Interval and Ratio

Interval

Interval may refer to:

interval n 1: a definite length of time marked off by two instants [syn: {time interval}] 2: a set containing all points (or all real numbers) between two given endpoints 3: the distance between things; "fragile items require separation and cushioning" [syn: {separation}] 4: the difference in pitch between two notes [syn: {musical interval}]

185 Moby Thesaurus words for "interval": abeyance, amount, aperture, arrearage, breach, break, broaching, caesura, caliber, cavity, cease-fire, cessation, chasm, check, clearing, cleft, coffee break, comma, compass, consecutive intervals, crack, cut, day, day off, defalcation, defect, deficiency, deficit, degree, delay, diapason, diatessaron, diatonic interval, diatonic semitone, disclosure, discontinuity, distance, downtime, drop, enharmonic diesis, enharmonic interval, extent, fateful moment, fenestra, fifth, fissure, fistula, fontanel, foramen, fourth, gap, gape, gat, grade, gulf, half step, half time, half-time intermission, halftone, height, hesitation, hiatus, hole, holiday, hollow, hour, inlet, instant, interim, interlude, intermezzo, intermission, intermittence, interregnum, interruption, interstice, juncture, kairos, lack, lacuna, lapse, laying open, layoff, leak, leap, less semitone, letup, level, lull, mark, meantime, meanwhile, measure, melodic interval, minute, missing link, moment, moment of truth, need, notch, note, nuance, octave, off-time, omission, opening, opening up, orifice, outage, outlet, parallel octaves, parenthesis, pas, passageway, pause, peg, period, pitch, plane, plateau, point, point of repose, pore, pregnant moment, proportion, psychological moment, quiet spell, range, ratio, reach, recess, relief, remission, remove, respite, rest, resting point, round, rung, scale, scope, season, second, semitone, seventh, shade, shadow, shortage, sixth, slot, space, span, spell, split, stage, stair, stand-down, standard, stay, step, stint, stoma, stretch, suspension, third, throwing open, time, time lag, time off, time out, tone, tread, truce, ullage, uncorking, unison interval, unstopping, vacation, void, wait, want, wantage, while, whole step, yawn

Interval \In"ter*val\, n. [L. intervallum; inter between + vallum a wall: cf. F. intervalle. See {Wall}.] [1913 Webster] 1. A space between things; a void space intervening between any two objects; as, an interval between two houses or hills. [1913 Webster] 'Twixt host and host but narrow space was left, A dreadful interval. --Milton. [1913 Webster] 2. Space of time between any two points or events; as, the interval between the death of Charles I. of England, and the accession of Charles II. [1913 Webster] 3. A brief space of time between the recurrence of similar conditions or states; as, the interval between paroxysms of pain; intervals of sanity or delirium. [1913 Webster] 4. (Mus.) Difference in pitch between any two tones. [1913 Webster] {At intervals}, coming or happening with intervals between; now and then. ``And Miriam watch'd and dozed at intervals.'' --Tennyson. {Augmented interval} (Mus.), an interval increased by half a step or half a tone.

Interval \In"ter*val\, Intervale \In"ter*vale\, n. A tract of low ground between hills, or along the banks of a stream, usually alluvial land, enriched by the overflowings of the river, or by fertilizing deposits of earth from the adjacent hills. Cf. {Bottom}, n., 7. [Local, U. S.] [1913 Webster] The woody intervale just beyond the marshy land. --The Century. [1913 Webster]

Ratio

In mathematics, a ratio is a relationship between two numbers of the same kind (e.g., objects, persons, students, spoonfuls, units of whatever identical dimension), usually expressed as "a to b" or a:b, sometimes expressed arithmetically as a dimensionless quotient of the two that explicitly indicates how many times the first number contains the second (not necessarily an integer).

ratio n : the relative magnitudes of two quantities (usually expressed as a quotient)

89 Moby Thesaurus words for "ratio": Vernunft, amount, analogousness, arithmetical proportion, balance, brain, brains, caliber, commensurability, comparability, comparableness, comparativeness, compass, conception, continued fraction, correlation, correspondence, cut, degree, discourse of reason, discursive reason, equivalence, esprit, extent, fraction, geometric ratio, grade, gray matter, harmonic proportion, head, headpiece, height, improper fraction, intellect, intellection, intellectual faculty, intelligence, interval, leap, level, mark, measure, mens, mental capacity, mentality, mind, notch, nous, nuance, pas, peg, percent, percentage, period, pitch, plane, plateau, point, power of reason, proportion, proportionability, psyche, quota, quotum, range, rate, rationality, reach, reason, reasoning, reasoning faculty, relationship, remove, round, rule of three, rung, scale, scope, shade, shadow, similarity, smarts, space, stair, standard, step, stint, tread, understanding

Ratio \Ra"ti*o\ (r[=a]"sh[i^]*[-o] or r[=a]"sh[-o]), n. [L., fr. reri, ratus, to reckon, believe, think, judge. See {Reason}.] 1. (Math.) The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient of the division of the first by the second; thus, the ratio of 3 to 6 is expressed by 3/6 or 1/2; of a to b by a/b; or (less commonly) the second term is made the dividend; as, a:b = b/a. [1913 Webster] Note: Some writers consider ratio as the quotient itself, making ratio equivalent to a number. [1913 Webster] The term ratio is also sometimes applied to the difference of two quantities as well as to their quotient, in which case the former is called arithmetical ratio, the latter, geometrical ratio. The name ratio is sometimes given to the rule of three in arithmetic. See under {Rule}. [1913 Webster] 2. Hence, fixed relation of number, quantity, or degree; rate; proportion; as, the ratio of representation in Congress. [1913 Webster] {Compound ratio}, {Duplicate ratio}, {Inverse ratio}, etc. See under {Compound}, {Duplicate}, etc. {Ratio of a geometrical progression}, the constant quantity by which each term is multiplied to produce the succeeding one. [1913 Webster]

Geometric \Ge`o*met"ric\, Geometrical \Ge`o*met"ric*al\, a. [L. geometricus; Gr. ?: cf. F. g['e]om['e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem. [1913 Webster] 2. (Art) characterized by simple geometric forms in design and decoration; as, a buffalo hide painted with red and black geometrical designs. Syn: geometric. [WordNet 1.5] Note: Geometric is often used, as opposed to algebraic, to include processes or solutions in which the propositions or principles of geometry are made use of rather than those of algebra. [1913 Webster] Note: Geometrical is often used in a limited or strictly technical sense, as opposed to mechanical; thus, a construction or solution is geometrical which can be made by ruler and compasses, i. e., by means of right lines and circles. Every construction or solution which requires any other curve, or such motion of a line or circle as would generate any other curve, is not geometrical, but mechanical. By another distinction, a geometrical solution is one obtained by the rules of geometry, or processes of analysis, and hence is exact; while a mechanical solution is one obtained by trial, by actual measurements, with instruments, etc., and is only approximate and empirical. [1913 Webster] {Geometrical curve}. Same as {Algebraic curve}; -- so called because their different points may be constructed by the operations of elementary geometry. {Geometric lathe}, an instrument for engraving bank notes, etc., with complicated patterns of interlacing lines; -- called also {cycloidal engine}. {Geometrical pace}, a measure of five feet. {Geometric pen}, an instrument for drawing geometric curves, in which the movements of a pen or pencil attached to a revolving arm of adjustable length may be indefinitely varied by changing the toothed wheels which give motion to the arm. {Geometrical plane} (Persp.), the same as {Ground plane} . {Geometrical progression}, {proportion}, {ratio}. See under {Progression}, {Proportion} and {Ratio}. {Geometrical radius}, in gearing, the radius of the pitch circle of a cogwheel. --Knight. {Geometric spider} (Zo["o]l.), one of many species of spiders, which spin a geometrical web. They mostly belong to {Epeira} and allied genera, as the garden spider. See {Garden spider}. {Geometric square}, a portable instrument in the form of a square frame for ascertaining distances and heights by measuring angles. {Geometrical staircase}, one in which the stairs are supported by the wall at one end only. {Geometrical tracery}, in architecture and decoration, tracery arranged in geometrical figures. [1913 Webster]

Data Sources:

  • interval: WordNet (r) 2.0
  • interval: Moby Thesaurus II by Grady Ward, 1.0
  • interval: The Collaborative International Dictionary of English v.0.44
  • interval: The Collaborative International Dictionary of English v.0.44
  • ratio: WordNet (r) 2.0
  • ratio: Moby Thesaurus II by Grady Ward, 1.0
  • ratio: The Collaborative International Dictionary of English v.0.44
  • ratio: The Collaborative International Dictionary of English v.0.44

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