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Cardinal direction

From Wikipedia, the free encyclopedia
(Redirected fromOrdinal direction)
Directions of north, south, east and west
"Cardinal point" redirects here. For other uses, seeCardinal point (disambiguation).

Acompass rose showing the four cardinal directions, the four intercardinal directions, and eight more divisions.

The fourcardinal directions, orcardinal points, are the four maincompass directions:north,south,east, andwest, commonly denoted by their initials N, S, E, and W respectively. Relative to north, the directions east, south, and west are at 90 degree intervals in theclockwise direction.

Theordinal directions (also called theintercardinal directions) are northeast (NE), southeast (SE), southwest (SW), and northwest (NW). The intermediate direction of every set of intercardinal and cardinal direction is called a secondary intercardinal direction. These eight shortest points in thecompass rose shown to the right are:

  1. West-northwest (WNW)
  2. North-northwest (NNW)
  3. North-northeast (NNE)
  4. East-northeast (ENE)
  5. East-southeast (ESE)
  6. South-southeast (SSE)
  7. South-southwest (SSW)
  8. West-southwest (WSW)

Points between the cardinal directions form thepoints of the compass. Arbitraryhorizontal directions may be indicated by theirazimuth angle value.

Determination

[edit]
This section is an excerpt fromDirection determination.[edit]
Direction determination refers to the ways in which a cardinal direction or compass point can be determined innavigation andwayfinding. The most direct method is using acompass (magnetic compass orgyrocompass), but indirect methods exist, based on theSun path (unaided or by using a watch orsundial), the stars, andsatellite navigation.[1]

Additional points

[edit]
Absolute
bearing
Cardinal
direction
Intercardinal
direction
Secondary
intercardinal
direction
Tertiary
intercardinal
direction
North
11¼° NbE
22½°NNE
33¾°NEbN
45°NE
56¼°NEbE
67½°ENE
78¾° EbN
90°East
101¼° EbS
112½°ESE
123¾°SEbE
135°SE
146¼°SEbS
157½°SSE
168¾° SbE
180°South

191¼° SbW
202½°SSW
213¾°SWbS
225°SW
236¼°SWbW
247½°WSW
258¾° WbS
270°West
281¼° WbN
292½°WNW
303¾°NWbW
315°NW
326¼°NWbN
337½°NNW
348¾° NbW
See also:Points of the compass § Compass points

Azimuth

[edit]
Main article:Azimuth

The directional names are routinely associated withazimuths, theangle of rotation (indegrees) in theunit circle over thehorizontal plane. It is a necessary step fornavigational calculations (derived fromtrigonometry) and for use withGlobal Positioning System (GPS)receivers. The four cardinal directions correspond to the following degrees of a compass:

  • North (N): 0° = 360°
  • East (E): 90°
  • South (S): 180°
  • West (W): 270°

Intercardinal directions

[edit]

The intercardinal (intermediate, or, historically, ordinal[2]) directions are the four intermediate compass directions located halfway between each pair of cardinal directions.

  • Northeast (NE), 45°, halfway between north and east, is the opposite of southwest.
  • Southeast (SE), 135°, halfway between south and east, is the opposite of northwest.
  • Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.
  • Northwest (NW), 315°, halfway between north and west, is the opposite of southeast.

Subintercardinal directions

[edit]

The eight above listed directional names have been further compounded known assecondary intercardinal directions, resulting in a total of 16 named points evenly spaced around the compass. But there exist eventertiary intercardinal directions, resulting in a total of 32 named points evenly spaced around the compass: north (N), north by east (NbE), north-northeast (NNE), northeast by north (NEbN), northeast (NE), northeast by east (NEbE), east-northeast (ENE), east by north (EbN), east (E), etc.

Beyond geography

[edit]

Cardinal directions orcardinal points may sometimes be extended to includevertical position (elevation,altitude,depth):north andsouth,east andwest, up and down; or mathematically the six directions of the x-, y-, and z-axes inthree-dimensionalCartesian coordinates.Topographic maps include elevation, typically viacontour lines.Alternatively,elevation angle may be combined with cardinal direction (or, more generally, arbitrary azimuth angle) to form a localspherical coordinate system.

In astronomy

[edit]

Inastronomy, thecardinal points of anastronomical body as seen in the sky are four points defined by the directions toward which thecelestial poles lie relative to the center of the disk of the object in the sky.[3][4]A line (agreat circle on thecelestial sphere) from the center of the disk to theNorth celestial pole will intersect the edge of the body (the "limb") at the North point. The North point will then be the point on the limb that is closest to the North celestial pole. Similarly, a line from the center to the South celestial pole will define the South point by its intersection with the limb. The points at right angles to the North and South points are the East and West points. Going around the disk clockwise from the North point, one encounters in order the West point, the South point, and then the East point. This is opposite to the order on a terrestrial map because one is looking up instead of down.

Similarly, when describing the location of one astronomical object relative to another, "north" means closer to the North celestial pole, "east" means at a higherright ascension, "south" means closer to the South celestial pole, and "west" means at a lower right ascension. If one is looking at two stars that are below the North Star, for example, the one that is "east" will actually be further to the left.

Germanic origin of names

[edit]

During theMigration Period, theGermanic names for the cardinal directions entered theRomance languages, where they replaced theLatin namesborealis (orseptentrionalis) with north,australis (ormeridionalis) with south,occidentalis with west andorientalis with east. It is possible that some northern people used the Germanic names for the intermediate directions. Medieval Scandinavian orientation would thus have involved a 45 degree rotation of cardinal directions.[5]

  • north (Proto-Germanic*norþ-) from theproto-Indo-European *nórto-s 'submerged' from the root *ner- 'left, below, to the left of the rising sun' whence comes theAncient Greek nameNereus.[6]
  • east (*aus-t-) from the word fordawn. The proto-Indo-European form is *austo-s from the root *aues- 'shine (red)'.[7] SeeĒostre.
  • south (*sunþ-), derived from proto-Indo-European *sú-n-to-s from the root *seu- 'seethe, boil'.[8] Cognate with this root is the wordSun, thus "the region of the Sun".
  • west (*wes-t-) from a word for "evening". The proto-Indo-European form is *uestos from the root *ues- 'shine (red)',[9] itself a form of *aues-.[7] Cognate with the root are theLatin wordsvesper andvesta and theAncient GreekHestia,Hesperus andHesperides.

Cultural variations

[edit]

In many regions of the world, prevalent winds change direction seasonally, and consequently many cultures associate specific namedwinds with cardinal and intercardinal directions. For example,classical Greek culture characterized these winds asAnemoi.

Inpre-modern Europe more generally, between eight and 32points of the compass – cardinal and intercardinal directions – were given names. These often corresponded to the directional winds of theMediterranean Sea (for example, southeast was linked to theSirocco, a wind from the Sahara).

Particularcolors are associated in some traditions with the cardinal points. These are typically "natural colors" of human perception rather than opticalprimary colors.[vague]

Many cultures, especially inAsia, include the center as afifth cardinal point.

Northern Eurasia

[edit]
Northern EurasiaNESWCSource
Slavic[10]
China[11][12][13]
Ainu[14][15]
Turkic[14]
Kalmyks[16]
Tibet[14]

Central Asian,Eastern European andNorth East Asian cultures frequently have traditions associating colors with four or five cardinal points.

Systems with five cardinal points (four directions and the center) include those frompre-modern China, as well as traditionalTurkic,Tibetan andAinu cultures. In Chinese tradition, the five cardinal point system is related toI Ching, theWu Xing and the fivenaked-eye planets. In traditionalChinese astrology, the zodiacal belt is divided into thefour constellation groups corresponding to the directions.

Each direction is often identified with a color, and (at least in China) with amythological creature of that color. Geographical or ethnic terms may contain the name of the color instead of the name of the corresponding direction.[11][12]

Examples

[edit]
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East:Green ( "qīng" corresponds to both green and blue); Spring;Wood

Qingdao (Tsingtao): "Green Island", a city on the east coast of China
Green Ukraine

South:Red; Summer;Fire

Red River (Asia): south of China
Red Ruthenia
Red Jews: a semi-mythological group of Jews[citation needed]
Red Croatia
Red Sea

West:White; Autumn;Metal

White Sheep Turkmen
Akdeniz, meaning 'White Sea':Mediterranean Sea inTurkish
Balts,Baltic words containing the stembalt- ("white")
Belarus, meaning 'White Russia'
White Ruthenia
White Serbia
White Croatia

North:Black; Winter;Water

Heilongjiang: "Black Dragon River" province inNortheast China, also theAmur River
Kara-Khitan Khanate: "Black Khitans" who originated in Northern China
Karadeniz, literally meaning 'Black Sea':Black Sea inTurkish
Black Hungarians
Black Ruthenia

Center:Yellow;Earth

Huangshan: "Yellow Mountain" in central China
Huang He: "Yellow River" in central China
Golden Horde: "Central Army" of the Mongols

Arabic world

[edit]

Countries where Arabic is used refer to the cardinal directions asAsh Shamal (N),Al Gharb (W),Ash Sharq (E) andAl Janoob (S). Additionally,Al Wusta is used for the center. All five are used for geographic subdivision names (wilayahs, states, regions, governorates, provinces, districts or even towns), and some are the origin of some Southern Iberian place names (such asAlgarve, Portugal andAxarquía, Spain).

North America

[edit]
North AmericaENWSCSource
Anishinaabe[17]
Apache[18]
Aztecs[19]
Báxoje[20]
Cherokee[21]
Cheyenne[22]
Lakota[23]
Maya[24]
Navajo[25]
Puebloans[26]
Purépecha

InMesoamerica andNorth America, a number of traditionalindigenous cosmologies include four cardinal directions and a center. Some may also include "above" and "below" as directions, and therefore focus on a cosmology of seven directions. For example, among theHopi of theSouthwestern United States, the four named cardinal directions are not North, South, East and West but are the four directions associated with the places of sunrise and sunset at the winter and summer solstices.[27][28][29][30] Each direction may be associated with a color, which can vary widely between nations, but which is usually one of the basic colors found in nature and natural pigments, such as black, red, white, and yellow, with occasional appearances of blue, green, or other hues.[31] There can be great variety in color symbolism, even among cultures that are close neighbors geographically.

India

[edit]

TenHindu deities, known as the "Dikpālas", have been recognized in classical Indian scriptures, symbolizing the four cardinal and four intercardinal directions with the additional directions ofup anddown. Each of the ten directions has its own name inSanskrit.[32]

Indigenous Australia

[edit]

Someindigenous Australians have cardinal directions deeply embedded in their culture. For example, theWarlpiri people have a cultural philosophy deeply connected to the four cardinal directions[33] and theGuugu Yimithirr people use cardinal directions rather thanrelative direction even when indicating the position of an object close to their body. (For more information, see:Cultures without relative directions.)

The precise direction of the cardinal points appears to be important inAboriginal stone arrangements.

Many aboriginal languages contain words for the usual four cardinal directions, but some contain words for 5 or even 6 cardinal directions.[34]

Unique (non-compound) names of intercardinal directions

[edit]
Cardinal and non-compound intercardinal directions in Estonian and Finnish. Notice the intermixed "south" and "southwest". Further intermixing between directions south and northwest occur in otherFinnic languages.

In somelanguages, such asEstonian,Finnish andBreton, the intercardinal directions have names that are not compounds of the names of the cardinal directions (as, for instance,northeast is compounded fromnorth andeast). In Estonian, those arekirre (northeast),kagu (southeast),edel (southwest), andloe (northwest), in Finnishkoillinen (northeast),kaakko (southeast),lounas (southwest), andluode (northwest). In Japanese, there is the interesting situation that native Japanese words (yamato kotoba, kun readings of kanji) are used for the cardinal directions (such asminami for 南, south), but borrowed Chinese words (on readings of kanji) are used for intercardinal directions (such astō-nan for 東南, southeast, lit. "east-south").[dubiousdiscuss] In theMalay language, addinglaut (sea) to either east (timur) or west (barat) results in northeast or northwest, respectively, whereas addingdaya to west (givingbarat daya) results in southwest. Southeast has a special word:tenggara.

Sanskrit and other Indian languages that borrow from it use the names of thegods associated with each direction: east (Indra), southeast (Agni), south (Yama/Dharma), southwest (Nirrti), west (Varuna), northwest (Vayu), north (Kubera/Heaven) and northeast (Ishana/Shiva). North is associated with the Himalayas and heaven while the south is associated with the underworld or land of the fathers (Pitr loka). The directions are named by adding "disha" to the names of each god or entity: e.g. Indradisha (direction of Indra) or Pitrdisha (direction of the forefathers i.e. south).

The cardinal directions of theHopi language and theTewa dialect spoken by theHopi-Tewa are related to the places of sunrise and sunset at the solstices, and correspond approximately to the European intercardinal directions.[27][28][35]

Non-compass directional systems

[edit]

Use of the compass directions is common and deeply embedded inEuropean andChinese culture (seesouth-pointing chariot). Some other cultures make greater use of other referents, such as toward the sea or toward the mountains (Hawaii,Bali), or upstream and downstream (most notably in ancientEgypt, also in theYurok andKaruk languages).Lengo (Guadalcanal, Solomon Islands) has four non-compass directions: landward, seaward, upcoast, and downcoast.[citation needed]

Some languages lack words forbody-relative directions such as left/right, and use geographical directions instead.[36]

See also

[edit]

References

[edit]
  1. ^U.S. Army,Advanced Map and Aerial Photograph Reading, Headquarters, War Department, Washington, D.C. (17 September 1941), "DETERMINATION OF DIRECTION BY FIELD EXPEDIENTS"[1]
  2. ^""Ordinal directions refer to the direction found at the point equally between each cardinal direction,"Cardinal Directions and Ordinal Directions, geographyrealm.com". 22 July 2013. Retrieved22 January 2025.
  3. ^Rigge, W. F (1918). "Partial eclipse of the moon, 1918, June 24".Popular Astronomy.26: 373.Bibcode:1918PA.....26..373R.rigge1918
  4. ^Meadows, Peter; meadows."Solar Observing: Parallactic Angle".Archived from the original on 7 February 2009. Retrieved15 November 2013.
  5. ^See e.g. Weibull, Lauritz.De gamle nordbornas väderstrecksbegrepp. Scandia 1/1928; Ekblom, R.Alfred the Great as Geographer. Studia Neophilologica 14/1941-2; Ekblom, R.Den forntida nordiska orientering och Wulfstans resa till Truso. Förnvännen. 33/1938; Sköld, Tryggve.Isländska väderstreck. Scripta Islandica. Isländska sällskapets årsbok 16/1965.
  6. ^entries 765-66 of theIndogermanisches etymologisches Wörterbuch
  7. ^abentries 86-7 of theIndogermanisches etymologisches Wörterbuch
  8. ^entries 914-15 of theIndogermanisches etymologisches Wörterbuch
  9. ^entries 1173 of theIndogermanisches etymologisches Wörterbuch
  10. ^Ukrainian Soviet Encyclopedic dictionary, Kiev, 1987.
  11. ^ab"Cardinal colors in Chinese tradition". Archived fromthe original on 21 February 2007. Retrieved17 February 2007.
  12. ^ab"Chinese Cosmogony". Archived fromthe original on 18 December 2010. Retrieved17 February 2007.
  13. ^Helmut Nickel (2004)."Black against white: What color was King Arthur's horse?".Arthuriana.14 (2):69–72.doi:10.1353/art.2004.0089.JSTOR 27870606. Nickel also claims that at the 201 BCbattle of Baideng,Mo-tun's cavalry were segregated by color: "red (brown) horses formed the vanguard, blacks the rear, whites the right wing, greys (the closest to blue) the left [... and] in the center of the trap the hapless Chinese emperor, whose sacred color was the Imperial yellow." Nickel citesI.P. Potapov (1975). "Uber den Pferdekult bei den turksprachigen Volkern des Sajan-Altai-Gebirges".Abhandlungen und Berichte des Staatlichen Museums für Volkerkunde Dresden.34: 486.
  14. ^abc"Colors of the Four Directions".Archived from the original on 13 September 2010. Retrieved16 May 2010.
  15. ^Nobuko B. McNeill (July 1982)."Review: 'Two Studies of Color' by Nancy P. Hickerson".International Journal of American Linguistics.48 (3):339–342.doi:10.1086/465744.JSTOR 1264798.In Ainu [...]siwnin means both 'yellow' and 'blue' andhu means 'green' and 'red'.
  16. ^Krupp, E. C.: "Beyond the Blue Horizon: Myths and Legends of the Sun, Moon, Stars, and Planets", page 371. Oxford University Press, 1992
  17. ^Pitawanakwat, Lillian."Ojibwe/Potawatomi (Anishinabe) Teaching".Four Directions Teachings. Retrieved21 October 2024.
  18. ^"Our Language: The Meaning of Our Apache Name "Lipan"".Official Website of the Lipan Apache Tribe. Lipan Apache Tribe. Retrieved21 October 2024.
  19. ^"What was the symbolism of the four directions?".Mexilore. Retrieved21 October 2024.
  20. ^"Colors and Directions". Baxoje, the Ioway Nation. Ioway Cultural Institute. Retrieved21 October 2024.
  21. ^"Sacred Colors".Northern Cherokee Nation. Retrieved21 October 2024.
  22. ^Hodge, Frederick W. (ed.). "The Southern Cheyenne".The North American Indian: Volume 19(PDF). p. 20. Retrieved21 October 2024.
  23. ^"Native American Four Directions".Aktá Lakota. Aktá Lakota Museum & Cultural Center. Retrieved21 October 2024.
  24. ^Hopkins, Nicholas A.; Josserand, J. Kathryn."Directions and Partitions in Maya World View"(PDF). Florida State University. Retrieved21 October 2024.
  25. ^Carey Jr, Harold."The Navajo Four Sacred Colors".Navajo People. Retrieved21 October 2024.
  26. ^Roediger, Virginia More (1991). "Color".Ceremonial Costumes of the Pueblo Indians: Their Evolution, Fabrication, and Significance in the Prayer Drama. Berkeley, CA, USA: University of California Press. p. 93.
  27. ^abHopi Dictionary Project (University of Arizona Bureau of Applied Research in Anthropology) (1998),Hopi dictionary: Hopìikwa Lavàytutuveni: A Hopi-English dictionary of the Third Mesa dialect with an English-Hopi finder list and a sketch of Hopi grammar, Tucson, Arizona:University of Arizona Press, p. 890,ISBN 978-0-8165-1789-3,The cardinal directions … are "solstitial" in that places on the horizon of sunrise and sunset on the solstices correlate with these directions: On the summer solstice the sun rises in the northeast,hoop, and sets in the northwest,kwiningya; on the winter solstice the sun rises in the southeast,tatkya, and sets in the southwest,taavang.
  28. ^abMalotki, Ekkehart (1979),Hopi-Raum: Eine sprachwissenschaftliche Analyse der Raumvorstellungen in der Hopi-Sprache, Tübinger Beiträge zur Linguistik (in German), vol. 81, Tübingen: Gunter Narr Verlag, p. 165, "Die Ausrichtung des Hopi-Kardinalsystems" (The Orientation of the Hopi Cardinal System),ISBN 3-87808-081-6
  29. ^Curtis, Edward S. (1922),Hodge, Frederick Webb (ed.),The Hopi, The North American Indian, vol. 12, Norwood, Mass.: The Plimpton Press, p. 246,archived from the original on 22 December 2015, retrieved23 August 2014,Hopi orientation corresponds only approximately with ours, their cardinal points being marked by the solstitial rising and setting points of the sun.... Their cardinal points therefore are not mutually equidistant on the horizon and agree roughly with our semi-cardinal points.
  30. ^Fewkes, Jesse Walter (1897),"The Group of Tusayan Ceremonials Called Katcinas",Annual Report of the Bureau of Ethnology, vol. 15, Washington, DC: Government Printing Office, p. 258, retrieved22 August 2022,The names of the four horizon cardinal points are, kwiniwi, northwest; tevyü'ña, southwest; tatyúka, southeast, and hopokyüka (syncopated hópoko), northeast.
  31. ^Anderson, Kasper Wrem; Helmke, Christophe (2013), "The Personifications of Celestial Water: The Many Guises of the Storm God in the Pantheon and Cosmology of Teotihuacan",Contributions in New World Archaeology,5:177–179
  32. ^H. Rodrigues (22 April 2016)."The Dikpalas".mahavidya.ca.Archived from the original on 12 August 2018. Retrieved12 August 2018.
  33. ^Ngurra-kurlu: A way of working with Warlpiri people Pawu-Kurlpurlurnu WJ, Holmes M and Box L. 2008, Desert Knowledge CRC Report 41, Alice Springs
  34. ^Orientations of linear stone arrangements in New South WalesHamacher et al., 2013, Australian Archaeology, 75, 46–54Archived 17 June 2013 at theWayback Machine
  35. ^Stephen, Alexander M. (1936),Parsons, Elsie Clews (ed.),Hopi Journal of Alexander M. Stephen, Columbia University Contributions to Anthropology, vol. 23, New York: Columbia University Press, pp. 1190–1191,OCLC 716671864
  36. ^Deutscher, Guy (26 August 2010)."Does Your Language Shape How You Think?".The New York Times. Retrieved31 August 2010.
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