Eta is the seventh letter of the Greek alphabet. Originally denoting a consonant /h/, its sound value in the classical Attic dialect of Ancient Greek was a long vowel Open-mid front unrounded vowel|, raised to in hellenistic Greek, a process known as iotacism. In the ancient Attic number system, the number 100 was represented by "", because it was the initial of ΗΕΚΑΤΟΝ, the ancient spelling of ἑκατόν = "one hundred". In the latter system of Greek numerals it has a value of 8. Eta was derived from the Phoenician letterheth. Letters that arose from eta include the Latin H and the Cyrillic letter И.
History
Consonant h
The letter shape 'H' was originally used in most Greek dialects to represent the sound /h/, a voiceless glottal fricative. In this function, it was borrowed in the 8th century BC by the Etruscan and other Old Italic alphabets, which were based on the Euboean form of the Greek alphabet. This also gave rise to the Latin alphabet with its letter H. Other regional variants of the Greek alphabet, in dialects that still preserved the sound /h/, employed various glyph shapes for consonantal hetaside by side with the new vocalic eta for some time. In the southern Italian colonies of Heracleia and Tarentum, the letter shape was reduced to a "half-heta" lacking the right vertical stem. From this sign later developed the sign for rough breathing or spiritus asper, which brought back the marking of the /h/ sound into the standardized post-classical orthography. Dionysius Thrax in the second century BC records that the letter name was still pronounced heta, correctly explaining this irregularity by stating "in the old days the letter Η served to stand for the rough breathing, as it still does with the Romans."
Long e
In the East Ionic dialect, however, the sound /h/ disappeared by the sixth century BC, and the letter was re-used initially to represent a development of a long vowel, which later merged in East Ionic with instead. In 403 BC, Athens took over the Ionian spelling system and with it the vocalic use of H. This later became the standard orthography in all of Greece.
Itacism
During the time of post-classical Koiné Greek, the sound represented by eta was raised and merged with several other formerly distinct vowels, a phenomenon called iotacism or itacism, after the new pronunciation of the letter name as ita instead of eta. Itacism is continued into Modern Greek, where the letter name is pronounced and represents the sound /i/. It shares this function with several other letters and digraphs, which are all pronounced alike. This phenomenon at large is called iotacism.
Chemistry, the hapticity, or the number of atoms of a ligand attached to one coordination site of the metal in a coordination compound. For example, an allyl group can coordinate to palladium in the η¹ mode or the η³ mode.
Statistics, η2 is the "partial regression coefficient". η is the symbol for the linear predictor of a generalized linear model, and can also be used to denote the median of a population, or thresholding parameter in Sparse Partial Least Squares regression.
Electronics, η stands for the ideality factor of a bipolar transistor, and has a value close to 1.000. It appears in contexts where the transistor is used as a temperature sensing device, e.g. the thermal "diode" transistor that is embedded within a computer's microprocessor.
Power electronics, η stands for the efficiency of a power supply, defined as the output power divided by the input power.
Oceanography, η is the measurement of sea-level height above or below the mean sea-level at that same location.
Character encodings
Greek Eta, Coptic Hate
Mathematical Eta
These characters are used only as mathematical symbols. Stylized Greek text should be encoded using the normal Greek letters, with markup and formatting to indicate text style.