“best of gershwin”
TRANSCRIPT
![Page 1: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/1.jpg)
“Best of Gershwin”
https://www.youtube.com/watch?v=5cLZBeQEqq8
8:00 – 12:08 14:58 – 16:10
23:49 – 24:52 32:28 – 34:24
51:36 – 54:37
![Page 2: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/2.jpg)
The Beauty of Mathematics in
Gershwin’s Classical Jazz
AMATYC 2015
New Orleans “City of Jazz”
S074 - Rhythm II
Paula Wilhite
![Page 3: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/3.jpg)
George Gershwin (Jacob Gershvin)
Born: September 26, 1898
Brooklyn, New York
Died: July 11, 1937
Hollywood, California
![Page 4: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/4.jpg)
George Gershwin “Rhapsody in Blue”
https://www.youtube.com/watch?v=eFHdRkeEnpM
0:00 – 2:30
![Page 5: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/5.jpg)
Musical Preparation
Gershwin first piano - 1910
Charles Hambitzer – Classical piano teacher
Edward Kilenyi – Musical theory teacher
Joseph Schillinger – Mathematical System of Composition Instructor
![Page 6: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/6.jpg)
Famous Musical Compositions “Swanee” 1918
“Rhapsody in Blue” 1924
“Concerto in F” 1925
“An American in Paris”
1928
“I’ve Got Rhythm” 1930
![Page 7: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/7.jpg)
Famous Broadway Shows Oh, Kay! 1927
Strike Up the Band 1930
Girl Crazy 1930
Of Thee I Sing 1931
Porgy and Bess 1935
![Page 8: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/8.jpg)
Time
July 20, 1925
The first American composer to reach
this notoriety.
![Page 9: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/9.jpg)
Impact of Gershwin’s Life Popularized musical jazz compositions
Wrote over 12 Broadway shows
Congressional Gold Medal – 1985
Pulitzer Prize Awarded Posthumously – 1998
The George and Ira Gershwin Lifetime Musical Achievement Award
![Page 10: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/10.jpg)
Gershwin & Rolling Stone
“Someone to Watch Over Me” Sting
“Summertime” Ella Fitzgerald
“S Wonderful” Diana Krall
“Embraceable You” Nat King Cole
“They Can’t Take That Away Rob Stewart & From Me” Michael Buble
![Page 11: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/11.jpg)
Nat King Cole “Embraceable You”
https://www.youtube.com/watch?v=Eo5X54WXvNM&list=RDCbTcBGPeIrE&index=4
0:00 – 0:40
![Page 12: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/12.jpg)
Ella Fitzgerald “Summertime”
https://www.youtube.com/watch?v=XivELBdxVRM
0:00 – 0:45
![Page 13: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/13.jpg)
Sting “Someone To Watch Over Me”
https://www.youtube.com/watch?v=v19QY6natR4
1:10 – 1:34
![Page 14: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/14.jpg)
Diana Krall “S Wonderful”
https://www.youtube.com/watch?v=P1s6Fc0E9oc
0:38 – 1:21 Short version
![Page 15: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/15.jpg)
Rod Stewart & Michael Buble “They Can’t Take That Away From Me”
https://www.youtube.com/watch?v=EPdnWa4PNTs
0:08 – 0:48
![Page 16: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/16.jpg)
George Gershwin “I’ve Got Rhythm”
https://www.youtube.com/watch?v=1bKstQNsQKc
0:00 – 1:52
![Page 17: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/17.jpg)
George Gershwin “Variations on I’ve Got Rhythm”
![Page 18: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/18.jpg)
Schillinger System of Musical Composition
I. Rhythmic and Melodic Design Permutation; Coordination Time Structures;
Geometrical Projections
II. Pitch-Organization
III. Elaboration of a Melodic Line
![Page 19: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/19.jpg)
George Gershwin “Variations on I’ve Got Rhythm”
https://www.youtube.com/watch?v=mR5Uy8hU1iE
0:20 – 0:29
![Page 20: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/20.jpg)
Gershwin’s Variations on “I Got Rhythm”
Expansion of Initial Motive
mm. # coefficient
1-2 1
3-4 2 Whole-tone color
5-6 3 Octatonic color
7-8 5 Chromatic Element
1st int. 2nd int. 3rd int.
2 3 2
4 6 4
6 9 6
10 15 10
![Page 21: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/21.jpg)
![Page 22: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/22.jpg)
Allusions to Scales by Geometric Expansion
![Page 23: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/23.jpg)
Porgy and Bess, Act II, Scene 3 Systematic Geometric Expansion
![Page 24: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/24.jpg)
Porgy and Bess “Act III Scene 3 Introduction”
https://www.youtube.com/watch?v=1YGavxuQlOY 0:00 – 1:20
![Page 25: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/25.jpg)
Geometrical Inversion
of a Melody A
Retrograde Inversion
Retrograde Inversion
![Page 26: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/26.jpg)
Melody Line Constructed From Geometric Projections of Melody A
![Page 27: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/27.jpg)
Motives Porgy & Bess
< P, I(P) >
![Page 28: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/28.jpg)
Motives a, b, c, d, e
![Page 29: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/29.jpg)
Motives Porgy & Bess Act III Scene 3
![Page 30: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/30.jpg)
R 125 3 – 5 < a, b, c > R 126 1 – 2 < I(a), I(b), c > R 126 3 – 5 < a, b > R 126 6 - R 127 1 < I(b), I(a) > R 127 2-3 < a, b >
![Page 31: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/31.jpg)
Schillinger’s Techniques Porgy and Bess Act III Scene 3
![Page 32: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/32.jpg)
Schillinger’s Techniques Porgy and Bess Act III Scene 3
![Page 33: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/33.jpg)
The Beauty of Mathematics in
Gershwin’s Classical Jazz
Jazz It Up at AMATYC 2015!
Paula A. Wilhite, Ed.D. Professor of Mathematics Division Chair Math, Physics, Eng Northeast Texas Community College
![Page 34: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/34.jpg)
![Page 35: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/35.jpg)
Works Cited Feinstein, Michael, Jackman, Ian. The Gershwins and
me: a personal history in twelve songs. Simon &
Schuster. NY 2012.
Levinson, Ilya. What the Triangles Have Told Me:
Manifestations of The Schillinger System of Musical
Composition in George Gershwin’s Porgy and Bess. University
of Chicago. 1997.
![Page 36: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/36.jpg)
Works Cited
Muth, Lisa K. “The Schillinger System: Mathematics, or
Music?” www.conn8diva.net/lkm/schillinger.pd
Nauert, Paul. “Theory and Practice in Porgy and Bess: The
Gershwin-Schillinger Connection”. The Musical Quarterly.
Vol 78. No 1. pp. 9 – 33.
Pollack, Howard. George Gershwin. University of
California Press. 2006.
Rimler, Walter. George Gershwin: an intimate portrait.
University of Illinois, 2009.
![Page 37: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/37.jpg)
Works Cited
Schneider, Wayne, J. The Gershwin Style: new looks at
the Music of George Gershwin. Oxford University
Press. 1999.
Schwartz, Charles. Gershwin: His Life and His Music.
Da Capo Inc. 1979.
Wyatt, Robert, Andrew, John. The George Gershwin Reader.
Oxford Press University. 2004.
![Page 38: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/38.jpg)
Works Cited http://gershwin.com/gershwin-timeline/
http://nationalhumanitiescenter.org/tserve/freedom/1917beyond/essays/jazz.htm
https://songbook1.wordpress.com/fx/si/sw/composers-and-lyricists/george-gershwin/george-gershwin-biography/
![Page 39: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/39.jpg)
Music Downloaded Best of Gershwin
https://www.youtube.com/watch?v=5cLZBeQEqq8
“Embraceable You”
https://www.youtube.com/watch?v=Eo5X54WXvNM&list=RDCbTcBGPeIrE&index=4
“I’ve Got Rhythm”
https://www.youtube.com/watch?v=1bKstQNsQKc
“Rhapsody in Blue”
https://www.youtube.com/watch?v=eFHdRkeEnpM
![Page 40: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/40.jpg)
Music Downloaded “S Wonderful”
https://www.youtube.com/watch?v=P1s6Fc0E9oc
“Someone to Watch Over Me”
https://www.youtube.com/watch?v=v19QY6natR4
“Summertime”
https://www.youtube.com/watch?v=XivELBdxVRM
“They Can’t Take That Away From Me”
https://www.youtube.com/watch?v=EPdnWa4PNTs
![Page 41: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/41.jpg)
Music Downloaded Porgy & Bess “Act III Scene 3 Introduction”
https://www.youtube.com/watch?v=1YGavxuQlOY
“Variations on I’ve Got Rhythm”
https://www.youtube.com/watch?v=mR5Uy8hU1iE
![Page 42: “Best of Gershwin”](https://reader031.vdocuments.site/reader031/viewer/2022012320/5851523a1a28abfa398c16dd/html5/thumbnails/42.jpg)