Monthly Archives: February 2007

assignments_musth2

(musicTheory2) Assignment: Tonicization 2 updated

(Due 3/5) Workbook:

  • p. 179, 4C (given figured bass, add alto and tenor, Roman numerals. Unless the secondary dominant seventh or LEADING TONE SEVENTH substitutes for a predominant, enclose the Roman numeral in parentheses.
    • Note: there is an error with the figured bass on the second beat of the first measure. The slash-4 over natural should be slash-4 over 2.
  • p. 180, 5A. Note that this exercise is designed to use tonicizations of all the primary diatonic triads other than tonic. (/IV, /iii, /vi, /ii, /V) “Harmonize” means complete in four voices.
  • pp. 180 – 181, 6A (Analysis and Reduction)
lectureNotes_musth2

(musicTheory2) Lecture Notes: Secondary Dominants 2

Addition to Previous Post on Secondary Dominants

I left out an important step in the process for identifying and resolving secondary dominants when given the secondary dominant (without a resolution). Here’s the list of steps. Number 3 is new.

If you’re given a secondary dominant without a Roman numeral (like #2), use the following process:

  1. Identify the quality of the given secondary dominant.
  2. Use the quality of the secondary dominant to determine the temporary tonic.
    1. If the chord is a major triad, it is V/, and the temporary tonic is a fifth below the root.
    2. If the chord is a major/minor seventh chord, it is V7/, and the temporary tonic is a fifth below the root.
    3. If the chord is a diminished triad, it is vii°/, and the temporary tonic is a half step above the root.
    4. If the chord is a diminished seventh chord, it is vii°7/, and the temporary tonic is a half step above the root.
  3. NEW: Identify the harmony of the temporary tonic according to the given key. For example, in the key of C major A-C#-E-G is V7 of something. A fifth below A gives the temporary tonic D. D is the second scale degree of C major. So, the result is that the secondary dominant is V7/ii, moving to ii.
  4. Resolve the secondary dominant according to its tendency tones and partwriting guidelines. Depending on the inversion of the secondary dominant, you may end up with a root position or first inversion triad as the temporary tonic. Note: you should never end up with a temporary tonic in second inversion.
  5. Label both the secondary dominant and the temporary tonic with the appropriate Roman numerals, with proper inversion for the secondary dominant, and proper inversion of the resulting temporary tonic for its chord. For example, V42/V – V6 is the proper labeling of a chord sequence. We indicate the inversion of the secondary dominant and the temporary tonic, but we don’t have to bother with labeling the inversion of the temporary tonic as part of the secondary dominant. (V42/V6 is not necessary)
    The temporary tonic will be a diatonic harmony in the key.

Common Tonicizations

In major, in descending order: V, IV and ii, vi, iii. You never tonicize the leading tone harmony (vii° or vii°7). Tonicizing V can occur either as a substitution for a predominant harmony (ii or IV), or as a chromatic insertion between a predominant and dominant harmony. In the former case, the secondary dominant is essential, and its bass and soprano will be stemmed in your analytic reduction. If the latter case, the secondary dominant is embellishing. It’s Roman numeral will be in parentheses, it’s note heads unstemmed in reduction, and you will slur from the predominant to the dominant in the soprano and bass.

Tonicizing V is quite common leading into Half Cadences, with V7/V acting as an essential predominant harmony. It is also common as part of a tonic prolongation to begin phrases (I – V4,2/V – V6 – I). Tonicizing IV usually happens at the beginnings or ends of phrases (as a tonic prolongation in both cases). V7/ii can be used in harmonic sequences (V7/ii – ii – V7 – I). V7/vi and vii°7/vi can occur as part of deceptive progressions, strengthening the deceptive move to vi.

In minor, tonicizing III with a secondary dominant does not require chromatic alteration, and sounds as if you are moving temporarily to the relative major. Tonicizing VI only requires alteration if you have the chordal seventh present. It is possible to tonicize VII in minor (but not #^7).

Secondary Dominants in Succession

It is possible to move from secondary dominant seventh directly to another secondary dominant seventh. (For example, V7/iii – V7/vi – V7/V – V7/V – V7 – I) When a secondary dominant seventh chord moves to another dominant seventh chord (secondary or primary), special voice leading is required. The chordal seventh will resolve down, as usual, to the leading tone (chordal third) of the next dominant seventh chord. The leading tone of each dominant seventh will move down by half step (m2 or A1) to be come the chordal seventh of the next chord. The result will be two voices moving down by half steps over the chain of seventh chords.

Assignments_cm1 computerMusic1

(compMus1) Listening List 2

The second set of listening is available now at <my.bsu.edu>.

The listening quiz will be 3/22.

computerMusic1

(compMus1) Project 2 Individual Meeting Times

Here’s the schedule for meeting times this week to talk about your second creative project. I only heard from 5 people about preferred times, or if anyone can meet after class. With the lack of response, I just filled in names.

If anyone has a conflict, please let me know right away.

Please show up to your meeting a few minutes early so that you can transfer your files from the server and set up your DP session.

Tuesday

  • 12:30    Frost
  • 12:50    Marquissee
  • 1:10    Gore
  • 1:30    Tharp
  • 1:50    Black
  • 2:10    Baxter
  • 2:30    Cesarz
  • 2:50    Kleeman

Thursday

  • 12:30    Brown
  • 12:50    Lockwood
  • 1:10    Harris
  • 1:30    Miller
  • 1:50    Clinger
  • 2:10    Fugate
  • 2:30    Adams
lectureNotes_cm1

(compMus1) Granular Synthesis

Overview

  • Any sound can be thought of as containing discrete particles. (Mosaic or Pointillism)
  • A grain of sound typically lasts from 1 to 100 ms.
  • Each grain shaped by an amplitude envelope.
  • Sound parameters (pitch, panning, duration, envelope, location in sound file, wave type, etc) change on a grain-by-grain basis. Parameters are static within each grain.

High-Level Organization

Because of the number of grains that can be in play at one time, control of grain parameters is usually organized by functions of parameter of changes over time. Overall organization can be categorized according to how a change in one parameter affects changes in other parameters.

  • Pitch Synchronous: control of grain parameters linked to synthesizing desired pitch and formant content. Pre-analysis of sampled sound is needed. The result is sonically similar to a buzz generator fed into formant filters.
  • Quasi-Synchronous Streams: grain length can be modified independently, but grains usually follow at regular intervals. Quasi-synchronous streams are usually used for time compression/expansion and transposition. This organizational technique is commonly implemented in commercial synth’s and software, such as Kontakt.
  • Asynchronous Clouds: all parameters are independently controlled. Has been compared to controlling a jet spray water nozzle.

Compositional Approaches for Using Granular Synthesis

  • Isolate a single sound or gesture in a soundfile, with just a little silence around it.
  • Use Th0nk with the Hectic preset to generate a number of variations of the gesture.
  • Isolate individual gestures in the output for further processing. (phase vocoding can work well on Hectic output.)
  • Use the Flowing preset to create slowly evolving textural sounds that you can use for background layers in your composition.
  • Use Cecilia and the stretcher module to time expand with more parameter control. You can randomize the grain length within boundaries, shift pitch over time, or change the panning of grains. Short grain lengths give a more tremelo effect; longer grains sound smoother.
  • Use Cecilia and the warper module to time expand/compress with smoother results (generally) than stretcher. Glissando effects are very nice with warper.

Time Stretching, Phase Vocoding, and a little more on Th0nk

  • Inharmonic sounds (sounds with partials that are not integer multiples) are harder to phase vocode without artifacts. You can still get interesting results, but the process usually results in noticeable artifacts.
  • Since Th0nk only will stretch to 1 or 5 minute(s), add silence to the soundfile to get the desired expansion factor. (Example, a 5 second file will be expanded 12x to one minute. If you only want to expand it 3x, add 15 seconds to it. 20 seconds expands 3x.)
assignments_musth2

(musicTheory2) Assignment: Tonicization 1

Workbook, pp. 175 – 177. #1 and #2, all.

Be sure to check out the lecture notes for the topic.

lectureNotes_musth2

(musicTheory2) Lecture Notes: Secondary Dominants 1

Hierarchy (high to low)

  • Key Change
  • Modulation
  • Tonicization
  • Chromatic inflection/embellishment

Chromatic Inflection/Embellishment

Any chromatic alteration of a pitch that does not fit the current tonal area (loosely, the “key”). Absent a “higher” function, chromatic inflections are just embellishments (chromatic neighbor, chromatic passing tone). Later on we’ll learn about “borrowed” chords, or modal mixture.

Tonicization

Tonicization is a process by which a scale degree other than tonic temporarily assumes tonic function. Assuming tonic function usually means that a scale degree has been approached by a dominant harmony. Although temporary tonicization is a redundant term, it may help you distinguish the process from modulation.

Secondary Dominants (Applied Dominant)

Major and minor tonalities each have one set of primary dominants: V, V7, vii°, and vii°7. All of these primary dominants lead directly to tonic (except for deceptive progressions and harmonic sequences). Secondary dominants are dominant harmonies that lead to a temporary tonic (other than the tonic scale degree of the current tonal area). Secondary dominants are necessary for the process of tonicization. Any of the scale degrees, other than the leading tone, can be temporarily tonicized by approaching it with its corresponding dominant (V or V7) or leading tone (vii° or vii°7) harmony.

Since there is only one dominant or leading tone relationship in any key, chromatic alterations of diatonic harmonies are necessary for secondary dominants. For example, if I wanted to tonicize the fifth scale degree of F major (C), I would need a dominant harmony built on G (G is a fifth above C). To build a V7 on G I would need the notes G, B, D, and F. The key of F major, however, includes a B-flat. So to create a secondary dominant (V7) of V in F, I would need to chromatically alter the B flat, making it a B natural. If I wanted to use a leading tone seventh chord (vii°7) to tonicize the same note (C in F major), I would need to build a fully-diminished seventh chord on the leading tone to C. The result would be B, D, F, and A flat. In F major, the B would have to be altered from the key (B flat to B natural), as would the A flat (A natural to A flat).

Secondary Dominants and Roman Numerals

Although secondary dominant V7 chords are usually built on diatonic scale degrees, the resulting harmony is not diatonic, nor does the original diatonic Roman numeral label accurately describe the harmonic function. In the above example, G is the second scale degree of F major. A ii7 chord would be G, B flat, D, and F. A secondary dominant of C, built on G, is G, B natural, D, and F. The Roman numeral for this V7/V, read as V7 “of” V. (the slash = of) The leading tone seventh on B (tonicizing C in F major) would be vii°7/V (vii° of V).

Be sure to properly label inversions of secondary dominants. For example, if B natural was in the bass of the secondary V7 of V, the appropriate indication would be V65 (imagine the proper vertical alignment).

Writing and Identifying Secondary Dominants (or how to do your homework)

Given a chord to tonicize, and a Roman numeral indication of the desired secondary dominant (like #1 of the current assignment), you will need to do the following:

  1. Identify the root of the secondary dominant. For V/ or V7/, the root will be a fifth above the root of the target (temporary tonic) chord.
  2. Spell the secondary dominant (major triad, or major/minor seventh chord).
  3. Make the necessary chromatic alteration.
  4. Voice the chord according to indicated inversion, and with tendency tones in the secondary dominant resolving correctly.

The above should be your thought process. The physical act may change the order, with 4 happening before 3 (the alteration). But you really need to think it about it in the above order. You’re spelling a harmony that will have chromatic alterations. Recognize what those alterations will be before you write the chord.

If you’re given a secondary dominant without a Roman numeral (like #2), use the following process:

  1. Identify the quality of the given secondary dominant.
  2. Use the quality of the secondary dominant to determine the temporary tonic.
    1. If the chord is a major triad, it is V/, and the temporary tonic is a fifth below the root.
    2. If the chord is a major/minor seventh chord, it is V7/, and the temporary tonic is a fifth below the root.
    3. If the chord is a diminished triad, it is vii°/, and the temporary tonic is a half step above the root.
    4. If the chord is a diminished seventh chord, it is vii°7/, and the temporary tonic is a half step above the root.
  3. Resolve the secondary dominant according to its tendency tones and partwriting guidelines. Depending on the inversion of the secondary dominant, you may end up with a root position or first inversion triad as the temporary tonic. Note: you should never end up with a temporary tonic in second inversion.
  4. Label both the secondary dominant and the temporary tonic with the appropriate Roman numerals, with proper inversion for the secondary dominant, and proper inversion of the resulting temporary tonic for its chord. For example, V42/V – V6 is the proper labeling of a chord sequence. We indicate the inversion of the secondary dominant and the temporary tonic, but we don’t have to bother with labeling the inversion of the temporary tonic as part of the secondary dominant. (V42/V6 is not necessary)
    The temporary tonic will be a diatonic harmony in the key.
!General computerMusic1 musicTheory2

Performance at BSU Art Museum


If you have the opportunity, this Sunday Jesse Allison and I will be performing one of the exhibits in the “Engaging Technology” exhibition at the BSU Art Museum. The piece, Messa di Voce, generates real-time animation in response to vocal or other sound input. The performers can use their shadows to interact with the real-time animation.

It’s a really interesting piece. Afterwards (or until the exhibit closes in March) you can have your own shot at performing.

More info about the work online

More about the exhibit (BSU Art Museum)

assignments_musth2

(musicTheory2) Assignment: Harmonic Sequences 2


Workbook

p. 167 #2 D and E
(instructions from p. 166: The passages in Example 20.2 employ more elaborated textures. Complete them in sequential fashion, noting that examples A – C employ thre-voice texture. Identify the basic type of sequence illustrated in each passage, as in Example 20.1. Place a framing Roman numeral at the opening and ending of each example and use figured bass symbols to denote the sequential motion.)

p. 170 #4 C

p. 173 #6 D (Reduction; staves are on p. 174, as is key indication)

assignments_musth2

(musicTheory2) Assignment: Harmonic Sequences 1


Workbook pp. 165 – 166, #1 A and C, #2 A.

(due 2/23)