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Cello melodic/harmonic pedal (color) - sounding pitches * length of 5 notes
&
œ
œ
#œ
œ
0 4 2 A subset of WT(0,2) [mode 1]
œ.
&˙
bœ
6
˙
10
˙
œ œ œ. J J
œ œ œ œ œ. J J J J
œ œ ˙ J J
Rhythmic pedal (talea) *15 values appears 7 times (with the beginning of an 8th time) * The color above appears 3 times for each repetition of the talea (3C=1T) or nearly 22 times in the movement.
ISORYTHMIC DESIGN OF CELLO/PIANO PARTS IN "LITURGIE DE CRYSTAL"
rhythmic pedal (talea) 0f 17 values: * (deçi-tâlas from the Sangitaratnakara) * Occurs nearly 10 times throughout the mvmnt.
㠜
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œ
œ œ. J J
œ œ œ œ œ. J J J J J
First 6 values -- retrograde of râgavardhana
œ. J
œ. J
Next 7 values -- candrakalâ
Melodic/Harmonic pedal (color) of 29 harmonies * Occurs nearly 6 times throughout the movement.
œ œ œ. RJ J
œ
˙
Final four values -- laksmîça
œœ b b œœ b œœ b bb œœœ b œœœ b b b œœœ b œœ œ œ # œœ b œœ œ œ œ # œ œ œ œ œ œ œ b œ b œ œ œ b œ œœ # œœ b œœ œ b œ œœ # œœ # œœœ œœ b œ œ # œ b œ œœ b œœ &b œœ b œœ b œœ b œœœ # œœœ œœœ # œœ œœ # œ œ b œ œ b œ b œ non-modal. The 2nd chord is a chord on the dominant that uses all of the pitches of the Bb major scale. Messiaen retains an F (the dominant) in the bass as a pedal tone, coloring the chord with different harmonies to create what he called a "stained glass window" effect.
œ œ b œ b œ œ œ œœ œœ b œ ?b œœœ b œœœ b b œœœ b b œœœ bœœœ bœœœ œœ œœ b œœ
b œ œœ b œ b œ bœ bœ b œ œœ b œœ # œœ b bb œœœ œœœ b œ b œ # œœœœ b ##œœœœ œœœ b # œœœ œœ # œ œ œ bœ œ œ œ œ
*** notes are natural unless preceded by a sharp or flat **** Note the use of prime numbers in the construction of the rhythmic pedals (talea) and the medlodic/harmonic pedals (color) -- 17, 29, 5... It would take over 230 minutes for these to sync up again once initiated.
œœ b œœ
œœ œ œ bœ #œ
2 7 modes of limited transposition
&
mode 1 (whole-tone scale)
œ
2
œ
2
œ
2
#œ
#œ
#œ
2
mode 2 (octatonic scale)
2
œ bœ bœ nœ #œ
(2)
1
mode 4
mode 5
& œ bœ œ œ #œ œ #œ œ 3
1
1
1
3
1 (1)
& œ #œ 1
1
œ
œ
œ 2
1
2
1
2
1 (2)
œ
4
œ
œ
1
1
4
1
œ
#œ
(1)
1
1
1
œ
#œ
#œ 2
1
2 1 1
2
mode 6
œ
#œ
#œ
œ #œ #œ œ œ œ bœ nœ #œ 1
1
2
1 (1)
4 possible transpositions 31, 32, 33, 34
6 possible transpositions 51, 52, 53, 55, 55, 56
6 possible transpositions 41, 42, 43, 45, 45, 46 mode 7
1
œ
3 possible transpositions: OCT(0,1) -- OCT(1,2) -- OCT(0,2)
2 possible transpositions: WT(0,2) and WT(1,3)
1
2
mode 3
œ bœ
(1)
6 possible transpositions 71, 72, 73, 75, 75, 76
to figure out the number of possible transpositions: * subtract pitch class value of first pitch of the second repetition of the recurring figure from the first pitch of the first occurance of the recurring figure. * The difference is equal to the number of possible transpositions.
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2
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2
œ
œ
œ #œ #œ #œ 1
1
2
6 possible transpositions 61, 62, 63, 65, 65, 66
2
1
(1)
Special Chords in Messiaen's Music
# # œœ & nœ & n # œœ # n œœ
# # œœ
Chord on the dominant with appoggiatura (as in 1st 2 chords of the piano in QFTEOT)
# # n n œœœœ bœ n n n œœœ
3
nœ n # œœ n bn œœœ
Chord of resonance Chord in Fourths * Messiaen believed this chord * This is the "triad" in Messiaen's to be a colorful representative music. of the harmonic series. * Contains all of the pitches of the 3rd mode. * Opening gesture of piano in the second movement of QFTEOF is a version of this chord.
# # # ## œœœœœ
n bn œœœ b œ
# # # œœœœ
respelled/revoiced:
Chords with added 6ths * Stole these from Debussy and Ravel * Boulez called these: "whorehouse chords" * This chord from #1 of the Vingt Régards.
Chords with added rasied fourths * This chord taken from # 11 of Vingt Régards. * Messiaen believed that the tritone above the root of a chord had a strong "leading-tone" like function. * This chord is derived from the 2nd mode.