Harpsichord Concertos (BWV 1052-1064)
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
