octavation

plural octavations

1. entertainmentTransposition by an octave.

   I arranged ‘octavations’ which seemed to me to give the two movements greater elegance and litheness.

   1988, William Primrose quoted by David J. Dalton in Playing the Viola, page 202

   4 more examples

   OCTAVATION (also called Pitch Control) — Changing the rate of tape speed over the playback head of a tape recorder changes the pitch of the signal being played back. If the speed is doubled, the signal will increase in pitch one octave.

   1973, George R Neaderhiser, Guidelines for the Development of a Comprehensive Music Curriculum for Elementary Secondary Schools, page unknown

   A French rondeau from the Roman de la Rose (12th century) first establishes the triad, then turns to the seventh, but leaves it immediately to catch the octave, only to return in haste to the safer, wonted seventh. A similar example of uncertain octavation will be described in the following section on the Fate of Quartal and Quintal Patterns.

   1977, Curt Sachs, edited by Jaap Kunst, The Wellsprings of Music, page 158

   The method provides a simple control mechanism to provide spectral morphing via the octavation parameter.

   1996 August 19th–24th, Lydia Ayers and Andrew Horner [eds.], Proceedings of the 1996 International Computer Music Conference, page 127

   He also once mentioned a principle of “octavation” (his term), whereby, coming to a difficult point in the evolution of a contrapuntal texture, the composer could, as it were, escape to fresh territory by the straightforward strategy of jumping a part up or down by an octave.

   1998, Hayes Biggs, Susan Orzel, editors, Musically Incorrect, page 13

2. rareNormalization of a numerical ratio by repeated multiplication or division by 2.

   Energy is apparently transmuted by a series of octavations and that these octavations differentiate matter.

   1923, Medical Review of Reviews, XXIX, page 22

   2 more examples

   It may be said that the sex question is both brain stem and pelvic stem in its fourfold octavation with its stabilizing governor, the pituitary body. These consist in coördination and correlation, the sex relation of octavation of voice and pitch.

   1922, Frank Ebenezer Miller, Vocal Art-Science and Its Application (2nd edition), pages 230 and 240

   These arise when the reciprocal of the orbital periods in seconds is taken and the resulting number is equated to a frequency and finally transposed into a reference note by means of octavation.

   2010, Hartmut Warm, Signature of the Celestial Spheres: Discovering Order in the Solar System, →ISBN, pages 58–59

3. rareastrologyThe relationship between two planets that are distant from each other by one eighth of a great circle (45.625 degrees)

   This octavation will be qualified (and perhaps rendered nil) if on a day when Uranus is well aspected its octave Mercury should be adversely aspected, or vice versa.

   1947, George Llewellyn, Improved Perpetual Planetary Hour Book (rev. ed.), page 170

4. mathematicsConversion (of the expression of a number) from denary to octal notation.

   The 18th century American mathematician Hugh Jones used the words “octavation” and “decimation” to describe octal/decimal conversions.

   1973, Donald E. Knuth, The Art of Computer Programming (2nd edition) II: “Seminumerical Algorithms”, page 309

   2 more examples

   The inverse operation, which is termed “decimation,” together with an adequate treatment for the octavation of decimal fractions will be mentioned here without consideration of the details.

   1949, The American Mathematical Monthly, LVI, page 463

   The author […] supplied elaborate rules for the use of the octave system and for the reducing of numbers from the decade to the octave system, and the reverse — processes which he called octavation and decimation, respectively.

   1956, Hugh Jones, edited by Richard Lee Morton, The Present State of Virginia, page 37