Zeta (letter)
Encyclopedia
Zeta is the sixth letter of the Greek alphabet
Greek alphabet
The Greek alphabet is the script that has been used to write the Greek language since at least 730 BC . The alphabet in its classical and modern form consists of 24 letters ordered in sequence from alpha to omega...

. In the system of Greek numerals
Greek numerals
Greek numerals are a system of representing numbers using letters of the Greek alphabet. They are also known by the names Ionian numerals, Milesian numerals , Alexandrian numerals, or alphabetic numerals...

, it has a value of 7. It was derived from the Phoenician letter
Phoenician alphabet
The Phoenician alphabet, called by convention the Proto-Canaanite alphabet for inscriptions older than around 1050 BC, was a non-pictographic consonantal alphabet, or abjad. It was used for the writing of Phoenician, a Northern Semitic language, used by the civilization of Phoenicia...

 Zayin
Zayin
Zayin is the seventh letter of many Semitic abjads, including Phoenician , Aramaic , Hebrew , Syriac and Perso-Arabic alphabet...

 
. Letters that arose from zeta include the Roman Z
Z
Z is the twenty-sixth and final letter of the basic modern Latin alphabet.-Name and pronunciation:In most dialects of English, the letter's name is zed , reflecting its derivation from the Greek zeta but in American English, its name is zee , deriving from a late 17th century English dialectal...

 and Cyrillic З (Ze)
Ze (Cyrillic)
Ze is a letter of the Cyrillic alphabet.It commonly represents the voiced alveolar fricative , like the pronunciation of ⟨z⟩ in "zoo".Ze is romanized using the Latin letter ⟨z⟩....

.

Name

Unlike the other Greek letters
Greek alphabet
The Greek alphabet is the script that has been used to write the Greek language since at least 730 BC . The alphabet in its classical and modern form consists of 24 letters ordered in sequence from alpha to omega...

, this letter did not take its name from the Phoenician
Phoenician alphabet
The Phoenician alphabet, called by convention the Proto-Canaanite alphabet for inscriptions older than around 1050 BC, was a non-pictographic consonantal alphabet, or abjad. It was used for the writing of Phoenician, a Northern Semitic language, used by the civilization of Phoenicia...

 letter from which it was derived; it was given a new name on the pattern of beta
Beta (letter)
Beta is the second letter of the Greek alphabet. In Ancient Greek, beta represented the voiced bilabial plosive . In Modern Greek, it represents the voiced labiodental fricative ....

, eta
ETA
ETA , an acronym for Euskadi Ta Askatasuna is an armed Basque nationalist and separatist organization. The group was founded in 1959 and has since evolved from a group promoting traditional Basque culture to a paramilitary group with the goal of gaining independence for the Greater Basque Country...

 and theta
Theta
Theta is the eighth letter of the Greek alphabet, derived from the Phoenician letter Teth...

.

The word zeta is the ancestor of zed (UK
British English
British English, or English , is the broad term used to distinguish the forms of the English language used in the United Kingdom from forms used elsewhere...

) or zee (US
American English
American English is a set of dialects of the English language used mostly in the United States. Approximately two-thirds of the world's native speakers of English live in the United States....

) , the name of the Latin letter Z
Z
Z is the twenty-sixth and final letter of the basic modern Latin alphabet.-Name and pronunciation:In most dialects of English, the letter's name is zed , reflecting its derivation from the Greek zeta but in American English, its name is zee , deriving from a late 17th century English dialectal...

. In other languages (e.g., Italian
Italian language
Italian is a Romance language spoken mainly in Europe: Italy, Switzerland, San Marino, Vatican City, by minorities in Malta, Monaco, Croatia, Slovenia, France, Libya, Eritrea, and Somalia, and by immigrant communities in the Americas and Australia...

 and Icelandic
Icelandic language
Icelandic is a North Germanic language, the main language of Iceland. Its closest relative is Faroese.Icelandic is an Indo-European language belonging to the North Germanic or Nordic branch of the Germanic languages. Historically, it was the westernmost of the Indo-European languages prior to the...

), the name zeta is used to refer to the Roman letter Z as well as the Greek letter.

Uses

Letter

The letter ζ represents the voiced alveolar fricative
Voiced alveolar fricative
The voiced alveolar fricatives are consonantal sounds. The symbol in the International Phonetic Alphabet that represents these sounds depends on whether a sibilant or non-sibilant fricative is being described....

 z in Modern Greek
Modern Greek
Modern Greek refers to the varieties of the Greek language spoken in the modern era. The beginning of the "modern" period of the language is often symbolically assigned to the fall of the Byzantine Empire in 1453, even though that date marks no clear linguistic boundary and many characteristic...

.

The sound represented by zeta in Classical Greek is disputed. See Ancient Greek phonology
Ancient Greek phonology
Ancient Greek phonology is the study of the phonology, or pronunciation, of Ancient Greek. Because of the passage of time, the original pronunciation of Ancient Greek, like that of all ancient languages, can never be known with absolute certainty...

 and Pronunciation of Ancient Greek in teaching
Pronunciation of Ancient Greek in teaching
Ancient Greek has been pronounced in various ways by those studying Ancient Greek literature in various times and places. This article covers those pronunciations; the modern scholarly reconstruction of its ancient pronunciation is covered in Ancient Greek phonology.-Greek world:Among speakers of...

.

Most handbooks agree on attributing to it the pronunciation [zd] (like Mazda), but some scholars believe that it was an affricate [dz] (like Italian
Italian language
Italian is a Romance language spoken mainly in Europe: Italy, Switzerland, San Marino, Vatican City, by minorities in Malta, Monaco, Croatia, Slovenia, France, Libya, Eritrea, and Somalia, and by immigrant communities in the Americas and Australia...

 zero). The modern pronunciation was, in all likelihood, established in the Hellenistic age and may have already been a common practice in Classical Attic; for example, it could count as one or two consonants metrically in Attic drama.

Arguments for [zd]

  1. IE *zd becomes ζ in Greek (e.g. *sísdō > ). Contra: these words are rare and it is therefore more probable that *zd was absorbed by *dz (< *dj, *gj, *j).
  2. Without [sd] there would be an empty space between [sb] and [sɡ] in the Greek sound system , and a voiced affricate [dz] would not have a voiceless correspondent. Contra: a) words with [sb] and [sɡ] are rare; b) there was [sd] in etc.; and c) there was in fact a voiceless correspondent in Archaic Greek ([ts] > Attic, Boeotian , Ionic
    Ionic Greek
    Ionic Greek was a subdialect of the Attic–Ionic dialect group of Ancient Greek .-History:Ionic dialect appears to have spread originally from the Greek mainland across the Aegean at the time of the Dorian invasions, around the 11th Century B.C.By the end of the Greek Dark Ages in the 5th Century...

    , Doric
    Doric Greek
    Doric or Dorian was a dialect of ancient Greek. Its variants were spoken in the southern and eastern Peloponnese, Crete, Rhodes, some islands in the southern Aegean Sea, some cities on the coasts of Asia Minor, Southern Italy, Sicily, Epirus and Macedon. Together with Northwest Greek, it forms the...

     ).
  3. Persian names with zd and z are transcribed with ζ and σ respectively in Classical Greek (e.g. Artavazda = ~ Zara(n)ka- = . Similarly, the Philistine city Ashdod was transcribed as .
  4. Some inscriptions have -ζ- written for a combination -ς + δ- resulting from separate words, e.g. θεοζοτος for θεος δοτος "god-given".
  5. Some Attic
    Attic Greek
    Attic Greek is the prestige dialect of Ancient Greek that was spoken in Attica, which includes Athens. Of the ancient dialects, it is the most similar to later Greek, and is the standard form of the language studied in courses of "Ancient Greek". It is sometimes included in Ionic.- Origin and range...

     inscriptions have -σζ- for -σδ- or -ζ-, which is thought to parallel -σστ- for -στ- and therefore to imply a [zd] pronunciation.
  6. ν disappears before ζ like before σ(σ), στ: e.g. } > , } = } > . Contra: ν may have disappeared before /dz/ if one accepts that it had the allophone [z] in that position like /ts/ had the allophone [s]: cf. Cretan
    Cretan Greek
    Cretan Greek is a dialect of the Greek language, spoken by more than half a million people in Crete and many thousands in the diaspora....

      ~ (Hinge).
  7. Verbs beginning with ζ have in the perfect reduplication like the verbs beginning with στ (e.g. = ). Contra: a) The most prominent example of a verb beginning with στ has in fact < *se- in the perfect reduplication the words with /ts/ > σ(σ) also have : Homer
    Homer
    In the Western classical tradition Homer , is the author of the Iliad and the Odyssey, and is revered as the greatest ancient Greek epic poet. These epics lie at the beginning of the Western canon of literature, and have had an enormous influence on the history of literature.When he lived is...

     , Ion. .
  8. Alcman
    Alcman
    Alcman was an Ancient Greek choral lyric poet from Sparta. He is the earliest representative of the Alexandrinian canon of the nine lyric poets.- Family :...

    , Sappho
    Sappho
    Sappho was an Ancient Greek poet, born on the island of Lesbos. Later Greeks included her in the list of nine lyric poets. Her birth was sometime between 630 and 612 BC, and it is said that she died around 570 BC, but little is known for certain about her life...

    , Alcaeus
    Alcaeus
    Alcaeus may refer to:*Alcaeus , a writer of ten plays of the Old Comedy.*Alcaeus , one of several figures of this name in Greek mythology*12607 Alcaeus - a main belt asteroid...

     and Theocritus
    Theocritus
    Theocritus , the creator of ancient Greek bucolic poetry, flourished in the 3rd century BC.-Life:Little is known of Theocritus beyond what can be inferred from his writings. We must, however, handle these with some caution, since some of the poems commonly attributed to him have little claim to...

     have σδ for Attic-Ionic ζ. Contra: The tradition would not have invented this special digraph for these poets if [zd] was the normal pronunciation in all Greek. Furthermore, this convention is not found in contemporary inscriptions, and the orthography of the manuscripts and papyri is Alexandrine
    Alexandria
    Alexandria is the second-largest city of Egypt, with a population of 4.1 million, extending about along the coast of the Mediterranean Sea in the north central part of the country; it is also the largest city lying directly on the Mediterranean coast. It is Egypt's largest seaport, serving...

     rather than historical. Thus, indicates only a different pronunciation from Hellenistic Greek [z(ː)], i.e. either [zd] or [dz].
  9. The grammarians Dionysius Thrax
    Dionysius Thrax
    Dionysius Thrax was a Hellenistic grammarian and a pupil of Aristarchus of Samothrace. His place of origin was not Thrace as the epithet Thrax denotes, but probably Alexandria...

     and Dionysius of Halicarnassus
    Dionysius of Halicarnassus
    Dionysius of Halicarnassus was a Greek historian and teacher of rhetoric, who flourished during the reign of Caesar Augustus. His literary style was Attistic — imitating Classical Attic Greek in its prime.-Life:...

     class ζ with the "double" letters ψ, ξ and analyse it as σ + δ. Contra: The Roman grammarian Verrius Flaccus
    Verrius Flaccus
    Marcus Verrius Flaccus was a Roman grammarian and teacher who flourished under Augustus and Tiberius.-Life:He was a freedman, and his manumitter has been identified with Verrius Flaccus, an authority on pontifical law; but for chronological reasons the name of Veranius Flaccus, a writer on augury,...

     believed in the opposite sequence, δ + σ (in Velius Longus
    Velius Longus
    Velius Longus , Latin grammarian during the reign of Trajan , author of an extant treatise on orthography . He is mentioned by Macrobius and Servius as a commentator on Virgil....

    , De orthogr. 51).
  10. Some Attic transcriptions of Asia Minor toponyms (βυζζαντειον, αζζειον, etc.) show a -ζζ- for ζ; assuming that Attic
    Attic Greek
    Attic Greek is the prestige dialect of Ancient Greek that was spoken in Attica, which includes Athens. Of the ancient dialects, it is the most similar to later Greek, and is the standard form of the language studied in courses of "Ancient Greek". It is sometimes included in Ionic.- Origin and range...

     value was [zd], it may be an attempt to transcribe a dialectal [dz] pronunciation; the reverse cannot be ruled completely, but a -σδ- transcription would have been more likely in this case. This suggests that different dialects had different pronunciations.

Arguments for [dz]

  1. The Greek inscriptions almost never write ζ in words like or , so there must have been a difference between this sound and the sound of . Contra: a few inscriptions do seem to suggest that ζ was pronounced like σδ; furthermore, all words with written σδ are morphologically transparent, and written σδ may simply be echoing the morphology. (Note, for example, that we write "ads" where the morphology is transparent, and "adze" where it is not, even though the pronunciation is the same.)
  2. It seems improbable that Greek would invent a special symbol for the bisegmental combination [zd], which could be represented by σδ without any problems. /ds/, on the other hand, would have the same sequence of plosive and sibilant as the double letters of the Ionic alphabet ψ /ps/ and ξ /ks/, thereby avoiding a written plosive at the end of a syllable. Contra: the use of a special symbol for [zd] is no more or no less improbable that the use of ψ for [ps] and ξ for [ks], and such use of special letters may be justified by the fact that they are the only double sounds that could appear at a word initial. Furthermore, it is not clear that ζ was pronounced [zd] when it was originally invented. Mycenean Greek had a special symbol to denote some sort of affricate or palatal consonant; ζ may have been invented for this sound, which later developed into [zd]. (For a parallel development, note that original palatal Proto-Slavic
    Proto-Slavic language
    Proto-Slavic is the proto-language from which Slavic languages later emerged. It was spoken before the seventh century AD. As with most other proto-languages, no attested writings have been found; the language has been reconstructed by applying the comparative method to all the attested Slavic...

     /tʲ/ developed into /ʃt/ in Old Church Slavonic
    Old Church Slavonic
    Old Church Slavonic or Old Church Slavic was the first literary Slavic language, first developed by the 9th century Byzantine Greek missionaries Saints Cyril and Methodius who were credited with standardizing the language and using it for translating the Bible and other Ancient Greek...

    .)
  3. Boeotia
    Boeotia
    Boeotia, also spelled Beotia and Bœotia , is one of the regional units of Greece. It is part of the region of Central Greece. It was also a region of ancient Greece. Its capital is Livadeia, the second largest city being Thebes.-Geography:...

    n, Elean
    Elis
    Elis, or Eleia is an ancient district that corresponds with the modern Elis peripheral unit...

    , Laconia
    Laconia
    Laconia , also known as Lacedaemonia, is one of the regional units of Greece. It is part of the region of Peloponnese. It is situated in the southeastern part of the Peloponnese peninsula. Its administrative capital is Sparti...

    n and Cretan δδ are more easily explained as a direct development from *dz than through an intermediary *zd. Contra: a) the sound development dz > dd is improbable (Mendez Dosuna); b) ν has disappeared before ζ > δδ in Laconian (Aristoph., Lys. 171, 990) and Boeotian (Sch. Lond. in Dion. Thrax 493), which suggests that these dialects have had a phase of metathesis
    Metathesis (linguistics)
    Metathesis is the re-arranging of sounds or syllables in a word, or of words in a sentence. Most commonly it refers to the switching of two or more contiguous sounds, known as adjacent metathesis or local metathesis:...

     (Teodorsson).
  4. Greek in South Italy has preserved [dz] until modern times. Contra: a) this may be a later development from [zd] or [z]; b) even if it is derived from an ancient [dz], it may be a dialectal pronunciation.
  5. Vulgar Latin
    Vulgar Latin
    Vulgar Latin is any of the nonstandard forms of Latin from which the Romance languages developed. Because of its nonstandard nature, it had no official orthography. All written works used Classical Latin, with very few exceptions...

     inscriptions use the Greek letter Z for indigenous affricates (e.g. zeta = diaeta), and the Greek ζ is continued by a Romance affricate in the ending > Italian. -eggiare, French -oyer. Contra: whether the prononciation of was [dz], [zd] or [zː], di would probably still have been the closest native Latin sound; furthermore, the inscriptions are centuries later than the time for which [zd] is assumed.

Summary

is attested only in Lesbian
Lesbos Island
Lesbos is a Greek island located in the northeastern Aegean Sea. It has an area of with 320 kilometres of coastline, making it the third largest Greek island. It is separated from Turkey by the narrow Mytilini Strait....

 and Sparta
Sparta
Sparta or Lacedaemon, was a prominent city-state in ancient Greece, situated on the banks of the River Eurotas in Laconia, in south-eastern Peloponnese. It emerged as a political entity around the 10th century BC, when the invading Dorians subjugated the local, non-Dorian population. From c...

n lyric poetry
Lyric poetry
Lyric poetry is a genre of poetry that expresses personal and emotional feelings. In the ancient world, lyric poems were those which were sung to the lyre. Lyric poems do not have to rhyme, and today do not need to be set to music or a beat...

 from the Archaic age
Archaic period in Greece
The Archaic period in Greece was a period of ancient Greek history that followed the Greek Dark Ages. This period saw the rise of the polis and the founding of colonies, as well as the first inklings of classical philosophy, theatre in the form of tragedies performed during Dionysia, and written...

 and in Bucolic poetry from the Hellenistic Age
Hellenistic civilization
Hellenistic civilization represents the zenith of Greek influence in the ancient world from 323 BCE to about 146 BCE...

. Most scholars would take this as an indication that the [zd]-pronunciation existed in the dialects of these authors.
  • The transcriptions from Persian by Xenophon
    Xenophon
    Xenophon , son of Gryllus, of the deme Erchia of Athens, also known as Xenophon of Athens, was a Greek historian, soldier, mercenary, philosopher and a contemporary and admirer of Socrates...

     and testimony by grammarians support the pronunciation [zd] in Classical
    Classical Greece
    Classical Greece was a 200 year period in Greek culture lasting from the 5th through 4th centuries BC. This classical period had a powerful influence on the Roman Empire and greatly influenced the foundation of Western civilizations. Much of modern Western politics, artistic thought, such as...

     Attic
    Attic Greek
    Attic Greek is the prestige dialect of Ancient Greek that was spoken in Attica, which includes Athens. Of the ancient dialects, it is the most similar to later Greek, and is the standard form of the language studied in courses of "Ancient Greek". It is sometimes included in Ionic.- Origin and range...

    . is attested from c. 350 BC in Attic
    Attic Greek
    Attic Greek is the prestige dialect of Ancient Greek that was spoken in Attica, which includes Athens. Of the ancient dialects, it is the most similar to later Greek, and is the standard form of the language studied in courses of "Ancient Greek". It is sometimes included in Ionic.- Origin and range...

     inscriptions, and was the probable value in Koine
    Koine Greek
    Koine Greek is the universal dialect of the Greek language spoken throughout post-Classical antiquity , developing from the Attic dialect, with admixture of elements especially from Ionic....

    . or [dz] may have existed in some other dialects in parallel.

Numeral

Zeta has the numerical value 7 rather than 6 because the letter digamma
Digamma
Digamma is an archaic letter of the Greek alphabet which originally stood for the sound /w/ and later remained in use only as a numeral symbol for the number "6"...

 (also called 'stigma
Stigma (letter)
Stigma is a ligature of the Greek letters sigma and tau , which was used in writing Greek between the middle ages and the 19th century. It is also used as a numeral symbol for the number 6...

' as a Greek numeral) was originally in the sixth position in the alphabet.

Math and science

The lower case letter can be used to represent:
  • The Riemann zeta function in mathematics
    Mathematics
    Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

  • The damping ratio
    Damping ratio
    [[Image:Damped spring.gif|right|frame|Underdamped [[spring–mass system]] with ζ 1 , and is referred to as overdamped.*Underdamped:If s is a complex number, then the solution is a decaying exponential combined with an oscillatory portion that looks like \exp...

     of a spring-system in engineering and physics
  • The effective nuclear charge on an electron in quantum chemistry
  • The electrokinetic potential in colloidal systems
    Colloid
    A colloid is a substance microscopically dispersed evenly throughout another substance.A colloidal system consists of two separate phases: a dispersed phase and a continuous phase . A colloidal system may be solid, liquid, or gaseous.Many familiar substances are colloids, as shown in the chart below...

  • The lag angle in helicopter blade dynamics
  • Relative vorticity in the atmosphere
    Atmosphere
    An atmosphere is a layer of gases that may surround a material body of sufficient mass, and that is held in place by the gravity of the body. An atmosphere may be retained for a longer duration, if the gravity is high and the atmosphere's temperature is low...

     and ocean
    Ocean
    An ocean is a major body of saline water, and a principal component of the hydrosphere. Approximately 71% of the Earth's surface is covered by ocean, a continuous body of water that is customarily divided into several principal oceans and smaller seas.More than half of this area is over 3,000...

  • A number whose discrete values (eigenvalues) are the positive roots of transcendental equations, used in the series solutions for transient one-dimensional conduction equations.
  • The heat flux across or through a plane (Industrial Materials Technology).

Meteorology

  • The name Zeta was a name used in the 2005 Atlantic hurricane season
    2005 Atlantic hurricane season
    The 2005 Atlantic hurricane season was the most active Atlantic hurricane season in recorded history, repeatedly shattering numerous records. The impact of the season was widespread and ruinous with an estimated 3,913 deaths and record damage of about $159.2 billion...

     as the record breaking Tropical Storm Zeta.
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