How to Approach Bach's Two-Part Inventions: Piano Lesson, Part 1 (Robert Estrin)

This comprehensive section provides complete analysis of Bach's Book I of the Well-Tempered Clavier, composed around 1722. The presenter explains the historical significance of equal temperament tuning, which allowed music to be played in all keys without retuning. The section covers fugue structure and counterpoint, defining a fugue as a contrapuntal composition based on a single subject introduced and developed through imitation, with components including subject, answer, countersubject, and episodes. The presenter analyzes all 24 preludes and fugues, examining the relationship between preludes (introductory pieces with free, improvisatory character) and fugues (rigorous contrapuntal technique). The section demonstrates BWV 846 (Prelude in C Major) through BWV 863 (Fugue in G-sharp Minor), showing how preludes explore harmonic and melodic ideas while fugues develop them systematically. The presenter explains how the collection serves as both a technical exercise and a demonstration of the keyboard's capabilities across all keys, with Bach's works serving as pedagogical tools while achieving profound artistic expression.

This video provides a detailed structural analysis of Bach's Fugue No. 6 in D Minor from the Well-Tempered Clavier Book 1, examining the subject's three-measure span with eighth notes (a), 16th notes (b), and quarter notes (c), the counter subject divided into head and tail parts, and the fugue's development through exposition, episodes derived from counter subject fragments, stretto occurrences, and a coda ending in D Major with a Picardy third.

A fugue begins with a subject, then a second voice enters with the answer (subject modulated up a fifth to the dominant key). The first voice continues with a counter subject, a new melodic material. The counter subject can appear in contrary motion. Bach's fugues demonstrate intricate interconnection where all parts relate back to the initial subject. Counterpoint balances horizontal melody with vertical harmony, creating music that is simultaneously logical and beautiful, complex and emotive.

This section provides a comprehensive breakdown of fugue structure. The subject is the primary melodic theme, typically appearing in the soprano voice. The answer responds to the subject, transposed by a perfect fourth or fifth interval, creating musical dialogue. The countersubject accompanies both subject and answer as a complementary 'partner melody.' The episode serves as a transitional section providing relief from main themes, functioning as a 'breathing space' that introduces variety. The codetta concludes the piece, providing final resolution and closure. Understanding these five structural elements allows performers to recognize the narrative arc within Bach's fugues and interpret them with appropriate musical sensitivity.

The spectacular fugal middle section begins with a subject set to the first text line, which is a spliced variant of the opening section. The counter subject (yellow) is a faster variant of the syncopated descending scale. The fugue has no episodes, being a compact display of contrapuntal prowess. The term 'stretto' means contrapuntal entries squeezed together temporally, with closer entries being more difficult to compose. Repeated notes in fugal subjects impart rhythmic distinctiveness without requiring harmonic movement, making them easier to combine with themselves. The first stretto features the orange repeated note figure, while subsequent layers create increasingly complex overlaps between voices.

Key Baroque ornaments include: 1) Appoggiatura - notated with small note slurred to big note, starting on dissonant note then resolving to consonant, always on beat, takes half note duration; 2) Trill - most common ornament, consists of two notes starting on upper note and on beat, can end with arriving point or turn; 3) Mordant - notated with zigzag (going up) or straight line (going down); 4) Turn - notated as 'S' on side, a turning figure between two notes. Additional ornaments include acciaccatura (lift between notes), tour de choc (three-note melodic figure), and vibrato (flutter tong).

Historical tablature from the Renaissance and Baroque periods (1400-1600) was the dominant notation system for plucked instruments like lute and guitar for over 400 years, and it contains essential performance information including ornamentation symbols (trills, mordents, appoggiaturas), slurs indicating hammer-ons and pull-offs, and fingering dots that reveal how composers intended their music to be played, which modern guitarists can learn to interpret to achieve more authentic and historically informed performances.

Ornaments are decorative musical elements that embellish melodies without changing their fundamental shape, functioning like decorations on a Christmas tree. The five main ornaments include: (1) Trills - rapid alternation between two notes a whole step apart, starting on the higher note; (2) Upper and Lower Mordents - quick turns between the written note and a higher or lower note respectively; (3) Turns - four-note patterns starting from the upper note, going below the first note, then back up; (4) Appoggiaturas - small notes beside main notes that delay resolution and are played on the beat; (5) Grace Notes - quick decorative notes played slightly before the beat, indicated by a slash through the note. These ornaments are notated in various ways including written-out notation, symbolic codes, or with asterisks, and their interpretation can vary by musical era and composer.

The video demonstrates Baroque ornamentation practices including trills, mordents, and other embellishments that were essential to Baroque performance. Performers execute these ornaments with appropriate timing and articulation. The video illustrates how Baroque musicians used ornamentation to decorate melodic lines and add expressiveness. Understanding these techniques is essential for authentic Baroque performance and appreciation.

Ornamentation in Bach's music is an inseparable part of Baroque performance tradition, requiring musicians to first thoroughly study the historical ornamentation table (including trills, mordents, appoggiaturas, and suspensions) and then internalize these rules to perform according to their artistic taste, with key principles including avoiding excessive chromaticism, executing ornaments within the main note's duration, and maintaining metrical integrity while allowing freedom in recitatives and cadences.

The notes surrounding your prima voce are called second voce or secondary voice. These notes are not inferior or unusable, but they simply don't sit within the most comfortable area of your vocal range. Developing advanced vocal technique helps singers utilize their second voce more fully, expanding their usable vocal range.

Advanced voicings include secondary dominants (V7/IV) and complex voicings like 13/4 chords. The instructor demonstrates how to use these techniques to add sophistication without changing underlying progressions. The instructor shows how to prepare for modulation by using specific voicings that lead smoothly into new keys. The key principle is that professional accompanists can move through different sections while keeping hand positions stable, making accompaniment more natural and manageable.

The second meaning of voicing involves dynamic balance within chords, where voices have relative importance: melody (soprano) is most important and requires more pressure, bass is second most important, and middle voices are tertiary and should be played softly. The third meaning refers to piano hammer voicing, which changes tone quality by softening or hardening hammers. Softening is done using a voicing tool with needles that prick felt, or by reshaping hammers to remove grooves formed by repeated strikes. Hardening uses special lacquer, reserved for special circumstances since it significantly changes tone quality and cannot be easily reversed.

Voicing means bringing out the melody while supporting harmony. The strongest fingers (1st and 2nd) bring out the melody while weaker fingers (4th and 5th) are lighter. Sound comes from the arm, not just the little finger. Students can practice by playing chords and not removing other notes, then learning to voice the top note while keeping other notes softer. This requires supporting sound from the arm, not just finger strength.

When playing accompaniment, identify which voice to highlight first (such as the top voice) and then the bottom voice. Using the first finger to highlight the top voice prevents the texture from becoming too heavy and uniform. In dense textures, highlight a specific voice in the accompaniment to prevent everything from becoming too thick. When playing melody with weak fingers, maintain voicing in the accompaniment by imagining every single note. To highlight a melody, imagine the voice coming closer to you, which makes it more audible even in soft textures. This technique allows the melody to float clearly above the accompaniment.