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Chromatic scale
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==Notation== [[File:Pitch class space star.svg|thumb|The [[circle of fifths]] drawn within the chromatic circle as a [[star polygon|star]] [[dodecagram]].<ref>{{cite journal|last=McCartin|first=Brian J.|date=November 1998|title=Prelude to Musical Geometry|journal=[[The College Mathematics Journal]]|volume=29|issue=5|pages=354β370 (364)|doi=10.1080/07468342.1998.11973971 |jstor=2687250}}</ref>]] The chromatic scale has no set [[enharmonic spelling]] that is always used. Its spelling is, however, often dependent upon [[Major and minor|major or minor]] key signatures and whether the scale is ascending or descending. In general, the chromatic scale is usually notated with [[Sharp (music)|sharp signs]] when ascending and [[Flat (music)|flat signs]] when descending. It is also notated so that no [[Degree (music)|scale degree]] is used more than twice in succession (for instance, G{{music|flat}} β G{{music|natural}} β G{{music|sharp}}). Similarly, some notes of the chromatic scale have enharmonic equivalents in [[solfege]]. The rising scale is Do, Di, Re, Ri, Mi, Fa, Fi, Sol, Si, La, Li, Ti and the descending is Ti, Te/Ta, La, Le/Lo, Sol, Se, Fa, Mi, Me/Ma, Re, Ra, Do, However, once 0 is given to a note, due to [[octave equivalence]], the chromatic scale may be indicated unambiguously by the numbers 0-11 [[modular arithmetic|mod twelve]]. Thus two perfect fifths are 0-7-2. [[Tone row]]s, orderings used in the [[twelve-tone technique]], are often considered this way due to the increased ease of comparing inverse intervals and forms ([[inversional equivalence]]).
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