Grassmann's law
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Grassmann's law, named after its discoverer Hermann Grassmann, is a dissimilatory phonological process in Ancient Greek and Sanskrit which states that if an aspirated consonant is followed by another aspirated consonant in the next syllable, the first one loses the aspiration. The descriptive version was described for Sanskrit by Pāṇini.
Here are some examples in Greek of the effects of Grassmann's Law:
- [tʰu-ɔː] θύω 'I sacrifice (an animal)'
- [e-tu-tʰɛː] ἐτύθη 'it was sacrificed'
- [tʰrik-s] θρίξ 'hair'
- [trikʰ-es] τρίχες 'hairs'
- [tʰap-sai] θάψαι 'to bury (aorist)'
- [tʰapt-ein] θάπτειν 'to bury (present)'
- [tapʰ-os] τάφος 'a grave'
- [tapʰ-ɛː] ταφή 'burial'
In the reduplication which forms the perfect tense in both Greek and Sanskrit, if the initial consonant is aspirated, the prepended consonant is unaspirated by Grassmann's Law. For instance [pʰu-ɔː] φύω 'I grow' : [pe-pʰuː-ka] πέφυκα 'I have grown'.
The fact that deaspiration in Greek took place after the change of Proto-Indo-European *bʰ, *dʰ, *gʰ to /pʰ, tʰ, kʰ/, and the fact that no other Indo-European languages have Grassmann's law, has been argued to show that Grassmann's law developed independently in Greek and Sanskrit, i.e. that it was not inherited from PIE[1]
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[edit] In Greek
In Koine Greek, outside of the context of reduplicating syllables, the alternations involving labials and velars have been completely levelled, and thus Grassmann's law only remains in effect for the alternation between /t/ and /tʰ/, as in the latter two examples above. It makes no difference whether the /tʰ/ in question continues PIE *dʰ or *gʷʰ-.
Thus alongside the pair [taˈkʰus] 'fast' : [ˈtʰassɔːn] 'faster' displaying Grassmann's law, Greek has the pair [paˈkʰus] 'thick' : [ˈpassɔːn] 'thicker' from the PIE etymon *bʰn̩gʰ- (established by cognate forms like Sanskrit bahú- 'abundant' since *bʰ is the only point of intersection between Greek p and Sanskrit b), in which the /p/ in the comparative is a result of levelling. Similarly, [ˈpeutʰomai] ~ [punˈtʰanomai] 'come to know' from PIE *bʰewdʰ- has the future ['peusomai]. Contrariwise, only /tʰ/ dissimilates before aspirated affixes like the aorist passive in /-tʰɛː/ and the imperative in /-tʰi/; /pʰ/ and /kʰ/ do not, as in [ˈpʰatʰi] 'speak!'.
[edit] Diaspirate roots
Cases like [tʰrik-s] ~ [trikʰ-es] and [tʰap-sai] ~ [tapʰ-ein] illustrate the phenomenon of diaspirate roots, for which two different analyses have been given.
In one account, the "underlying diaspirate" theory, the underlying roots are taken to be /tʰrikʰ/ and /tʰapʰ/. When an /s/ (or word edge, or various other sounds) immediately follows, then the second aspiration is lost, and the first aspirate therefore survives ([tʰrik-s], [tʰap-sai]). If a vowel follows the second aspirate, it survives unaltered, and therefore the first aspiration is lost by Grassmann's Law ([trikʰ-es], [tapʰ-os]).
A different analytical approach was taken by the ancient Indian grammarians. In their view, the roots are taken to be underlying /trikʰ/ and /tapʰ/. These roots persist unaltered in [trikʰ-es] and [tapʰ-ein]. But if an /s/ follows, it triggers an "aspiration throwback" (ATB), in which the aspiration migrates leftward, docking onto the initial consonant ([tʰrik-s], [tʰap-sai]).
In his initial formulation of the law, Grassmann briefly referred to ATB to explain these seemingly aberrant forms. However, the consensus among contemporary historical linguists is that the former explanation (underlying representation) is the correct one.
In the later course of Sanskrit, (and under the influence of the grammarians) ATB was applied to original monoaspirates through an analogical process. Thus, from the verb root /gah/ ('to plunge'), the desiderative stem /jigʱakʰa-/ is formed. This is by analogy with the forms /bubʱutsati/ (a desiderative form) and /bʱut/ (a nominal form, both from the root /budʱ/ 'to be awake'), originally PIE *bʰudʰ-).
The linguist Ivan Sag has pointed out an advantage of the ancient Indian theory, namely that it explains the fact that there are no patterns like hypothetical "[trik-s] ~ [trikʰ-es]", which are not ruled out by the underlying-diaspirate theory. From a diachronic standpoint, the absence of these patterns in Greek is explained by the Proto-Indo-European constraint against roots of the shape *T...Dʰ-.
[edit] Other languages
Grassmann's Law is also known to occur in Ofo, an extinct and underdocumented Siouan language. The law is found in compounds such as the following:
- o´skha ('the crane') + afhaⁿ´ ('white') → oskạfha ('the white egret')
A similar phenomenon occurs in Meitei (a Tibeto-Burman language) in which an aspirated consonant is deaspirated if preceded by an aspirated consonant (including /h/) in the previous syllable. The deaspirated consonants are then voiced intervocalically.
- /tʰin-/ ('pierce') + /-khət/ ('upward') → [tʰingət] ('pierce upwards')
- /səŋ/ ('cow') + /kʰom/ ('udder') → [səŋgom] ('milk')
- /hi-/ ('trim') + /-tʰok/ ('outward') → [hidok] ('trim outwards')
[edit] References
- ^ See discussion in Collinge (1985:47-61)
[edit] Bibliography
- Collinge, N.E. (1985), written at Amsterdam, The Laws of Indo-European, John Benjamins, ISBN 0-915027-75-5
- Chelliah, Shobhana L. (1997). A grammar of Meithei. Berlin: Mouton de Gruyter. ISBN 0-19-564331-3.
- de Reuse, Willem J. (1981). Grassmann's law in Ofo. International Journal of American Linguistics, 47 (3), 243-244.
- Sag, Ivan. A. (1974) "The Grassmann's Law Ordering Pseudoparadox," Linguistic Inquiry 5, 591-607.

