chromatic scale

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Related to Total chromatic: Graph coloring, Four color theorem

chromatic scale,

in music: see scalescale,
in music, any series of tones arranged in a step-by-step rising or falling order of pitch. A scale defines the interval relationship of each tone to the others upon which the composition depends.
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The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Chromatic Scale

 

the scale of 12 semitones. The chromatic scale is regarded as a major or minor scale of passing semitones; hence the rules governing its notation: all diatonic degrees must be notated without enharmonic substitutions. In the major mode, diatonic degrees are indicated in ascending by augmenting the notes of the diatonic scale, except that a diminished seventh is used instead of an augmented sixth. In descending, the notes of the diatonic scale are diminished, except that an augmented fourth is used instead of a diminished fifth. In the minor mode, the notation of the relative major is used in ascending, and that of the major of the same name is used in descending.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.

chromatic scale

Music a twelve-note scale including all the semitones of the octave
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
References in periodicals archive ?
The hunting of a snark with total chromatic number 5.
Comparison of total chromatic dispersion of parabolic index profile fibers with different core radii defined in two ways: (a) effective propagation coefficient [n.sub.eff] = [beta]/[k.sub.0] for the corresponding fibers; (b) waveguide, [D.sub.w], and material, [D.sub.m], dispersion curves; (c) D defined using Equation (2) and (d) as the sum of waveguide and material dispersion [D.sub.w] + [D.sub.m].
Difference between the total chromatic dispersion defined using Equation (2) and as the sum of waveguide and material dispersion [D.sub.w] + [D.sub.m]: (a) step index fiber; (b) parabolic index fiber with different core radii.
The minimum number k such that G has a k-VDTC is called the vertex-distinguishing total chromatic number, denoted by [[chi].sub.vt](G) [24].
In this paper, we study the general vertex-distinguishing total coloring of some special classes of graphs and obtain the exact value of the general vertex-distinguishing total chromatic number of these graphs.
We first present a trivial lower bound on the general vertex-distinguishing total chromatic number of a graph.
We now turn to investigating the general vertex-distinguishing total chromatic number of an n-vertex path.
In the following (Theorem 7 to Theorem 9), we discuss the general vertex-distinguishing total chromatic number of some kinds of special trees.
In the following, we present a trivial upper bound of the general vertex-distinguishing total chromatic number of the join graph of two graphs.
In addition, there is a very interesting observation about the general vertex-distinguishing total chromatic number.