Book Companion

The Neuroscience of Bach’s Music

Edition 1

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Supplementary Figure

Supplementary Fig. 25S1 opens in new tab/window (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 (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 (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 (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 (opens in new tab/window)
Ex. 17.9 Bach Canon Triplex (BWV 1076). (Public domain.) opens in new tab/window (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 (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 (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 (opens in new tab/window)
Ex. 29.4 Extended Caption opens in new tab/window (opens in new tab/window)

Audio 1.1 Four octave scale. opens in new tab/window

Audio 3.1 Bach: Chorale O Traurigkeit, o Herzeleid! (BWV 404), measures 5–6. opens in new tab/window

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

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

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. opens in new tab/window

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). opens in new tab/window

Audio 4.2 Bach: Invention in C Major (BWV 772). opens in new tab/window

Audio 4.3 Bach: Invention in C Major (BWV 772), measures 1–4. opens in new tab/window

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

Audio 4.5 Bach: Musical Offering (BWV 1079), crab canon. opens in new tab/window

Audio 4.6 Bach: Canon simplex upper line (BWV 1087/1), upper line. opens in new tab/window

Audio 4.7 Bach: Invention in d minor (BWV 775), measures 1–2. opens in new tab/window

Audio 4.8 Bach: Invention in E Major (BWV 778), measures 1–3. opens in new tab/window

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

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

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

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

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

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

Audio 12.1 Interlochen bassoon clip. opens in new tab/window

Audio 12.2 F above middle C played on piano. opens in new tab/window

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

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

Audio 17.1 BACH "spelled" out in musical notes: B-flat, A, C B natural. opens in new tab/window

Audio 17.2 Bach: Art of the Fugue (BWV 1080), final fugue (unfinished), measures 235–239. opens in new tab/window

Audio 17.9_bottom_line Ex. 17.9 bottom line. opens in new tab/window

Audio 17.9_middle_line Ex. 17.9 middle line. opens in new tab/window

Audio 18.1a Parallel fifths occur between the two voices on the second and third notes. opens in new tab/window

Audio 18.1b Parallel octaves occur between the two voices on the fourth and fifth notes. opens in new tab/window

Audio 18.2 Parallel fifths in a four-voice piece opens in new tab/window

Audio 18.3 Bach: Duet in e minor (BWV 802), measures 1–13. opens in new tab/window

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

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

Audio 18.6 Brahms: Op. 116, No. 2 Intermezzo in a minor for piano, last three measures. opens in new tab/window

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

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

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

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

Audio 19.1 Consonant and dissonant Pythagorean intervals. opens in new tab/window

Audio 19.2 Comparison of Pythagorean harmonics and corresponding equally tempered pitches. See Box 19.1 and caption of Fig. 19.2 for discussion. opens in new tab/window

Video 19.2 Pythagorean harmonics performed on natural trumpet by Cody Beard. See caption for Fig. 19.2 for discussion of the Pythagorean harmonics. opens in new tab/window

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). opens in new tab/window

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). opens in new tab/window

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

Video 20.1 Pythagorean harmonic "scale" performed on natural trumpet by Cody Beard. opens in new tab/window

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

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

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

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

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. opens in new tab/window

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

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

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

Audio 22.1 Whole tone scale. opens in new tab/window

Audio 22.2a C Major scale. opens in new tab/window

Audio 22.2b A minor scale. opens in new tab/window

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). opens in new tab/window

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

Audio 22.4 A melodic minor scale. opens in new tab/window

Audio 22.5a Neapolitan triad in a minor. opens in new tab/window

Audio 22.5b Diminished triad. opens in new tab/window

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

Audio 22.7 Neapolitan sixth triad in a minor. opens in new tab/window

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. opens in new tab/window

Audio 23.1 C Major scale. opens in new tab/window

Audio 23.2b Dorian modal scale. opens in new tab/window

Audio 23.2c Phrygian modal scale. opens in new tab/window

Audio 23.2d Lydian modal scale. opens in new tab/window

Audio 23.2e Mixolydian modal scale. opens in new tab/window

Audio 23.2f Aeolian modal scale (= natural minor scale). opens in new tab/window

Audio 23.2g Locrian modal scale. opens in new tab/window

Audio 23.3a A natural minor (Aeolian) scale. opens in new tab/window

Audio 23.3b A melodic minor scale. opens in new tab/window

Audio 23.4 Bach: Chorale Christ ist Erstanden (BWV 276), measures 1–4. opens in new tab/window

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

Audio 25.1 Vamp. opens in new tab/window

Audio 25.2 Canon Frère Jacques. opens in new tab/window

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

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. opens in new tab/window

Audio 25.5 Goldberg "Extra" Canon 3 (BWV 1087/3). opens in new tab/window

Audio 25.6 Goldberg "Extra" Canon 5 (BWV 1087/5). opens in new tab/window

Audio 25.7 Goldberg "Extra" Canon 5 (BWV 1087/5) top two voices. opens in new tab/window

Audio 26.1 The Royal Theme (by King Frederick II of Prussia). opens in new tab/window

Audio 26.2 Theme of Canon 5 from Bach's Musical Offering. opens in new tab/window

Audio 26.3 Shepard scale played on piano. opens in new tab/window

Audio 26.4 Discrete Shepard scale illusion. See text for discussion. opens in new tab/window

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

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

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

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

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). opens in new tab/window

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