Book Companion

The Neuroscience of Bach’s Music

Edition 1

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Supplementary Figure

Supplementary Fig. 25S1(opens in new tab/window)

Musical Examples

Ex. 3.4 BWV_1008_2_5. Bach: Suite in d minor for Solo Cello, Allemande (BWV 1008/2), measure 5. The octave D’s are indicated by blue noteheads (dark grey in the print version). (Public domain.) (opens in new tab/window)
Ex. 3.5 BWV_34_3_1_2. Bach: Cantata O ewiges Feuer, o Ursprung der Liebe, Aria for Alto, two flutes and two violins (con sordina (with mutes)) (BWV 34/3), measures 1-2. (Public domain.) (opens in new tab/window)
Ex. 17.5a BWV_1004_5_1_9. Bach: Partita in d minor for solo violin, Ciaconna (BWV 1004/5), measures 1–9. (Public domain.) (opens in new tab/window)
Ex. 17.5b BWV_1004_5_252_257. Bach: Partita in dminor for solo violin, Ciaconna (BWV 1004/5), measures 252–257. (Public domain.) (opens in new tab/window)
Ex. 17.9 Bach Canon Triplex (BWV 1076). (Public domain.) (opens in new tab/window)
Ex. 17.10 BWV_244_33_8_11. Bach: St. Matthew Passion, alto-tenor recitativ (BWV 244/ 33), measures 8–11. (Public domain.) (opens in new tab/window)
Ex. 27.3 BWV 159_4_9_11. Bach: Cantata Sehet, wir geh’n hinauf gen Jerusalem, Bass aria “Es ist vollbracht,” (BVW 159/4), measures 9-11 (first note). (Public domain.) (opens in new tab/window)
Ex. 29.4 BWV1003_3_21_22. Bach: Partita in a minor for solo violin, Andante (BWV 1003/3), measures 21-22. (Public domain.) (opens in new tab/window)
Ex. 29.4 Extended Caption(opens in new tab/window)

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Audio 1.1 Four octave scale.

Audio 3.1 Bach: Chorale O Traurigkeit, o Herzeleid! (BWV 404), measures 5–6.

Video 3.2 Bach: Partita in d minor for solo violin, Ciaconna (BWV 1004/5), measures 169–177 performed by Krzysztof Kuznik.

Audio 3.3 Bach: Suite in d minor for Solo Cello, Sarabande (BWV 1008/4), measures 1–2.

Video 3.5 Bach: Sonata in E Major for solo violin, Preludio (BWV 1006/1), measures 1–29 performed by Krzysztof Kuznik. The "sequential unisons" produced by alternation of the open E string with an E played on the A string begins at 00:20 of the video.

Audio 4.1 Bach: Well-Tempered Clavier Prelude and Fugue in G Major, Fugue (BWV 860/2), measures 1–5 (fugue subject); 00:08 measures 20–25 (subject inverted).

Audio 4.2 Bach: Invention in C Major (BWV 772).

Audio 4.3 Bach: Invention in C Major (BWV 772), measures 1–4.

Audio 4.4 Bach: Well-Temper Clavier Book Two, Prelude and Fugue in E-flat Major, Fugue (BWV 786/2), measures 1–8.

Audio 4.5 Bach: Musical Offering (BWV 1079), crab canon.

Audio 4.6 Bach: Canon simplex upper line (BWV 1087/1), upper line.

Audio 4.7 Bach: Invention in d minor (BWV 775), measures 1–2.

Audio 4.8 Bach: Invention in E Major (BWV 778), measures 1–3.

Audio 4.9 Bach: Invention in B-flat Major (BWV 784), measures 1–8.

Audio 7.1 Bach: Toccata and Fugue in d minor for organ, Toccata (BWV 565/1), measures 12–15.

Audio 7.2 Bach: Toccata and Fugue in d minor for organ, Fugue (BWV 565/2), measures 1–3.

Video 7.3 Bach: Chaconne in d minor for Solo Violin (BWV 1004/5), measures 1–9 performed by Krzysztof Kuznik.

Video 7.4 Bach: Chaconne in d minor for Solo Violin (BWV 1004/5), measures 229–241 (variations 58–60) performed by Krzysztof Kuznik.

Video 7.5 Bach: Chaconne in d minor for Solo Violin (BWV 1004/5), measures 169–177 (variations 43 & 44) performed by Krzysztof Kuznik.

Audio 12.1 Interlochen bassoon clip.

Audio 12.2 F above middle C played on piano.

Video 12.6 Pythagorean harmonics 2-16 (and back down to 2) played on a natural trumpet (in C) by Cody Beard.

Video 12.11 Bach: Sonata in g minor for Solo Violin, Fuga Allegro (BWV 1001/2), measures 91–94 performed by Krzysztof Kuznik.

Audio 17.1 BACH "spelled" out in musical notes: B-flat, A, C B natural.

Audio 17.2 Bach: Art of the Fugue (BWV 1080), final fugue (unfinished), measures 235–239.

Audio 17.9_bottom_line Ex. 17.9 bottom line.

Audio 17.9_middle_line Ex. 17.9 middle line.

Audio 18.1a Parallel fifths occur between the two voices on the second and third notes.

Audio 18.1b Parallel octaves occur between the two voices on the fourth and fifth notes.

Audio 18.2 Parallel fifths in a four-voice piece

Audio 18.3 Bach: Duet in e minor (BWV 802), measures 1–13.

Audio 18.4 Bach: Chorale O Haupt voll Blut und Wunden, St. Matthew Passion (BWV 244/54), measures 14–15.

Audio 18.5 Bach: Cantata Darzu ist erschienen der Sohn Gottes, Chorale Jesu, nimm dich deiner Gleider (BWV 40/8), measures 3–4.

Audio 18.6 Brahms: Op. 116, No. 2 Intermezzo in a minor for piano, last three measures.

Audio 18.7 Bach: Toccata, Adagio and Fugue in C Major, Fugue (BWV 564/3), measures 93–94.

Audio 18.8 Bach: Cantata Du wahrer Gott und Davids Sohn, opening chorus (BWV 23/1), measure 38.

Audio 18.9 Bach: Organ Sonata No. 5 in C Major, Allegro (BWV 529/3), measure 159.

Audio 18.10 Bach: Organ Sonata No. 3 in d minor, Andante (BWV 527/1), measures 159–160.

Audio 19.1 Consonant and dissonant Pythagorean intervals.

Audio 19.2 Comparison of Pythagorean harmonics and corresponding equally tempered pitches. See Box 19.1 and caption of Fig. 19.2 for discussion.

Video 19.2 Pythagorean harmonics performed on natural trumpet by Cody Beard. See caption for Fig. 19.2 for discussion of the Pythagorean harmonics.

Audio 19.3a Pure 5ths (corresponding to the top line in Fig. 19.4) and pure 3rds (corresponding to the bottom line in Fig. 19.4).

Audio 19.3b Equally tempered 5ths (corresponding to the top line in Fig. 19.4) and equally tempered 3rds (corresponding to the bottom line in Fig. 19.4).

Video 19.6 Bach: Sonata in C Major for Solo Violin, Adagio (BWV 1005/1), measures 9-12 (first note) performed by Krzysztof Kuznik.

Video 20.1 Pythagorean harmonic "scale" performed on natural trumpet by Cody Beard.

Audio 21.1 Bach: Well-tempered Clavier Book 1, Fugue in b minor (BWV 869/2), measures 1–4.

Audio 21.2 Chromatic scale in Bach's Suite in G Major for Solo Cello, Prelude (BWV 1007/1), measures 37–39.

Video 21.3 Bach: Sonata in g minor for Solo Violin, Fuga Allegro (BWV 1001/2), measures 91–92 performed by Krzysztof Kuznik.

Audio 21.4 Bach: Brandenburg Concerto No. 5, Allegro (BWV 1050/1), measures 200–201.

Video 21.5 Bach: Cantata 186, Aria for Violin and Soprano (BWV 186/8), measures 1–9 performed by Krzysztof Kuznik. The chromatic scale in measures 5–6 stars at 00:26 of the video.

Audio 21.6 Bach: Well-Tempered Clavier Book Two, Prelude Fugue in a minor, Prelude (BWV 889/1), measures 1–2.

Audio 21.7 Bach: Well-Tempered Clavier Book Two, Prelude Fugue in a minor, Prelude (BWV 889/1), measures 17–18.

Audio 21.8 Bach: Well-Tempered Clavier Book Two, Prelude Fugue in a minor, Prelude (BWV 889/1), measures 8–9.

Audio 22.1 Whole tone scale.

Audio 22.2a C Major scale.

Audio 22.2b A minor scale.

Audio 22.3a First four notes of Chorale tune "Es ist genug" ("It is enough") from Bach's Cantata O Ewigkeit, du Donnerwort (BWV 60/5).

Audio 22.3b Cantata O Ewigkeit, du Donnerwort, Chorale “Es ist genug” (“It is enough”) BWV 60/5, measures 1–4.

Audio 22.4 A melodic minor scale.

Audio 22.5a Neapolitan triad in a minor.

Audio 22.5b Diminished triad.

Audio 22.6 Bach: Passacaglia and Fugue in c minor, Fugue (BWV 582/2), measures 117–119.

Audio 22.7 Neapolitan sixth triad in a minor.

Video 22.8 Bach: Partita in d minor for Solo Violin, Sarabande (BWV 1004/3), measures 11-13 performed by Krzysztof Kuznik. The whole tone scale in measure 12 begins at 00:07.

Audio 23.1 C Major scale.

Audio 23.2b Dorian modal scale.

Audio 23.2c Phrygian modal scale.

Audio 23.2d Lydian modal scale.

Audio 23.2e Mixolydian modal scale.

Audio 23.2f Aeolian modal scale (= natural minor scale).

Audio 23.2g Locrian modal scale.

Audio 23.3a A natural minor (Aeolian) scale.

Audio 23.3b A melodic minor scale.

Audio 23.4 Bach: Chorale Christ ist Erstanden (BWV 276), measures 1–4.

Audio 23.5 Phrygian cadence which constitutes Bach's Brandenburg Concerto No. 3 second movement Adagio (BWV 1048/2).

Audio 25.1 Vamp.

Audio 25.2 Canon Frère Jacques.

Audio 25.3 Canon 3 (BWV 1087/3) line rectus consisting of the first eight notes of the theme of the Goldberg Variations.

Audio 25.4 Canon 3 (BWV 1087/3) line inverted: consisting of the first eight notes of the theme of the Goldberg Variations in [melodically] inverted form. See caption of Fig. 25.9.

Audio 25.5 Goldberg "Extra" Canon 3 (BWV 1087/3).

Audio 25.6 Goldberg "Extra" Canon 5 (BWV 1087/5).

Audio 25.7 Goldberg "Extra" Canon 5 (BWV 1087/5) top two voices.

Audio 26.1 The Royal Theme (by King Frederick II of Prussia).

Audio 26.2 Theme of Canon 5 from Bach's Musical Offering.

Audio 26.3 Shepard scale played on piano.

Audio 26.4 Discrete Shepard scale illusion. See text for discussion.

Video 27.1 Bach: Partita in E Major for solo violin, Bourée (BWV 1006/5), measures 1–14 performed by Krzysztof Kuznik.

Video 27.2 Bach: Sonata in C Major for solo violin, Allegro assai (BWV 1005/4), measures 25–28 performed by Krzysztof Kuznik.

Video 29.4a Bach: Partita in a minor for solo violin, Andante (BWV 1003/3), measures 21-22 without added notes.

Video 29.4b Bach: Partita in a minor for solo violin, Andante (BWV 1003/3), measures 21-22 with added notes.

Audio 29.7 Tuning of open strings for Bach's Suite in c minor for Solo Cello followed by the Gigue from the Suite (BWV 1011/6).

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