The Germanic umlaut (sometimes called i-umlaut or i-mutation) is a type of linguistic umlaut in which a back vowel changes to the associated front vowel (fronting) or a front vowel becomes closer to /i/ (raising) when the following syllable contains /i/, /iː/, or /j/. 
 It took place separately in various Germanic languages starting around AD 450 or 500 and affected all of the early languages except Gothic. An example of the resulting vowel alternation is the English plural foot ~ feet (from Proto-Germanic *fōts, pl. *fōtiz). Germanic umlaut, as covered in this article, does not include other historical vowel phenomena that operated in the history of the Germanic languages such as Germanic a-mutation and the various language-specific processes of u-mutation, nor the earlier Indo-European ablaut (vowel gradation), which is observable in the conjugation of Germanic strong verbs such as sing/sang/sung.
 While Germanic umlaut has had important consequences for all modern Germanic languages, its effects are particularly apparent in German, because vowels resulting from umlaut are generally spelled with a specific set of letters: ⟨ä⟩, ⟨ö⟩, and ⟨ü⟩, usually pronounced /ɛ/ (formerly /æ/), /ø/, and /y/. Umlaut is a form of assimilation or vowel harmony, the process by which one speech sound is altered to make it more like another adjacent sound. If a word has two vowels with one far back in the mouth and the other far forward, more effort is required to pronounce the word than if the vowels were closer together; therefore, one possible linguistic development is for these two vowels to be drawn closer together.
 Germanic umlaut is a specific historical example of this process that took place in the unattested earliest stages of Old English and Old Norse and apparently later in Old High German, and some other old Germanic languages. The precise developments varied from one language to another, but the general trend was this:
 The fronted variant caused by umlaut was originally allophonic (a variant sound automatically predictable from context), but it later became phonemic when the context was lost but the variant sound remained. The following examples show how, when final -i was lost, the variant sound -ȳ- became a new phoneme in Old English:
 The following table surveys how Proto-Germanic vowels which later underwent i-umlaut generally appear in modern languages — though there are many exceptions to these patterns owing to other sound-changes and chance variations. The table gives two West Germanic examples (English and German) and two North Germanic examples (Swedish, from the east, and Icelandic, from the west). Spellings are marked by pointy brackets (⟨...⟩) and pronunciation, given in the international phonetic alphabet, in slashes (/.../).
 (*obisu > eaves)
 (*oli > Öl)
 (*hnotiz > nötter)
 (*komiz > kemur)
 Whereas modern English does not have any special letters for vowels produced by i-umlaut, in German the letters ⟨ä⟩, ⟨ö⟩, and ⟨ü⟩ almost always represent umlauted vowels (see further below). Likewise, in Swedish ⟨ä⟩, ⟨ö⟩, and ⟨y⟩ and Icelandic ⟨æ⟩, ⟨y⟩, ⟨ý⟩, and ⟨ey⟩ are almost always used of vowels produced by i-umlaut. However, German ⟨eu⟩ represents vowels from multiple sources, which is also the case for ⟨e⟩ in Swedish and Icelandic.
 German orthography is generally consistent in its representation of i-umlaut. The umlaut diacritic, consisting of two dots above the vowel, is used for the fronted vowels, making the historical process much more visible in the modern language than is the case in English: ⟨a⟩ – ⟨ä⟩, ⟨o⟩ – ⟨ö⟩, ⟨u⟩ – ⟨ü⟩, ⟨au⟩ – ⟨äu⟩. This is a neat solution when pairs of words with and without umlaut mutation are compared, as in umlauted plurals like Mutter – Mütter ("mother" – "mothers").
 However, in a small number of words, a vowel affected by i-umlaut is not marked with the umlaut diacritic because its origin is not obvious. Either there is no unumlauted equivalent or they are not recognized as a pair because the meanings have drifted apart. The adjective fertig ("ready, finished"; originally "ready to go") contains an umlaut mutation, but it is spelled with ⟨e⟩ rather than ⟨ä⟩ as its relationship to Fahrt ("journey") has, for most speakers of the language, been lost from sight. Likewise, alt ("old") has the comparative älter ("older"), but the noun from this is spelled Eltern ("parents").  Aufwand ("effort") has the verb aufwenden ("to spend, to dedicate") and the adjective aufwendig ("requiring effort") though the 1996 spelling reform now permits the alternative spelling aufwändig (but not *aufwänden). For denken, see below.
 Some words have umlaut diacritics that do not mark a vowel produced by the sound change of umlaut. This includes loanwords such as Känguru from English kangaroo, and Büro from French bureau. Here the diacritic is a purely phonological marker, indicating that the English and French sounds (or at least, the approximation of them used in German) are identical to the native German umlauted sounds. Similarly, Big Mac was originally spelt Big Mäc in German. In borrowings from Latin and Greek, Latin ⟨ae⟩, ⟨oe⟩, or Greek ⟨αι⟩ ai, ⟨οι⟩ oi, are rendered in German as ä and ö respectively (Ägypten, "Egypt", or Ökonomie, "economy"). However, Latin ⟨y⟩ and Greek ⟨υ⟩ are written y in German instead of ü (Psychologie). There are also several non-borrowed words where the vowels ö and ü have not arisen through historical umlaut, but due to rounding of an earlier unrounded front vowel (possibly from the labial/labialized consonants w/f/sch occurring on both sides), such as fünf ("five"; from Middle High German vinf), zwölf ("twelve"; from zwelf), and schöpfen ("create"; from schepfen).
 When German words (names in particular) are written in the basic Latin alphabet, umlauts are usually substituted with ⟨ae⟩, ⟨oe⟩ and ⟨ue⟩ to differentiate them from simple ⟨a⟩, ⟨o⟩, and ⟨u⟩.
 The German phonological umlaut is present in the Old High German period and continues to develop in Middle High German. From the Middle High German, it was sometimes denoted in written German by adding an ⟨e⟩ to the affected vowel, either after the vowel or, in the small form, above it. This can still be seen in some names: Goethe, Goebbels, Staedtler.
 In blackletter handwriting, as used in German manuscripts of the later Middle Ages and also in many printed texts of the early modern period, the superscript ⟨e⟩ still had a form that would now be recognisable as an ⟨e⟩, but in manuscript writing, umlauted vowels could be indicated by two dots since the late medieval period.
 Unusual umlaut designs are sometimes also created for graphic design purposes, such as to fit an umlaut into tightly-spaced lines of text. It may include umlauts placed vertically or inside the body of the letter.
 Although umlaut was not a grammatical process, umlauted vowels often serve to distinguish grammatical forms (and thus show similarities to ablaut when viewed synchronically), as can be seen in the English word man. In ancient Germanic, it and some other words had the plural suffix *-iz, with the same vowel as the singular. As it contained an *i, this suffix caused fronting of the vowel, and when the suffix later disappeared, the mutated vowel remained as the only plural marker: men. In English, such plurals are rare: man, woman, tooth, goose, foot, mouse, louse, brother (archaic or specialized plural in brethren), and cow (poetic and dialectal plural in kine). It also can be found in a few fossilized diminutive forms, such as kitten from cat and kernel from corn, and the feminine vixen from fox. Umlaut is conspicuous when it occurs in one of such a pair of forms, but there are many mutated words without an unmutated parallel form. Germanic actively derived causative weak verbs from ordinary strong verbs by applying a suffix, which later caused umlaut, to a past tense form. Some of these survived into modern English as doublets of verbs, including fell and set vs. fall and sit. Umlaut could occur in borrowings as well if stressed vowel was coloured by a subsequent front vowel, such as German Köln, "Cologne", from Latin Colonia, or Käse, "cheese", from Latin caseus.
 Some interesting examples of umlaut involve vowel distinctions in Germanic verbs. Although these are often subsumed under the heading "ablaut" in tables of Germanic irregular verbs, they are a separate phenomenon. 
 A variety of umlaut occurs in the second and third person singular forms of the present tense of some Germanic strong verbs. For example, German fangen ("to catch") has the present tense ich fange, du fängst, er fängt. The verb geben ("give") has the present tense ich gebe, du gibst, er gibt, but the shift e→i would not be a normal result of umlaut in German. There are, in fact, two distinct phenomena at play here; the first is indeed umlaut as it is best known, but the second is older and occurred already in Proto-Germanic itself. In both cases, a following *i triggered a vowel change, but in Proto-Germanic, it affected only *e. The effect on back vowels did not occur until hundreds of years later, after the Germanic languages had already begun to split up: *fą̄haną, *fą̄hidi with no umlaut of *a, but *gebaną, *gibidi with umlaut of *e.
 The German word Rückumlaut ("reverse umlaut"), sometimes known in English as "unmutation", is a term given to the vowel distinction between present and preterite forms of certain Germanic weak verbs. These verbs exhibit the dental suffix used to form the preterite of weak verbs, and also exhibit what appears to be the vowel gradation characteristic of strong verbs. Examples in English are think/thought, bring/brought, tell/told, sell/sold. The phenomenon can also be observed in some German verbs including brennen/brannte ("burn/burnt"), kennen/kannte ("know/knew"), and a handful of others. In some dialects, particularly of western Germany, the phenomenon is preserved in many more forms (for example Luxembourgish stellen/gestallt, "to put", and Limburgish tèlle/talj/getaldj, "to tell, count"). The cause lies with the insertion of the semivowel /j/ between the verb stem and inflectional ending. This /j/ triggers umlaut, as explained above. In short stem verbs, the /j/ is present in both the present and preterite. In long stem verbs however, the /j/ fell out of the preterite. Thus, while short stem verbs exhibit umlaut in all tenses, long stem verbs only do so in the present. When the German philologist Jacob Grimm first attempted to explain the phenomenon, he assumed that the lack of umlaut in the preterite resulted from the reversal of umlaut. In actuality, umlaut never occurred in the first place. Nevertheless, the term "Rückumlaut" makes some sense since the verb exhibits a shift from an umlauted vowel in the basic form (the infinitive) to a plain vowel in the respective inflections.
 In German, some verbs which display a back vowel in the past tense undergo umlaut in the subjunctive mood: singen/sang (ind.) → sänge (subj.) ("sing/sang"); fechten/focht (ind.) → föchte (subj.) ("fence/fenced"). Again, this is due to the presence of a following i in the verb endings in the Old High German period.
 Although umlaut operated the same way in all the West Germanic languages, the exact words in which it took place and the outcomes of the process differ between the languages. Of particular note is the loss of word-final *-i after heavy syllables. In the more southern languages (Old High German, Old Dutch, Old Saxon), forms that lost *-i often show no umlaut, but in the more northern languages (Old English, Old Frisian), the forms do. Compare Old English ġiest "guest", which shows umlaut, and Old High German gast, which does not, both from Proto-Germanic *gastiz. That may mean that there was dialectal variation in the timing and spread of the two changes, with final loss happening before umlaut in the south but after it in the north. On the other hand, umlaut may have still been partly allophonic, and the loss of the conditioning sound may have triggered an "un-umlauting" of the preceding vowel. Nevertheless, medial *-ij- consistently triggers umlaut although its subsequent loss is universal in West Germanic except for Old Saxon and early Old High German.
 I-mutation generally affected Old English vowels as follows in each of the main dialects. It led to the introduction into Old English of the new sounds /y(ː)/, /ø(ː)/ (which, in most varieties, soon turned into /e(ː)/), and a sound written in Early West Saxon manuscripts as ⟨ie⟩ but whose phonetic value is debated.
 I-mutation is particularly visible in the inflectional and derivational morphology of Old English since it affected so many of the Old English vowels. Of 16 basic vowels and diphthongs in Old English, only the four vowels ǣ, ē, i, ī were unaffected by i-mutation. Although i-mutation was originally triggered by an /i(ː)/ or /j/ in the syllable following the affected vowel, by the time of the surviving Old English texts, the /i(ː)/ or /j/ had generally changed (usually to /e/) or been lost entirely, with the result that i-mutation generally appears as a morphological process that affects a certain (seemingly arbitrary) set of forms. These are most common forms affected:
 A few hundred years after i-umlaut began, another similar change called double umlaut occurred. It was triggered by an /i/ or /j/ in the third or fourth syllable of a word and mutated all previous vowels but worked only when the vowel directly preceding the /i/ or /j/ was /u/. This /u/ typically appears as ⟨e⟩ in Old English or is deleted:
 As shown by the examples, affected words typically had /u/ in the second syllable and /a/ in the first syllable. The /æ/ developed too late to break to ea or to trigger palatalization of a preceding velar.
 I-mutation is visible in Old High German (OHG), c. 800 AD, only on short /a/, which was mutated to /e/ (the so-called "primary umlaut"), although in certain phonological environments the mutation fails to occur. By then, it had already become partly phonologized, since some of the conditioning /i/ and /j/ sounds had been deleted or modified. The later history of German, however, shows that /o/ and /u/, as well as long vowels and diphthongs, and the remaining instances of /a/ that had not been umlauted already, were also affected (the so-called "secondary umlaut"); starting in Middle High German, the remaining conditioning environments disappear and /o/ and /u/ appear as /ø/ and /y/ in the appropriate environments.
 That has led to a controversy over when and how i-mutation appeared on these vowels. Some (for example, Herbert Penzl) have suggested that the vowels must have been modified without being indicated for lack of proper symbols and/or because the difference was still partly allophonic. Others (such as Joseph Voyles) have suggested that the i-mutation of /o/ and /u/ was entirely analogical and pointed to the lack of i-mutation of these vowels in certain places where it would be expected, in contrast to the consistent mutation of /a/. Perhaps[original research?] the answer is somewhere in between — i-mutation of /o/ and /u/ was indeed phonetic, occurring late in OHG, but later spread analogically to the environments where the conditioning had already disappeared by OHG (this is where failure of i-mutation is most likely).[citation needed] It must also be kept in mind that it is an issue of relative chronology: already early in the history of attested OHG, some umlauting factors are known to have disappeared (such as word-internal /j/ after geminates and clusters), and depending on the age of OHG umlaut, that could explain some cases where expected umlaut is missing. The whole question should now be reconsidered in the light of Fausto Cercignani's suggestion that the Old High German umlaut phenomena produced phonemic changes before the factors that triggered them off changed or disappeared, because the umlaut allophones gradually shifted to such a degree that they became distinctive in the phonological system of the language and contrastive at a lexical level.
 However, sporadic place-name attestations demonstrate the presence of the secondary umlaut already for the early 9th century, which makes it likely that all types of umlaut were indeed already present in Old High German, even if they were not indicated in the spelling. Presumably, they arose already in the early 8th century. Ottar Grønvik, also in view of spellings of the type ⟨ei⟩, ⟨ui⟩, and ⟨oi⟩ in the early attestations, affirms the old epenthesis theory, which views the origin of the umlaut vowels in the insertion of /j/ after back vowels, not only in West, but also in North Germanic. Fausto Cercignani prefers the assimilation theory and presents a history of the OHG umlauted vowels up to the present day.
 In modern German, umlaut as a marker of the plural of nouns is a regular feature of the language, and although umlaut generally is no longer a productive force in German, new plurals of this type can be created by analogy. Likewise, umlaut marks the comparative of many adjectives and other kinds of inflected and derived forms. Borrowed words have acquired umlaut as in Chöre 'choirs' or europäisch 'European'. Umlaut seems to be totally productive in connection with diminutive suffix -chen, as in Skandäl-chen 'little scandal'. 
 Because of the grammatical importance of such pairs, the German umlaut diacritic was developed, making the phenomenon very visible. The result in German is that the vowels written as ⟨a⟩, ⟨o⟩, and ⟨u⟩ become ⟨ä⟩, ⟨ö⟩, and ⟨ü⟩, and the diphthong ⟨au⟩ /aʊ/ becomes ⟨äu⟩ /ɔʏ/: Mann  "man" vs. Männer  "men", Fuß  "foot" vs. Füße  "feet", Maus  "mouse" vs. Mäuse  "mice".
 In various dialects, the umlaut became even more important as a morphological marker of the plural after the apocope of final schwa (-e); that rounded front vowels have become unrounded in many dialects does not prevent them from serving as markers of the plural given that they remain distinct from their non-umlauted counterparts (just like in English foot – feet, mouse – mice). The example Gast "guest" vs. Gäst(e) "guests" served as the model for analogical pairs like Tag "day" vs. Täg(e) "days" (vs. standard Tage) and Arm "arm" vs. Ärm(e) "arms" (vs. standard Arme). Even plural forms like Fisch(e) "fish" which had never had a front rounded vowel in the first place were interpreted as such (i.e., as if from Middle High German **füsche) and led to singular forms like Fusch  that are attested in some dialects.
 In Old Saxon, umlaut is much less apparent than in Old Norse. The only vowel that is regularly fronted before an /i/ or /j/ is short /a/: gast – gesti, slahan – slehis. It must have had a greater effect than the orthography shows since all later dialects have a regular umlaut of both long and short vowels.
 Late Old Dutch saw a merger of /u/ and /o/, causing their umlauted results to merge as well, giving /ʏ/. The lengthening in open syllables in early Middle Dutch then lengthened and lowered this short /ʏ/ to long /øː/ (spelled ⟨eu⟩) in some words. This is parallel to the lowering of /i/ in open syllables to /eː/, as in schip ("ship") – schepen ("ships").
 In general, the effects of the Germanic umlaut in plural formation are limited. One of the defining phonological features of Dutch, is the general absence of the I-mutation or secondary umlaut when dealing with long vowels. Unlike English and German, Dutch does not palatalize the long vowels, which are notably absent from the language. Thus, for example, where modern German has fühlen /ˈfyːlən/ and English has feel /fiːl/ (from Proto-Germanic *fōlijaną), standard Dutch retains a back vowel in the stem in voelen /ˈvulə(n)/. Thus, only two of the original Germanic vowels were affected by umlaut at all in Dutch: /a/, which became /ɛ/, and /u/, which became /ʏ/ (spelled ⟨u⟩). As a result of this relatively sparse occurrence of umlaut, standard Dutch does not use umlaut as a grammatical marker. An exception is the noun stad "city" which has the irregular umlauted plural steden.
 Later developments in Middle Dutch show that long vowels and diphthongs were not affected by umlaut in the more western dialects, including those in western Brabant and Holland that were most influential for standard Dutch. However in what is traditionally called the Cologne Expansion (the spread of certain West German features in the south-easternmost Dutch dialects during the High Medieval period) the more eastern and southeastern dialects of Dutch, including easternmost Brabantian and all of Limburgish have umlaut of long vowels (or in case of Limburgish, all rounded back vowels), however. Consequently, these dialects also make grammatical use of umlaut to form plurals and diminutives, much as most other modern Germanic languages do. Compare vulen /vylə(n)/ and menneke "little man" from man.
 The situation in Old Norse is complicated as there are two forms of i-mutation. Of these two, only one is phonologized.[clarification needed] I-mutation in Old Norse is phonological:
 I-mutation is not phonological if the vowel of a long syllable is i-mutated by a syncopated i. I-mutation does not occur in short syllables.