Laryngeal Traces without Laryngeals
in Vedic Metre?
MARTIN JOACHIM KÜMMEL
1. THE THEORY OF LARYNGEALS ‘MAKING POSITION’
Already in 1927, ‘the young Kuryłowicz’ made the observation
that in some words the presence of the newly found IndoEuropean ‘laryngeal’ consonants still seemed to have a consonantal effect causing metrical irregularities in Vedic (see also
Kuryłowicz 1928). But his idea remained largely unnoticed until
the late Jochem Schindler revived it (in lectures), and, lately, the
problem was mentioned in the metrical edition of Van Nooten
and Holland (1994: vi) and made the object of two papers by Jost
Gippert (1997; 1999), and of several by Gary Holland (most recently, at our conference).
What is this impact of Pre-Vedic ‘laryngeal’ consonants on
Vedic metre? It is clear that a Pre-Vedic, Early Proto-IndoIranian structure *VC.HV = – × lost its laryngeal without a
trace, leading to a Common Indo-Iranian and Vedic structure
*V.CV = ◡ ×. But the earlier scansion – × could have survived as
a metrical licence (lexically or ‘phrasally’ conditioned, not general): a synchronically light syllable may appear in the place of a
heavy syllable (brevis in longo scansion for which I will use the
abbreviation BIL and the symbol ᴖ ).
26
MARTIN JOACHIM KÜMMEL
NB: This allegedly includes cases of the Indo-Iranian ‘Vocalization’ *CHC > *CHьC (> *C(h)ьC > Vedic CiC) – a fact that has
been used as an argument to show that a svarabhakti vowel developed following the consonantal laryngeal.
Gippert (1997: 78) claims that ‘at least’ 100 out of 215 cases
of irregular triṣṭubh cadences can be explained by laryngeal effects. However, in this counting he explicitly included other
laryngeal effects as well as doubtful cases where the laryngeal
could only be reconstructed circularly because of the metrical
data (e.g., for áhan- ‘day’). If we subtract these, the number is
reduced to 76 out of 215, i.e., about 35%. Now it is crucial to
compare this to the general frequency of such syllables containing a laryngeal following a short vowel and a single consonant –
which Gippert did not do (though he was aware of the problem,
1999: 125). To get an idea, I simply counted the verbal roots with
a synchronic structure °aC- in the RV, and thus I arrived at
approximately 80 seṭ roots vs. 120 aniṭ roots, i.e., roughly 40%.
Since this is the same percentage as for ‘brevis in longo’, we may
conclude that there is no significantly heightened frequency of
seṭ cases showing brevis in longo when compared to their general
frequency. But in fact, the locus classicus of the problem has
never been the triṣṭubh cadence alone.
1.1. Suggestive data present themselves when we have a look at
the words and verses collected by Oldenberg (1888: 11–12, 64)
and Arnold (1905, §190 ii & §220 ii) for purely metrical reasons:
A laryngealist’s eyes will soon recognize many ‘laryngeal’ cases,
like savit́ at the end of the gāyatrī or jagatī cadence, standing in
the place of – ◡ ×, as a preform *sau̯Hь-t́ would have counted,
e.g., RV 5.82.9c prá ca suv́ti savit́ ◡ ◡ ◡ – | ◡ ᴖ × (opposed to
more frequent regular scansion ◡ ◡ – of this form after the caesura); and similarly but much more rarely in the triṣṭubh cadence, e.g., jánāḥ for – ×, e.g., RV 6.51.11b pūṣ́ bhágo áditiḥ
27
Laryngeal Traces without Laryngeals in Vedic Metre
páñca jánāḥ = – – ◡ ◡ ' ◡ ◡ – | – ◡ ᴖ ×, as if we still had the old
form *ánH-ās.
Significantly these irregular scansions are most common in
Arnold’s ‘Archaic’ period of Vedic metre, continuously decreasing
in later periods (Arnold 1905, §221), so it might well be called an
archaism. Of course, Arnold’s chronology is not proven (and partly based on exactly these scansions), but it would fit into our
theory, and we might accept it for the time being.
Now before we proceed, we must bear in mind that what we
are speaking about are metrical rules, not linguistic reality, as
shown by the very special distribution. Most often, only one of a
lexeme’s possible prosodic structures displays the phenomenon.
E.g., it is attested in disyllabic forms of śáru- and the plural of
jána- but never in trisyllabic forms of these words nor even the
singular of jána-. On the contrary, it is never found in disyllabic
forms of hári-, ávas-, kaví- or the simple noun háva- while trisyllabic forms of these word or roots may show BIL. And while
trisyllabic forms of duhitár- do show it (as against quadrisyllabic
ones), structurally identical words of similar frequency do not,
e.g., janitár-. It is far less frequent that we find a word or root
that shows BIL in more than one position. The data for some
important words may be summarized in this table:
Scansion of
first syllable
Disyllabic
Trisyllabic
Quadrisyllabic
partly heavy
śáru-, jána- pl.
śávas, rath́-, sákhi-
savitár-, duhitár-,
hári-, ávas-,
háviya-, kavíśávas-, rath́-, sakhiyá-
--
only light
hári-, ávas, háva-,
kaví-, jána- sg.
śáru-, harít-, háritajanitár-, avitár-
savitár-,
duhitár-
28
MARTIN JOACHIM KÜMMEL
We can conclude that normally BIL scansion is not a quality
of the word or root itself but of some forms in metrically defined
places. This behaviour is different from, e.g., genitive plural
*-aām in all metrical positions (Arnold 1905, §143).
Already Oldenberg had noticed the main area of the phenomenon: The first syllables (second compound members included) of
a. trisyllabic forms of words beginning with two light syllables
in the cadence of 8/12 syllable verses (Arnold 1905, §190 ii &
§220 ii),
b. disyllabic forms of words with a light first syllable in the
triṣṭubh cadence (Arnold 1905, §220 ii).
NB: It is important to note that from a metrical perspective we
cannot assume brevis in longo except when the brevis follows a
regular light syllable in the cadence, i.e., when the text gives
◡ ᴖ × or ◡ ᴖ ◡ ×. When an irregularly long syllables precedes the
brevis, i.e., in the case of – ◡ ◡ × for ◡ – ◡ × or – ◡ × for ◡ – ×
(see Arnold 1905, §190v & §220v), the phenomenon could rather
be understood as a kind of anaclasis ( ◡ – > – ◡ ) and must be
kept apart (pace Gippert).
Now, there are some other problems in this account of ‘laryngealistic’ metrics.
1. It is all about frequency or probability, not absolute rules: Is
there really a difference in frequency between laryngeal
cases and non-laryngeal cases? If there is, how to explain the
non-laryngeal cases? Are they caused by secondary metrical
analogy? Or could there be a third factor causing higher frequency of laryngeal cases?
2. The problem of metre itself: The rules would have to be
inherited from Proto-Indo-Iranian, but was syllable quantity
relevant in the metre then? As is well known, Old Avestan
Laryngeal Traces without Laryngeals in Vedic Metre
29
metrics is syllable counting irrespective of quantity (some
slight tendencies left aside). If this should be old, IndoIranian metrics could hardly have been different, and we
would have to assume a special Indo-Aryan development before the loss of laryngeals – in spite of the fact that the loss of
these in postconsonantal position seems to be a common or
even Proto-Indo-Iranian process. Unfortunately, it is less
than clear whether the nearly total neglect of quantity in
Avestan is an archaism or an innovation.
3. Individual problems: Why do some ‘laryngealic’ words show
irregular scansion, and others do not? Why is there not a single instance of a heavy first syllable of words as frequent as
prathamá-, janitár- or the singular of jána-?
4. Relative chronology: The aspiration of preceding stops may
presuppose (at least to my understanding of aspiration processes, pace Schindler as well as Gippert 1997: 63–64) the loss
of segmental *h2: *Th2 > *Th > *Th, at least in Proto-IndoIranian. So the metrical rule would have to be older than that.
5. Last but not least: What is our heuristic profit in concrete
cases? Can Vedic metre prove or disprove original postconsonantal laryngeals in the absence of other evidence?
To answer these questions let us now have a more precise
look at the data. I started from Arnold’s collection of irregular
cadences and collected the respective words, concentrating on
those that occur rather frequently (more than once in the material). Details about these and some other cases may be found in
the appendix at the end.
1.2. First we shall consider lexical distribution: Which words do
show BIL scansion? We may divide them into four classes:
a. Words with a – fairly – certain postconsonantal laryngeal in
PII, e.g., ávas-, śávas-, savitár-, duhitár-, sakhiyá-/sákhi-,
30
MARTIN JOACHIM KÜMMEL
átithi-, hári-, háviya-, rátha-/rathiya-, jána-, kaví- (rare) – in
sandhi or compounds, the preservation of original laryngeals
is less probable, as these combinations might be younger
(e.g., áditi-, úd V, duritá-).
b. An equally large group of words that quite certainly did not
exhibit a postconsonantal laryngeal, e.g., ajára-, udára-,
mánas-, apás-, br̥hat-, abhítas, -vacas-, uṣás-, r̥tú-, amŕ̥ta-,
bhŕ̥gu-, namasíyà-, ap-, nár-.
c. Words where a postconsonantal laryngeal in PII or its postconsonantal position is possible but uncertain, often without
an assured etymology, e.g., váruṇa-, ŕ̥ṣi-, marút-, aruṣá-, yaśas-, sanutár, mánuṣ-, áhan-, suffix -(t)ama-, -mahas-.
d. Some cases where a heavy scansion might be explained by
original vowel or consonantal length, thus not providing evidence at all, e.g., gr̥hápati- (for *gr̥h́-pati- < *°ó-poti- with
a residue of lengthening by Brugmann’s law?), ácidhuvam
(< *áciddhuvam, Korn 1998: 178, n. 275), dádr̥śe (< *d́dr̥ś-?),
vavr̥mahe (for*vu-vūr-m°, see Gippert 1997: 75; Kümmel
2000: 459), ruruhur (<*Hru-Hrudh-), áraruṣ- (*á-rā-r° or
*á-ra-rH-?), no ava (< *nō (H)áu̯a < *nas Háu̯a).
Of course, the groups a and b are the most relevant, but on
the whole, the picture looks rather like what Oldenberg said
(1888: 12):
Es ist kaum zu viel gesagt, dass es in häufigeren Worten keine
Kürze giebt [– sofern natürlich ihre Umgebung zu den umgebenden
Stellen des metrischen Schemas passt –], die nicht gelegentlich an
drittletzter Stelle des achtsylbigen Pâda statt der Länge gebraucht
würde,
i.e., every common word form with two successive short syllables
might be used at the end of the cadence of 8 syllable verses
(cf. Arnold 1905: 159). Indeed, in ‘dimeter verse’ BIL scansion is
more than thrice as frequent as in trimeter verse; compare the
counting of Gippert (1999: 107): 7.15% (8 syllables) against
Laryngeal Traces without Laryngeals in Vedic Metre
31
1.64% (11 syllables) and 2.21% (12 syllables) in the trimeter
verse. Why this difference?
2. THE METRICAL POSSIBILITIES
Here the constraints of the metre are crucial. They are quite
different depending on the verse type.
2.1. Word forms beginning with two light syllables followed by a
(potentially) heavy third syllable (i.e., with the structure ◡ ◡ – )
are rather difficult to place, as can be inferred from the metrical
schemata (unpreferred syllable weights are written above the
preferred):
Dimeter verse (8 syllables)
Regular anuṣṭubh, gāyatrī : –̆
◡
̅ –̆ | ◡ – ◡ ||
Trimeter verse (11 syllables, triṣṭubh type)
Early caesura: –̆ ◡ ̅ –̆ ' ◡ ◡ –̆ | – ◡ – ||
Late caesura: –̆ ◡ ̅ –̆ ' ◡ ̅ ◡ | – ◡ – ||
Trimeter verse (12 syllables, jagatī type)
Early caesura: –̆ ◡ ̅ –̆ ' ◡ ◡ –̆ | – ◡ – ◡ ||
Late caesura: –̆ ◡ ̅ –̆ ' ◡ ̅ ◡ | – ◡ – ◡ ||
2.2. The relevant metrical constraints can be displayed in an
Optimality Theory type table (cf. McCarthy & Prince 2001: 5ff.)
which lists the constraints and their violations triggered by the
‘candidates’ (the possible placement of two light syllables followed by a heavy one). The constraints are ordered from left to
right according to their decreasing rank (i.e. the frequency of
their being violated increases from left to right).
The relevant constraints are indicated as follows: w = word
boundary before the caesura; constraints as to syllable weight
are indicated by the respective number of the syllable within the
32
MARTIN JOACHIM KÜMMEL
verse followed by l = light or h = heavy. As elsewhere, * means
violation of a constraint.
Trimeter verse with {early caesura} (late caesura)
w
5–7
11l
9l
8h 10h (7l)
(*)
6l
{5l} 2or3h {7h} 4or5h 2h
(*)
*
1–3
{*}
6–8
*
2–4
*
10–12
*
8–10
*
*
9–11
7–9
4–6
3–5
4h
*
*
*
*
*
{*}
*
{*}
*
Normal dimeter verse
7l
5l
2or3h
6h
2h
*
1-3
*
6-8
*
2-4
*
3-5
5-7
4h
*
4-6
*
*
*
If we rank the constraints according to frequency of their
violation in Arnold’s collection, we see an important difference.
While for all variants of trimeter verse the respective forms can
easily be placed after the caesura, in dimeter verse there is no
such place, so violation of a constraint is necessary.
But word forms like that are too frequent in the language to
avoid them completely, and after the middle and the beginning of
the line, the third best candidate for their placement would be
the cadence. Thus, the metrical need for irregular scansion would
Laryngeal Traces without Laryngeals in Vedic Metre
33
be very much stronger in dimeter verse, and the respective scansions might be considered as artificial as ‘metrical lengthening’
in Homeric Greek.
2.3. As to the relative frequency of irregular scansion, different
approaches are possible.
2.3.1. First, we may compare with a given word forms of identical
prosodic structure. Here we see that words with or without
laryngeals may show the same range from very high to very low
percentages, e.g., from Groups b and c: udára- 66.7%; ajára30.8%; namasi yà- 30%; áruṣī- 21.4%; abhítas 12% – very similar
to Group a: yávasa- 40%; údita-/úditi- 28.6%; hávi ya- 20.5%;
ávas- 19.4%; átithi- 18.6%; and we find some possible candidates
for a without BIL: avitár-, prathamá-, harít- (or hári-, kaví- when
disyllabic).
2.3.2. Second, we might compare the frequency of individual
words relative to other words of the respective derivation type.
Here we will immediately see that some types only comprise seṭ
roots. This is because of what we might call the ‘laryngeal bias’:
Derivation from seṭ roots (i.e., roots ending in postconsonantal
laryngeal) produces more light syllables than from aniṭ roots,
because of two special effects:
1. If a full grade root is combined with a consonantal suffix, seṭ
roots become disyllabic, producing two successive short syllables, e.g., *°aCH-C° > °aCi-C° ◡ ◡ ×: savitár-, jánitár-, átithi-,
while aniṭ root derivatives will have one heavy syllable instead: *°aC-C° > °aC-C° – × : sotári, bhartár-. This increases
the frequency of seṭ cases that might cause metrical problems.
2. The common type of simple thematic nouns or any other type
with o grade of the root will have a short root syllable only
with seṭ roots. This is because their laryngeals blocked Brugmann’s Law in Proto-Indo-Iranian: whereas *°oC.H-o- led to
34
MARTIN JOACHIM KÜMMEL
*ăC(H)-a- ◡ ×, in aniṭ roots *°o.C-o- the o stood in an open
syllable and was lengthened, leading to *°āC-a- – ×, see, e.g.,
seṭ svará-; gáya-, jána-, ráṇa-, vára-, háva- vs. aniṭ ghāsá-,
tyāgá-, vāká-, vāsá-; ḿna-, ś́ka-.
3. Compounds with prefixes like úd or duṣ- will only appear in
the material when the root begins with a vowel where, normally, a laryngeal has been lost.
These facts additionally increase the statistical preponderance of seṭ roots in our material, as these cases were quite frequent in Indo-Iranian word formation.
2.3.3. So we must use the ‘unbiased’ formation types to compare
seṭ and aniṭ roots. These would be vocalic suffixes after a zero or
an e-grade root, and looking at these we arrive at the following
relation between seṭ and aniṭ cases (percentage of BIL in brackets):
1. For s-stem nouns and adjectives, the seṭ cases ávas- (19.4)
and śávas- (19.5) together with derived yávasa- (41.2) are
clearly on top, but otherwise there is no difference in frequency: aniṭ apás- (8), vácas- (7.4) ≈ seṭ tavás- (6.4).
2. Non-o-grade thematic nouns (including derived ī-stems) and
adjectives are not a very common type, so we should not be
surprised that there is no relevant evidence.
3. As to thematic verb forms, we can see that seṭ and aniṭ roots
show nearly the same figures in trisyllabic forms, and disyllabic forms are attested in only three single aniṭ cases!
However, the thematic suffix (at least in the subjunctive) has
been reconstructed as *-h1o/e- (Tichy 2002: 202–204; 2004:
101–102).
4. i/u-stems, trisyllabic: the scarce evidence for trisyllabic forms
shows no difference, see bhŕ̥gu- (aniṭ, 13) vs. hári- (seṭ, 11.9);
as to disyllabic śáru- (seṭ?, 25) and sákhi- (seṭ, 4), both might
have o-grade and thus are not really ‘unbiased’.
Laryngeal Traces without Laryngeals in Vedic Metre
35
5. We find only two root nouns, both aniṭ ap- (trisyllabic 0.6,
disyllabic 6.2) and nar- (2.5).
6. When we come to other vocalic suffixes, the most frequent is
-iya-, where we find an apparent difference in háviya- (seṭ,
20.5) vs. gúhiya- (aniṭ, 6.3), but -así yà- (aniṭ, 25) is as frequent as háviya-. Other suffixes are rarely found, we have
-u(-)ṣá- in an unclear case (aruṣá-/áruṣī) and a probable aniṭ
case in udára- (66.7); with -aná-/-anā̆- we meet śaraṇá- (seṭ,
12.5%) vs. four single aniṭ cases; otherwise there is no relevant evidence.
What remains are some cases that begin with a prefix rather
than a root:
7. The negative prefix *ń̥- > *á- is frequently measured long like
that in ajára- (aniṭ, 30.8), amŕ̥ta- (3.9) and 5 other single
cases (aniṭ); as a seṭ case we can only adduce áditi- (5.5).
8. The homophonous verbal augment á- seems to show long
scansion in 5 single forms, the roots of which never begin
with *CH° (or, *HC°).
2.4. If we summarize the ‘unbiased’ types, we find positive examples with a clearly high frequency of brevis in longo in four words
containing v and two compounds of i, yávasa-, ávas-, śávas-;
háviya-, údit°, duritá-; on the other hand we also find examples
of aniṭ roots with a similarly high frequency: udára-, ajára-,
yáśas- (?), bhŕ̥gu-, and -asíya-; and we have to note that some seṭ
words like prathamá-, harít-/hárita-, páyas- are negative examples. When we look at the ‘biased’ types, we find a similar quantity of good examples, e.g., átithi-, sánitar- and (disyllabic) jánain the plural, rátha-/rath́-, sákhi- – but as many counterexamples without heavy scansions: avitár-, jánitár-, kaví-, háva- or
jána- in the singular.
36
MARTIN JOACHIM KÜMMEL
3. CONCLUSION
There is no clear correlation of frequency for *°aCHV° as against
*°aCV°, when we consider the overall frequency of seṭ root derivatives and their specific syllable structure. Clear cases of frequent irregularity are attested in both cases, and when counted
by word, there is no difference at all. When counted by instance,
the frequency of two words, ávas- and śávas-, leads to a slight
preponderance of seṭ instances. This slight dominance of the type
ávas- might be a residue of a more original distribution, but the
figures do not prove that.
The evidence for the case of originally interconsonantal
laryngeals *°aCHC° > *°aCHьC° is even slimmer – in spite of
their overrepresentation within all words with two successive
short syllables. Even the most frequent case of this type, namely átithi-, is clearly less frequent than aniṭ cases like ajára-,
namasíya-. As for most other cases, for instance, the often cited
scansion duhit́ = ᴖ ◡ – is too rare (and possibly rather late) to
have any significance for the reconstruction of this kind of structure.
What is most clear, however, is that there is no heuristic
benefit for the judgement of unclear cases: if a word shows a high
percentage of Vedic brevis in longo scansions, it may contain an
old laryngeal, or it may not. If it does not show the phenomenon,
we still have both possibilities.
It cannot be excluded that the whole phenomenon of this
licence in Vedic metre could be explained as a residue older than
the loss of laryngeals. But it is only the licence itself, not its distribution in the RV, that can have such an explanation.
REFERENCES
ARNOLD, E. Vernon 1905. Vedic Metre in its Historical Development.
Cambridge: Cambridge University Press.
GIPPERT, Jost 1997. Laryngeals and Vedic metre. In: Alexander
Lubotsky (ed.), Sound Law and Analogy. Papers in Honor of
Laryngeal Traces without Laryngeals in Vedic Metre
37
Robert S. P. Beekes on the Occasion of His 60th Birthday: 63–
79. Amsterdam: Rodopi.
———
1999. Neue Wege zur sprachwissenschaftlichen Analyse der
vedischen Metrik. In: Heiner Eichner & Hans Christian
Luschützky (eds.), Compositiones indogermanicae in memoriam Jochem Schindler: 97–125. Prague: Enigma corporation.
KORN, Agnes 1998. Metrik und metrische Techniken im Ṛgveda. Streckformen in Trimeter-Versen. Graz: Leykam.
KURYŁOWICZ, Jerzy. 1927. Les effets du ə en indoiranien. Prace Filologiczne 11: 201–243.
———
1928. Quelques problèmes métriques du Rigvéda. Rocznik
Orientalistyczny 4 (1926): 196-218.
KÜMMEL, Martin Joachim 2000. Das Perfekt im Indoiranischen. Eine
Untersuchung der Form und Funktion einer ererbten Kategorie des Verbums und ihrer Weiterentwicklung in den altindoiranischen Sprachen. Wiesbaden: Dr. Ludwig Reichert.
MCCARTHY, John. J. & Alan PRINCE 2001. Prosodic Morphology. Constraint Interaction and Satisfaction. Rutgers Optimality Archive: http://roa.rutgers.edu/view.php3?roa=482 Rutgers University, New Jersey. (Originally circulated in April 1993 and
available as Technical Report no. 3 of the Rutgers University
Center for Cognitive Science).
LUBOTSKY, Alexander M. 1997. A Ṛgvedic Word Concordance, I–II. New
Haven, Connecticut: American Oriental Society.
NOOTEN, Barend A. van & Gary B. Holland (eds.) 1994. Rig Veda –
metrically restored text with an introduction and notes. Cambridge, Mass.: Harvard University Press.
OLDENBERG, Hermann 1888. Die Hymnen des Ṛigveda, I: Metrische und
textgeschichtliche Prolegomena. Berlin: Verlag von Wilhelm
Hertz.
TICHY, Eva 2002. Zur Funktion und Vorgeschichte der indogermanischen Modi. In: Heinrich Hettrich (ed.), Indogermanische Syntax – Fragen und Perspektiven: 189–206. Wiesbaden: Reichert.
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sprachwissenschaftlicher Disziplinen. 2., überarbeitete Auflage. Bremen: Hempen.
38
MARTIN JOACHIM KÜMMEL
APPENDIX: Material
Metrical behaviour of words with potential brevis in longo (‘BIL’)
scansion in the cadence
Symbols used in the first column:
+
postconsonantal laryngeal assured
–
postconsonantal laryngeal excluded
!
postconsonantal vocalized laryngeal
()
an alternative explanation for ‘BIL’ may be available
*VCH
–
Stem(s)
Total
‘BIL’
Periods
Frequency
A
S
N
Maṇḍalas
C
P
1
2
3
4
5
6
7
8
9 10
udára-
6
4
66.7%
1
3
-
-
-
2
-
-
-
-
-
-
2
-
-
+!?
(-)*nayi-tár-
6
4
66.7%
4
-
-
-
-
-
-
-
-
3
-
-
1
-
-
(+)?
á-ra-r-uṣ-
8
4
50.0%
-
2
2
-
-
2
-
-
-
-
-
1
-
1
-
+?
yáv-asa-
17
6
41.2%
5
1
-
-
-
1
-
-
-
3
1
-
-
-
1
–
a-jára-
65
20(8)
36.9%
16
1
-
3
-
7
-
-
-
2
5
-
4
-
2
+?
táru-tár-
6
2
33.3%
1
1
-
1
-
-
-
-
-
-
1
-
-
–?
-yaśas-
12
4
33.3%
4
-
-
-
-
1
-
-
-
1
-
-
1
1
-
+
úd-i-ta- + úd-i-ti-
21
6
28.6%
2
4
-
-
-
-
-
-
-
-
-
3
3
-
-
–
-as-íyà-
20
5(2)
25.0%
2
-
3
-
-
-
2
1
-
1
-
-
1
-
-
+
háv-iya-
32
8(3)
25.0%
7
1
-
-
-
-
-
-
-
1
-
1
6
-
-
+
áv-as-
165
33(8)
20.0%
21
7
5
-
-
7
-
1
-
5
3
- 15 2
-
+
(-)śáv-as-
113
22(1)
19.5%
17
3
1
-
-
4
-
2
-
5
2
1
-
2
(–)
6
21
4
19.0%
1
2
-
1
-
1
-
-
-
1
1
-
-
-
1
ap-ám
17
3(1)
17.6%
2
1
-
-
-
1
-
-
-
-
-
-
1
1
-
+
sáni-tar-/sáni-ti-
24
4
16.7%
2
1
1
-
-
2
-
-
-
1
-
-
1
-
-
+
dur-itá-
37
6
16.2%
4
1
1
-
-
-
-
-
-
1
-
1
-
-
4
39
gr̥há-pati-
–
Laryngeal Traces without Laryngeals in Vedic Metre
Light antepaenultima before light paenultima in the RV (in brackets: trimeter verse)
40
+!
rath-íy-
33
5
15.2%
3
1
1
-
-
-
-
-
-
-
-
1
3
1
-
+!
áti-thi-
43
6
14.0%
8
-
-
-
-
-
-
-
-
1
2
-
3
-
-
–?
bhr̥g
́ -u-
23
3(2)
13.0%
3
-
-
-
-
2
-
-
-
-
-
-
-
1
-
+?
śar-aṇá-
16
2
12.5%
1
-
1
-
-
-
-
-
-
-
1
-
1
-
-
–
abhí-tas
25
3
12.0%
1
-
1
1
-
1
-
-
-
-
-
-
-
1
1
+
vidh-at-
25
3
12.0%
3
-
-
-
-
-
-
-
-
1
-
-
2
-
-
+!
távi-ṣī-
25
3(2)
12.0%
3
-
-
-
-
2
-
-
-
-
-
-
1
-
-
+
hár-i-
59
7(1)
11.9%
1
3
3
-
-
1
-
1
1
-
-
-
2
2
-
aruṣá- + áruṣī
57
5
8.8%
2
-
3
-
-
2
-
1
-
-
-
-
2
-
-
sakh-iyá-
57
5(1)
8.8%
5
-
-
-
-
-
-
-
-
1
1
-
2
-
1
–
ap-ás-
25
2(1)
8.0%
1
-
-
1
-
1
-
1
-
-
-
-
-
-
-
+!
savi-t́r-
144
11(1)
7.6%
5
3
1
-
1
2
-
-
-
4
-
-
-
2
3
–
(-)vác-as-
27
2(1)
7.4%
1
1
-
-
-
1
-
-
-
-
-
-
1
-
-
+
(-)táv-as-, tav-ás-
49
3(1)
6.1%
1
-
1
1
-
1
-
-
-
-
-
1
-
1
-
+
á-di-ti-
165
9(2)
5.5%
7
2
-
-
-
-
-
-
-
-
-
1
7
-
1
–
mán-as-
147
7
4.8%
6
-
-
-
1
-
-
-
-
-
-
-
7
-
-
?
hav-íṣ-
72
3
4.2%
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
+
hár-i-vant-
49
2
4.1%
1
-
1
-
-
1
-
-
-
-
-
-
1
-
-
+!
duhi-tár-
54
2
3.7%
-
1
1
-
-
-
-
-
1
-
-
-
-
1
-
MARTIN JOACHIM KÜMMEL
?
+!
váruṇa-
287
13
3.5%
8
2
2
1
-
1
1
-
-
3
-
2
6
-
-
nám-as-
88
3(2)
3.4%
2
1
-
-
-
-
-
-
-
-
-
1
2
-
-
–
a-mŕ̥ta-
102
3
2.9%
2
-
1
-
-
-
-
-
-
-
-
1
2
-
-
?
marút-
324
7(3)
2.2%
3
3
1
-
-
1
-
-
-
2
-
1
1
2
-
–
uṣ-ás-
205
3(1)
1.5%
-
3
-
-
-
3
-
-
-
-
-
-
-
-
-
–
br̥h-at-
134
2
1.5%
1
-
1
-
-
1
-
-
-
-
-
-
1
-
-
+!
pr̥thi-v́-
241
2
0.8%
1
1
–
-
-
1
-
-
-
1
-
-
-
-
-
(–)
gúh-iya-
16
1
6.3%
-
-
1
-
-
-
-
-
-
-
-
-
1
-
-
(–)
pŕ̥tanā-
18
1
5.6%
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
(+)!
path-í-
29
1
3.4%
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
(+)!
kav-í-
53
1
1.9%
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
+!
avi-tár-
32
0
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
prath-amá-
185
0
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
harít-
27
0
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+!
jánitār-/janit́r-
34
0
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
Verbs:
–
áy-a-te
4
3(2)
75.0%
2
1
-
-
-
3
-
-
-
-
-
-
-
-
-
–
kr̥-ṇáv-a-te
6
2
33.3%
1
-
-
-
1
-
-
-
-
-
1
-
1
-
-
–
vás-a-ti
3
1
33.3%
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
Laryngeal Traces without Laryngeals in Vedic Metre
?
–
41
42
–
rám-a-ti
3
1
33.3%
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
+?
dhám-a-ti
4
1
1 = 25.0%
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
11
2
18.2%
-
2
-
-
-
1
-
-
-
-
-
-
1
-
-
14
2(1)
14.3%
1
-
1
-
-
-
-
-
-
-
-
-
1
-
1
29
4(1)
13.8%
3
1
-
-
-
2
-
-
-
1
-
1
-
-
-
–?
pát-a-
ti
–
sr̥j-á-
+
náy-a-ti
ti
–
yám-a-
8
1
12.5%
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
+
tár-a-ti
10
1
10.0%
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
+
áv-a-ti
64
6
9.4%
4
1
1
-
-
-
-
-
1
2
1
-
2
-
-
ti
sád-a-
13
1
7.7%
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
–
d-áy-a-te
18
1
5.6%
1
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
-
-
+
19
1
5.3%
+
át-a-
ti
1
1
100.0%
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
–
va-náv-a-te
1
1
100.0%
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
dá(-)d-a-
ti
MARTIN JOACHIM KÜMMEL
–
t(i)
*VCH
+?
Stem(s)
Total
‘BIL’
Periods
Maṇḍalas
Frequency
A
S
N
C
P
1 2 3 4 5 6 7 8 9 10
-
-
-
1
-
-
-
-
-
-
-
1
2
25.0%
2
-
99
21
20.2%
14
2
1
3
-
4
1
-
1
1 10 -
-
1
2
–
iṣ(-)i(-)rá-
28
5
17.9%
-
-
3
1
1
-
1
-
-
1
-
-
-
1
2
–
riṣ-
14
2
14.3%
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
?
-(t)ama- (sum)
23
2
1
3
-
4
1
-
1
1 10 -
-
1
2
ján-a- (plural)
13
11
-
2
-
-
2
1
1
1
1
7
-
-
-
-
+
(-)śáv-as-
3
11.7%
8.9
(24.1)%
7.7%
14
+!
197
147
(54)
39
3
-
-
-
-
1
-
-
-
-
1
-
-
-
1
–
ap-
129
8
6.2%
4
-
3
1
-
1
3
1
-
-
2
1
-
-
-
+!
(-)sákh-i-
100
4
4.0%
-
1
3
-
-
-
-
-
2
-
-
1
-
1
-
+!
(-)ráth-a- + (-)rath-́-
392
12
3.1%
7
1
2
2
-
4
1
0
1
2
2
0
0
0
2
–
nár̆
°VC-amá-
161
4
2.5%
3
1
-
-
-
1
1
-
-
1
-
1
-
-
-
?
98
2
2.0%
2
-
-
-
-
1
-
-
-
-
1
-
-
-
-
–
br̥h-at-
134
2
1.5%
-
-
1
1
-
-
-
-
-
-
-
-
-
1
1
57
1
1.8%
-
1
-
-
-
-
-
-
-
-
-
1
-
-
-
116
1
0.9%
1
-
-
-
-
1
-
-
-
-
-
-
-
-
-
(–)
uṣás-
(–)
(-)mán-as-
-
43
śár-u°V̆-tama-
8
?
Laryngeal Traces without Laryngeals in Vedic Metre
Light paenultima syllables in the RV
44
(–)
br̥hán
161
1
0.6%
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
+
hár-i-
82
0
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+!
kav-í-
133
0
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
Verbs:
–
yu-ná-j-a-t(i)
3
1
33.3%
1
-
-
-
-
-
-
-
-
-
1
-
-
-
-
–
t(i)
6
1
16.7%
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
t(i)
17
1
5.9%
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
–
áy-aás-a-
Relevant nominal forms (sum of the above, without single instance cases)
‘BIL’
=
A
S
N
C
P
1
2
3
4
5
6
7
8
9
10
+
2074
186
9.0%
126
32
23
3
2
27
1
5
5
28
18
10
56
10
15
–
1362
85
6.2%
51
11
13
8
2
22
7
3
-
6
9
4
22
6
6
Thematic verb forms in general
Total
‘BIL’
=
A
S
N
C
P
1
2
3
4
5
6
7
8
9
10
+
127
14(1)
11.0%
9
3
2
-
-
3
-
-
1
4
3
1
2
-
-
–
107
18(3)
16.8%
12
3
1
-
2
5
-
-
-
2
4
-
5
-
2
MARTIN JOACHIM KÜMMEL
Total