Showing posts with label key signatures. Show all posts
Showing posts with label key signatures. Show all posts

Monday, April 14, 2008

Score Reading: Clefs and Key Signatures


These questions pertain to the 10-measure instrumental excerpt shown above:

  • What are the clefs and key signature?
  • What is the rhythmic grouping?
  • What is the significance of each of the chromaticisms?
  • Where do the following nonharmonic tones occur and what types of dissonance result: accented neighboring tone (on 2 metrical levels)? articulated suspension?
  • What is the harmonic organization of the piece, specifically, the chords and cadences?
  • What tempo is appropriate for this Adagio?

Friday, April 4, 2008

Staff Notation: Clefs and Key Signatures


Some issues regarding the above excerpt for your consideration: 1] What are the clefs and key signature? 2] Which contrapuntal technique is freely used? 3] Which harmonic device appears from the beginning to the downbeat of measure 3?

Thursday, March 27, 2008

Staff Notation: Clefs and Key Signatures


The excerpt - in 3/4 meter - shown above is obviously for 3 instruments. The top line repeats a 1-measure motive, while the voice notated on the middle staff moves along in a continuous dotted rhythm. The lowest instrument plays a two-measure figure punctuated by a quarter rest.

For your consideration: 1] What are the clefs and key signature of the excerpt? 2] Where during the course of the 6-measures do complete triads occur on the beat? incomplete ones? 3] What is the significance of the chromaticism?

I am most interested in finding out different musicians’ methodologies in deriving the solution, so do write me a comment explaining your rationale if you have a moment.

Monday, March 17, 2008

Staff Notation: Clefs and Key Signatures


Most tonal music is notated with a key signature. It should be noted that ‘key’ and ‘key signature’ are not synonyms. F sharp major is a key; 6 sharps is a key signature. And most tonal music modulates from the home key and returns to it by the end of the piece. When the music moves to a secondary key, accidentals are inevitable, with special exception.

Let us use E flat major as a home key and consider its five diatonically related keys - F minor, G minor, A flat major, B flat major and C minor - in terms of the ‘accidental landscape’ when each of these secondary keys is in force: F minor - D flat, E natural; G minor - A natural, E natural, F sharp; A flat major - D flat; B flat major - A natural; C minor - A natural, B natural.

For minor keys, we shall use B minor, which like all minor keys, resides in a 9-note system including, in the case of B minor, the common accidentals G sharp and A sharp. Its related keys are D major, E minor, F sharp minor, G major and A major. For D major - this is the exception - accidentals disappear; E minor - C natural, D sharp; F sharp minor - G sharp, D sharp, E sharp; G major - C natural; A major - G sharp [and no A sharp].

An obvious conclusion can be drawn from this: as a musical score progresses, the music is not necessarily in the home key, or its attendant key signature, in every measure of the piece.

For your consideration: what are the clefs and key signature of the contrapuntal excerpt above? We can assume that the two clefs appear in order of register from bottom to top - bass, baritone, tenor, alto, mezzo soprano, soprano, treble. We should not assume, on the other hand, that the two clefs aren’t the same. There is more than one correct solution within these assumptions.

Saturday, March 15, 2008

Tonal Relationships: Transposition


The tonal organization of Schumann’s exquisitely beautiful song cycle, Dichterliebe, op. 48, is unique and quite special. Each of the 16 songs is in a different key, but never are two unrelated keys juxtaposed. The accompanying chart [1st column] indicates the succession of keys, starting in F sharp minor [1] and ending up in the closely related key of C sharp minor [16]. As the chart shows, this is not accomplished by any direct means, but rather, by an excursion first into keys with fewer sharps, followed by the two keys with no sharps or flats, on to keys with increasing numbers of flats, a jump from B flat major to its minor subdominant key of E flat minor [the only non-diatonic relationship in the cycle], on to C flat major - but written enharmonically as B major, and finally to both keys with signatures of 4 sharps.

Why does the title of this post refer to ‘transposition?’ Surely, we know that there exist editions of the lieder and chanson repertoire that are transposed, either up or down, from the original key. The reason for this is obvious: most vocalists have a specific range in which they sing comfortably, and much of the repertoire, in its original keys, does not always coincide with that range.

Two serious issues emerge: 1] is it of no concern to anyone that the altered keys possess entirely different characters than the originals? and 2] should pianists be expected to learn this repertoire in whatever key someone desires?

First things first. Vocal music is conceived by the composer in a specific tonality, the same as instrumental music. Schumann wrote his 2nd Symphony in C major - the same key as ‘Ich grolle nicht’ [no. 7]. His Piano Quintet is in E flat major - the same key as ‘Ein Jüngling liebt ein Mädchen’ [no. 11]. And the Violoncello Concerto is in A minor - the same key as ‘Und wüssten’s die Blumen’ [no. 8]. It is obvious that each key had a certain meaning to Schumann and to each of the master composers. With only rare exception, we don’t see transpositions of any of their instrumental music, so why the double standard? We don’t see transpositions of choral music either - imagine the ‘Dies Irae’ of the Verdi Requiem in E minor or the ‘Cum Sancto Spiritu’ of Bach's B minor Mass in E flat major? And we certainly don’t see transpositions of Mozart’s ‘Exultate, Jubilate’ down to D major for mezzo soprano, or worse yet, the operas.

As to the pianistic question: anyone who is a collaborative pianist knows that much of the lieder/chanson repertoire is as demanding technically as is chamber and solo piano music. Thus, for the same reasons that we wouldn’t suddenly decide to play Beethoven Sonatas or Chopin Ballades in the keys of our choice, we should not be called upon to participate in a distortion of the composer’s original intentions in vocal music, complete with potentially impossible technical challenges.

There is a much more troubling issue. In certain editions of Dichterliebe, for example, the ‘low’ key, there is a terrible distortion of the internal tonal architecture of the work. Referring once again to the chart, the center column indicates the interval down from the original key in which the transposed version appears. One would think that if a masterwork is to be transposed, at least the relative tonal structure should remain intact. Not in this case. Several of the resulting key relationships in certain editions are disturbing: D major moves to G minor [quite clumsily, in fact], B flat major is followed by F sharp minor, and C major goes to A major as well as the reverse. Also note that ‘Am leuchtenden Sommermorgen’ [no. 12] is only a minor 2nd lower than the original. Why bother? Schumann would probably be infuriated by all of this tampering, and would undoubtedly disapprove of the muddiness that some of the songs acquire in the lower register of the piano.

The most unfortunate aspect of all this is that the distortion of the tonal progression of Dichterliebe goes unnoticed by those who use faulty editions. I remember submitting a proposal to a ‘music theory society’ on the tonal organization of Dichterliebe, to be delivered at an all-Schubert/Schumann convention at which Dichterliebe was to be performed by a baritone. I was rejected because ‘the board decided that too many people applied from far away places’. I discovered later on - from the pianist who performed it - that my topic would have revealed that their performance was in fact a distortion and that my presentation would expose it. Well, doesn’t every fraud deserve a coverup?

My message here is not to attempt to put a stop to the practice of random transposition, but simply to encourage those who engage in this practice to know what they are doing. I shall never listen to Dichterliebe in any key other than the original, any more than I would listen to Brahms 4th Symphony in B flat minor.

Friday, March 14, 2008

Staff Notation: Clefs and Key Signatures


For the exercise in determining the clefs and key signature shown above, three assumptions can be made: 1) there aren’t necessarily three different clefs 2) the clefs are never ‘crossed’ 3) there is more than one correct solution.

Obviously, this is an imitative piece in three voices. Once the key is determined, consider these questions: 1) What is the range of all three voices? 2) What is the significance of the juxtaposition of the two consecutive sharp notes [dotted quarter to eighth] in measures 2, 3 and 4 in terms of conventional ‘scale’ nomenclature? 3] In which measures do complete triads - either in root position or inverted - occur as the result of the contrapuntal motion among the voices?

Wednesday, March 12, 2008

Staff Notation: Clefs and Key Signatures


Some questions for your consideration: 1] What are the clefs and possible key signature[s] of this three-part contrapuntal piece? 2] What is the harmonic basis for each measure? [example: F minor, root position; C# diminished, first inversion]. 3] Where does the greatest distance between any pair of voices occur? 4] The smallest? 5] Where do accented neighboring tones occur? 6] Where do consonant passing tones occur?

Sunday, March 9, 2008

Staff Notation: Clefs and Key Signatures


Some questions for your consideration: 1] What are the clefs and key signature of this short excerpt for piano? 2] How are the various chromatic elements explained? 3] What is striking about the upper melody with regard to intervallic inversion and motivic organization? 4] In which 'layer' of the upper melody does the primary structural line appear? 5] Who is the composer?

Saturday, March 8, 2008

Staff Notation: Clefs and Key Signatures


Without clefs and key signatures, there would appear to be no basis for rationalizing music on the printed page. But would it be possible to determine which clefs and key signatures are in force without their actual inclusion in the score? I believe so.

Schubert wrote hundreds of dances for solo piano throughout his life. One of these miniature gems, an ‘Ecossaise’, appears above. We can assume that the clefs are either bass below treble, two trebles or two basses inasmuch as most two-staff music is written for either a keyboard instrument or the harp. Trying out the bass/treble combination first would reveal that the music is in one of these four keys: A flat major, A flat minor, A major or A minor. The two minor keys can be ruled out because they would require an accidental to indicate the leading tone at least. As for A flat major and A major, there is no evidence on the first system in support of either one, but on the second system, four accidentals appear - A natural, A flat, G flat and E natural - clearly revealing the tonality to be A flat major.

The three [not four] chromatic pitches in this piece are all structural: A natural is part of the dominant of ii, G flat is part of the dominant 7th of IV, and E natural belongs to the dominant of vi. The A flat is obviously a cancellation of the preceding A natural, but its inclusion here is appropriate even though the A natural occurs two measures earlier and in a different octave register.

This is obviously not a complex example. In subsequent posts, I will put up excerpts in two, three, four, five and more staves.

Upcoming posts: a Bach autograph, Transposition of Vocal Music, Music Critics, Fixed vs. Moveable Do, Rhythmic Grouping: Bar Line Displacement

Wednesday, March 5, 2008

Tonal Relationships: D flat minor


It is not often that we encounter the key of D flat minor, the key signature of which would be 8 flats and the relative major of which is F flat major. Composers generally use the enharmonic key of C sharp minor with a mere 4 sharps in its key signature. In fact, in the A flat major Ballade of Chopin, an entire passage [mm. 157-193] which is functionally in D flat minor is notated in the 4-sharp key signature. The relationship of D flat minor to the home key of A flat major is that of the minor subdominant, or ‘minor IV’. It is a relationship based on mode mixture - the use of the opposite mode within a larger structure.

In Schubert’s A flat major Impromptu, op. 142, no. 2, the middle section is in the subdominant key of D flat major. Within that section is a passage in D flat minor, the parallel minor of D flat major, quoted above. Schubert accomplishes this not by an enharmonic key signature change but by writing in the accidentals F flat and B double flat when those pitches are required.

The excerpt also contains a beautiful example of ornamental chromaticism: the D naturals and F naturals in the 3rd measure act as accented passing tones on the downbeat and neighboring tones on the 3rd beat, all within a 2-measure rhythmic extension of the dominant.