The Answer; or, TL;DR
The Whole-Tone Scale is the structural glue that holds together the Simpsons's Theme.
The Main Theme is fundamentally in Major, but avoids scale degree 4 in favor of #4, which serves as a chromatic lower neighbor to 5 and lends cohesiveness to the whole-tone glue. A true Lydian piece would avoid 5-1 relationships, which detract from the Lydian sound and reinforce Major.
Supporting Analysis
The "Main Theme" rests on a tritone bass.
X:1
T:Theme from "The Simpsons"
T:Main Theme
K:none
M:4/4
L:1/8
V:V1 clef=treble
V:V2 clef=bass middle=D
%%score {V1 | V2}
[V:V1]c3 e z ^f z a | g3 e z c z A | ^F^F^FG
[V:V2][Cc] z z [^F,^F] z2 z2 | [Cc] z z [^F,^F] z2 z2 | [Cc] z z [^F,^F]
The "interludes" between verses are transpositions of an augmented sixth chord (Fr+6), which can be found in the whole-tone scale:
X: 1
T: Theme from "The Simpsons"
T: Model Interlude
K: none
M: 4/4
L: 1/8
%%score {V1 | V2}
V:V1 clef=treble
V:V2 clef=bass middle=D
[V:V1] z [CE^F^A][CE^F^A] z [CE^F^A][CE^F^A] z [CE^F^A]|[CE^F^A] z [CE^F^A][CE^F^A] z [CE^F^A]z[CE^F^A] :|]
[V:V2] [C,C] z z [^F,,^F,] z z [C,C] z | z [^F,,^F,] z z [C,C] z [^F,,^F,] z :|]
The sequences modulating and/or establishing new pitch centers either emphasize the major third...
X: 1
T: Theme from "The Simpsons"
T: Modulation #1
K: none
M: 4/4
L: 1/8
z"_+"^F^F^F "_*"G"_+"^A-A2 | "_*"B2
...or are whole-tone based.
X: 1
T: Theme from "The Simpsons"
T: Modulation #2
K: none
M: 4/4
L: 1/16
"_5"c_B_A_G _B_A_G_F ^G^FED ^FEDC | "_1"F4
How it all works
NOTE: This is based on the below recording, which is easier to hear, since there are no added sound effects as in the Season One Theme.
- [0:00] Introduction
- [0:44] Begin in C Major
- [0:52] Modulation #1: to B Major (reinforced by Modulation #2)
- [1:04] Modulation #2: to E Major (with whole-tone scales and tritone relationships throughout). Note that while in E Major, the #4 at the end of the theme never resolves to 5. Rather, it remains and is decorated with tritones and whole-tone scales outlining tritones.
- [1:27] Modulation #2 (variation): to C Major
- [1:38] Direct modulation to B Major (here the orchestration makes use of the saxophone "interruption" to simply resume in B major without an explicit transition).
- [1:46] Modulation #3: again to C Major (not notated here, but this transition is accomplished in part by using a variation on a segment of the main theme:
F-F#-B-A
, containing three whole-tone-scale-related pitches. This allows for the re-establishment of B as leading tone rather than tonic.
- [1:54] Modulation #4: to Eb Major (again not notated here, the violins merge two whole-tone scales by outlining
C-D-E-F#-(G-A)-A#/Bb-A-G-F-Eb
).
- [2:01] Modulation #2: To Db Major
Reference recording
"THE SIMPSONS by Danny Elfman [Hollywood in Vienna 2017]"
THE SIMPSONS composed by Danny Elfman, conducted by John Mauceri, performed by the ORF Radio-Symphonieorchester Wien with the Philharmonia Chor Wien at Hollywood in Vienna 2017