Showing posts with label music analysis. Show all posts
Showing posts with label music analysis. Show all posts

Tuesday, June 16, 2020

Tabula Rasa: Preliminary Observations


Tabula Rasa is a composition by the Estonian composer Arvo Pärt, written in 1977. From 1968 to 1976 Pärt withdrew from public presence to re-evaluate and re-think music composition. After he emerged with a new style, called Tintinnabuli, Tabula Rasa was one of the first pieces to be written. This is likely the origin of the title--he was beginning with a "blank slate." From Wikipedia:
Musically, Pärt's tintinnabular music is characterized by two types of voice, the first of which (dubbed the "tintinnabular voice") arpeggiates the tonic triad, and the second of which moves diatonically in stepwise motion.
This kind of approach has been attributed to Pärt's study of chant. The unusual orchestration, including a prepared piano, is because of the occasion of the commission when Pärt was asked for a piece to accompany the premiere of Alfred Schnittke's Concerto Grosso which has a similar orchestration.

There are two movements, Ludus ("game" in Latin) and Silentium ("silence") each between ten and fifteen minutes in length. Here is the first recording with Gidon Kremer:


The first part, Ludus, has a kind of Baroque structure with a ritornello alternating with ornamental sections for the solo violins. The chord in the low register of the prepared piano functions the way the large gong does in gamelan music, punctuating larger sections.

The first thing we hear is a fermata A in the solo instruments at the two extremes of the range. Then a long pause. I thought I was the only one to use the time signature 8/2! Then the ritornello starts. I’m using that term because it keeps coming back and, well, it just sounds like a ritornello.


Harmonically this is very simple as A minor, or rather the aeolian mode, is arpeggiated with a few neighbor tones. The complexities come with the rhythmic treatment which at first also seems quite simple. The ritornello is in 4/4. But little anomalies creep in. The fourth bar of the ritornello is punctuated with a deep harmony in the piano, an A minor chord doubled. From the instructions for preparation, it looks as if the upper A minor triad is prepared while the one below the bass clef is not, so the chord sounds fairly clearly but with some complex overtones. A couple of measures later we hear the bell-like prepared tones, first in a 5/4 measure, then in a 6/4 measure. Another Grand Pause ensues, this time in a measure of 7/2. That is a lot of metric variety for so few notes. This kind of structure continues for a while with the solo instruments continuing to vary their statements between the ritornelli and with the Grand Pause being reduced by one half note each time it returns.

I think that is all I will say today. Tomorrow I will try to take an overview of the whole movement. In the meantime, here is a live performance of the first movement with Gil Shaham, Adele Anthony, Erik Risberg and Neeme Järvi conducting the Göteborgs Symphony.


Wednesday, April 8, 2020

Thirteen Ways of Looking at "Dark Dream": An Analysis

A couple of years ago I was writing a piece for violin and guitar that I ultimately titled Dark Dream. This piece went through several stages and ended up being the longest single piece of music I have written. We recorded it in Toronto a little over a year ago and it ended up being fourteen minutes in length. The process of composition involved writing the piece and then taking it apart and rewriting it several times. I could check, but I think it took about two years before it assumed its final shape.

As the piece seemed to me to be a significant breakthrough I have recently decided to do an analysis of it akin to what Schoenberg did with some of his pieces in the transition from tonal to serial composition. He would write a piece in free atonal style and afterwards try to discern how it was put together.

There are so many different ways of approaching an analysis that I am going to take a cue from Wallace Stevens' poem "Thirteen Ways of Looking at a Blackbird" and try and find thirteen ways of looking at Dark Dream. Also because I am pretty sure that it will not fit within any of the usual analytical methods.
I was of three minds, 
Like a tree 
In which there are three blackbirds.
--Wallace Stevens
1. The piece is for violin and guitar, a favorite ensemble of mine. One of my most satisfying musical relationships was with violinist Paul Kling with whom I gave quite a few chamber concerts of music by Giuliani, Paganini and others. He was a violinist of outstanding abilities. But my relationship with the violin is complex as my mother was a violinist, a "fiddler" in her words. The violin always represented to me a hemisphere of music to which I, as a guitarist, did not have access. In my mother's hands it was a folk instrument. In the hands of Paul Kling it was, along with the piano, another instrument that I did not have access to, the supreme instrument of Western Music. In one concert Paul played the Bach Chaconne in D minor as a solo offering. All I could come up with in response was a Tombeau originally for Baroque lute by Sylvius Leopold Weiss, a friend of Bach's. In Dark Dream there is an interesting fusion and then separation of the two instruments. The piece begins with a unison possible because the violin and guitar share one open string in common: the 4th string of the violin is the same pitch as the 3rd string of the guitar. The opening uses these strings, plus some octave displacements, to unfold a G nexus. 

Click to enlarge
The guitar sounds an octave lower than written as you can see from the clef, so what look like octaves here are actually unisons. This idea of the two instruments fusing together and then separating is also realized in the speeding up and slowing down motif, one of the basic themes. Later on each instrument has a cadenza:

Click to enlarge
The violin's is extended into a more lyric melodic idea that returns at the end of the piece:


It also appears, for both instruments, in the "moment form" section. Here is how it appears at the end:


I suppose that what I was doing, in part, was to place the guitar and violin as equals, but at the end, the guitar returns to a sonority unique to itself, as does the violin. Separate but equal? The violin certainly wins out melodically. But the guitar, with its mysterious sonority at the end, preserves its identity. By "preparing" the guitar by putting a paperclip on the 6th string, you get a complex mixture of pitches, vaguely bell-like. The violin, with its col legno on the 4th string open, contributes its own uniqueness to the composite. So one aspect of the structure of Dark Dream is my personal relationships with both the guitar and the violin.

2. A composer that I became interested in, in recent years, was Sofia Gubaidulina, a Russian/Tatar woman who never quite fit into any of the niches available in the Soviet Union and eventually emigrated to Germany. One thing I learned from her music is that a "theme" does not have to be melodic or motivic but can be a texture or a timbre. This is why I use a number of different coloristic ideas in the piece as building blocks. These include:
  • pizzicato for both instruments
  • harmonics for both instruments
  • col legno and sul pont mainly for violin
  • "prepared" guitar using a paper clip
  • glissandi for both instruments
  • trills for both instruments used as a texture more than a harmonic or melodic device
  • unmeasured tremolandi on two strings for both instruments similarly
  • "snare drum" effect on the guitar which is achieved by crossing the 5th and 6th strings over one another for a rustling metallic effect
3. The ineffable influence of Zeno of Elea. I have always been fascinated by the paradoxes of Zeno of Elea who seems to show that, for example, Achilles can never catch the tortoise. This paradox seems to point to the question of whether or not space divides into infinitely small points. Or so I understand it! For my purposes I want to see the temporal flow of music as being of two kinds: with an underlying pulse or with no pulse and extended sounds. Pop music always has a rigid beat while Gregorian chant has floating sonorities. Is time more like a march or more like a river? A big part of the structure of Dark Dream is based on contrasting these two concepts of time. For example, in the very beginning we have a single note, fermata, with no fixed duration. This is followed by a simple rhythmic counterpoint. This in turn leads to the speeding up and slowing down motif which the two instruments play against one another. The contrasts are throughout the piece. Other similar contrasts are between fixed individual pitches and glissandi. On a higher structural level the two outer sections of the piece use a traditional score layout. In the middle there is a contrasting section in "moment form" in which each instrument is given a collection of musical moments that they play in any order. This is repeated so there is another ordering. The effect of this kind of texture is that not only is there no narrative direction, but there is of course no shared pulse between the instruments. The music floats.

Click to enlarge


4. There are four basic motifs in the piece:

A.
B. 
C.
D,

Two are with pulse, A and D, and two, B and C, are without pulse. Only D resembles a traditional motif. These ideas are developed in various ways.

5. In order to avoid traditional tonal implications, I use different forms of the octatonic scale in the piece.

6. The piece really avoids a structure with "directed motion." When I started to do a Schenkerian analysis what seemed to be coming into view was a movement from G up to D flat! Rather upside down. I am going to go back and go into that more carefully later on.

7. Silence has a significant role in the piece. This is on analogy with the layout of traditional Chinese art which tends to have a blank or "negative space" in the centre where Western art would have a focus or climax. In Dark Dream, the climactic moment really comes at the end of the moment form section which is a silence followed by a kind of recapitulation.

Well, there are seven ways of looking at Dark Dream. Rather sketchy, I know! Here is the original post with the clip of the recording:


Comments are welcome, of course.

Wednesday, March 25, 2020

Analysis is Paralysis!

The phrase is a quote from a French horn player I used to know. From a performer's view this is certainly true! But is it true generally? I have the impression that more and more analysis is being used as a tool to teach music composition. Graduate composition students often have to do an analysis of pieces they have written. This is reminiscent of what Schoenberg was doing in the transition from tonal to pan-tonal music. He would write a piece and then sit down and try and analyze what he had done. The process of creation was instinctive, but his idea was that he had to understand what structures or ideas underlay the music composition.

A lot of composers, I suspect, just write intuitively with perhaps the development of "filters" to trim down the possibilities to ones that are most useful. Other composers follow worked-out systems of composition (the serialists). Others create systems and move on to new systems with each piece (Stockhausen). Others modify traditional styles by distorting or stripping them down to essentials (Prokofiev? Feldman? Stravinsky?). Others are what theorists like to call "refractory to analysis" meaning probably that they just have no idea what is going on.

Music theory and music analysis are somewhat different animals. Music theory is the search for general principles of music construction while analysis is more focused on the specifics of individual pieces. They overlap to a considerable extent, of course.

I have been reading this book, which though a bit dated (1987), is proving to be very informative. The author was a professor at Southhampton University in England.


His writing style is clear and informative and he gives a good overview of various different approaches. Analysts seem to prefer shorter pieces as the process of analysis can be very exhausting and time-consuming. The first prelude in Bk I of the Well-Tempered Clavier is a particular favorite:



It is amazing how much analysis you can do of a two minute piece. Another popular one is the brief (two and a half minutes) song from Schubert's Die schöne Müllerin, "Das Wandern."


On first listening, both these pieces might sound very simple, trite even, but one thing analysis can do is refresh your listening so you are hearing with new ears.

In our everyday lives we are constantly hearing music in public spaces that is run-of-the-mill, routine music, music that sounds a lot like a lot of other music. This dulls our aesthetic sense so we become less capable of hearing into a piece, hearing past the surface.

So now that we are all locked down for a while, we can sit down and do some serious listening!

Right?