Monotone refers to a sound, for example music or speech, that has a single unvaried tone. See

pure tone In psychoacoustics, a pure tone is a sound with a sinusoidal waveform; that is, a sine wave of constant frequency, phase-shift, and amplitude. By extension, in signal processing a single-frequency tone or pure tone is a purely sinusoidal signal ...

and

monotonic scale A monotonic scale is a scale (music), musical scale consisting of only one Musical note, note in the octave. Having a deliberate fixed note, the monotonic is still a musical form rather than a total absence of melody. The monotonic stands in contra ...

. Monotone or monotonicity may also refer to:

In economics

Monotone preferences In economics, an agent's preferences are said to be weakly monotonic if, given a consumption bundle x, the agent prefers all consumption bundles y that have more of all goods. That is, y \gg x implies y\succ x. An agent's preferences are said to b ...

, a property of a consumer's preference ordering. *

Monotonicity (mechanism design) In mechanism design, monotonicity is a property of a social choice function. It is a necessary condition for being able to implement such a function using a strategyproof mechanism. Its verbal description is: In other words: Notation There i ...

, a property of a social choice function. *

Monotonicity criterion Electoral system criteria In social choice, the negative response, perversity, or additional support paradox is a pathological behavior of some voting rules where a candidate loses as a result of having too much support (or wins because of in ...

, a property of a voting system. *

Resource monotonicity Resource monotonicity (RM; aka aggregate monotonicity) is a principle of fair division. It says that, if there are more resources to share, then all agents should be weakly better off; no agent should lose from the increase in resources. The RM pri ...

, a property of resource allocation rules and bargaining systems.

In mathematics

Monotone class theorem In measure theory and probability, the monotone class theorem connects monotone classes and -algebras. The theorem says that the smallest monotone class containing an algebra of sets G is precisely the smallest -algebra containing G. It is ...

, in measure theory *

Monotone convergence theorem In the mathematical field of real analysis, the monotone convergence theorem is any of a number of related theorems proving the good convergence behaviour of monotonic sequences, i.e. sequences that are non- increasing, or non- decreasing. In its ...

, in mathematics *

Monotone polygon In geometry, a polygon in the plane is called monotone with respect to a straight line , if every line orthogonal to intersects the boundary of at most twice. Similarly, a polygonal chain is called monotone with respect to a straight line ...

, a property of a geometric object *

Monotonic function In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of or ...

, a property of a mathematical function *

Monotonicity of entailment Monotonicity of entailment is a property of many logical systems such that if a sentence follows deductively from a given set of sentences then it also follows deductively from any superset of those sentences. A corollary is that if a given argume ...

, a property of some logical systems *

Monotonically increasing In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of orde ...

, a property of number

sequence In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is cal ...

Other uses

Monotone (software) Monotone is an open source software tool for distributed revision control. It tracks revisions to files, groups sets of revisions into changesets, and tracks history across renames. The focus of the project is on integrity over performance. Mo ...

, an open source revision control system *

Monotonic orthography Greek orthography has used a variety of diacritics starting in the Hellenistic period. The more complex polytonic orthography (), which includes five diacritics, notates Ancient Greek phonology. The simpler monotonic orthography (), introduce ...

, simplified spelling of modern Greek *

The Monotones The Monotones were a six-member American doo-wop vocal group in the 1950s. They are considered a one-hit wonder, as their only hit single was " The Book of Love", which peaked at No. 5 on the Billboard Top 100 in 1958. Biography The Monot ...

, 1950s American rock and roll band * Quantifier monotonicity, in formal semantics * "Monotone" (song), a song by Yoasobi for 2024 animated film ''Fureru'' *"Monotone", a song by American alternative rock band Splender {{disambig