Home > Simultaneity

• In mathematics, a system of equations or a set of simultaneous equations share variables; a solution is a set of variable values for which all these equations are satisfied simultaneously.

• In music a simultaneity is more than one complete musical texture occurring at the same time, rather than in succession. This first appeared in the music of Charles Ives, and is common in the music of Conlon Nancarrow, and others. A pitch simultaneity is also more than one pitch or pitch class all of which occur at the same time, or simultaneously. Simultaneity is a more general term than chord: most chord progressions or harmonicThis article is about musical harmony. For other uses of the term, see Harmony (disambiguation) . Harmony is the art of using pitch simultaneity (or chords, actual or implied) in music. It is sometimes referred to as the "vertical" aspect of music, with m progressions are then simultaneity successionIn music and music theory a simultaneity succession a series of different groups of pitches or pitch classes, each of which is played at the same as the other pitches of its group. Thus, a simultaneity succession is a succession of simultaneities. Simultas, though not all simultaneity successions are harmonic progressions and not all simultaneities are chords.

• In modern physics two events may be simultaneous with respect to a time event as follows:

A central event (0,0) is used to anchor a spacetime plane {(x,t) in RxR} = ST where x measures distance in units of 30 centimeters and t measures time in nanoseconds. Space events satisfy |x| > |t| and the time events satisfy |x| < |t|. Now a space event e is simultaneous with the origin (0,0), with respect to a time event z , if e and z are hyperbolic-orthogonalIn mathematics, two points in the Cartesian plane are hyperbolically orthogonal if the slopes of their rays from the origin are reciprocal to one another. If the points are (x,y) and (u,v), then they are hyperbolically orthogonal if :y/x u/v. Using comple points in ST. Two events g and h in ST are simultaneous with respect to z if their difference g - h in ST is hyperbolic-orthogonal to z.

1 External link

• Simultaneity in Music by Robert Iolini. Extract from a Master of Arts thesis entitled Simultaneity in Music. Macquarie University. Sydney. Australia. February 1998.

2 See also

• EquationAlgebra This article is about equations in mathematics. For equations in chemistry, see chemical equation. In mathematics, one often (not quite always) distinguishes between an identity which is an assertion that two expressions are equal regardless of th
• RelativitySpecial relativity (SR or the special theory of relativity is the physical theory published in 1905 by Albert Einstein. It replaced Newtonian notions of space and time, and incorporated electromagnetism as represented by Maxwell's equations. The theory is of simultaneity
• SynchronizationSynchronization is coordination with respect to time. It is an important concept in the following fields: Computer science Physics Telecommunication Cryptography Multimedia Photography Music ( rhythm) Synchronization has several subtly distinct sub-concep
• Musical set theoryMusical set theory is a post-tonal method of analysis and composition which is based on explaining and proving musical phenomena, taken as "sets" and subsets, using mathematical rules and notation. Mathematical set theory and musical set theory Although m