[go: up one dir, main page]

Tritone: Difference between revisions

Content deleted Content added
Definition and nomenclature: Removing redundancy. Simplifying. Adding internal link
Moving into the introduction the info about symbol and alternative name.
Line 20:
[[Image:Lesser septimal tritone on C.png|thumb|right|Lesser septimal tritone on C<ref name="Fonville">Fonville, John. "Ben Johnston's Extended Just Intonation- A Guide for Interpreters", p.121-122, ''Perspectives of New Music'', Vol. 29, No. 2 (Summer, 1991), pp. 106-137.</ref> {{audio|Lesser septimal tritone on C.mid|Play 7:5}}.]]
[[Image:Greater septimal tritone on C.png|thumb|right|Greater septimal tritone on C<ref name="Fonville"/> {{audio|Greater septimal tritone on C.mid|Play 10:7}}.]]
 
The '''tritone''' ({{Audio|Tritone on C.mid|Play}}, ''[[tri]]-'' "three" and ''[[Pitch (music)|tone]]'') is a [[musical interval]] that spans three [[major second|whole tones]]. The tritone is the same as an '''augmented fourth''', which in [[equal temperament|12-tone equal temperament]] is the [[enharmonic]] equivalent of a '''diminished fifth'''. It is often used as the main interval of [[Consonance and dissonance|dissonance]] in [[Western world|Western]] harmony, and is important in the study of musical [[harmony]]. "Any tendency for a [[tonality]] to emerge may be avoided by introducing a note three whole tones distant from the key note of that tonality."<ref>
The '''tritone''' ({{Audio|Tritone on C.mid|Play}}, ''[[tri]]-'' "three" and ''[[Pitch (music)|tone]]'') is a [[musical interval]] that spans three [[major second|whole tones]]. It is the same as an '''augmented fourth''', which in [[equal temperament|12-tone equal temperament]] is the [[enharmonic]] equivalent of a '''diminished fifth'''. The augmented fourth and diminished fifth are the interval(s) produced by the [[augmentation (music)|augmentation]] and [[diminution]], or widening and narrowing by one [[semitone]], of the [[perfect fourth]] and [[Perfect fifth|fifth]], respectively.<ref>Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. ISBN 978-0-07-294262-0.</ref> The tritone is also sometimes called a '''tritonus''', the name used in German.
 
The '''tritone''' ({{Audio|Tritone on C.mid|Play}}, ''[[tri]]-'' "three" and ''[[Pitch (music)|tone]]'') is a [[musical interval]] that spans three [[major second|whole tones]]. The tritone is the same as an '''augmented fourth''', which in [[equal temperament|12-tone equal temperament]] is the [[enharmonic]] equivalent of a '''diminished fifth'''. It is often used as the main interval of [[Consonance and dissonance|dissonance]] in [[Western world|Western]] harmony, and is important in the study of musical [[harmony]]. "Any tendency for a [[tonality]] to emerge may be avoided by introducing a note three whole tones distant from the key note of that tonality."<ref>
{{cite book
| last = Brindle
Line 32 ⟶ 35:
| pages = 66 }}</ref>
 
== Size in different tuning systems ==
The augmented fourth and diminished fifth are the interval(s) produced by the [[augmentation (music)|augmentation]] and [[diminution]], or widening and narrowing by one-[[half step]], of the perfect fourth and fifth, respectively.<ref>Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. ISBN 978-0-07-294262-0.</ref>
 
== Definition and nomenclature ==
 
Accurately, a "tritone" is three [[Major second|tones]], or six [[semitone]]s ([[augmented fourth]]). A common symbol for tritone is '''TT'''. It is also sometimes called a ''tritonus'', the name used in German.
 
TheA "tritone" is three [[Major second|whole tones]], or six [[semitone]]s. Hence, it is an augmented fourth, and its [[inversion (music)|inverse]] of a tritone is a [[diminished fifth]]. Thus, calling the diminished fifth "tritone" is not strictly accurate. However, in [[Equal temperament|12 equal temperament]], the most commonly used tuning system, the tritone is exactly half an [[octave]] (i.e., a ratio of [[square root of 2|&radic;<span style = "text-decoration:overline">2</span>]]:1 or 600 [[cent (music)|cents]]). In other words, in this tuning system, the tritone (augmented fourth) and its inverse (diminished fifth) are equivalent. An equal-tempered tritone may be heard [[Media:tritone.mid|here]].
Writers often use the term ''tritone'' to mean specifically half an octave from a given tone, without regard to the original meaning or what system of tuning it may belong to. Context may resolve it to more an augmented fourth, a diminished fifth, or a "neutral" interval with no clear diatonic relationship. In almost all tuning systems besides 12 equal temperament, the augmented fourth and diminished fifth do not have the same size.
 
The half-octave tritone is unique in being equal to its own [[inversion (music)|octave inversion]]inverse. In other [[meantone temperament|meantone]] tunings, the augmented fourth and the diminished fifth are distinct intervals because neither is exactly half an octave. In any meantone tuning near to {{fraction|2|9}} comma meantone the augmented fourth will be near to the ratio {{fraction|7|5}} and the diminished fifth to {{fraction|10|7}}, which is what these intervals are taken to be in [[septimal meantone temperament]]. In [[31 equal temperament]], for example, the augmented fourth, a {{fraction|10|7}} , or tritone proper, is 617.49 cents, whereas a {{fraction|7|5}} is 582.51 cents. This is perceptually indistuingshable from septimal meantone temperament.
 
Two tritones add up to six whole tones, which in meantone temperament is a [[diesis]] less than an octave, but in equal temperament, where the diesis is tempered out, it is equal to a [[octave|perfect octave]]. The half-octave tritone interval is used in the musical/auditory illusion known as the [[tritone paradox]].