Download - The Harmonic & Melodic Language in Alexander Scriabin's Sonata No. 5, Op. 53

The Harmonic and Melodic Language in

Alexander Scriabin's Sonata No. 5, Op. 53

Steven Zydek

Music Theory II – MUSI 3500

Dr. Janners

4/28/2010

1

Through the progression of Alexander Scriabin's (b. 1872) ten piano sonatas (completed between 1892

and 1913), we hear this Russian Composer's movement from Romantic, Chopin-esque influences to a highly

developed individualized compositional style. In making this progression, there is no doubt among scholars that

Scriabin's own developing Theosophical beliefs were a major influence.1 Another influencing factor may have

been related to Scriabin's own admission of experiencing synesthesia in how he supposedly "heard colors" and

even related the sonorities of different musical keys to certain color hues.2 Regardless of the influences, it's

apparent that during the time that Scriabin composed his sonatas, Sonata No. 5, Op. 53 (1907) represents a

turning point in which he made a significant shift away from traditional functional harmony toward a harmonic

language all of his own. This paper will look at the main themes in Sonata No. 5 and attempt to analyze the

melodic and harmonic framework of Scriabin's emerging musical language. When discussing pitch collections

and class sets, Allen Forte’s set names will be used as much as possible to help relate sets to one another.3

Prior to doing any melodic or harmonic analysis, it will be important to understand the overall formal

structure of this sonata. Table 1 in the Appendix outlines the overall structure and will be referenced when

discussing specific thematic material. Written as one movement, the entire sonata is ordered according to the

traditional formal sections of exposition, development and recapitulation with an introduction and coda, as

shown in the Formal Section column of Table 1.

After a brief excerpt of verses from his “Poem of Ecstasy,” Scriabin’s Sonata No. 5 opens with a quick

introductory theme (Intro Th. A). We see that the opening has an expressive tempo marking (“Allegro.

Impetuoso. Con stravaganza.”) and a key signature (F# major) that eventually raises some curiosity.4 The key

signature is curious in that it soon becomes apparent that Scriabin is not operating within the traditional

framework of F# major (or D# minor) diatonic harmony. A superficial, yet telling sign of this can be seen in that

although the key signature signifies six sharps, pitches E# and A# are consistently marked with natural

accidentals throughout the introduction. Thus, if a major or minor harmonic framework were employed, it

would more likely be that of E major.

1 Barany-Schlauch, Elizabeth Anna. "Alexander Scriabin's Ten Piano Sonatas: Their Philosophical Meaning and Its

Musical Expression." (Ph.D., diss., Ohio State University, 1985), 13-14.

2 Vanechkina, B. M. Galeyev, and I. L. Vanechkina. "Was Scriabin a Synesthete?" Leonardo. 34, no. 4 (2001), 357-

361.

3 Forte, Allen. The Structure of Atonal Music. New Haven: Yale, 1973.

4 Scriabin, Alexander. Alexander Scriabin: Selected Piano Works. Edited by Günter Philipp. Vol. 5. Leipzig: Edition

Peters, 1971.

2

Pitches D# and A natural, a tritone interval, play a significant role in establishing the tonal framework

with their frequent occurrence as the lowest pitches in the bass tremolo figure, yet no traditional cadences or

dominant functions resolve to tonic chords based on these pitches. E major doesn’t help much in explaining the

harmonic structure other than by perhaps perceiving the D# as a sort of leading tone to E (tonic) and the

prominent use of A as being the subdominant. Instead, the melodic figures and harmonic structures in the

introduction, and throughout the entire sonata as we’ll see, are better explained as working within certain pitch

class sets. The entire Intro Th. A is based on the pitch class sets shown in the following table:

Intro Th. A – Pitch Class Sets

Desc. / Forte Number (measures)

Normal Ordered Pitch Collection Normal (Reduced) Form / Prime Form

Together pcset 7-35 (mm. 1-12)

(D#,E,F#,G#,A,B,C#) (0,1,3,5,6,8,10) / (0,1,3,5,6,8,10)

Bass Tremelo Figure pcset 3-5

(D#,E,A) (0,1,6) / (0,1,6)

Glissando Pentachord 1 / pcset 5-24

(D#,E,A,B,C#) (0,1,6,8,10) / (0,1,3,5,7)

Glissando Pentachord 2 / pcset 5-27

(G#,A,C#,E,F#) (0,1,5,8,10) / (0,1,3,5,8)

In looking at the pitch collections (pcset 7-35 contains the entire pitch collection for Intro Th. A), it’s

confirmed that all the pitches together form a heptatonic scale that correlates exactly to E major. With D#

having a strong presence in the lower voice, the usage might be thought to be tied to the Locrian mode, yet with

a lack of a real resolution to D#, this correlation is not convincing. Instead it might be better to think of the D# as

continually leading to the trilled E as to reinforce E as the tonal center for this part of the intro.

The Tremelo Bass figure is based on a tritone (diminished fifth) relationship between D# and A with an E

(perfect fifth above A) which creates a quintal figure (Q) and is used when the glissandos are sounded in the

upper voice (right hand part). Interestingly, this pitch class set (0,1,6) or pcset 3-5 was favored by other modern,

20th century composers such as Arnold Schoenberg and Anton Webern to create dissonance and was even

referred to as the Viennese Trichord, referring to the Second Viennese School.5 This dissonance helps reinforce

the frenetic nature of the introductory theme.

Both glissandos in the upper voice are based on pentatonic sets or pentachords. The first glissando

contains pitches E,A,B,C#,D# (pcset 5-24) and the second glissando figure contains A,C#,E,F#,G# (pcset 5-27),

5 Martin, Henry. "Seven Steps to Heaven: A Species Approach to Twentieth-Century Analysis and Composition."

Perspectives of New Music 38, no. 1 (Winter, 2000), 149,154.

3

which are important to this sonata as we shall see later. When we put these pitches together, it’s clear that the

motivic figures (Glissando Pentachords 1 & 2) together themselves are derived exactly from the E major scale.

When considering the downbeats of these two angular motives, there does appear to be an implicit circle of

fourth/fifth relationship between them with the D# from the lower voice (left hand part) leading to the E in

Glissando Pentachord 1. It should also be noted that the (0,1,6) set (pcset 3-5) is part of Pentachord 1. The circle

of fourth/fifth relationship between the downbeats of these figures helps build tonal connectivity amidst the

dissonance created by the (0,1,6) pitch class set in the lower voice. This point is reinforced by the fact that no D#

exists during the instances of Pentachord 2, as can be seen at the second beat of measure 7 and similarly in later

measures. While Baker similarly accounts for a V-I relationship in E major (or V6/5/V-V-I in A major)6, Wise

correctly emphasizes that the key center is not clear.7

All of this gives a good introduction not only to the sonata, but also to Scriabin’s own emerging

harmonic language by intermingling traditional relationships (i.e., loose circle progressions & leading tones) with

new ones (i.e., the steady (0,1,6) pitch class set and unusual key signature usage). The introduction ends

suddenly in a measure of silence at m. 12 as if the two figures were chasing each other around and suddenly ran

out of breath.

Marked “Languido”, the Intro Theme Group B begins at m. 13 and ends at m. 46. It evokes an open,

lethargic feeling of desperation for some seemingly, unreachable goal. When considering the harmonic nature of

this theme group, we can see how this material is connected to Group A, and how the open sound is

maintained. Measures 13-18 are linked to m. 11 of Group A with the consistent presence of E natural in the

lower voice and the presence of D# and G# in the upper voice, and work within the following pitch class sets:

Intro Th. B – Pitch Class Sets

Set / Subset Name Normal Ordered Pitch Collection

Normal (Reduced) Form / Prime Form (if applicable)


(D#,E,F#,G#,A#) (0,1,3,5,7)

Together pcset 6-Z26 (mm. 13-18)

(D#,E,F#,G#,A#,B) Pcset 5-24 now includes “B”

(0,1,3,5,7,8)

Melodic Motive pcset 3-7 (mm. 13-14)

(D#,F#,G#) (0,3,5) / (0,2,5)

6 Baker, James M. The Music of Alexander Scriabin. (New Haven and London: Yale University Press, 1986), 175.

7 Wise, Herbert Harold, Jr. "The Relationship of Pitch Sets to Formal Structure in the Last Six Piano Sonatas of

Scriabin." (Ph.D. diss., University of Rochester, 1987), 127.

4

It should be noted that though a B natural is not sounded until m. 18, pcset 5-24 contains pitches

derived from the B Major scale, lacking the second scale degree (C#), which aligns it with the prime form of the

pcset for Glissando Pentachord 1 (0,1,3,5,7) or pcset 5-24. This shows an intervallic connection through

inversion to Intro Th. A, and proves to be an important set throughout Intro Th. B.

The pitches from the main two-bar phrase used to open the theme might be considered as being

derived from a dominant F#13th chord (mm. 13-14) with the D# doubled an octave apart in the upper voice and

an A# as the lowest pitch (m. 14). With this, as with the introductory material for Group A, we can see that the

harmonic arrangement of Intro Th. B is by no means traditional, especially given the strong presence of a tritone

(E-A#) in the lower voice and an extended dominant chord as tonic. The B natural sounded in the upper voice of

m. 18 hints at resolving the F#9 chord of m. 17, but suddenly slips into a chromatic ascension (B#-D) in m. 19,

which then leaps a tritone interval to a G# sounded in the upper voice an octave higher than the G# already

sounded below. To stress this chromatic tension, a descending chromatic line is sounded simultaneously in the

lower voice beginning in m. 18 from D#-B# (m.20). Together, these chromatic lines create a sense of

“unraveling”, as if the two chromatic lines were literally pulling away at each other, rather than leading to any

sense of harmonic resolution. Aside from the short chromatic line in the lower voice (which includes a C# that

aligns with the upper voice an octave higher and is repeated in mm. 23-24), mm. 19-25 reveals an underlying

whole tone scale with the following pitch class set information:

Forte Number (measures) Normal Ordered Pitch Collection


Together pcset 6-35 (mm. 19-25) (A#,B#,D,E,F#,G#) (0,2,4,6,8,10)

We can discern an alternation between two pitch class sets (pcset 5-24 & pcset 6-35) with interwoven

chromatic lines until m. 40, where Scriabin introduces material harmonically derived from a series of three

dominant 13th chords (Hung perceives: Ab13, G13, & C#13)8, though the chords are non-functional and thus do

not resolve to a tonic chord as one might expect in m. 45. Measure 45 instead offers a passage of three triadic

chords in the upper voice (a second inversion B major chord, a second inversion D# major chord and a D# major

chord in root position). This is composed over a bass figure written in hemiola rhythm (with four quarter-notes

against six eighth-notes) as a preview of what’s to come in the formal exposition. Harmonically, the bass figure

provides no traditional support for the upper voice, except that pitches B and D# are also sounded a minor sixth

8 Hung, Chia-Sui. "Tradition and Innovation in Four Piano Sonatas of the First Quarter of the Twentieth Century."

(Ph.D diss., University of Cincinnati, 2003), 16

5

interval apart. All the pitches in m. 45 (A#, B, C#, D#, F#, G#) fit into a C#13th chord9, but since this chord is

followed by a measure of silence with no key center, it’s difficult to recognize a traditional half-cadence and thus

somewhat irrelevant to use the traditional chord references in our analysis. It doesn’t help that to truly be a

dominant C# chord there would technically need to be an E# (major third) present as part of our collection to

complete the basic triadic dimension of the dominant chord. Interestingly, Scriabin has continually marked all

E#s with natural accidentals up this point. Perhaps it’s more meaningful to continue looking directly at tonal

relationships within the pitch collections and see what is emphasized as consonant or dissonant. When we look

at the harmonic material of mm. 40-45 in terms of pcsets, we see the following.

Forte Number (measures)

Normal Ordered Pitch Collection

Normal (Reduced) Form / Prime Form


(Db,Eb,F,Ab,Bb)

(0,2,4,7,9) or (1,3,5,8,10) / (0,2,4,7,9)


(F,G,A,C,D,[E]) T(8) lower than 5-35

(0,2,4,7,9,[11]) or ([0],1,3,5,8,10) / (0,2,4,5,7,9)

Together pcset 6-32 T(6) (mm. 44-45)

(B,C#,D#,F#,G#,[A#]) (0,2,4,7,9,[11]) or ([0],1,3,5,8,10) / (0,2,4,5,7,9)

By these collections, we can see that the pcset 5-35 present in mm. 40-41 basically expands out to a new

pcset 6-32 in mm. 42-43, only transposed a minor sixth (or T(8)) lower. Measures 44-45 contain the same pcset

6-32 transposed a tritone (or T6) higher than the previous occurrence. This analysis approach will become more

important as we analyze the formal exposition. Though it may be noteworthy to see how traditional chord

formations are still present to some degree in this harmonically transitional sonata, pitch class sets are perhaps

more helpful in explaining the procedures Scriabin used to compose this and his later sonatas.

Exposition

The formal exposition begins with a spirited Main Theme 1 which can be broken into two parts: Subject

Group A (Th. 1A) and Subject Group B (Th. 1B). Theme Group A is defined in mm. 47-95. As Hung points out,

Theme Group A can also be broken into three sub-phrases (mm. 47-52, 53-58 and 59-67) with a four beats

against six beats hemiola rhythm occurring in the first and second sub-phrases.10 The sub-phrases are repeated

again in mm. 68-95 and in this instance, the last sub-phrase (mm. 80-95) serves as a transition to Th. 1B. Th. 1B

can be found in mm. 96-119 with transitional material occurring from mm. 114-119.

9 Ibid., 16

10 Ibid., 17

6

If we were to look at the upper voice of the beginning of Main Theme 1 from a perspective of traditional

harmony, we would find different inversions of simple triads moving between B Major, D# Major and G# Minor

in mm. 47-52 and E Major, G# Minor and C# Minor in mm. 53-58. The relationship between these triads can be

heard as traditional harmonic forms given the fact that they come directly from the B Major/G# Natural Minor

diatonic scale. However, when we consider the lower bass figure against these triads, the harmonic dimension is

given a greater depth of tonal color, especially since Scriabin seems to gravitate toward a quintal arrangement

of the lower pitches, which reinforce an open, more ambiguous sound.

The consistent C# sounded as the lowest note gives the tones in mm. 47-52 an extended dominant

quality (specifically, a dominant C#13th (omit 3rd, due to the missing E#) and creates a new tonal center of C#.

With the C# and E (which replaces the previously stated D#) in mm. 53-57, the quintal bass arrangement is

augmented but interestingly this now reinforces an extended C# minor 9th chord.

The harmonic outline in mm. 47-67 is derived from a non-functional progression using subdominants of

F# (mm. 47-52), B (mm. 53-58), E (mm. 59-60), Eb (mm. 61-62), D (mm. 63-64) and N6/V of F# (mm. 65-67).11

Though the harmonic relationships can be explained in this fashion and it is interesting to note how the

progression follows subdominants of keys according to a circle of fourth progression until the subdominant of

Eb, when the progression becomes chromatic, perhaps a more useful explanation can be found when observing

how the tones for each of the sub-phrases fit into pitch class sets, as we’ve done before. We can then more

accurately consider how these sets relate to each other. The following table contains the pitch information for

mm. 47-67.

Main Th. 1A (sub-phrases mm. 47-67) Pitch Class Sets

Desc. / Forte Number (measures) Normal Ordered Pitch Collection


Upper voice pcset 5-27 (mm. 47-52)

(A#,B,D#,F#,G#)

(0,1,5,8,10) / (0,1,3,5,8)

Lower voice pcset 4-22 (B,C#,D#,G#) (0,2,4,9) / (0,2,4,7) /

11

Ibid., 16-17

7

(mm. 47-52) NOTE: C# added, other pitches emphasized


(A#,B,C#,D#,F#,G#) (0,1,3,5,8,10) / (0,2,4,5,7,9)

Upper voice pcset 5-27 T(5) (mm. 53-58)

(D#,E,G#,B,C#) (0,1,5,8,10) / (0,1,3,5,8) Transposed P4

Lower voice pcset 4-26 (mm. 53-58)

(B,C#,E,G#) (0,2,5,9) / (0,3,5,8) Subset of upper voice


(G#,A,C#,E,F#) (0,1,5,8,10) / (0,1,3,5,8)


(A,C#,E) (0,4,7) / (0,3,7) Subset of upper voice (A major triad)


(D,Eb,F,G,Bb,C) (0,1,3,5,8,10) / (0,2,4,5,7,9)

Lower voice pcset 4–20 (mm. 61-62)

(D,Eb,G,Bb) (0,1,5,8) / (0,1,5,8) Subset of upper voice


(F#,G,B,D,E) (0,1,5,8,10) / (0,1,3,5,8) Transposed m7/M2


(G,B,D) (0,4,7) / (0,3,7) Subset of 4-20 in m. 65


(E#,F#,G#,A,B,C#,D) (0,1,3,4,6,8,9) / (0,1,3,4,6,8,9) *(F# harmonic minor)

Voices grouped together every 3 beats – pcsets 4-20 T(4) & 4-19 (mm. 65-67)

(F#,G,B,D) & (G#,A,C#,E#) (0,1,5,8) & (0,1,5,9) / (0,1,5,8) & (0,1,4,8)

By looking at this table, we can see that the pcset 5-27 (0,1,5,8,10) is vital in connecting the harmonic

material for all of the phrases in mm. 47-64. When comparing the sub-phrases, it becomes clear that Scriabin

chose pitches of set intervals and transposed them up a perfect 4th (T(5)) in mm. 53-58 and then from there

another T5 in mm. 59-60. The first five pitches in the pitch class set for mm. 61-62 appear to be derived directly

from the prime set of the previous sub-phrase, which is an inversion of the normal form of pcset 5-27. Measures

63-64 again contain the exact same intervals as the previous sub-phrases, but transposed a Major 2nd lower than

mm. 59-60.

Measures 65-67 link to the second group of sub-phrases using pitches derived from the F# Harmonic

Minor scale. The pitches in the second group of sub-phrases have been ordered into sets in the table below.

Main Th. 1, Group B (sub-phrases mm. 68-79) & Transition (mm. 80-95) Pitch Information

Desc. / Forte Number (measures)

Normal Ordered Pitch Collection Normal (Reduced) Form / Prime Form (if applicable)


(A#,B,D#,F#,G#) (0,1,5,8,10) / (0,1,3,5,8)

Lower voice pcset 4-23 (C#,D#,F#,G#) (0,2,5,7) / (0,2,5,7)

8

(mm. 68-73)


(A#,B,C#,D#,F#,G#) (0,1,3,5,8,10) / (0,2,4,5,7,9)


(D#,E,G#,B,C#) (0,1,5,8,10) / (0,1,3,5,8)

Lower voice pcset 4-23 T(10) (mm. 74-79)

(B,C#,E,F#) (0,2,5,7) / (0,2,5,7)


(D#,E,F#,G#,B,C#) (0,1,3,5,8,10) / (0,2,4,5,7,9)


(G#,A,C#,[D#],E,F#) []=NT

(0,1,5,[7],8,10) / (0,1,3,5,8)


(G#,A,B,C#,[D#],E,F#) []=NT

(0,1,3,5,[7],8,10) / (0,2,4,5,7,9)


(A#,B,D#,[E#],F#,G#) []=NT

(0,1,5,[7],8,10) / (0,1,3,5,8)


(A#,B,C#,D#,E#,F#,G#) (0,1,3,5,7,8,10) / (0,1,3,5,6,8,10) F# Major

Upper voice pcset 5-27 T(4) (mm. 88-91) (-4/m6)

(F#,G,B,D,E) (0,1,5,8,10)


(F#,G,A,B,D,E) (0,1,3,5,8,10) / (0,2,4,5,7,9)


(D,Eb,E,F,F#,G,A,B,C) Increasingly chromatic

(0,1,2,3,4,5,7,9,10) / (0,1,2,3,4,5,7,8,10)


(D,Eb,E,F,F#,G,A,C) Increasingly chromatic

(0,1,2,3,4,5,7,10) / (0,2,3,4,5,6,7,9)

Together pcset 6-32 T(0) (m. 92)

(F#,G,A, B, D, E) (0,1,3,5,8,10) / (0,2,4,5,7,9)

Together pcset 5-34 (m. 93)

Eb,F,G,A,C (0,2,4,6,9)

Together pcset 4–20 (mm. 94-95)

(C#,D,F#,A) “D Maj 7”

(0,1,5,8)

Upon closer analysis of the sets, we can see that the harmonic material making up the second group of

sub-phrases is derived from the same sets as the previous group, only now with increasing number of “passing &

neighbor tones” as depicted with brackets ([]) in the sets. In general, these tones show a tendency toward

chromaticism which is more fully realized if we look at all the pitches together in mm 92-93 before one more

obvious use of a “D Maj 7” subset (pcset 4-20) of pitches from pcset 5-27 in mm. 94-95 before moving to Group

B of Main Theme 1.

The brief Group B of Main Theme 1 (Th. 1B) begins at m. 96 and ends at m. 113. Measures 114-119

serve as a transition to Main Theme 2 (Th. 2), to be discussed next. In m. 96, the upper voice states a memorable

motive which descends by minor sixth intervals (8 half-steps), while the lower voice contains motion in minor

seventh, perfect eighth (octave) and tritone intervals. The minor seventh interval proves to be important

9

throughout Th. 1B, both in this main motive and in the surrounding material, as we shall see. The first statement

of this motive can be seen in mm. 96-97 and is shown below.

Written in 6/8 time, a sparsely written three note figure descends by minor sixth intervals beginning on

the second beat. On the fourth beat, dissonance is created with the clashing notes of a double-sharp-G sounding

against an octave of G# notes in the lowest voice for part of its duration. The tension is released through a half-

step motion in the upper figure after the G-double-sharp is sounded for six beats, half of which are in the next

measure (m. 97) with the entire duration divided by tritone motion in the lower voice (i.e., the upbeat of m.96

to downbeat of m. 97). Measures 100-101 and mm. 104-105 are all related and can be explained with the pitch

class set information in the following table.

PC Sets for main motive of Th. 1B

Desc / Forte Number (measures) Normal Ordered Pitch Collection


Upper voice pcset 4-19 T(1) (mm. 96-97) – relates to mm. 65-67

(GX(A),A#,C#,E#) (0,1,4,8) / (0,1,4,8)


(F#,G#,B#,[C#]) []=“replaced” by B#

(0,2,6,[7]) / (0,2,6)

Together pcset 7-Z37 (mm. 96-97)

(G#,GX(A),A#,B#,[C#],E#,F#) (0,1,2,4,5,9,10) / (0,1,3,4,5,7,8)


(CX(D),D#,F#,A#) (0,1,4,8) / (0,1,4,8)

Lower voice pcset 3-8 T(0) (mm. 100-101)

(F#,G#,B#) (0,2,6) / (0,2,6)


(CX(D),D#,F#,G#,A#,B#) “Mystic Chord Set”

(0,1,4,6,8,10) / (0,1,3,5,7,9)


(D#,E,G,B) (0,1,4,8) / (0,1,4,8)

Lower voice pcset 3-8 T(1) (G,A,C#) (0,2,6) / (0,2,6)

10

(mm. 104-105)


(D#,E,G,A,B,C#) “Mystic Chord Set”

(0,1,4,6,8,10) / (0,1,3,5,7,9)

From this table, we can see the prevalence of the minor sixth interval (0-8) in the upper voice and tritone in the

lower voice (0-6). Another point of interest is the appearance of the pcset 6-34, which includes the pitch

material from Scriabin’s infamous “Mystic Chord”12. When looking at the sets that make up the measures

surrounding the thematic material just described, we can see how they also support the material harmonically.

PC Sets of phrases surrounding the main motive of Th. 1B (described above)



Together pcset 4-25 (mm. 98-99) Fr6 Set

(C,D,[E#],F#,Ab) [] = Tension Creating NT

(0,2,[5],6,8)

Together pcset 5-34 (mm. 102) Dominant-ninth

(D,E,[E#],F#,G#,B) [] = NT

(0,2,[3],4,6,9)

Together pcset 4-24 (m. 103) Augmented 7th

(G#,Bb,C,E) (0,2,4,8)

Together pcset 4-24 T(3) (m. 106 & 108) Fr6

(Db,Eb,[E],[F],G,B) [] = NT & whole tones shift

(0,2,[3],[4],6,10) / (0,2,4,8)

Together pcset 4-25 T(7) (m. 107 & 109) Fr6

(G,A,[B#],C#,Eb) [] = NT

(0,2,[5],6,8)

Together pcset 4-24 T(2) (m. 110) Augmented 7th

(Eb,F,[F#],[G],A,C#) [] = NT

(0,2,[3],[4],6,10) / (0,2,4,8)

Together pcset 4-25 (m. 111) Fr6

(A,B,[D],D#,F) [] = NT

(0,2,[5],6,8)

Together pcset 4-20 (m. 112) Major-seventh

(D,Eb,G,[A],Bb,) [] = NT

(0,1,5,[7],8) / (0,1,5,8)

Together pcset 4-20 T(0) (m. 113-114) Major-seventh

(D, Eb,[F#],G, Bb ) [] = NT

(0,1,[4],5,8) / (0,1,5,8)

Together pcset 5-34 T(8) (mm. 116 -119)

(Bb,C,D,E,[F],[F#],G) (0,2,4,6,[7],[8],9)

Though the material surrounding the main motive of Th. 1B doesn’t have strong motivic or melodic

figures, we can see by set analysis that the tritone, minor sixth & minor seventh intervals continue to play a

strong role in the prevalence of pcsets 4-20, 4-24 & 4-25 (note also that 4-25 contains the pitches of a French

Sixth Chord). When considering the high frequency of even numbers in the sets (odd numbers are typically

neighbor tones in sets with mostly even numbers), it’s clear that Scriabin relied upon Whole Tone scales for

12

Wise, "The Relationship of Pitch Sets to Formal Structure in the Last Six Piano Sonatas of Scriabin,” 146-147

11

tonal structure and added neighbor tones to increase tension. The whole tone scale appears to shift by its

limited transposition a semitone between mm. 103 & 106, coincidentally where a key signature change (to Bb

Major) occurs for the first time in the sonata.

As with the main motive, the adjacent measures, outlined above, also make up one sub-phrase each

(i.e., 98-99 is one sub-phrase just as mm. 96-97 is one sub-phrase). For the sake of realizing the sets more

clearly, they have been separated to draw tonal cohesion, but in reality the paired measures are actually tied

together with the second bars including a direct shift in parallel by different intervals. When looking at an

example sub-phrase more closely, we can see how the tritone and minor sixth intervals work in moving the

piece forward. These same motions exist in mm. 103, 109, & 111 as shown in the example below from m. 106.

The minor seventh interval (0,10) proves to be important in uniting the surrounding phrases just

described with the underlying tonality of the main theme motive (i.e., mm. 96-97). When we trace these

intervals and look vertically for major third intervals amidst the minor seventh interval, we can see that Scriabin

was most likely using non-functional dominant chords to unite this material. From mm. 97-111, we recognize a

series of non-functional dominant chords that move by intervals of Minor sixth, tritone and Perfect fourth:

Progress by Tritone: G#9 (m.97) -> D9 (mm. 98-99) -> G#9 (m. 100-101) Progress by Minor Sixth: (G#9 (m. 100-101)) -> E9 (m. 102) -> C9 (m. 103) -> A9 (m. 104) Progress by Tritone: A9 (m. 104) -> Eb9 -> A7#9 (“Fr6”) (Eb9-A7 repeats in mm. 106-109) Progress by Minor Sixth: (A9 (m. 109)) -> F9 (m. 110) Progress by Perfect Fourth: (F9 (m. 110)), B9 (Fr6) (m. 111)

Measure 112 changes this basic progression and instead concludes the previous theme group with

material making up a G minor sixth chord, again emphasizing the minor sixth interval. It would seem that

Scriabin was using some devices of traditional harmony in this section without giving into any traditional

harmonic function or resolve. A six bar transition (or link) follows (mm. 114-119) beginning with the same

12

harmonic material from mm. 112-113 using the same bass motive as the opening Th. 1B phrase. The prominent

chord beginning m. 116 contains pitches (Bb, C, D, E, G ( pcset 5-34)) that make up a C9 chord. These pitches are

used with the addition of F & F# to take us to Main Theme 2 (Th. 2) in m. 120 where an interval of minor seventh

appears to have significance again in the bass voice using F as the lowest pitch, thus having a common element

with the previous thematic material.

Main Theme 2 (Th. 2) is mostly composed of a four bar phrase, first occurring in mm. 120-123 which

interweaves whole tone and chromatic scales. Scriabin puts forth an open sounding “whole tone chord” made

up of pitch collection (Eb,F,G,A) or (0,2,4,6) and then dabbles with chromaticism using neighbor tone F# until m.

121 when the whole tone structure comes apart with an 11-tone chromatic descension covering tones G-A. The

“missing” Ab is sounded as the fifth beat in alto voice of m. 121 as a neighbor tone to the previously sounded A-

naturals. The chromatic descension leads to an intriguing vertical structure in m. 122 arranged in a

quartal/quintal fashion. When we collect the pitches for this structure we find a whole tone collection

(Eb,F,G,A,Cb) or pcset (0,2,4,6,8) written in a quartal/quintal fashion. The Db that arrives at the second beat of

m. 122 further confirms the whole tone scale by completing the set (0,2,4,6,8,10). These whole tone sonorities

are used to complete the phrase in m.122-123 with D natural as a sort of neighbor tone.

This four-bar phrase is basically repeated verbatim in mm. 124-127 with minor changes. In short, the first Eb in

the upper voice is replaced with a short chromatic run (C#-Eb). Note that the C# is a tritone below the G

sounded above. Measure 126 is changed slightly when compared to m. 122 in that the highest G replaced what

used to be a F-natural. These vertical structures basically make up the entirety of the harmonic material for the

second half of the Th. 2 four bar phrase. It’s therefore useful to look at the pitch collections directly and

compare the sets, as shown below.

13

Desc. / Forte Number (measures) Normal Ordered Pitch Collection Normal (Reduced) Form / Prime Form

Upper melody pcset 4-16 (mm. 120-121)

(F#,G ,C,D) (0,1,6,8) / (0,1,5,7)

Together pcset 6-35 (m. 122-123) (Eb,F,G,A,Cb,Db,[D]) (0,2,4,6,8,10)

Upper melody pcset 4-16 T(0) (mm 124-125)

(F#,G ,C,D) (0,1,6,8) / (0,1,5,7)

Together pcset 6-35 T(0) (m. 126-127) (Eb,F,G,A,Cb,Db,[D]) (0,2,4,6,8,10)

Upper melody pcset 4-16 T(5) (mm 128-129)

(B,C,F,G) (0,1,6,8) / (0,1,5,7)

Together pcset 6-34 (mm 130-131)

(D,Eb,F#,Ab,Bb,C) “Mystic Chord Set”

(0,1,4,6,8,10) / (0,1,3,5,7,9)

Together pcset 5-33 (m.132) (G,A, B,C#,D#) (0,2,4,6,8)

Together pcset 5-16 (m. 133) (F,F#,A,D,Eb) (0,1,4,9,10) / (0,1,3,4,7)

Upper melody pcset 4-16 (m. 134-135) (F#,G,C,D) (0,1,6,8)


(A,Bb,Db,Eb,F,G) “Mystic Chord Set”

(0,1,4,6,8,10) / (0,1,3,5,7,9)

Together (mm. 138-139) Begins like m. 134, yet melody line is same as mm. 128-129 and chromatic descent is D-Eb). Note that descent now contains all tones and raised T(5) from m. 135.

It doesn’t take long to see the intersection of whole tone and chromatic structures that are intertwined in Th. 2.

It’s interesting to see how amidst all of this, the recurring chromatic lines descend to a minor seventh (ten

steps), until the last statement in m. 139, when all tones (D-Eb) are sounded.

An important recurring set in Th. 2 is that of pcset 6-34. The pitches in this set are what make up

Scriabin’s “Mystic Chord.” There has been some debate regarding the origin of this set in how Scriabin conceived

of it, but most accounts suggest that there was some Theosophical motivation behind its contents. From an

analytical perspective, some scholars suggest that the tones were derived from the upper partials of the

overtone series, while others believe that Scriabin conceived of the set through exploring sets of six notes

separated at different quartal intervals (i.e., perfect & diminished).13 As Wagner’s “Tristan Chord” gained

notoriety through its use in Tristan und Isolda, the Mystic Chord was first recognized as a driving harmonic

device in Scriabin’s Prometheus Op. 60 and is also referred to as the “Prometheus Chord”.14

The codetta is sparked into motion through a brief link in 2/4 time that occurs in mm. 140-142. This link

puts forward a jerky rhythm as if to imply a series of nervous attempts at a new start only giving into silence at

13 Baker, James M. The Music of Alexander Scriabin. (New Haven and London: Yale University Press, 1986): 99

14 Ibid., 99

14

m. 142 (and is again emphasized in the coda section of the sonata). The silence of m. 142 is soon interrupted

with the codetta again in 6/8 time which closes out the formal exposition section of the sonata. When looking at

the upper voice of the codetta, it’s clear that it’s connected both to the link material in mm. 140-142 and the Th.

1A simply by taking note of the familiar upper triadic figures. When we look at the pitch class sets that make up

the harmonic framework of the codetta, this is confirmed in that they are derived from the same pcset 5-27 and

transposed to various degrees, ending with a series of tritone transpositions, as shown below.



Upper pcset 5-27 (m. 143) (F,Gb,Bb,Db,Eb) (0,1,5,8,10)

Upper pcset 5-27 T(7) (m. 144) (C,Db,F,Ab,Bb) (0,1,5,8,10)

Upper pcset 5-27 T(3) (m. 145) (Eb,Fb,Ab,Cb,Db) (0,1,5,8,10)

Upper pcset 5-27 T(6) (m. 146) (A,Bb,D,F,G) (0,1,5,8,10)

Upper pcset 5-27 T(4) (m. 147) (F,Gb,Bb,Db,Eb) (0,1,5,8,10)

Upper pcset 5-27 T(7) (m. 148) (C,Db,F,Ab,Bb) (0,1,5,8,10)

Upper pcset 5-27 T(3) (m. 149-150) (Eb,Fb,Ab,Cb,Db) (0,1,5,8,10)

Upper pcset 5-27 T(6) (m. 151-152) (A,Bb,D,F,G) (0,1,5,8,10)

Upper pcset 5-27 T(6) (m. 153-154) (Eb,Fb,Ab,Cb,Db) (0,1,5,8,10)

Upperpcset 5-27 T(6) (m. 155-156) (A,Bb,D,F,G) (0,1,5,8,10)

As Table 1 in the Appendix shows, the exposition proper ends after the codetta (mm. 140-156) and the

development section, having two parts, is contained in mm. 157-328. There are obvious restatements of the

introductory material therein. Most of the material that comprises the development section is derived from

material in the exposition, only transposed to various degrees and sometimes given variation treatments. A

unique quartal voicing of the “Mystic Chord” appears in m. 264. There are contrasting juxtapositions of “Allegro

fantastico” (from the codetta) and “Meno vivo” (Th. 2) in mm. 281-288) and significant variation added to the

Th. 2 material in mm. 313-328.

The recapitulation occurs in mm. 329-400 with pcset 5-27. The entire recapitulation is almost an exact

copy of the exposition except that the sub-phrases derived from Th. 1A only occur once (mm. 329-348) with

slight variations and transposed a perfect fifth interval lower (or T(5) (perfect fourth) higher). This transposition

is easily recognized when comparing the pitch material of pcset 5-27 from the exposition (mm. 47-52,

(A#,B,D#,F#,G#)) to (D#,E,G#,B,C#) in mm. 329-334 of the recapitulation. Similar comparisons can be made

throughout the recapitulation. The coda contains material from the codetta and material loosely derived from

Th. 1A. The sonata ends with the motive that originally opened the piece in Intro Th. A.

15

As we have seen, by analyzing the thematic material and the overall harmonic framework of Scriabin’s

Sonata No. 5 using pitch class sets, while still considering traditional chord configurations, we can recognize how

Scriabin embarked upon a new compositional style which bridged some aspects of traditional harmony (i.e.,

dominant & major chords) with his future sonatas which embraced greater atonality. Traditional chord names

assist with recognizing the old formations, while pitch class sets help us recognize how they are related

throughout Scriabin’s individualized approach to composition.

16

APPENDIX

Table 1- Overall Structure of Sonata No. 5, Op 53 by A. Scriabin

Formal Section Notes Measures

Introduction (1-46) Intro Theme, Group A (Intro Th. A) 1-12

Introduction cont. Intro Theme, Group B (Intro Th. B) 13-46

Exposition (47-156) Main Theme 1, Group A (Th. 1A) 47-87

Exposition cont. Transitional Material 88-95

Exposition cont. Main Theme 1, Group B (Th. 1B) 96-113

Exposition cont. Transitional Material 114-119

Exposition cont. Main Theme 2 (Th. 2) 120-139

Exposition cont. Codetta 140-156

Development (1) (157-246)

Derived from Intro Th. A 157-165

Development (1) cont. Derived from Intro Th. B 166-184

Development (1) cont. Derived from Th. 1 (A & B) 185-246

Development 2 (247-328)

Transition derived from Intro themes 247-262

Development (2) cont. Derived from Th. 2 263-288

Development (2) cont. Transitional Material based on mm. 140-141 289-304

Development (2) cont. Transitional Material derived from Th.1A 305-312

Development (2) cont. Variation of Th. 2 313-328

Recapitulation (329-400)

Th. 1A

329-348

Recapitulation cont. Transitional Material 349-356

Recapitulation cont. Th. 1B 357-374

Recapitulation cont. Transitional Material 375-380

Recapitulation cont. Th. 2 381-400

Coda (401-456) Derived from Codetta (mm. 140-141) 401-408

Coda cont. New Material / Derived from Th. 1A 409-450

Coda cont. Derived from Intro Th. A 451-456

17

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Martin, Henry. "Seven Steps to Heaven: A Species Approach to Twentieth-Century Analysis and Composition."

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