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  2. Contrabassoon - Wikipedia

    en.wikipedia.org/wiki/Contrabassoon

    The contrabassoon is a very deep-sounding woodwind instrument that plays in the same sub-bass register as the tuba, double bass, or contrabass clarinet.It has a sounding range beginning at B ♭ 0 (or A 0, on some instruments) and extending up over three octaves to D 4, though the highest fourth is rarely scored for.

  3. List of transposing instruments - Wikipedia

    en.wikipedia.org/wiki/List_of_transposing...

    This is a list of transposing instruments and their transposition. Transposing instruments are instruments for which the convention is to write music notation transposed relative to concert pitch . Instrument family

  4. Set theory (music) - Wikipedia

    en.wikipedia.org/wiki/Set_theory_(music)

    Sets related by transposition or inversion are said to be transpositionally related or inversionally related, and to belong to the same set class. Since transposition and inversion are isometries of pitch-class space, they preserve the intervallic structure of a set, even if they do not preserve the musical character (i.e. the physical reality ...

  5. List of rules of inference - Wikipedia

    en.wikipedia.org/wiki/List_of_rules_of_inference

    Rules of inference are syntactical transform rules which one can use to infer a conclusion from a premise to create an argument. A set of rules can be used to infer any valid conclusion if it is complete, while never inferring an invalid conclusion, if it is sound.

  6. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    However, indirect methods such as proof by contradiction can also be used with contraposition, as, for example, in the proof of the irrationality of the square root of 2. By the definition of a rational number , the statement can be made that " If 2 {\displaystyle {\sqrt {2}}} is rational, then it can be expressed as an irreducible fraction ".

  7. Semi-contrabassoon - Wikipedia

    en.wikipedia.org/wiki/Semi-contrabassoon

    The semi-contrabassoon (also called quint bassoon, semi-contra or half-contra) is a double reed woodwind instrument pitched between the bassoon and the contrabassoon.It is pitched in either F (quint bass) or G (quart bass) a fifth or fourth, respectively, below the bassoon.

  8. Bijection, injection and surjection - Wikipedia

    en.wikipedia.org/wiki/Bijection,_injection_and...

    or, equivalently (using logical transposition), , ′, ′ (′). [2] [3] [4] The function is surjective, or onto, if each element of the codomain is mapped to by at least one element of the domain; that is, if the image and the codomain of the function are equal.

  9. Rhetorical operations - Wikipedia

    en.wikipedia.org/wiki/Rhetorical_operations

    Quintilian saw rhetoric as the science of the possible deviation from a given norm, or from a pre-existing text taken as a model. Each variation can be seen as a figure (figures of speech or figures of thought). [4] From this perspective, Quintilian famously formulated four fundamental operations according to the analysis of any such variation.