Daily Archives: August 30, 2007

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(musTh211) Review Materials: Part-Writing Tips

Goal

In part-writing exercises, the goal is to create smooth movement between harmonies while keeping the four voices relatively independent.

Smooth Movement Means:

  • Step-wise motion dominates. (the bass exhibits more leaps, but still moves mainly by step)
  • Common tones between two successive harmonies will usually be kept in the same voice.
  • No large leaps (>5), except for bass. (the bass often leaps an octave down at cadences, and can leap a sixth down to move from tonic to first inversion tonic)
  • No augmented melodic intervals. (augmented intervals within chords are fine, if the tones fit into the chord) Augmented intervals usually occur in minor keys, or with movement to secondary tonicizations (V/V, vii°/V, etc., where you have altered/raised pitches). Diminished melodic intervals are fine.
  • In minor, always approach the leading tone from above. (this is related to the previous point)

Relative Independence Means:

  • No parallel P8, P5, or their octave equivalents. This creates the impression that the voices are linked.
  • Upper voice pairs (S-A, A-T) must remain within an octave of each other. Wide spacing (>8) creates separation into sub-groups.
  • No doubling of tendency tones (the leading tone of the key, the root and fifth of any diminished or augmented triad, and the chordal seventh). Doubling these tones creates the impression that these voices will move in parallel, whether they do or not.
  • Voices rarely cross (appear above or below adjacent voices) or overlap (move above or below where an adjacent voice was in the previous harmony). Crossing and overlapping confuse the listener’s perception of the melodic line for a particular voice. (two voices can double a note at the unison, but to avoid overlapping they must approach and leave the unison by contrary motion)

Chord spacing within a single harmony is usually an aesthetic choice, as long as other part-writing guidelines are being followed.

Doubling of chord tones should be thought of guidelines, except when dealing with tendency tones.

Part-Writing Goals in Practice

  • Whenever possible keep common tones in the same voice, and move the remaining voices to the closest chord tone.
  • Contrary motion between bass and upper voices will usually help you avoid parallel perfect intervals, and will reinforce independence among voices.
  • Move by step whenever possible. Upper voices should generally avoid two successive leaps that do not outline a triad.
  • Descend to the leading tone in minor.
  • Choose your doublings to allow for the smoothest motion between harmonies (common tones and step-wise motion), assuming tendency tones are not involved.
    • Generally double the root of root position major and minor triads, but not if it leads to part-writing problems. The same for the soprano of first inversion triads.
    • Seventh chords in root position either do not have anything doubled, or have the root doubled and the fifth omitted.
    • Seventh chords in inversion will always be complete, without anything doubled.
    • It is not uncommon for the final tonic triad to have a tripled root and one third.
    • It is very uncommon to double two separate chord tones (i.e., the root and the third are both doubled, with the fifth omitted).
    • The chordal third must always be present.

Other Things to Consider

  • When given a soprano or bass line, be careful whenever the soprano has a leap (large or small) in either direction, and whenever the bass leaps up. Downward leaps in the soprano and upward leaps in the bass can lead to voice overlaps. Upward leaps in the soprano can lead to spacing problems between soprano and
    alto parts. Look at the given parts and plan ahead. (You usually can’t fix things just by changing one chord before the problem.)
  • Finally, check your work. Look at individual lines for augmented intervals. Notice how you approach and leave perfect intervals. Make sure leading tones are not doubled (including thirds of secondary V chords). Make sure that chordal sevenths are not doubled.
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(musTh211) Review Materials: Writing and Resolving V7 Chords

Resolving The Dominant Seventh Chord

Both Chords Complete

  • Both chords can be complete only if the leading tone is not in the soprano.
  • The chordal seventh (ˆ4) always resolves to scale degree ˆ3, downward by step. There are no exceptions!
  • If the leading tone of a V7 occurs in an inner voice, it will normally leap downward to ˆ5. (ˆ7 to ˆ5)
  • Scale degree ˆ2 always resolves to ˆ1.
  • The basic summary:

7th (ˆ4) —> (ˆ3) third
5th (ˆ2) —> (ˆ1) root
3rd (ˆ7) —> (ˆ5) fifth
root (ˆ5)—> (ˆ1) root

Note that all the upper voices (SAT) resolve downward in this situation.

If the leading tone is in the soprano, then it must resolve up by step (ˆ7 – ˆ8). If both V7 and I are in root position, then either the V7 or the I must be incomplete.

Incomplete V7

  • Incomplete V7 chords omit the fifth, doubling the root.
  • All tendency tones resolve (chordal seventh and Leading Tone).
  • The doubled root (not in bass) allows for a common tone between V7 and I.

7th (ˆ4) —>(ˆ3) third
3rd (ˆ7) —>(ˆ1) root
root (ˆ5)—>(ˆ5) fifth
root/bass (ˆ5)—>(ˆ1) root

!General musicTheory3

View my calendar online

Under the “GENERAL INFORMATION” header on the right I’ve posted a link to my online calendar. (Use command-click or right-click to open in a new window.) If you have a Google account, you can subscribe to my calendar, and can make it appear alongside yours when you’re logged in. Alas, you can’t tell what I’m doing by looking at my calendar, just that I’m “busy.” A lot.

If any of you need to make an appointment with me, you can take a look at my calendar and suggest a free time or two in an email to me. That can speed up the process of finding a time to meet.

Note: although my calendar might not say I’m busy after 4pm, I’m rarely here much after that.

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(musTh211) Assignment 5: Create a WordPress.com Account!

Due Friday, 9/7:

Go to wordpress.com, the host of this blog, and CREATE AN ACCOUNT FOR YOURSELF! Once you’ve created an account for yourself, let me know by posting a comment to this assignment.

Apologies for shouting, but the discussion capabilities of this blog will work much better if you start responding to lecture notes and/or assignment posts with your questions as they come up (rather than saving it for the next class and struggling on your homework). And the only way you can post a comment to my blog is to have a wordpress account. (This cuts down on spam.)

WordPress.com has a big button in the upper right that lets you create an account or blog. You don’t need to create a blog to have an account, creating an account is free, and I never get unwanted email from wordpress. (In other words, there is no downside.) If you have problems creating an account, email me, or see me during the day.

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(musTh211) Assignment 4: Modal Exchange 1

Due Friday, 8/31

Workbook:

p. 255, #1, B – K
p. 256, #2,  A – D, F – H (note: skip E!!!! It’s a Gauldin trick question.)

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(musTh211) Ch. 28: Modal Exchange intro

What the book refers to as “modal exchange” is sometimes referred to as modal mixture, or borrowed chords. The harmonic palette is expanded through the use of scale degrees and harmonies from the parallel major or minor mode.

Most modal exchange involves bringing harmonies from the parallel minor into the major mode. The lowered scale degrees are flat-^3, flat-^6, and flat-^7, resulting in the following chords:

  • i (minor tonic, utilizing flat-^3): mainly an embellishing or transient harmony, not as the goal of a cadence.
  • ii° and iv (diminished supertonic and half-diminished supertonic seventh, minor subdominant, both utilizing flat-^6): as predominant harmonies, embellishing harmonies (I – iv64 – I), or as embellishments of their major-mode counterparts. Note that the scale degree flat-^6 will almost always move to the fifth scale degree (^5).
  • bVI (flat submediant, involving flat-^6 and flat-^3): as part of a deceptive cadence or harmonic progression from V. It’s less likely to move directly to the dominant (but still can).
  • bIII and bVII are used less frequently (bVII least of all).

Note that the case of the Roman numeral tells us the quality of the harmony. If the root of the harmony is altered from the current mode, then this must also be indicated (bVI is built on the flat-^6 scale degree in major).

For part-writing purposes, flats tend to move downward to the next harmony. Flat-^6 almost always goes to ^5. Be particularly careful that you don’t create augmented melodic (linear) intervals through the use of modal exchange.