music (n.)youdaoicibaDictYouDict[music 词源字典]
mid-13c., musike, from Old French musique (12c.) and directly from Latin musica "the art of music," also including poetry (also source of Spanish musica, Italian musica, Old High German mosica, German Musik, Dutch muziek, Danish musik), from Greek mousike (techne) "(art) of the Muses," from fem. of mousikos "pertaining to the Muses," from Mousa "Muse" (see muse (n.)). Modern spelling from 1630s. In classical Greece, any art in which the Muses presided, but especially music and lyric poetry.

The use of letters to denote music pitch probably is at least as old as ancient Greece, as their numbering system was ill-suited to the job. Natural scales begin at C (not A) because in ancient times the minor mode was more often used than the major one, and the natural minor scale begins at A.

Music box is from 1773, originally "barrel organ;" music hall is from 1842, especially "hall licensed for musical entertainment" (1857). To face the music "accept the consequences" is from 1850; the exact image is uncertain, one theory ties it to stage performers, another to cavalry horses having to be taught to stay calm while the regimental band plays. To make (beautiful) music with someone "have sexual intercourse" is from 1967.[music etymology, music origin, 英语词源]
number (v.)youdaoicibaDictYouDict
c. 1300, "to count," from Old French nombrer "to count, reckon," from nombre (n.) "number" (see number (n.)). Meaning "to assign a number to" is late 14c.; that of "to ascertain the number of" is from early 15c. Related: Numbered; numbering.
outnumber (v.)youdaoicibaDictYouDict
"to number more than," 1660s, from out + number (v.). Related: Outnumbered; outnumbering.
quotation (n.)youdaoicibaDictYouDict
mid-15c., "numbering," later (1530s) "marginal notation," noun of action from quote (v.) or else from Medieval Latin quotationem (nominative quotatio), noun of action from past participle stem of quotare "to number." Meaning "an act of quoting" is from 1640s; that of "passage quoted" is from 1680s. Quotation marks attested by 1777.
ratio (n.)youdaoicibaDictYouDict
1630s, "reason, rationale," from Latin ratio "reckoning, numbering, calculation; business affair, procedure," also "reason, reasoning, judgment, understanding," from rat-, past participle stem of reri "to reckon, calculate," also "think" (see reason (n.)). Mathematical sense "relationship between two numbers" is attested from 1650s.
renumber (v.)youdaoicibaDictYouDict
early 15c., from re- + number. Related: Renumbered; renumbering.
subtract (v.)youdaoicibaDictYouDict
1530s, "withdraw, withhold, take away, deduct," a back-formation from subtraction (q.v.), or else from Latin subtractus, past participle of subtrahere "take away, draw off." Related: Subtracted; subtracting. Mathematical calculation sense is from 1550s. Earlier verb form was subtraien (early 15c. in the mathematical sense), which is directly from the Latin verb.
Here he teches þe Craft how þou schalt know, whan þou hast subtrayd, wheþer þou hast wel ydo or no. ["Craft of Numbering," c. 1425]