressed syllables.[12]
In many Bantu languages, tones are distinguished by their pitch level relative to each other. In multisyllable words, a single tone may be carried by the entire word rather than a different tone on each syllable. Often, grammatical information, such as past versus present, "I" versus "you", or positive versus negative, is conveyed solely by tone.
In the most widely spoken tonal language, Mandarin Chinese, tones are distinguished by their distinctive shape, known as contour, with each tone having a different internal pattern of rising and falling pitch.[13] Many words, especially monosyllabic ones, are differentiated solely by tone. In a multisyllabic word, each syllable often carries its own tone. Unlike in Bantu systems, tone plays little role in the grammar of modern standard Chinese, though the tones descend from features in Old Chinese that had morphological significance (such as changing a verb to a noun or vice versa).
Most tonal languages have a combination of register and contour tones. Tone is typical of languages including Kra–Dai, Vietic, Sino-Tibetan, Afroasiatic, Khoisan, Niger-Congo and Nilo-Saharan languages. Most tonal languages combine both register and contour tones, such as Cantonese, which produces three varieties of contour tone at three different pitch levels,[14] and the Omotic (Afroasiatic) language Bench, which employs five level tones and one or two rising tones across levels.[15]
Most varieties of Chinese use contour tones, where the distinguishing feature of the tones are their shifts in pitch (that is, the pitch is a contour), such as rising, falling, dipping, or level. Most Bantu languages (except northwestern Bantu) on the other hand, have simpler tone systems usually with high, low and one or two contour tone (usually in long vowels). In such systems there is a default tone, usually low in a two-tone system or mid in a three-tone system, that is more common and less salient than other tones. There are also languages that combine relative-pitch and contour tones, such as many Kru languages and other Niger-Congo languages of West Africa.
Falling tones tend to fall further than rising tones rise; high–low tones are common, whereas low–high tones are quite rare. A language with contour tones will also generally have as many or more falling tones than rising tones. However, exceptions are not unheard of; Mpi, for example, has three level and three rising tones, but no falling tones.
Word tones and syllable tones
Another difference between tonal languages is whether the tones apply independently to each syllable or to the word as a whole. In Cantonese, Thai, and Kru languages, each syllable may have a tone, whereas in Shanghainese,[citation needed]Swedish, Norwegian and many Bantu languages, the contour of each tone operates at the word level. That is, a trisyllabic word in a three-tone syllable-tone language has many more tonal possibilities (3 × 3 × 3 = 27) than a monosyllabic word (3), but there is no such difference in a word-tone language. For example, Shanghainese has two contrastive (phonemic) tones no matter how many syllables are in a word.[citation needed] Many languages described as having pitch accent are word-tone languages.
Tone sandhi is an intermediate situation, as tones are carried by individual syllables, but affect each other so that they are not independent of each other. For example, a number of Mandarin Chinese suffixes and grammatical particles have what is called (when describing Mandarin Chinese) a "neutral" tone, which has no independent existence. If a syllable with a neutral tone is added to a syllable with a full tone, the pitch contour of the resulting word is entirely determined by that other syllable:
Realization of neutral tones in Mandarin Chinese
Tone in isolation
Tone pattern with added neutral tone
Example
Pinyin
English meaning
high ˥
˥꜋
玻璃
bōli
glass
rising ˧˥
˧˥꜊
伯伯
bóbo
elder uncle
dipping ˨˩˦
˨˩꜉
喇叭
lǎba
horn
falling ˥˩
˥˩꜌
兔子
tùzi
rabbit
After high level and high rising tones, the neutral syllable has an independent pitch that looks like a mid-register tone – the default tone in most register-tone languages. However, after a falling tone it takes on a low pitch; the contour tone remains on the first syllable, but the pitch of the second syllable matches where the contour leaves off. And after a low-dipping tone, the contour spreads to the second syllable: the contour remains the same (˨˩˦) whether the word has one syllable or two. In other words, the tone is now the property of the word, not the syllable. Shanghainese has taken this pattern to its extreme, as the pitches of all syllables are determined by the tone before them, so that only the tone of the initial syllable of a word is distinctive.
Lexical tones and grammatical tones
Lexical tones are used to distinguish lexical meanings. Grammatical tones, on the other hand, change the grammatical categories.[16] To some authors, the term includes both inflectional and derivational morphology.[17] Tian described a grammatical tone, the induced creaky tone, in Burmese.[18]
Number of tones
Languages may distinguish up to five levels of pitch, though the Chori language of Nigeria is described as distinguishing six surface tone registers.[19] Since tone contours may involve up to two shifts in pitch, there are theoretically 5 × 5 × 5 = 125 distinct tones for a language with five registers. However, the most that are actually used in a language is a tenth of that number.
Several Kam–Sui languages of southern China have nine contrastive tones, including contour tones. For example, the Kam language has 9 tones: 3 more-or-less fixed tones (high, mid and low); 4 unidirectional tones (high and low rising, high and low falling); and 2 bidirectional tones (dipping and peaking). This assumes that checked syllables are not counted as having additional tones, as they traditionally are in China. For example, in the traditional reckoning, the Kam language has 15 tones, but 6 occur only in syllables closed with the voiceless stop consonants/p/, /t/ or /k/ and the other 9 occur only in syllables not ending in one of these sounds.
Preliminary work on the Wobe language (part of the Wee continuum) of Liberia and Côte d'Ivoire, the Ticuna language of the Amazon and the Chatino languages of southern Mexico suggests that some dialects may distinguish as many as fourteen tones or more. The Guere language, Dan language and Mano language of Liberia and Ivory Coast have around 10 tones, give or take. The Oto-Manguean languages of Mexico have a huge number of tones as well. The most complex tonal systems are actually found in Africa and the Americas, not east Asia.
Tones are realized as pitch only in a relative sense. "High tone" and "low tone" are only meaningful relative to the speaker's vocal range and in comparing one syllable to the next, rather than as a contrast of absolute pitch such as one finds in music. As a result, when one combines tone with sentence prosody, the absolute pitch of a high tone at the end of a prosodic unit may be lower than that of a low tone at the beginning of the unit, because of the universal tendency (in both tonal and non-tonal languages) for pitch to decrease with time in a process called downdrift.
Tones may affect each other just as consonants and vowels do. In many register-tone languages, low tones may cause a downstep in following high or mid tones; the effect is such that even while the low tones remain at the lower end of the speaker's vocal range (which is itself descending due to downdrift), the high tones drop incrementally like steps in a stairway or terraced rice fields, until finally the tones merge and the system has to be reset. This effect is called tone terracing.
Sometimes a tone may remain as the sole realization of a grammatical particle after the original consonant and vowel disappear, so it can only be heard by its effect on other tones. It may cause downstep, or it may combine with other tones to form contours. These are called floating tones.
In many contour-tone languages, one tone may affect the shape of an adjacent tone. The affected tone may become something new, a tone that only occurs in such situations, or it may be changed into a different existing tone. This is called tone sandhi. In Mandarin Chinese, for example, a dipping tone between two other tones is reduced to a simple low tone, which otherwise does not occur in Mandarin Chinese, whereas if two dipping tones occur in a row, the first becomes a rising tone, indistinguishable from other rising tones in the language. For example, the words 很 [xɤn˨˩˦] ('very') and 好 [xaʊ˨˩˦] ('good') produce the phrase 很好 [xɤn˧˥xaʊ˨˩˦] ('very good'). The two transcriptions may be conflated with reversed tone letters as [xɤn˨˩˦꜔꜒xaʊ˨˩˦].
Right- and left-dominant sandhi
Tone sandhi in Sinitic languages can be classified with a left-dominant or right-dominant system. In a language of the right-dominant system, the right-most syllable of a word retains its citation tone (i.e., the tone in its isolation form). All the other syllables of the word must take their sandhi form.[20][21]Taiwanese Southern Min is known for its complex sandhi system. Example: 鹹kiam5 'salty'; 酸sng1 'sour'; 甜tinn1 'sweet'; 鹹酸甜kiam7 sng7 tinn1 'candied fruit'. In this example, only the last syllable remains unchanged. Subscripted numbers represent the changed tone.
Tone change
Tone change must be distinguished from tone sandhi. Tone sandhi is a compulsory change that occurs when certain tones are juxtaposed. Tone change, however, is a morphologically conditioned alternation and is used as an inflectional or a derivational strategy.[22] Lien indicated that causative verbs in modern Southern Min are expressed with tonal alternation, and that tonal alternation may come from earlier affixes. Examples: 長 tng5 'long' vs. tng2 'grow'; 斷 tng7 'break' vs. tng2 'cause to break'.[23] Also, 毒 in Taiwanese Southern Min has two pronunciations: to̍k (entering tone) means 'poison' or 'poisonous', while thāu (departing tone) means 'to kill with poison'.[24] The same usage can be found in Min, Yue, and Hakka.[25]
Uses of tone
In East Asia, tone is typically lexical. That is, tone is used to distinguish words which would otherwise be homonyms. This is characteristic of heavily tonal languages such as Chinese, Vietnamese, Thai, and Hmong.
However, in many African languages, especially in the Niger–Congo family, tone can be both lexical and grammatical. In the Kru languages, a combination of these patterns is found: nouns tend to have complex tone systems but are not much affected by grammatical inflections, whereas verbs tend to have simple tone systems, which are inflected to indicate tense and mood, person, and polarity, so that tone may be the only distinguishing feature between "you went" and "I won't go".
In Yoruba, much of the lexical and grammatical information is carried by tone. In languages of West Africa such as Yoruba, people may even communicate with so-called "talking drums", which are modulated to imitate the tones of the language,[26] or by whistling the tones of speech.[citation needed]
Note that tonal languages are not distributed evenly across the same range as non-tonal languages.[27] Instead, the majority of tone languages belong to the Niger-Congo, Sino-Tibetan and Vietic groups, which are then composed by a large majority of tone languages and dominate a single region. Only in limited locations (South Africa, New Guinea, Mexico, Brazil and a few others) do tone languages occur as individual members or small clusters within a non-tone dominated area. In some locations, like Central America, it may represent no more than an incidental effect of which languages were included when one examines the distribution; for groups like Khoi-San in Southern Africa and Papuan languages, whole families of languages possess tonality but simply have relatively few members, and for some North American tone languages, multiple independent origins are suspected.
If generally considering only complex-tone vs. no-tone, it might be concluded that tone is almost always an ancient feature within a language family that is highly conserved among members. However, when considered in addition to "simple" tone systems that include only two tones, tone, as a whole, appears to be more labile, appearing several times within Indo-European languages, several times in American languages, and several times in Papuan families.[27] That may indicate that rather than a trait unique to some language families, tone is a latent feature of most language families that may more easily arise and disappear as languages change over time.[28]
A 2015 study by Caleb Everett argued that tonal languages are more common in hot and humid climates, which make them easier to pronounce, even when considering familial relationships. If the conclusions of Everett's work are sound, this is perhaps the first known case of influence of the environment on the structure of the languages spoken in it.[29][30] The proposed relationship between climate and tone is controversial, and logical and statistical issues have been raised by various scholars.[31][32][33]
Tone and inflection
Tone has long been viewed as a phonological system. It was not until recent years that tone was found to play a role in inflectional morphology. Palancar and Léonard (2016)[34] provided an example with Tlatepuzco Chinantec (an Oto-Manguean language spoken in Southern Mexico), where tones are able to distinguish mood, person, and number:
Forms of 'bend' in Tlatepuzco Chinantec
1 SG
1 PL
2
3
Completive
húʔ˩
húʔ˩˥
húʔ˩
húʔ˧
Incompletive
húʔ˩˧
húʔ˩˧
húʔ˩˧
húʔ˧
Irrealis
húʔ˩˥
húʔ˩˥
húʔ˩˥
húʔ˧
In Iau language (the most tonally complex Lakes Plain language, predominantly monosyllabic), nouns have an inherent tone (e.g. be˧ 'fire' but be˦˧ 'flower'), but verbs don't have any inherent tone. For verbs, a tone is used to mark aspect. The first work that mentioned this was published in 1986.[35] Example paradigms:[36]
Certain varieties of Chinese are known to express meaning by means of tone change although further investigations are required. Examples from two Yue dialects spoken in Guangdong Province are shown below.[22] In Taishan, tone change indicates the grammatical number of personal pronouns. In Zhongshan, perfective verbs are marked with tone change.
Taishan
ngwoi˧
'I' (singular)
ngwoi˨
'we' (plural)
Zhongshan
hy˨
'go'
hy˧˥
'gone' (perfective)
The following table compares the personal pronouns of Sixian dialect (a dialect of Taiwanese Hakka)[38] with Zaiwa and Jingpho[39] (both Tibeto-Burman languages spoken in Yunnan and Burma). From this table, we find the distinction between nominative, genitive, and accusative is marked by tone change and sound alternation.
There are several approaches to notating tones in the description of a language. A fundamental difference is between phonemic and phonetic transcription.
A phonemic notation will typically lack any consideration of the actual phonetic values of the tones. Such notations are especially common when comparing dialects with wildly different phonetic realizations of what are historically the same set of tones. In Chinese, for example, the "four tones" may be assigned numbers, such as ① to ④ or – after the historical tone split that affected all Chinese languages to at least some extent – ① to ⑧ (with odd numbers for the yin tones and even numbers for the yang). In traditional Chinese notation, the equivalent diacritics ⟨꜀◌꜂◌◌꜄◌꜆⟩ are attached to the Chinese character, marking the same distinctions, plus underlined ⟨꜁◌꜃◌◌꜅◌꜇⟩ for the yang tones where a split has occurred. If further splits occurred in some language or dialect, the results may be numbered '4a' and '4b' or something similar. Among the Kradai languages, tones are typically assigned the letters A through D or, after a historical tone split similar to what occurred in Chinese, A1 to D1 and A2 to D2. (See Proto-Tai language.) With such a system, it can be seen which words in two languages have the same historical tone (say tone ③) even though they no longer sound anything alike.
Also phonemic are upstep and downstep, which are indicated by the IPA diacritics ⟨ꜛ⟩ and ⟨ꜜ⟩, respectively, or by the typographic substitutes ⟨ꜞ⟩ and ⟨ꜝ⟩, respectively. Upstep and downstep affect the tones within a language as it is being spoken, typically due to grammatical inflection or when certain tones are brought together. (For example, a high tone may be stepped down when it occurs after a low tone, compared to the pitch it would have after a mid tone or another high tone.)
Phonetic notation records the actual relative pitch of the tones. Since tones tend to vary over time periods as short as centuries, this means that the historical connections among the tones of two language varieties will generally be lost by such notation, even if they are dialects of the same language.
The easiest notation from a typographical perspective – but one that is internationally ambiguous – is a numbering system, with the pitch levels assigned digits and each tone transcribed as a digit (or as a sequence of digits if a contour tone). Such systems tend to be idiosyncratic (high tone may be assigned the digit 1, 3, or 5, for example) and have therefore not been adopted for the International Phonetic Alphabet. For instance, high tone is conventionally written with a 1 and low tone with a 4 or 5 when transcribing the Kru languages of Liberia, but with 1 for low and 5 for high for the Omotic languages of Ethiopia. The tone ⟨53⟩ in a Kru language is thus the same pitch contour as one written ⟨35⟩ in an Omotic language. Pitch value 1 may be distinguished from tone number 1 by doubling it or making it superscript or both.
For simple tone systems, a series of diacritics such as ⟨ó⟩ for high tone and ⟨ò⟩ for low tone may be practical. This has been adopted by the IPA, but is not easy to adapt to complex contour tone systems (see under Chinese below for one workaround). The five IPA diacritics for level tones are ⟨ő ó ō ò ȍ⟩, with doubled high and low diacritics for extra high and extra low (or 'top' and 'bottom'). The diacritics combine to form contour tones, of which ⟨ô ǒ o᷄ o᷅ o᷆ o᷇ o᷈ o᷉⟩ have Unicode font support (support for additional combinations is sparse). Sometimes, a non-IPA vertical diacritic is seen for a second, higher mid tone, ⟨o̍⟩, so a language with four or six level tones may be transcribed ⟨ó o̍ ō ò⟩ or ⟨ő ó o̍ ō ò ȍ⟩. For the Chinantecan languages of Mexico, the diacritics ⟨◌ꜗ◌ꜘ◌ꜙ◌ꜚ⟩ have been used, but they are a local convention not accepted by the IPA.
A retired IPA system, sometimes still encountered,[40] traces the shape of the tone (the pitch trace) before the syllable, where a stress mark would go. Thus level, rising, falling, peaking and dipping tones on [o] are ⟨ˉo ˊo ˋo ˆo ˇo ⟩; these are read as high tones when contrasted with the low tones ⟨ˍo ˏo ˎo ꞈo ˬo⟩ or with mid tones, which are poorly supported by Unicode (e.g. falling ⟨˴o⟩). For a concrete example, when the diacritics are applied to the Hanyu Pinyin syllable [sa] used in Standard Chinese, it becomes easier to identify more specific rising and falling tones: [ˆsa] (high peaking tone), [ˍsa] (low level tone), etc. This system was used in combination with stress marks to indicate intonation as well, as in English [ˈgʊdˌɑːftə`nuːn] (now transcribed [ˈgʊdˌɑːftə↘nuːn]).
The most flexible system, based on the previous spacing diacritics but with the addition of a stem (like the staff of musical notation), is that of the IPA-adopted Chao tone letters, which are iconic schematics of the pitch trace of the tone in question. Because musical staff notation is international, there is no international ambiguity with the Chao/IPA tone letters: a line at the top of the staff is high tone, a line at the bottom is low tone, and the shape of the line is a schematic of the contour of the tone (as visible in a pitch trace). They are most commonly used for complex contour systems, such as those of the languages of Liberia and southern China.
The Chao tone letters have two variants. The left-stem letters, ⟨꜒꜓꜔꜕꜖⟩, are used for tone sandhi. These are especially important for the Min Chinese languages. For example, a word may be pronounced /ɕim˥˧/ in isolation, but in a compound the tone will shift to /ɕim˦mĩʔ˧˨/. This can be notated morphophonemically as ⟨//ɕim˥˧꜓mĩʔ˧˨//⟩, where the back-to-front tone letters simultaneously show the underlying tone and the value in this word. Using the local (and internationally ambiguous) non-IPA numbering system, the compound may be written ⟨//ɕim⁵³⁻⁴⁴mĩʔ³²//⟩. Left-stem letters may also be combined to form contour tones.
The second Chao letter variant are the dotted tone letters ⟨꜈꜉꜊꜋꜌⟩, which are used to indicate the pitch of neutral tones. These are phonemically null, and may be indicated with the digit '0' in a numbering system, but take specific pitches depending on the preceding phonemic tone. When combined with tone sandhi, the left-stem dotted tone letters ⟨꜍꜎꜏꜐꜑⟩ are seen.
An IPA/Chao tone letter will rarely be composed of more than three elements (which are sufficient for peaking and dipping tones). Occasionally, however, peaking–dipping and dipping–peaking tones, which require four elements – or even double-peaking and double-dipping tones, which require five – are encountered. This is usually only the case when prosody is superposed on lexical or grammatical tone, but a good computer font will allow an indefinite number of tone letters to be concatenated. The IPA diacritics placed over vowels and other letters have not been extended to this level of complexity.
Africa
In African linguistics (as well as in many African orthographies), a set of diacritics is usual to mark tone. The most common are a subset of the International Phonetic Alphabet:
High tone
acute
á
Mid tone
macron
ā
Low tone
grave
à
Minor variations are common. In many three-tone languages, it is usual to mark high and low tone as indicated above but to omit marking of the mid tone: má (high), ma (mid), mà (low). Similarly, in two-tone languages, only one tone may be marked explicitly, usually the less common or more 'marked' tone (see markedness).
When digits are used, typically 1 is high and 5 is low, except in Omotic languages, where 1 is low and 5 or 6 is high. In languages with just two tones, 1 may be high and 2 low, etc.
Asia
In the Chinese tradition, digits are assigned to various tones (see tone number). For instance, Standard Mandarin Chinese, the official language of China, has four lexically contrastive tones, and the digits 1, 2, 3, and 4 are assigned to four tones. Syllables can sometimes be toneless and are described as having a neutral tone, typically indicated by omitting tone markings. Chinese varieties are traditionally described in terms of four tonal categories ping ('level'), shang ('rising'), qu ('exiting'), ru ('entering'), based on the traditional analysis of Middle Chinese (see Four tones); note that these are not at all the same as the four tones of modern standard Mandarin Chinese.[c] Depending on the dialect, each of these categories may then be divided into two tones, typically called yin and yang. Typically, syllables carrying the ru tones are closed by voiceless stops in Chinese varieties that have such coda(s) so in such dialects, ru is not a tonal category in the sense used by Western linguistics but rather a category of syllable structures. Chinese phonologists perceived these checked syllables as having concomitant short tones, justifying them as a tonal category. In Middle Chinese, when the tonal categories were established, the shang and qu tones also had characteristic final obstruents with concomitant tonic differences whereas syllables bearing the ping tone ended in a simple sonorant. An alternative to using the Chinese category names is assigning to each category a digit ranging from 1 to 8, sometimes higher for some Southern Chinese dialects with additional tone splits. Syllables belonging to the same tone category differ drastically in actual phonetic tone across the varieties of Chinese even among dialects of the same group. For example, the yin ping tone is a high level tone in Beijing Mandarin Chinese but a low level tone in Tianjin Mandarin Chinese.
More iconic systems use tone numbers or an equivalent set of graphic pictograms known as "Chaotone letters". These divide the pitch into five levels, with the lowest being assigned the value 1 and the highest the value 5. (This is the opposite of equivalent systems in Africa and the Americas.) The variation in pitch of a tone contour is notated as a string of two or three numbers. For instance, the four Mandarin Chinese tones are transcribed as follows (the tone letters will not display properly without a compatible font installed):
Tones of Standard Chinese (Mandarin)
High tone
55
˥
(Tone 1)
Mid rising tone
35
˧˥
(Tone 2)
Low dipping tone
21(4)
˨˩˦
(Tone 3)
High falling tone
51
˥˩
(Tone 4)
A mid-level tone would be indicated by /33/, a low level tone /11/, etc. The doubling of the number is commonly used with level tones to distinguish them from tone numbers; tone 3 in Mandarin Chinese, for example, is not mid /3/. However, it is not necessary with tone letters, so /33/ = /˧˧/ or simply /˧/. If a distinction is made, it may be that /˧/ is mid tone in a register system and /˧˧/ is mid level tone in a contour system, or /˧/ may be mid tone on a short syllable or a mid checked tone, while /˧˧/ is mid tone on a long syllable or a mid unchecked tone.
IPA diacritic notation is also sometimes seen for Chinese. One reason it is not more widespread is that only two contour tones, rising /ɔ̌/ and falling /ɔ̂/, are widely supported by IPA fonts while several Chinese varieties have more than one rising or falling tone. One common workaround is to retain standard IPA /ɔ̌/ and /ɔ̂/ for high-rising (e.g. /˧˥/) and high-falling (e.g. /˥˧/) tones and to use the subscript diacritics /ɔ̗/ and /ɔ̖/ for low-rising (e.g. /˩˧/) and low-falling (e.g. /˧˩/) tones.
North America
Several North American languages have tone, one of which is Cherokee, an Iroquoian language. Oklahoma Cherokee has six tones (1 low, 2 medium, 3 high, 4 very high, 5 rising and 6 falling).[42] The Tanoan languages have tone as well. For instance, Kiowa has three tones (high, low, falling), while Jemez has four (high, mid, low, and falling).
In Mesoamericanist linguistics, /1/ stands for high tone and /5/ stands for low tone, except in Oto-Manguean languages for which /1/ may be low tone and /3/ high tone. It is also common to see acute accents for high tone and grave accents for low tone and combinations of these for contour tones. Several popular orthographies use ⟨j⟩ or ⟨h⟩ after a vowel to indicate low tone. The Southern Athabascan languages that include the Navajo and Apache languages are tonal, and are analyzed as having two tones: high and low. One variety of Hopi has developed tone, as has the Cheyenne language.
Tone orthographies
In Roman script orthographies, a number of approaches are used. Diacritics are common, as in pinyin, but they tend to be omitted.[43]Thai uses a combination of redundant consonants and diacritics. Tone letters may also be used, for example in Hmong RPA and several minority languages in China. Tone may simply be ignored, as is possible even for highly tonal languages: for example, the Chinese navy has successfully used toneless pinyin in government telegraph communications for decades. Likewise, Chinese reporters abroad may file their stories in toneless pinyin. Dungan, a variety of Mandarin Chinese spoken in Central Asia, has, since 1927, been written in orthographies that do not indicate tone.[43]Ndjuka, in which tone is less important, ignores tone except for a negative marker. However, the reverse is also true: in the Congo, there have been complaints from readers that newspapers written in orthographies without tone marking are insufficiently legible.
Standard Central Thai has five tones–mid, low, falling, high and rising–often indicated respectively by the numbers zero, one, two, three and four. The Thai alphabet is an alphasyllabary, which specifies the tone unambiguously. Tone is indicated by an interaction of the initial consonant of a syllable, the vowel length, the final consonant (if present), and sometimes a tone mark. A particular tone mark may denote different tones depending on the initial consonant. The Shan alphabet, derived from the Burmese script, has five tone letters: ႇ, ႈ, း, ႉ, ႊ; a sixth tone is unmarked.
Vietnamese uses the Latin alphabet and its six tones are marked by letters with diacritics above or below a certain vowel. Basic notation for Vietnamese tones are as follows:
The Latin-based Hmong and Iu Mien alphabets use full letters for tones. In Hmong, one of the eight tones (the ˧ tone) is left unwritten while the other seven are indicated by the letters b, m, d, j, v, s, g at the end of the syllable. Since Hmong has no phonemic syllable-final consonants, there is no ambiguity. That system enables Hmong speakers to type their language with an ordinary Latin-letter keyboard without having to resort to diacritics. In the Iu Mien, the letters v, c, h, x, z indicate tones but unlike Hmong, it also has final consonants written before the tone.
The Standard Zhuang and Zhuang languages used to use a unique set of six "tone letters" based on the shapes of numbers, but slightly modified, to depict what tone a syllable was in. This was replaced in 1982 with the use of normal letters in the same manner, like Hmong.
The syllabary of the Nuosu language depicts tone in a unique manner, having separate glyphs for each tone other than for the mid-rising tone, which is denoted by the addition of a diacritic. Take the difference between ꉬ nge [ŋɯ³³], and ꉫ ngex [ŋɯ³⁴]. In romanisation, the letters t, x, and p are used to demarcate tone. As codas are forbidden in Nuosu there is no ambiguity.
André-Georges Haudricourt established that Vietnamese tone originated in earlier consonantal contrasts and suggested similar mechanisms for Chinese.[44][45] It is now widely held that Old Chinese did not have phonemically contrastive tone.[46] The historical origin of tone is called tonogenesis, a term coined by James Matisoff.
Tone as an areal feature
Tone is sometimes an areal rather than a phylogenetic feature. That is to say, a language may acquire tones through bilingualism if influential neighbouring languages are tonal or if speakers of a tonal language shift to the language in question and bring their tones with them. The process is referred to as contact-induced tonogenesis by linguists.[47] In other cases, tone may arise spontaneously and surprisingly fast: the dialect of Cherokee in Oklahoma has tone, but the dialect in North Carolina does not, even though they were only separated in 1838. Hong Kong English is tonal.
Examples
Tone arose in the Athabascan languages at least twice, in a patchwork of two systems. In some languages, such as Navajo, syllables with glottalized consonants (including glottal stops) in the syllable coda developed low tones, whereas in others, such as Slavey, they developed high tones, so that the two tonal systems are almost mirror images of each other. Syllables without glottalized codas developed the opposite tone. For example, high tone in Navajo and low tone in Slavey are due to contrast with the tone triggered by the glottalization.
Other Athabascan languages, namely those in western Alaska (such as Koyukon) and the Pacific coast (such as Hupa), did not develop tone. Thus, the Proto-Athabascan word *tuː ('water') is toneless toː in Hupa, high-tone tó in Navajo, and low-tone tù in Slavey; while Proto-Athabascan *-ɢʊtʼ ('knee') is toneless -ɢotʼ in Hupa, low-tone -ɡòd in Navajo, and high-tone -ɡóʔ in Slavey. Kingston (2005) provides a phonetic explanation for the opposite development of tone based on the two different ways of producing glottalized consonants with either tense voice on the preceding vowel, which tends to produce a high fundamental frequency, or creaky voice, which tends to produce a low fundamental frequency. Languages with "stiff" glottalized consonants and tense voice developed high tone on the preceding vowel and those with "slack" glottalized consonants with creaky voice developed low tone.
The Bantu languages also have "mirror" tone systems in which the languages in the northwest corner of the Bantu area have the opposite tones of other Bantu languages.
Three Algonquian languages developed tone independently of one another and of neighboring languages: Cheyenne, Arapaho, and Kickapoo. In Cheyenne, tone arose via vowel contraction; the long vowels of Proto-Algonquian contracted into high-pitched vowels in Cheyenne while the short vowels became low-pitched. In Kickapoo, a vowel with a following [h] acquired a low tone, and this tone later extended to all vowels followed by a fricative. In Afrikaans the glottal fricative also lowers the tone of surrounding vowels.
In Mohawk, a glottal stop can disappear in a combination of morphemes, leaving behind a long falling tone. Note that it has the reverse effect of the postulated rising tone in Cantonese or Middle Chinese, derived from a lost final glottal stop.
In Korean, a 2013 study which compared voice recordings of Seoul speech from 1935 and 2005 found that in recent years, lenis consonants (ㅂㅈㄷㄱ), aspirated consonants (ㅍㅊㅌㅋ) and fortis consonants (ㅃㅉㄸㄲ) were shifting from a distinction via voice onset time to that of pitch change, and suggests that the modern Seoul dialect is currently undergoing tonogenesis.[48] These sound shifts still show variations among different speakers, suggesting that the transition is still ongoing.[49] Among 141 examined Seoul speakers, these pitch changes were originally initiated by females born in the 1950s, and have almost reached completion in the speech of those born in the 1990s.[50]
"There is tonogenetic potential in various series of phonemes: glottalized vs. plain consonants, unvoiced vs. voiced, aspirated vs. unaspirated, geminates vs. simple (...), and even among vowels".[51] Very often, tone arises as an effect of the loss or merger of consonants. In a nontonal language, voiced consonants commonly cause following vowels to be pronounced at a lower pitch than other consonants. That is usually a minor phonetic detail of voicing. However, if consonant voicing is subsequently lost, that incidental pitch difference may be left over to carry the distinction that the voicing previously carried (a process called transphonologization) and thus becomes meaningful (phonemic).[52]
This process happened in the Punjabi language: the Punjabi murmured (voiced aspirate) consonants have disappeared and left tone in their wake. If the murmured consonant was at the beginning of a word, it left behind a low tone; at the end, it left behind a high tone. If there was no such consonant, the pitch was unaffected; however, the unaffected words are limited in pitch and did not interfere with the low and high tones. That produced a tone of its own, mid tone. The historical connection is so regular that Punjabi is still written as if it had murmured consonants, and tone is not marked. The written consonants tell the reader which tone to use.[53]
Similarly, final fricatives or other consonants may phonetically affect the pitch of preceding vowels, and if they then weaken to [h] and finally disappear completely, the difference in pitch, now a true difference in tone, carries on in their stead.[54] This was the case with Chinese. Two of the three tones of Middle Chinese, the "rising" and the "departing" tones, arose as the Old Chinese final consonants /ʔ/ and /s/→/h/ disappeared, while syllables that ended with neither of these consonants were interpreted as carrying the third tone, "even". Most varieties descending from Middle Chinese were further affected by a tone split in which each tone divided in two depending on whether the initial consonant was voiced. Vowels following a voiced consonant (depressor consonant) acquired a lower tone as the voicing lost its distinctiveness.[55]
The same changes affected many other languages in the same area, and at around the same time (AD 1000–1500). The tone split, for example, also occurred in Thai and Vietnamese.
In general, voiced initial consonants lead to low tones while vowels after aspirated consonants acquire a high tone. When final consonants are lost, a glottal stop tends to leave a preceding vowel with a high or rising tone (although glottalized vowels tend to be low tone so if the glottal stop causes vowel glottalization, that will tend to leave behind a low vowel). A final fricative tends to leave a preceding vowel with a low or falling tone. Vowel phonation also frequently develops into tone, as can be seen in the case of Burmese.
Stages of tonogenesis
1. The table below is the process of tonogenesis in White Hmong, described by Martha Ratliff.[56][57] The tone values described in the table are from Christina Esposito.[58][59]
3. The table below is the tonogenesis of Tai Dam (Black Tai). Displayed in the first row is the Proto-Southern Kra-Dai, as reconstructed by Norquest.[65][66][67]
The tones across all varieties (or dialects) of Chinese correspond to each other, although they may not correspond to each other perfectly. Moreover, listed above are citation tones, but in actual conversations, obligatory sandhi rules will reshape them. The Sixian and Hailu Hakka in Taiwan are famous for their near-regular and opposite pattern (of pitch height). Both will be compared with Standard Chinese below.
Word
Hailu Hakka
Standard Chinese
Sixian Hakka
老人家 'elder people'
loLR nginHL gaHF
laoLF renMR jiaHL (→ laoLFrenjia)
loMF nginLL gaLR
碗公 'bowl'
vonLR gungHF
wanLF gongHL
vonMF gungLR
車站 'bus stop'
chaHF zhamLL
cheHL zhanHF
caLR zamHL
自行車 'bicycle'
ciiML hangHL chaHF
ziHF xingMR cheHL
ciiHL hangLL caLR
H: high; M: mid; L: low;
L: level; R: rising; F: falling
5. The table below shows Punjabi tonogenesis in bisyllabic words. Unlike the above four examples, Punjab was not under the east Asian tone sprachbund, instead belonging to a separate one in its own area of Punjab. As well, unlike the above languages, which developed tone from syllable endings, Punjab developed tone from its voiced aspirated stops losing their aspiration.[73] Tone does occur in monosyllabic words as well, but are not discussed in the chart below.
A large number of North, South and Central American languages are tonal, including many of the Athabaskan languages of Alaska and the American Southwest (including Navajo),[11] and the Oto-Manguean languages of Mexico. Among the Mayan languages, which are mostly non-tonal, Yucatec (with the largest number of speakers), Uspantek, and one dialect of Tzotzil have developed tone systems. The Ticuna language of the western Amazon is perhaps the most tonal language of the Americas. Other languages of the western Amazon have fairly simple tone systems as well. However, although tone systems have been recorded for many American languages, little theoretical work has been completed for the characterization of their tone systems. In different cases, Oto-Manguean tone languages in Mexico have been found to possess tone systems similar to both Asian and African tone languages.[90]
Europe
Norwegian[91] and Swedish share tonal language features via the 'Single' and 'Double' tones, which can be marked in phonetic descriptions by either a preceding ' (single tone) or ៴ (double tone). The single tone starts low and rises to a high note (˩˦). The double tone starts higher than the single tone, falls, and then rises again to a higher pitch than the start (˨˩˦), similar to the Mandarin third tone (as in the word nǐ, /ni˨˩˦/).
Examples in Norwegian: 'bønder (farmers) and ៴bønner (beans) are, apart from the intonation, phonetically identical (despite the spelling difference). Similarly, and with in this case identical spelling, 'tømmer (timber) and ៴tømmer (present tense of verb tømme – to empty) are distinguished only through intonation. Entire phrases can also change meaning depending on intonation, like the phrase "Hagen gror igjen" which can mean either "The garden is growing again" or "The garden is getting overgrown".
According to Watson, Scouse contrasts certain tones.[92]
All Khoisan languages in southern Africa have tone systems; some languages like Sandawe have tone systems like that of Cantonese.
Slightly more than half of the Athabaskan languages, such as Navajo, have tone systems (languages in California and Oregon, and a few in Alaska, excluded). The Athabaskan tone languages fall into two "mirror image" groups. That is, a word which has a high tone in one language will have a cognate with a low tone in another, and vice versa.
Iroquoian languages like Mohawk commonly have tone; the Cherokee language has the most extensive tonal inventory, with six tones, of which four are contours.[42] Here the correlation between contour tone and simple syllable structures is clearly shown; Cherokee phonotactics permit only syllables of the structure (s)(C)V.
All Oto-Manguean languages are tonal. In some cases, as with Mixtec, tone system variations between dialects are sufficiently great to cause mutual unintelligibility.
Many languages of New Guinea like Siane possess register tone systems.
Some Indo-European languages (notably Swedish, Norwegian, Lithuanian, Latvian, and Serbo-Croatian) as well as others possess what is termed pitch accent, where only the stressed syllable of a word can have different contour tones; these are not always considered to be cases of tone language. However some languages, belonging to the Indo-Aryan branch of the Indo-European family, are tonal such as Punjabi and Dogri.
In some cases, it is difficult to determine whether a language is tonal. For example, the Ket language of Siberia has been described as having up to eight tones by some investigators, as having four tones by others, but by some as having no tone at all. In cases such as these, the classification of a language as tonal may depend on the researcher's interpretation of what tone is. For instance, the Burmese language has phonetic tone, but each of its three tones is accompanied by a distinctive phonation (creaky, murmured or plain vowels). It could be argued either that the tone is incidental to the phonation, in which case Burmese would not be phonemically tonal, or that the phonation is incidental to the tone, in which case it would be considered tonal. Something similar appears to be the case with Ket.
The 19th-century constructed languageSolresol can consist of only tone, but unlike all natural tonal languages, Solresol's tone is absolute, rather than relative, and no tone sandhi occurs.
^Tones change over time, but may retain their original spelling. The Thai spelling of the final word in the tongue-twister, ⟨ไหม⟩, indicates a rising tone, but the word is now commonly pronounced with a high tone. Therefore a new spelling, มั้ย, is occasionally seen in informal writing.
^ abcThese extended Chao tone letters have not been accepted by the IPA, but are often used in conjunction with the official letters.
^Specifically, words that had the Middle Chinese ping (level) tone are now distributed over tones 1 and 2 in Mandarin Chinese, while the Middle Chinese shang (rising) and qu (exiting) tones have become Mandarin Chinese tones 3 and 4, respectively. Words with the former ru (entering) tone, meanwhile, have been distributed over all four tones.
^Singh, Chander Shekhar (2004). Punjabi Prosody: The Old Tradition and The New Paradigm. Sri Lanka: Polgasowita: Sikuru Prakasakayo. pp. 70–82.
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^ abKuang, J.-J. (2013). Phonation in Tonal Contrasts (Doctoral dissertation). University of California, Los Angeles.
^Xu, Xiaoying; Liu, Xuefei; Tao, Jianhua; Che, Hao (2012). Pitch and Phonation Type Perception in Wenzhou Dialect Tone. Tonal Aspects of Languages-Third International Symposium.
^Wedeking, Karl (1985). "Why Bench' (Ethiopia) has five level tones today". Studia Linguistica Diachronica et Sinchronica. Berlin: Mouton de Gruyter. pp. 881–902.
^Hyman, Larry (24 May 2016). "Lexical vs. Grammatical Tone: Sorting out the Differences". 5th International Symposium on Tonal Aspects of Languages (TAL 2016). ISCA: ISCA. pp. 6–11. doi:10.21437/tal.2016-2.
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^ abChen, Matthew Y. (2000). Tone Sandhi: Patterns across Chinese dialects. Cambridge, England: Cambridge University Press.
^Lien, Chin-fa (1999). "A Typological Study of Causatives in Taiwanese Southern Min". Tsing Hua Journal of Chinese Studies. 29 (4): 395–422. Lien, Chin-fa (連金發). (1999). A Typological Study of Causatives in Taiwanese Southern Min [台灣閩南語使動式的類型研究]. The Tsing Hua Journal of Chinese Studies, 29(4), 395-422.
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^ abMaddieson, Ian (2013). "Tone". In Dryer, Matthew S.; Haspelmath, Martin (eds.). The World Atlas of Language Structures Online. Leipzig: Max Planck Institute for Evolutionary Anthropology. Archived from the original on 2011-02-26. Retrieved 2020-09-19.
^Palancar, E. L.; Léonard, J.-L. (2016). "Tone and inflection: An introduction". In Palancar, E. L.; Léonard, J.-L. (eds.). Tone and Inflection: New Facts and New Perspectives. Berlin: Walter de Gruyter. pp. 1–12. Archived from the original on 2019-01-23. Retrieved 2019-01-23.
^Bateman, Janet. "Iau Verb Morphology"(PDF). Nusa, Linguistic Studies of Indonesian and Other Languages in Indonesia. Jakarta: Universitas Katolik Atma Jaya. pp. 3rd (9th in PDF). Archived(PDF) from the original on 2017-03-04.
^Foley, William A. (2018). "The languages of Northwest New Guinea". In Palmer, Bill (ed.). The Languages and Linguistics of the New Guinea Area: A Comprehensive Guide. The World of Linguistics. Vol. 4. Berlin: De Gruyter Mouton. pp. 433–568. ISBN978-3-11-028642-7.
^Hyman, L. M. (2016). "Morphological tonal assignments in conflict: Who wins?". In Palancar, E. L.; Léonard, J. L. (eds.). Tone and Inflection: New Facts and New Perspectives. Berlin, Germany: Walter de Gruyter. pp. 15–39.
^Lai, W.-Y. (2010). "The Source of Hakka Personal Pronoun and Genitive with the Viewpoint of Diminutive". Journal of Taiwanese Languages and Literature. 5 (1): 53–80.
^Sun, H.-K. (1996). "Case markers of personal pronouns in Tibeto-Burman languages". Linguistics of the Tibeto-Burman Area. 19 (2): 1–15.
^Kang, Yoonjung; Han, Sungwoo (September 2013). "Tonogenesis in early Contemporary Seoul Korean: A longitudinal case study". Lingua. 134: 62–74. doi:10.1016/j.lingua.2013.06.002.
^Kim, Mi-Ryoung (2013). "Tonogenesis in contemporary Korean with special reference to the onset-tone interaction and the loss of a consonant opposition". The Journal of the Acoustical Society of America. 133 (3570): 3570. Bibcode:2013ASAJ..133.3570K. doi:10.1121/1.4806535.
^Ratliff, Martha (7 April 2015). "Tonoexodus, Tonogenesis, and Tone Change". In Honeybone, Patrick; Salmons, Joseph (eds.). Oxford Handbooks Online. Oxford University Press. pp. 245–261. doi:10.1093/oxfordhb/9780199232819.013.021.
^Esposito, Christina M. (2012). "An acoustic and electroglottographic study of White Hmong tone and phonation". Journal of Phonetics. 40 (3). Elsevier BV: 466–476. doi:10.1016/j.wocn.2012.02.007. ISSN0095-4470.
^Matisoff, James A (1999). Tibeto-Burman tonology in an areal context. Proceedings of the symposium “Crosslinguistic studies of tonal phenomena: Tonogenesis, Japanese Accentology, and Other Topics. Tokyo: Tokyo University of Foreign Studies, Institute for the Study of Foreign Studies, Institute for the Study of Languages and Cultures of Asia and Africa. pp. 3–31.
^Ferlus, Michel (2004). The origin of tones in Viet-Muong. Papers from the Eleventh Annual Conference of the Southeast Asian Linguistics Society 2001. pp. 297–313. S2CID194697589.
^Alves, Mark (1995). "Tonal Features and the Development of Vietnamese Tones"(PDF). Working Papers in Linguistics: Department of University of Hawaii at Manoa. 27: 1–13. Archived(PDF) from the original on 2022-10-09. Clearly, language contact with Chinese had something to do with the development of Vietnamese tones, as the tonal system of Vietnamese corresponds quite directly to the eight-way system of Middle Chinese[dead link]
^Bloch, Bernard. 1950. Studies in Colloquial Japanese. Part 4: Phonemics. Language 26. 86–125.
^Martin, Samuel E. 1952. Morphophonemics of Standard Colloquial Japanese. (Language Dissertation, 47.) Baltimore: Linguistic Society of America.
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^Lust, Barbara; Wali, Kashi; Gair, James; et al., eds. (1999). Lexical Anaphors and Pronouns in Selected South Asian Languages. Walter de Gruyter. p. 637. ISBN978-3-11-014388-1.
^Sen, Geeti (1997). Crossing Boundaries. Orient Blackswan. p. 132. ISBN978-81-250-1341-9. Possibly, Punjabi is the only major South Asian language that has this kind of tonal character. There does seem to have been some speculation among scholars about the possible origin of Punjabi's tone-language character but without any final and convincing answer.
^Pal, Animesh K. (1965). "Phonemes of a Dacca Dialect of Eastern Bengali and the Importance of Tone". Journal of the Asiatic Society. VII: 44–45. The tonal element in Panjabi as well as in Eastern Bengali has been noticed in respect of various new ways of treating the voiced aspirates and 'h'.
^Masica, Colin P. (1991), The Indo-Aryan Languages, Cambridge University Press, p. 102, Glottalization is often connected with tone and in the East Bengali cases seem to be related to the evolution of tone from the voiced aspirates.
^Marm, Ingvald (1967). Teach Yourself Norwegian (2nd ed.). Aylesbury, England: The English Universities Press Ltd. pp. 13–14. ISBN978-0-82888376-4.
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