Relationship of Music and Mathematics 
.... century, mathematical thinking has pervaded much musical thought, such as that of Schoenberg, with his serial system for manipulating the
twelve tones of the ....
(1914
8
)
Jazz & Classical Music
.... Siepmann, 1987: 194). The
twelve tones are used to create functional tonality as a means of expressing music. Jazz, in contrast, is ....
(972
4
)
Paris and Vienna as Cultural Centers
.... Instead of using a central tonality, Schoenberg sought a new way of composing in which each of the
twelve tones of the chromatic scale received equal importance ....
(10416
42
)
The music of the spheres in Pythagorean philosophy
.... the farther ones were believed to move faster and so give higher
tones. .... astronomy recognizes five traditional relationships based on the
twelve divisions of ....
(1330
5
)
Pythagorean philosophy
.... the farther ones were believed to move faster and so give higher
tones. .... astronomy recognizes five traditional relationships based on the
twelve divisions of ....
(1330
5
)
Romanticism in western music
.... On the other hand, atonality, the exploration of the full 12
tones of the .... music; Cohn describes this new movement in musical composition:
Twelve-tone technique ....
(2559
10
)
Alcohol Abuse
.... Services, such as Bill Wilson's 1955 pamphlet on AA's "
Twelve Traditions, evoked .... targeted toward alcoholism or a myriad of other problems, which
tones down the ....
(2118
8
)
Young Adult Fiction Writer Natalie Babbitt
.... in his first name as a comic device as she recalls the
Twelve Labors of .... 1982), yet here as well Babbitt shows the ability to mix opposing
tones, the comic and ....
(2304
9
)
Sally Mann
.... poses, emotional distance, and revealing light of the At
twelve (1988) photographs .... The soft
tones, resembling those of a superbly managed graphite drawing, seem ....
(5939
24
)
Vladimir Nabokov's Lolita
.... the affair between a middle-aged sexual pervert and a
twelve-year-old .... who found the book praiseworthy offered such praise couched in overall condemning
tones. ....
(2122
8
)
Art Nouveau
.... Half-
tones and textures were suggested by cross-hatching and stippling. .... were some of the finest examples of the Nouveau style, "The
twelve windows represent in ....
(1525
6
)
Art & Artists
.... minor, pentatonic, chromatic, whole-tone, and
twelve-tone, each found within the compass of an octave. Harmony refers to the relationship of
tones within a ....
(5378
22
)
The Smell of Summer
.... could not always have been shining I cannot picture these
twelve miles any .... he is simply too annoying in his mannerisms, appearance, vocal
tones, and general ....
(6746
27
)
SUMMARY OF A CASE FILE
.... Elizabeth's mother had her first child at age
twelve; she has had a number of male live-in .... A Sweep Hearing Test revealed normal acuity for pure
tones. ....
(2840
11
)
Views of Iran & the Iranian Revolution
.... News From Islam" (January 30, 1980: A 26), reported (in hopeful
tones that proved .... which have shaped American international relations for all but
twelve of the ....
(5791
23
)
