Thursday 10 October 2019

Messiaen


Messiaen’s parody of Salve Regina in his Subtilité des Corps Glorieux




The version of Salve Regina used by Messiaen is that attributed to Hermann von Reichenau (1013-1054).
A recording is available on Wiki, along with an alternative English translation.



A few introductory remarks before the commentary on the parody is made. Since hearing Messiaen’s Et exspecto resurrectionem mortuorum as a student, I have been intrigued by the use of plainsong in 20th century music. In Et exspecto a plainsong connection was aurally clear but I was puzzled by how the music was transformed.The question repeated itself with my more extensive study of Peter Maxwell Davies’s music, particularly “Ave Maris Stella”.
What follows is a walkthrough the Subtilité for those listeners who perhaps have asked the same question. I am not going to explore all the characteristics of plainsong that Messiaen incorporates in his musical style, the endeavour is simply to draw parallels between the pieces and where differences occur to offer suggestions why they occur.

It is possible that the reader might say I am missing the most important point, why does Messiaen use plainsong at all? Indeed why do a number of 20th century composers look back to plainsong as a basis for their music? The answers are as many as the number of composers involved, I would suggest in Messiaen’s case it is a matter of religious upbringing and the history of organ improvisation. If information on the latter is desired I would suggest this excellent account by David Connolly:



If the reader is unfamiliar with Messiaen’s musical technique and his modes of limited transposition in particular I suggest this link:


The main focus in this blog is on the second mode, which has three stacks of 0,1,3 formations (C, D flat, E flat / E, F#, G and A, B flat, C – octave above opening pitch).

Now to the content of the two pieces.

Section 1


Example 1

The first section is based throughout on the second mode, transposed to C#; pitch content:
C#, D, E, F, G, B flat, B.

The opening tetrachord formed from pairs of semitones has minimal connection with the plainsong, having two pitches in common with the Salve phrase, this tetrachord does not trigger an aural association with the plainsong but does make a dramatic opening statement. The fall of a diminished fifth (A flat, D) becomes a repeated cadence figure and D natural becomes the 'home-note' of the movement.

The two phrases that follow are derived from the phrases Regina, mater misericordiae and the first (unlike the tetrachord opening) has maximum similarity to the plainsong with only one pitch difference (A natural becomes A flat). The C# D C# opening of the second phrase suggests the movement of the second phrase will be similarly strong, but the remainder of the phrase does not fulfil that expectation. The final tetrachord F, E, A flat, D, repeated at mf suggests an echo, it is frequently used - sometimes with pitch modification (e.g. F#, E flat, G#, D) – to divide the plainsong phrases from which Messiaen takes his outlines.
Put in simple terms Messiaen will modify the plainsong by extending the pitch range up or down a semitone, but there are examples of placing a new (and unrelated) pitch or pitches to create greater expression. This is most noticeable towards the close of the movement. There are many instances where the inflections are organized to match a mode of limited transposition, but there are exceptions too.
The maximum system of cohesion relates to the MOLT 2, which has a symmetrical formation, this symmetry adds to the sensation of stasis which makes a musical parallel with plainsong.

Section 2

Example 2

The pitch content of the second section continues with the second mode , but this time transposed up a semitone (D, E flat, x, F", A, B,C).  After the first three pitches of the second line (ex.2) the harmony changes, this is aurally marked by three consecutive semitones, here G, A, G#. 

After the cadence, a variant in content but not spirit of the first section cadences, there is a reworking of the opening of ex. 2, marked by blue brackets, which continues to use MOLT 2 up to the E natural in the third line (9th pitch). 



The function of this pitch is puzzling in the context of pitch stability (i.e staying within the mode). To explain its use a reference to the plainsong outline may be the only alternative explanation. 



Let us examine the third line of the plainsong from which this material is derived 



Ad te clamamas, exsules, filii Hevae. 

Ex. 3
If the high D in the opening phrase is ignored the outline is quite clearly derived from the source. This applies to the whole of the first line of ex. 2, but the second line deviates, extending the pitch range.
This remaining music of ex. 2 closely follows the next line of the plainsong from Ad te suspiramus through to lacrimacum, but deviates on the last syllable to prepare for the cadence with A / E flat.

After this we have a reprise of section 1. pitches 1-24.

Ex. 4

The opening of section 3 derives from Eis ergo, Advoca ta nostra, illos tuos and can be mapped over pitches 1-22 of the extract above. The opening hexachord collection is new and loosely connected to Eis ergo, though we do have the diminished 5th which prepares us for the much more closely aligned pitch relationship to Advoca ta nostra, illos tuos.  The second line of ex. 4 transposes the mode onto D for the opening phrase and then the music adopts the 3rd MOLT for the next 5 phrases. However we have 3 A naturals in the music, each time contributing to the formation of and movement towards a cadence, I am taking these as a composer's privilege to alter a scheme for musical clarity.

The red line marks the start of the second half of section 3, the first phrase forms a 016 collection which identifies with the start of section 1 and as might be anticipated the remainder follows the precise pitch structure of the now familiar phrase. In all the phrase (which has maximum similarity to the plainsong) is heard four times to contribute to the formal structure of Subtilité.

Section 4
Ex. 5

The final section presents the listener with the most dramatic and expressive phrases of the movement, these terms may surprise the reader when we consider that the music is a parody of the plainsong style which is dominated by a MOLT which produces non-progressive harmony.

To avoid repetition I will restrict my comments to brief observations from this point.

The opening two phrases (of which the second is an extension of the first) are derived from Oclemens Opia.
We then have two long phrases framing the repeat of section 1 material, one ff, one f.
The hexachord formed at the Start Of the third line is a superset of the opening tetrachord of section 1, so despite pitch alteration it logically connects to the repeat of material from section 1 pitches 5-23.

The 0167 formation opens the next long phrase (one might prefer the term melismatic decoration) which contains two chromatic pentachords which aurally indicates how far this music has progressed from the restrained opening.

The close as expected is a reworking Of O dulcis Virgo Maria, and the association is made with t3 Of Mode 2, which provides the G#-D cadence figure, but not the E natural grace note which is the plainsong's territory.

Some simple observations. The reworking of the original plainsong is not a note for note alteration by close pitch association. The music is not a superimposition of one form on another, the plainsong is at best a substructure. The repeat of the opening 4 times in Subtilité demonstrates the difference. The commentary has placed the greater emphasis on pitch, observations on rhythm are outside the scope of a 1k blog.

Does a knowledge of the original enhance the understanding of Subtilité? That is a personal matter, for myself I believe that it does, just as in a jazz reworking of a standard one has to work at making connections, and repeated listening brings the two versions ever closer.

Nurtan added some additional comments to the blog which I am happy to share:

The fundamental question you raised ‘’why plainsong in 20th century’’ is both challenging and absolutely not amenable to glib answers such as ‘‘just because’’, ‘’lilting melody’’ etc. Messiaen’s organ improvisation and his religious upbringing are good conjectures; but I think it answers a different question which pertains to his enormous success with using modes of limited transposition and their cohesive nature even when applied to plainsong outlines. One possible conjecture is tied to both plainsong and MOLT. If we consider two facts 1) rhythmic repetition (with or without variation) is an essential characteristic of music which makes a simple or complex piece recognisable, and 2) harmonic structure provides a deeper series of contrasts which contribute to the emotional character of a piece. One might be able to reason that MOLT provides a tool kit of well controlled variations of a (harmonic) rhythmic repetition. In increasing the aesthetic value, the contour of the plainsong would indeed be an important restraint. A composer uses the familiar sounds embedded in his or her mind as a resource (religious upbringing).
One might argue that production of pieces like parody of Salve Regina had an influence on other composers to try the technique (James McMillan, Maxwell Davies, and John Tavener from the UK). Also MOLT does not use artificially forced harmony and/or introduced unnecessary notes of serial system – a much harder technique – to avoid either breaking the rules {Alban Berg} or writing very  tense music all the time.

I would like to thank Aldo Bova for his interpretation of the Salve Regina on bass recorder available on You Tube here:

https://youtu.be/ZaOOTynbJOY

and an author's transcription for violin, cello, clarinet, harp and gongs is available here:

https://youtu.be/ilLU_t2FQfA




Saturday 14 September 2019


Instant creation and Malevich’s Black Square.


Some time ago I came across Malevich’s painting “The Black Square” and on reading about its conception and purpose a fascinating collaboration was revealed which led to the establishment of Suprematism. If this movement is unfamiliar to you the names to research along with Malevich are Mikhail Matyushin (musician) and Aleksei Kruchenykh (poet). Their manifesto calls for rational thought to be overthrown.
Here is a link to an extract from “Victory to the Sun” to whet the appetite:
I hope it amuses as much as it informs.
The reason behind opening this blog with an artistic reference is that it took me to considering how long it took Malevich to conceive the idea of “The Black Square” – could it have been in a single moment, as one might say in a flash of inspiration? As time went on the question expanded into considering different art forms and the preparation that takes place to produce an artistic statement; is there an equal process to the Eureka moment for musicians, poets and other creative thinkers.
Musing on that question generates the thought that there are art forms that evolve over a period of time and others that can be formed in a short or very short time frame. The former includes music, dance, opera, staged events, film and literature. The instant varieties include visual arts and photography.

Once we start thinking about that phrase ‘in an instant’ the discussion can become tricky. While conceiving a whole drama or symphony in an instant is not possible one might argue that the musical intention or a storyline (consider Berlioz and his “Symphony Fantastique”) might be instantaneously experienced by the artist. A little less dramatic than God’s spark we might have concepts like “my work will express emotion x”, or “I will work with nothing other than the interval of a fourth” or “I shall explore two contrasting but related hexachords”. I heard recently that Takemitsu always wanted a title before settling down to composing, and I am of the opinion that phrases and titles can occur to a person in an instant and influence the design of the completed composition. However, in the cold light of reality many of us have seen the excitement generated by the notion that an idea holds great potential only to be cruelly disappointed when attempting to make something of it.

Working from a pre-existing image or sound and modelling a work from that point may be considered as instantaneous even if the eventual outcome takes time and considerable refinement.  Take Wordsworth’s “Daffodils” as an example. Most subjects require considerable work after the “spark”, the creation of a glue to hold the elements together if the material is to keep an audience’s attention for a performance or repeated performances over a period of time. It may be the case that what appears like one idea (daffodils) is in fact two related ideas (the euphoric experience through nature and the eventual return to reality).

Can one note or one brushstroke be an artistic statement? We could play the sorties game here, how many grains of sand make a beach? Not one obviously, nor two. Are a million grains a beach or a sign of erosion? Out of context that pile might take on a different identity, for example material to absorb an oil spill or the raw ingredients of a window. Quantity alone is not enough to create meaning let alone art; is a sustained open fifth more artistic if it lasts a minute, an hour or a decade?

Traditionally musicians have expected their notes to relate to each other, create patterns, and that is a minimum requirement. Outside the traditional approach musicians have explored sound for its own sake, particularly in the post 1950’s period. Historically some musicians push this exploration of timbre further back in time and view Debussy as an early exponent of this movement. In the post 50’s the development of sound generating equipment accelerated and devices like synthesizers and samplers opened up a new world of possibilities. Gradually the interaction of live and electronically modified music permitted spontaneous extensions to alter our expectations of e.g. how a string quartet sounds. In the world of sound for its own sake technical skills are less relevant, the ability to perform at a high level of expertise is equal to or perhaps even less important than being able to express and communicate ideas. There is a parallel here with conceptual art, here is a brief Wiki extract that explores the balance of skill and expression.

An important difference between conceptual art and more "traditional" forms of art-making goes to the question of artistic skill. Although skill in the handling of traditional media often plays little role in conceptual art, it is difficult to argue that no skill is required to make conceptual works, or that skill is always absent from them. 
         
The argument that photography is not an art form lies close to this observation, and the question is asked does one press of a trigger create a work of art or a document? The mechanical action is not the artistic process, but without it there is no product. The photographer has set up his instant, whether in a war zone or in a field with a crop that attracts a particular butterfly, but experience and sensitivity to the subject determines when the button on the camera is pressed. A short and informative exploration of the question is explored in the following Guardian article:


Before we leave conceptual art, let us consider the notion of a concept in itself being art. Let us imagine a similar event to Wordsworth’s “Daffodils”, a composer is exploring a cave, he hears water dropping into a pool and the sound reverberates. He immediately decides that the experience is worth sharing and decides to replicate the environment in the concert hall. The composer may at a later stage develop the concept, sensors are added to trigger the recorded sound of water drops and the audience interacts. We have all the parameters of musical composition covered, in the first instance chance plays a significant role, with the sensors human control shapes the outcome. Can one argue against this being either instant or art?

Let’s return to the switch on the camera problem and apply it to a composer, and let the composer be Beethoven. We are sent back in time to be at the moment just before the “Ode to Joy” melody has been written down. Beethoven has acquired by this time formidable technical skill, melodies are formed to carry large scale structures. So we ask ourselves where and when the origin of this melody occurs, does it evolve, is it a spontaneous or possibly an accidental outcome of playing at the piano? If it interests the reader there is a paper available as a PDF by Robert Pascall which discusses:

(an) altogether more radical claim that in this finale Beethoven harnesses the structure and processes characteristic of improvisation, and that in so doing he composed what becomes, by that token, an allegory of improvisation; furthermore, it is an allegory enhanced by a narrative aspect that Beethoven gives to his setting of Schiller’s text, initiated by his instrumental and vocal introductions to it and carried through in prominent elements of the setting itself.




Before we conclude let us consider a modern technological development of the allegory of improvisation. Companies like Native Instruments have developed modules which generate rhythmic pulses that can trigger oscillators and filters. The results can be simple or complex, and sustained for as long as the technician/composer desires. If desired all parameters can be altered as the chain of events occur. Compositional expertise can be minimal but experience guides selection and control.
As the complexity increases the ability to predict the outcome decreases, a situation familiar to total serialists in an earlier period. Technology here offers a half-way house between instant and planned events, and we return to the old argument that chance music may sound good by chance.

To close let us return to Malevich’s painting “The Black Square” in the light of our question; if the idea was simple enough to have occurred like a divine spark, why it is that the idea was revisited four times? Is one Black Square not enough? The answer lies in the difference between a closed idea and one that has the potential for expansion and refinement.



Sunday 3 March 2019

Per Nørgård infinity series. Pitch table for the first 1K place with graphs and commentary. 

Look below for a table of the pitches of the first 1K positions of the infinity series presented as 3 (expandable) images.

If we take the first 10K pitches and explore them for pitch repetition we get the following:

C# = 1,129      C   = 1,129
D  = 1,036       B   = 1,036
D# =   926       A# =    926
E   =   740        A  =    740
F   =    631       G# =    631
F#  =   538       G   =    538

filters may be used to explore other quantities for symmetry.

and here is a link to some fascinating work by Stefaan Himpe (many thanks for your contribution)

https://notebooks.azure.com/sluimermuis/projects/pernorgard/html/InfinitySeries-Copy.ipynb

and here is (I hope) some useful tables of pitches for those - like me - of a more musical - and less mathematical outlook.





An excel table of the first 100k places is available on request, just post a contact in the comments column.

Monday 14 January 2019



“When you write and draw in pencil, your eraser is your best friend.” 
― 
Anthony T. Hincks
There are several different versions of this quote, “two ends to a pencil and the rubber is most useful” I seem to recall is attributed to Schoenberg. When I first came across the sentiment I took it to mean that we make errors and need to remove them, later on it evolved into a process of reconsidering the direction of the music and sometimes a retracing of our musical intentions or lines of thought. I had never given time to the notion that to lose whole sections of music (sacrifice hours, days, and weeks of work) to get to the core of an idea might be appropriate.
Before getting into why the action of performing surgery on a well-known symphony has been considered and executed a short diversion is required regarding our views on disregarding a composer’s written plan in relation to the overall form and structure of his or her music.

Making formal adjustments in one’s own works is one thing but doing so in another composer’s music is another matter altogether. Repetitions which may have been appropriate in works before the advent of recorded sound may or may not be vital to the delivery of a satisfactory performance, such a conundrum played through Glen Gould’s mind in his different recordings of the Goldberg Variations. Why would one slavishly follow the design of repeats in the variations – to assist the listener with problems of insomnia hardly seems a convincing musical answer. Even when accepting the notion that no repeated passages are played exactly the same (though in the recording studio they are frequently very similar), some repeats add little to the music. In some recordings of Baroque works we introduce more elaborate ornamentation on repeating, sometimes played to the point of submerging the original. Each period requires a different argument for repetition of sections, but let us not labour that particular point, it has been touched on in previous blogs.
The advent of classical music stations has resulted in many listeners having a “pick and mix” view of art music and if they are satisfied with that format one cannot deny them the right to their enjoyment. Even the more discerning listener may think twice about listening to the complete cycle of Bach’s Preludes and Fugues from book 1 or two (even more so in combination). Pick and mix is not new, operatic arias lifted out of context are common, arrangers select favoured bits, the Ring cycle has its bleeding chunks, and ballets similarly have their concert versions.  So we cut and reassemble our listening experiences to suit our pleasure, but there are times when the discerning listener may question the composer’s intentions to explore, follow a connection or simply isolate a particular feature which attracts the attention. Let us return to the matter of surgery on an old friend.

The origins of the desire to run the first movement into the fourth in the 9th symphony has its roots in my great admiration of two symphonies by Sibelius, the 5th and the 7th. In both questions regarding structure concern the composer, and the nature of the questions concern reviewing the conventional multi movement symphony and how the movements can be forged into a continuous composition. Reading through a number of analytical papers on the matter certain phrases constantly reappear, continual development, 2 movements in one, combined development and recapitulation, cohesion through rhythm, contour and detailed articulations. On the matter of rhythm I particularly like Tom Service’s commentary in the Guardian:

…the Seventh Symphony crystallises a conspectus of a compositional technique that later composers like Elliott Carter, George Benjamin, and countless others, would employ: so–called ”metric modulation”, in which you use a common unit of musical time to elide from one speed to another. …the effect is even more subtle than simply shifting through the gears: the final appearance of the trombone theme, whose three-fold appearances are the symphony’s most obvious landmark, is achieved by a musical time-warp. What I mean is that Sibelius has sped up the music so much that time slows down … so that the hectic crotchets of the symphony’s last scherzoid music become the undulating accompanying bed of sound for the trombone’s theme. That’s a moment of musical magic; a truly Sibelian sleight of symphonic structure.

In my two piano version of the first and fourth movements of Ralph Vaughan Williams 9th symphony I deliberately reduced the symphony from four movements to two to explore a question of design, are the two movements connected to the point where they can function as one, and might RVW have been influenced by the Sibelius model? I could have been satisfied by leaping through the tracks on a CD or ripping the appropriate parts into an MP3 file, but I wanted to spend time working through the details and hearing the parts at the sort of speed the composer might have worked to catch at least some of the relationships between themes, rhythms and scales. Furthermore I had a strong sense of affinity between the two movements but I needed to see if the intuition had basis in fact.

There is no lack of respect in this action, and I admire RVW’s symphonies, the regard for his work dates back to my school days where the Wasps and Sea Symphony were studied for examination purposes (enough said). For me one movement stood out from the others, the final movement of the sixth which paired well with the final section of Holst’s Planets, the reason for the link did not become apparent for a number of years until I examined both pieces in respect to modes of limited transposition. This style of this subdued, unearthly music was not returned to in later symphonic movements and I felt that the 7th, 8th and 9th symphonies had great character but were less musically fascinating. This view may have been partly informed from reading others who describe the 7th as an inferior symphony (being an adaptation of film music), and the 8th and 9th as a late revisit of his earlier style – including quotations in the 9th - and technique, as “appropriate” to an older man.

The argument for the four movement symphony seems based in literature, reflecting RVW’s lifelong admiration of Hardy’s landscape and its characters, and in the case of the 9thTess in particular. I understand that Michael Kennedy and Alain Frogley both expound on the literary and geographic imagery, the latter writer particularly expounding connections in the second movement with Tess at Stonehenge. While mentioning Frogley there is a lengthy account on the working methods of RVW and the 9th, in general terms it seems that the four movements were composed in sequential order, the first almost certainly followed by the second.

As the transcription to two pianos evolved is was aware of the loss of musical colour, it seems that more has been written about the orchestration of the 9th than anything regarding its structure. However the reduction to two pianos reveals just how astringent the harmony can be. The musical spellings show that the key structures have bitonal elements and the chords are at times as shocking in their starkness as those in “Job”. Another aspect of the 2 piano arrangement is an opportunity to place the focus directly onto the thematic and rhythmic changes, I certainly heard the two movements as consisting of a large number of related paragraphs in a continual evolution, whether this view is shared is a matter for the reader and listener.

In the blog on age and creativity the phases of artistic endeavour were presented, and given RVW’s age we must assume that he was at the time of composing the 9th either in transition between the two final phases or in the final phase. Here they are again:
“Summing-up” phase. Looking at the events of one’s past and creating a narrative from these 
events. 

“Encore” phase: reaffirming beliefs and opinions and exploring variations on those opinions.

Both have their possibilities in the composer’s approach to the last two symphonies, (their composition overlaps) but in my opinion there are new elements or at least progressions from previous composing interests that demonstrate fresh approaches.
If we are going to compare the ideas of a formal unification of parts with Sibelius let us remind ourselves that Sibelius’s 7th symphony was a product of the mid 1920’s and RVW’s 9th the 1950’s. Thirty years is a long time in musical history of the 20th century but the effect of Sibelius’s symphonic music has been profoundly influential, even on composers of the 21st century (e.g. Maxwell Davies and Per Norgard). Earlier it was stated that in his 7th symphony Sibelius gives equal weight to the variation of material with tempo, rhythmic design and articulations alongside key relationships, (albeit in a different and more chromatic manner to earlier symphonies).  RVW’s 9th also shows these characteristics but retains frequent key signature changes, and with the arrival of these changes of key we consistently get new variants on thematic and rhythmic characters. Williams’ use of tempo change is less adventurous than Sibelius but the outcomes are similar with gradual alterations to the rhythmic cells over the course of the music. (One may note the feature of a distinct musical figure being followed by a string of successive running quavers, triplets or semiquavers then a new distinctive figure as the various paragraphs are worked through).
The following examples trace through the evolution of the main rhythmic motifs of the first movement.



While the thematic relationships within the first movement are strong in the final movement the rhythmic design is less dramatic, a 6/8 pulse dominates with forays in 4/4, but there is still an evolution of rhythmic ideas, and the closing figures bring us back to the most characteristic figure of the symphony the rise and fall three note figure on saxophones. We must also recall the long triplet sections (e.g. after the contrapuntal opening) in which the ambiguity of being in 4 beats or 6 is played out and now hear it as a precursor of the final movement.



At the bottom of the blog is the thematic comparisons between the movements used on an earlier blog, the black ink refers to the first movement and the blue the final.
I have not spent a great deal of time on a close harmonic analysis and key structure of the two movements, this task would take far more space and time than a blog permits. However, as I came to finish writing this account I came across a thesis covering this topic and I include the link:


In this (very informative) document David Manning makes reference to an article by Alain Frogley which I have not read where the idea is proposed that the final movement of the 9th is two movements in one! However we read the score we must realise that the harmonic design is complex, there are 10 changes of key signature in the first movement, with the music becoming a little more stable in relation to the key signatures from the D minor section (bar 112). The last movement has 15 key signature changes and presents us towards the close with a movement towards major tonality, (C and E). These key signatures are not the conventional signals provided in symphonic music of earlier periods and the degree of ambiguity is high.

How do I now read the symphony? I take it as a win – win situation, we have one and a half symphonies, one full somewhat conventional 4 movement work, and half a symphony that poses as a single movement work that is far more radical. I post the link to the 2 piano arrangement