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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. Transposing instrument - Wikipedia

    en.wikipedia.org/wiki/Transposing_instrument

    Some instruments are constructed in a variety of sizes, with the larger versions having a lower range than the smaller ones. Common examples are clarinets (the high E ♭ clarinet, soprano instruments in C, B ♭ and A, the alto in E ♭, and the bass in B ♭), flutes (the piccolo, transposing at the octave, the standard concert-pitch flute, and the alto flute in G), saxophones (in several ...

  5. 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 ...

  6. Contrabass clarinet - Wikipedia

    en.wikipedia.org/wiki/Contrabass_clarinet

    The contra-alto clarinet is higher-pitched than the contrabass and is pitched in the key of E ♭ rather than B ♭.The unhyphenated form "contra alto clarinet" is also sometimes used, as is "contralto clarinet", but the latter is confusing since the instrument's range is much lower than the contralto vocal range; the more correct term "contra-alto" is meant to convey, by analogy with ...

  7. Contra-alto clarinet - Wikipedia

    en.wikipedia.org/wiki/Contra-alto_clarinet

    The contra-alto clarinet [2] is largely a development of the 2nd half of the 20th century, although there were some precursors in the 19th century: . In 1829, Johann Heinrich Gottlieb Streitwolf [], an instrument maker in Göttingen, introduced an instrument tuned in F in the shape and fingering of a basset horn, which could be called a contrabasset horn because it played an octave lower than it.

  8. Contrabass sarrusophone - Wikipedia

    en.wikipedia.org/wiki/Contrabass_sarrusophone

    The EE♭ sarrusophone has the tone of a reedy contrabass saxophone, while the CC sarrusophone sounds much like the contrabassoon.The BB♭ contrabass sarrusophone is the lowest of the sarrusophones, and was the lowest-pitched wind instrument until the invention of the EEE♭ octocontra-alto and the BBB♭ octocontrabass clarinets, and the BB♭ subcontrabass tubax.

  9. Peres–Horodecki criterion - Wikipedia

    en.wikipedia.org/wiki/Peres–Horodecki_criterion

    The Peres–Horodecki criterion is a necessary condition, for the joint density matrix of two quantum mechanical systems and , to be separable.It is also called the PPT criterion, for positive partial transpose.