Etymology
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Words related to accord

ad- 

word-forming element expressing direction toward or in addition to, from Latin ad "to, toward" in space or time; "with regard to, in relation to," as a prefix, sometimes merely emphatic, from PIE root *ad- "to, near, at."

Simplified to a- before sc-, sp- and st-; modified to ac- before many consonants and then re-spelled af-, ag-, al-, etc., in conformity with the following consonant (as in affection, aggression). Also compare ap- (1).

In Old French, reduced to a- in all cases (an evolution already underway in Merovingian Latin), but French refashioned its written forms on the Latin model in 14c., and English did likewise 15c. in words it had picked up from Old French. In many cases pronunciation followed the shift.

Over-correction at the end of the Middle Ages in French and then English "restored" the -d- or a doubled consonant to some words that never had it (accursed, afford). The process went further in England than in France (where the vernacular sometimes resisted the pedantic), resulting in English adjourn, advance, address, advertisement (Modern French ajourner, avancer, adresser, avertissement). In modern word-formation sometimes ad- and ab- are regarded as opposites, but this was not in classical Latin.

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*kerd- 
Proto-Indo-European root meaning "heart."

It forms all or part of: accord; cardiac; cardio-; concord; core; cordial; courage; credence; credible; credit; credo; credulous; creed; discord; grant; heart; incroyable; megalocardia; miscreant; myocardium; pericarditis; pericardium; quarry (n.1) "what is hunted;" record; recreant; tachycardia.

It is the hypothetical source of/evidence for its existence is provided by: Greek kardia, Latin cor, Armenian sirt, Old Irish cride, Welsh craidd, Hittite kir, Lithuanian širdis, Russian serdce, Old English heorte, German Herz, Gothic hairto, "heart;" Breton kreiz "middle;" Old Church Slavonic sreda "middle."
concord (n.)

early 14c., "agreement between persons, union in opinions or sentiment, state of mutual friendship, amiability," from Old French concorde (12c.) "concord, harmony, agreement, treaty," from Latin concordia "agreement, union," from concors (genitive concordis) "of the same mind," literally "hearts together," from assimilated form of com "with, together" (see con-) + cor (genitive cordis) "heart," from PIE root *kerd- "heart." Related: Concordial.

Meaning "a compact or agreement" is from late 15c. The village in Massachusetts (site of one of the opening battles of the Revolutionary War, April 19, 1775) was named in 1635, perhaps in reference to the peaceful dealings between the settlers and the local native tribes. The capital of New Hampshire was renamed for the Massachusetts town in 1763 (formerly it had been Pennycook, from a mangling of  a native Algonquian word meaning "descent").

By the rude bridge that arched the flood,
   Their flag to April’s breeze unfurled,
Here once the embattled farmers stood
   And fired the shot heard round the world.  
[Emerson, from "Concord Hymn"]

The Concord grape was so called by 1853, from the Massachusetts town, where it was bred for the local climate and promoted by farmer Ephraim Wales Bull. It is mentioned, but not named in the "New England Farmer" of Oct. 26, 1850, in its acknowledgements:

From E. W. Bull, Concord, a lot of fine seedling grapes, which he produced by a cross of the Catawba with a native grape. It is very good, and partakes of the nature of its parents, having some of the vinous flavor of the Catawba, and a little of the acid peculiar to our native fruit.  
discord (n.)
Origin and meaning of discord

early 13c., descorde, "unfriendly feeling, ill will;" also "dissension, strife," from Old French descorde (12c.) "disagreement," from Latin discordia, from discors (genitive discordis) "disagreeing, disagreement," from dis- "apart" (see dis-) + cor (genitive cordis) "heart," from PIE root *kerd- "heart."

Musical sense "want of harmony between two notes sounded together; a combination of notes not in harmony with one another" is from late 14c.

according (adj./adv.)

c. 1300, "matching, similar, corresponding" (a sense now obsolete), present-participle adjective and adverb from accord (v.). Meanings "conforming (to), compliant, in agreement; consistent, harmonious; suitable, appropriate" are from late 14c. According to "referring to," literally "in a manner agreeing with" is from late 14c. As an adverb, "often applied to persons, but referring elliptically to their statements or opinions" [Century Dictionary].

accordance (n.)

c. 1300, "compliance;" early 14c., "agreement, concurrence, state of being in accord," from Old French acordance "agreeing, reconciliation, harmony," noun of action from acorder "reconcile, agree, be in harmony" (see accord (v.)).

Of things, "conformity, compatibility, harmony," late 14c. The meaning "formal adjustment of a difference, peace treaty" is from late 13c. Phrase in accordance with is attested by 1793 (in Middle English, in accordance of was the usual form).

accordant (adj.)
"corresponding, conformable," early 14c., from Old French acordant "agreeing with," from Medieval Latin accordantem (nominative accordans), present participle of accordare "agree," from Vulgar Latin (see accord (v.)). Related: Accordantly.
accordion (n.)

"small, keyed, bellows-like wind instrument," 1830, from German Akkordion, from Akkord "musical chord, concord of sounds," from a verb similar to Old French acorder "agree, be in harmony," from Vulgar Latin *accordare (compare Italian accordare "to attune a musical instrument;" see accord (v.)), with suffix on analogy of clarion, etc. Invented 1829 by piano-maker Cyrill Demian of Vienna. The type with a keyboard instead of buttons is a piano accordion. Related: Accordionist.

chord (n.1)

"related notes in music," 1590s, ultimately a shortening of accord (or borrowed from a similar development in French) and influenced by corde "string of a musical instrument" (c. 1300), which is Latin chorda "catgut, a string" of a musical instrument (see cord (n.)).

English cord as a shortening of accord is attested from mid-14c.; cord meaning "music" is attested in English from late 14c. The spelling with an -h- is first recorded c. 1600, from further confusion with chord (n.2) and perhaps also classical correction. Originally two notes sounded simultaneously; of three or more from 18c.

disaccord (v.)

late 14c., disacorden "be contrary; disagree, refuse assent," from Old French desacorder (12c., Modern French désaccorder), from des- "opposite of" (see dis-) + acorder "agree, be in harmony" (see accord (v.)). Related: Disaccorded; disaccording.