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http://dbpedia.org/ontology/abstract ピッチクラス(英: pitch class、直訳:音高の集合)は、同じ音名を与えられている楽音の集合。 , La locuzione classe di altezze (talvolta aLa locuzione classe di altezze (talvolta all'inglese pitch class) è un concetto proprio dell'analisi musicale, nella fattispecie del suo approccio insiemistico. Ottava perfetta In musica, una classe di altezze è un insieme di tutte le altezze che sono presenti ad un numero intero di ottave di distanza: per esempio, la classe di altezze Do consiste di tutti i Do in tutte le ottave.consiste di tutti i Do in tutte le ottave. , In de muziektheorie is een toonklasse (EngIn de muziektheorie is een toonklasse (Engels: pitch-class) een verzameling (het totaal) van tonen die onderling een veelvoud van een octaaf verschillen. Door de toonklassen te beschouwen worden als het ware alle tonen teruggebracht tot binnen één octaaf. De toonklasse die de stamtoon C bevat, kortweg de toonklasse van C genoemd, is dus {..., C−2, C−1, C0, C1, C2, C3 ...} Soms gaat men nog verder door alle tonen die bij het klinken een veelvoud van een octaaf verschillen tot dezelfde toonklasse te rekenen. In de gelijkzwevende stemming bevat de toonklasse van C dan ook de tonen Bis en Deses doorheen alle octaven. Het gehele toonmateriaal is dan gereduceerd tot 12 toonklassen. Deze 12 toonklassen worden wel genummerd met de nummers 0 voor de toonklasse van C, tot en met 11 voor de toonklasse van B.C, tot en met 11 voor de toonklasse van B. , En la música, una clase de tonos (en. pitch class) es un conjunto de todos los tonos que están separados por un número entero de octavas, ej., la clase de tonos de Do está constituida por todos los Do de todas las octavas. , Eine Tonklasse (engl. pitch class) enthältEine Tonklasse (engl. pitch class) enthält alle Töne, die bestimmte Eigenschaften miteinander teilen. Formal betrachtet ist eine Tonklasse deshalb eine Äquivalenzklasse von Tönen bezüglich eines bestimmten Merkmals. Demnach sind verschiedene Einteilungen der Töne in Tonklassen möglich, je nachdem, welches Merkmal man zugrunde legt.Im modernen 12-teiligen europäischen Tonsystem werden hauptsächlich drei Arten von Tonklassen unterschieden: * Tonklassen mit Oktav-Äquivalenz:Alle Töne, die genau eine reine Oktave auseinanderliegen, gehören in die gleiche Tonklasse. Somit erhält man insgesamt 35 verschiedene Tonklassen: * unveränderte Stammtöne: A-H-C-D-E-F-G * um einen Halbtonschritt erhöhte Stammtöne: A#-H#-C#-D#-E#-F#-G# * um zwei Halbtonschritte erhöhte Stammtöne: Ax-Hx-Cx-Dx-Ex-Fx-Gx * um einen Halbtonschritt erniedrigte Stammtöne: Ab-B-Cb-Db-Eb-Fb-Gb * um zwei Halbtonschritte erniedrigte Stammtöne: Abb-Hbb-Cbb-Dbb-Ebb-Fbb-GbbDiese Version der Tonklassen wird in der dur-moll-tonalen Musik bevorzugt, da so die Unterscheidung zwischen zwei unterschiedlich geschriebenen Noten auf der gleichen Tonhöhe gewährleistet ist (z. B. Db und C#). * Die heute meistens verwendete gleichstufige Stimmung ermöglicht die Tonklassen mit sogenannter enharmonischer Äquivalenz. Dabei gehören alle Töne, die mit derselben Frequenz erklingen, in eine Tonklasse. So gehören zum Beispiel die Töne d‘, cx‘ und ebb‘ in dieselbe Tonklasse, weil alle exakt dieselbe Tonhöhe bezeichnen. Hingegen gehört d‘‘ nicht zur gleichen Tonklasse, weil die Tonhöhe nicht mit den anderen Tönen identisch ist. * Kombiniert man diese beiden, Oktav- mit enharmonischer Äquivalenz, so erhält man zwölf Tonklassen: 1. * A (Gx, Hbb) 2. * B (A#, Cbb) 3. * H (Ax, Cb) 4. * C (H#, Dbb) 5. * C# (Hx, Db) 6. * D (Cx, Ebb) 7. * D# (Eb, Fbb) 8. * E (Dx, Fb) 9. * F (E#, Gbb) 10. * F# (Ex, Gb) 11. * G (Fx, Abb) 12. * G# (Ab)Diese Version wird in der atonalen Musik bevorzugt. Sinnvoll sind Tonklassen, wenn man über bestimmte Funktionen sprechen will, die ein Ton unabhängig von seiner Tonhöhe erfüllen kann (z. B. als Leitton innerhalb einer Tonart).z. B. als Leitton innerhalb einer Tonart). , 音高集合(英語:pitch class)是一個集合,其中所有的音高都剛好差整數倍的八音高集合(英語:pitch class)是一個集合,其中所有的音高都剛好差整數倍的八度音,舉例來說,音高集合C包含了所有八度音中的C。若以科學音高記法表示,則音高集合C如下 {Cn : n 為整數} = {..., C-2, C-1, C0, C1, C2, C3 ...}; 其中,C2比C1高八度音,頻率為後者兩倍,數字每多一,就高一個八度,頻率變兩倍。雖然n沒有正式的範圍,但人耳只聽得到部分的音高(約20赫茲到20000赫茲),故n大多範圍在0到11之間。人耳對音高的感知是對數–線性,且在同一音高集合中的音高,因為頻率為倍數關係,彼此有疊加的關係,故聽起來非常和諧,有相似的感受,此關係稱為「等價八度」,故音高集合的概念非常的重要。 心理學家把音高的特性稱為色度(就像彩度是色彩的特性),在同一個音高集合中,有許多不同頻率的音高,但每個音高都有著相同的色度,若以色彩當對照比喻的話,可以把音高集合想成裝有白色物體的集合,裡面的東西不同,但彩度都為白色。 要注意在標準西方音樂標記中,不同的符號可能代表著相同的音高,譬如: B♯3, C4, 和 D4 都是相同的,因此也有著一樣的色度,被歸類在同一種音高集合中。3, C4, 和 D4 都是相同的,因此也有著一樣的色度,被歸類在同一種音高集合中。 , 음고류(音高類, 영어: pitch class, 약자 pc)란 같은 음이름을 음고류(音高類, 영어: pitch class, 약자 pc)란 같은 음이름을 가진 모든 음들의 집합이다. 예를 들어 C의 음고류는 모든 옥타브의 C 음들로 구성된다. 음악 이론에 있어서 음고류는, 같은 음이름을 가진 음들, 이명동음들을 서로 관련지을 수 있다는 점에서 중요하다. 미국식 음고 기보법을 사용하여 음고류 "C"는 다음과 같이 표기된다. {Cn : n 은 정수} = {..., C-2, C-1, C0, C1, C2, C3 ...}; n값엔 딱히 정해진 상한이나 하한은 없지만, 인간의 귀로는 들을 수 있는 범위 내여야 한다. 같은 음고류에 속하는 음들은 서로 유사하게 들리는데 이 특성을 '옥타브 동치성'이라 부른다. 서양 표준 평균율에서는 B♯3, C4, D4 등 표기가 달라도 동일한 소리가 나는 이명동음이 존재하는데, 이 특성을 '이명동음 동치성'이라 부른다. 에서는 이명동음 음들을 동일하게 취급한다. '이명동음 동치성'이라 부른다. 에서는 이명동음 음들을 동일하게 취급한다. , Высо́тный класс, звуковысотный класс (англВысо́тный класс, звуковысотный класс (англ. pitch class) в англоязычной теории музыки — это высота звука без учёта октавы, а точнее множество всех звуковых высот, отстоящих друг от друга на целое число октав. Например, высотный класс A (ля) включает высоту ля первой октавы (эталонного камертона частотой 440 Гц, например), а также все остальные звуковые высоты, отстоящие на целое число октав от данной, вниз и вверх. Термин, введённый в работах американских музыковедов послевоенного времени, ныне используется также в некоторых странах западной Европы в рамках так называемой англ. pitch class set theory — в основном, для анализов так называемой «атональной» музыки XX века.ак называемой «атональной» музыки XX века. , In music, a pitch class (p.c. or pc) is a In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave position." Important to musical set theory, a pitch class is "all pitches related to each other by octave, enharmonic equivalence, or both." Thus, using scientific pitch notation, the pitch class "C" is the set {Cn : n is an integer} = {..., C−2, C−1, C0, C1, C2, C3 ...}. Although there is no formal upper or lower limit to this sequence, only a few of these pitches are audible to humans. Pitch class is important because human pitch-perception is periodic: pitches belonging to the same pitch class are perceived as having a similar quality or color, a property called "octave equivalence". Psychologists refer to the quality of a pitch as its "chroma". A chroma is an attribute of pitches (as opposed to tone height), just like hue is an attribute of color. A pitch class is a set of all pitches that share the same chroma, just like "the set of all white things" is the collection of all white objects. Note that in standard Western equal temperament, distinct spellings can refer to the same sounding object: B♯3, C4, and D4 all refer to the same pitch, hence share the same chroma, and therefore belong to the same pitch class. This phenomenon is called enharmonic equivalence.enomenon is called enharmonic equivalence.
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rdfs:comment La locuzione classe di altezze (talvolta aLa locuzione classe di altezze (talvolta all'inglese pitch class) è un concetto proprio dell'analisi musicale, nella fattispecie del suo approccio insiemistico. Ottava perfetta In musica, una classe di altezze è un insieme di tutte le altezze che sono presenti ad un numero intero di ottave di distanza: per esempio, la classe di altezze Do consiste di tutti i Do in tutte le ottave.consiste di tutti i Do in tutte le ottave. , Eine Tonklasse (engl. pitch class) enthältEine Tonklasse (engl. pitch class) enthält alle Töne, die bestimmte Eigenschaften miteinander teilen. Formal betrachtet ist eine Tonklasse deshalb eine Äquivalenzklasse von Tönen bezüglich eines bestimmten Merkmals. Demnach sind verschiedene Einteilungen der Töne in Tonklassen möglich, je nachdem, welches Merkmal man zugrunde legt.Im modernen 12-teiligen europäischen Tonsystem werden hauptsächlich drei Arten von Tonklassen unterschieden:h drei Arten von Tonklassen unterschieden: , In de muziektheorie is een toonklasse (EngIn de muziektheorie is een toonklasse (Engels: pitch-class) een verzameling (het totaal) van tonen die onderling een veelvoud van een octaaf verschillen. Door de toonklassen te beschouwen worden als het ware alle tonen teruggebracht tot binnen één octaaf. De toonklasse die de stamtoon C bevat, kortweg de toonklasse van C genoemd, is dus {..., C−2, C−1, C0, C1, C2, C3 ...}is dus {..., C−2, C−1, C0, C1, C2, C3 ...} , In music, a pitch class (p.c. or pc) is a In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave position." Important to musical set theory, a pitch class is "all pitches related to each other by octave, enharmonic equivalence, or both." Thus, using scientific pitch notation, the pitch class "C" is the set {Cn : n is an integer} = {..., C−2, C−1, C0, C1, C2, C3 ...}.er} = {..., C−2, C−1, C0, C1, C2, C3 ...}. , 음고류(音高類, 영어: pitch class, 약자 pc)란 같은 음이름을 음고류(音高類, 영어: pitch class, 약자 pc)란 같은 음이름을 가진 모든 음들의 집합이다. 예를 들어 C의 음고류는 모든 옥타브의 C 음들로 구성된다. 음악 이론에 있어서 음고류는, 같은 음이름을 가진 음들, 이명동음들을 서로 관련지을 수 있다는 점에서 중요하다. 미국식 음고 기보법을 사용하여 음고류 "C"는 다음과 같이 표기된다. {Cn : n 은 정수} = {..., C-2, C-1, C0, C1, C2, C3 ...}; n값엔 딱히 정해진 상한이나 하한은 없지만, 인간의 귀로는 들을 수 있는 범위 내여야 한다. 같은 음고류에 속하는 음들은 서로 유사하게 들리는데 이 특성을 '옥타브 동치성'이라 부른다. 서양 표준 평균율에서는 B♯3, C4, D4 등 표기가 달라도 동일한 소리가 나는 이명동음이 존재하는데, 이 특성을 '이명동음 동치성'이라 부른다. 에서는 이명동음 음들을 동일하게 취급한다. '이명동음 동치성'이라 부른다. 에서는 이명동음 음들을 동일하게 취급한다. , En la música, una clase de tonos (en. pitch class) es un conjunto de todos los tonos que están separados por un número entero de octavas, ej., la clase de tonos de Do está constituida por todos los Do de todas las octavas. , Высо́тный класс, звуковысотный класс (англВысо́тный класс, звуковысотный класс (англ. pitch class) в англоязычной теории музыки — это высота звука без учёта октавы, а точнее множество всех звуковых высот, отстоящих друг от друга на целое число октав. Например, высотный класс A (ля) включает высоту ля первой октавы (эталонного камертона частотой 440 Гц, например), а также все остальные звуковые высоты, отстоящие на целое число октав от данной, вниз и вверх. Термин, введённый в работах американских музыковедов послевоенного времени, ныне используется также в некоторых странах западной Европы в рамках так называемой англ. pitch class set theory — в основном, для анализов так называемой «атональной» музыки XX века.ак называемой «атональной» музыки XX века. , 音高集合(英語:pitch class)是一個集合,其中所有的音高都剛好差整數倍的八音高集合(英語:pitch class)是一個集合,其中所有的音高都剛好差整數倍的八度音,舉例來說,音高集合C包含了所有八度音中的C。若以科學音高記法表示,則音高集合C如下 {Cn : n 為整數} = {..., C-2, C-1, C0, C1, C2, C3 ...}; 其中,C2比C1高八度音,頻率為後者兩倍,數字每多一,就高一個八度,頻率變兩倍。雖然n沒有正式的範圍,但人耳只聽得到部分的音高(約20赫茲到20000赫茲),故n大多範圍在0到11之間。人耳對音高的感知是對數–線性,且在同一音高集合中的音高,因為頻率為倍數關係,彼此有疊加的關係,故聽起來非常和諧,有相似的感受,此關係稱為「等價八度」,故音高集合的概念非常的重要。 心理學家把音高的特性稱為色度(就像彩度是色彩的特性),在同一個音高集合中,有許多不同頻率的音高,但每個音高都有著相同的色度,若以色彩當對照比喻的話,可以把音高集合想成裝有白色物體的集合,裡面的東西不同,但彩度都為白色。 要注意在標準西方音樂標記中,不同的符號可能代表著相同的音高,譬如: B♯3, C4, 和 D4 都是相同的,因此也有著一樣的色度,被歸類在同一種音高集合中。3, C4, 和 D4 都是相同的,因此也有著一樣的色度,被歸類在同一種音高集合中。 , ピッチクラス(英: pitch class、直訳:音高の集合)は、同じ音名を与えられている楽音の集合。
rdfs:label Tonklasse , Высотный класс , 음고류 , 音高集合 , Pitch class , ピッチクラス , Classe di altezze , Clase de tonos , Toonklasse
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