Harpsichord Concertos (BWV 1052-1064

Written By Cory Hall

Movts 1-3 (1:1 duration ratio, 9:00-9:00)

  • Beat ratio = 760:858 — (-4, +6) — 756:864 = 7:8

  • Tempo ratio = 84:96 = 7:8

  • 7:8 beat ratio ÷ 7:8 tempo ratio = 1:1 duration ratio — 9:00-9:00

Movts 1-2 (3:2 duration ratio, 9:00-6:00)

  • Beat ratio = 760:261 — (-4, -9) — 756:252 = 3:1

  • Tempo ratio = 42:96 = 7:16

  • 3:1 beat ratio ÷ 7:16 tempo ratio = 3:2 duration ratio — 9:00-6:00

Movts 1-3 (1:1 duration ratio, 8:15-8:15)

  • Beat ratio = 700:395 — (-7, +1) — 693:396 = 7:4

  • Tempo ratio = 84:48 = 7:4

  • 7:4 beat ratio ÷ 7:4 tempo ratio = 1:1 duration ratio — 8:15-8:15

Movts 1:2 (3:2 duration ratio, 8:15-5:30)

  • Beat ratio = 700:444 — (-7, +18) — 693:462 = 3:2

  • Tempo ratio = 84:84 = 1:1

  • 3:2 beat ratio ÷ 1:1 tempo ratio = 3:2 duration ratio — 8:15-5:30

Movts 1-2 (2:1 duration ratio, 8:20-4:10)

  • Beat ratio = 696:171 — (+4, +4) — 700:175 = 4:1

  • Tempo ratio = 84:42 = 2:1

  • 4:1 beat ratio ÷ 2:1 tempo ratio = 2:1 duration ratio — 8:20-4:10

Movts 2-3 (3:2 duration ratio, 4:10-3:46)

  • Beat ratio = 171:160 — (+4, +15) — 175:175 = 1:1

  • Tempo ratio = 42:64 ≈ 2:3

  • 1:1 beat ratio ÷ 2:3 tempo ratio = 3:2 duration ratio — 4:10-2:46

Movts 1-2 (1:1 duration ratio, 5:00-5:00)

  • Beat ratio = 420:468 — (+12) — 420:480 = 7:8

  • Tempo ratio = 84:96 = 7:8

  • 7:8 beat ratio ÷ 7:8 tempo ratio = 1:1 duration ratio — 5:00-5:00

Movts 2-3 (1:1 duration ratio, 5:00-5:00)

  • Beat ratio = 468:600  (+12, +30)  480:630 ≈ 3:4

  • Tempo ratio = 96:126 ≈ 3:4

  • 3:4 beat ratio ÷ 3:4 tempo ratio = 1:1 duration ratio — 5:00-5:00

Movts 1-3 (1:1 duration ratio, 3:30-3:30)

  • Beat ratio = 232:224 — (-8) — 224:224 = 1:1

  • Tempo ratio = 64:64 = 1:1

  • 1:1 beat ratio ÷ 1:1 tempo ratio = 1:1 duration ratio — 3:30-3:30

Movts 2-3 (2:3 duration ratio, 2:20-3:30)

  • Beat ratio = 168:224 = 3:4

  • Tempo ratio = 72:64 = 9:8

  • 3:4 beat ratio ÷ 9:8 tempo ratio = 2:3 duration ratio — 2:20-3:30

Movts 1-3 (3:2 duration ratio, 7:36-5:04)

  • Beat ratio = 426:488 — (-2) — 426:486 ≈ 7:8

  • Tempo ratio = 56:96 = 7:12

  • 7:8 beat ratio ÷ 7:12 tempo ratio = 3:2 duration ratio — 7:36-5:04

Movts 2-3 (2:3 duration ratio, 3:22-5:04)

  • Beat ratio = 213:488 — (-2) — 213:486 ≈ 4:9

  • Tempo ratio = 63:96 ≈ 2:3

  • 4:9 beat ratio ÷ 2:3 tempo ratio = 2:3 duration ratio — 3:22-5:04

Movts 1-2 (1:1 duration ratio, 4:23-4:23)

  • Beat ratio = 342:368 — (-6, +10) — 336:378 = 8:9

  • Tempo ratio = 84:63 = 4:3

  • 8:9 beat ratio ÷ 4:3 tempo ratio = 2:3 duration ratio — 4:00-6:00

Movt 3 (duration, 5:00)

  • Beats = 423 — (-2) — 420

  • Tempo = 84

  • 420 beats ÷ 84 tempo ratio = 5:00

Movts 1-2 (1:1 duration ratio, 5:15-5:15)

  • Beat ratio = 440:444 — (-4) — 440:440 = 1:1

  • Tempo ratio = 84:84 = 1:1

  • 1:1 beat ratio ÷ 1:1 tempo ratio = 1:1 duration ratio — 5:15-5:15

Movts 1-3 (3:2 duration ratio, 5:15-3:30)

  • Beat ratio = 444:356 — (-3, -20) — 441:336 = 21:16

  • Tempo ratio = 84:96 = 7:8

  • 21:16 beat ratio ÷ 7:8 tempo ratio = 3:2 duration ratio — 5:15-3:30

Movts 1-2 (2:1 duration ratio, 8:00-4:00)

  • Beat ratio = 672:378 — (+6) — 672:384 = 7:4

  • Tempo ratio = 84:96 = 7:8

  • 7:4 beat ratio ÷ 7:8 tempo ratio = 2:1 duration ratio — 8:00-4:00

Movts 2-3 (2:3 duration ratio, 4:00-6:00)

  • Beat ratio = 378:560 — (+6, +16) — 384:576 = 2:3

  • Tempo ratio = 96:96 = 1:1

  • 2:3 beat ratio ÷ 1:1 tempo ratio = 2:3 duration ratio — 4:00-6:00

Movts 1-2 (2:3 duration ratio, 4:10-6:15)

  • Beat ratio = 352:600 — (-2 beats, -6) — 350:600 = 7:12

  • Tempo ratio = 84:96 = 7:8

  • 7:12 beat ratio ÷ 7:8 tempo ratio = 2:3 duration ratio — 4:10-6:15

Movts 2-3 (1:1 duration ratio, 6:15-6:15)

  • Beat ratio = 600:462 — (-12) — 600:450 = 4:3

  • Tempo ratio = 96:72 = 4:3

  • 4:3 beat ratio ÷ 4:3 tempo ratio = 1:1 duration ratio — 6:15-6:15

Movt 1 (duration, 6:00)

  • Beats = 289 — (-1) — 288

  • Tempo = 48

  • 288 beat ratio ÷ 48 tempo = 6:00

Movts 2-3 (2:3 duration ratio, 4:10-6:15)

  • Beat ratio = 408:448 — (-24 beats) — 384:400 = 3:4

  • Tempo ratio = 96:72 = 4:3

  • 8:9 beat ratio ÷ 4:3 tempo ratio = 2:3 duration ratio — 4:10-6:15

Movts 1-3 (3:2 duration ratio, 8:00-5:20)

  • Beat ratio = 564:384 — (+8) — 576:384 = 3:2

  • Tempo ratio = 72:72 = 1:1

  • 3:2 beat ratio ÷ 1:1 tempo ratio = 3:2 duration ratio — 8:00-5:20

Movt 2 (duration, 6:00)

  • Beats = 376 — (+2) — 378

  • Tempo 63

  • 378 beats ÷ 63 tempo = 6:00

Cory Hall
Previous

Brandenburg Concertos (BWV 1046-51)