Brandenburg Concertos (BWV 1046-1051)
(Brandenburg Concerto No. 1 still in progress)
The first and third movements have a close 7:4 beat ratio, 476:278, and 7:8 tempo ratio, 84:96, resulting in a close 2:1 duration ratio, 5:37-2:53. The second movement has a duration a little over four minutes, 4:03. One more measure for the first movement, 120, and three fewer measures for the third movement, 136, result in a 7:4 beat ratio, 476:272, and a 2:1 duration ratio, 5:40-2:50. In addition, the second and third movement have a 1:2 tempo ratio, 48:96. One less measure for the second movement, 64, results in a duration of four minutes.
• Movements 1-3 —> 7:4 beat ratio, 7:8 tempo ratio, 2:1 duration ratio (7/4 ÷ 7/8 = 2/1)
• Movement 2 —> 64 measures (192 beats) of 3/4 at 48 bpm = 4:00 (192 ÷ 48 = 4)
• Movements 2-3 —> 2:3 tempo ratio, 48:96
The first and third movements have a close 7:4 beat ratio, 476:278, and 7:8 tempo ratio, 84:96, resulting in a close 2:1 duration ratio, 5:37-2:53. The second movement has a duration a little over four minutes, 4:03. One more measure for the first movement, 120, and three fewer measures for the third movement, 136, result in a 7:4 beat ratio, 476:272, and a 2:1 duration ratio, 5:40-2:50. In addition, the second and third movement have a 1:2 tempo ratio, 48:96. One less measure for the second movement, 64, results in a duration of four minutes.
• Movements 1-3 —> 7:4 beat ratio, 7:8 tempo ratio, 2:1 duration ratio (7/4 ÷ 7/8 = 2/1)
• Movement 2 —> 64 measures (192 beats) of 3/4 at 48 bpm = 4:00 (192 ÷ 48 = 4)
• Movements 2-3 —> 2:3 tempo ratio, 48:96
The first and third movements share a 3:2 duration ratio, 7:36-5:04, while the second and third movements share a 2:3 duration ratio, 3:22-5:04. Six fewer measures for the first movement, 420, one less measure for the second movement, 70, and four fewer measures for the third movement, 240, result in 3:2 and 2:3 duration ratios, 7:30-5:00 and 3:20-5:00.
• Movements 1-3 —> 7:8 beat ratio, 7:12 tempo ratio, 3:2 duration ratio (7/8 ÷ 7/12 = 3/2)
• Movements 2-3 —> 4:9 beat ratio, 2:3 tempo ratio, 2:3 duration ratio (4/9 ÷ 2/3 = 2/3)
The first and third movements share a 3:2 duration ratio, 7:36-5:04, while the second and third movements share a 2:3 duration ratio, 3:22-5:04. Six fewer measures for the first movement, 420, one less measure for the second movement, 70, and four fewer measures for the third movement, 240, result in 3:2 and 2:3 duration ratios, 7:30-5:00 and 3:20-5:00.
• Movements 1-3 —> 7:8 beat ratio, 7:12 tempo ratio, 3:2 duration ratio (7/8 ÷ 7/12 = 3/2)
• Movements 2-3 —> 4:9 beat ratio, 2:3 tempo ratio, 2:3 duration ratio (4/9 ÷ 2/3 = 2/3)
The first and third movements have a close 7:6 beat ratio, 520:440, and 7:6 tempo ratio, 84:72, resulting in virtually equal durations, 6:11 and 6:06. The second movement has a duration a little under four minutes, 3:52. In addition, the second and third movements have a 2:3 tempo ratio, 48:72. Four fewer measures for the first movement, 126, two more measures for the second movement, 64, and two fewer measures for the third movement, 108, result in a symmetrical 3:2 3 duration ratio, 6:00-4:00-6:00.
• Movements 1-3 —> 7:6 beat ratio, 7:6 tempo ratio, 1:1 duration ratio (7/6 ÷ 7/6 = 1/1)
• Movement 2 —> 64 measures (192 beats) of 3/2 at 48 bpm = 4:00 (192 ÷ 48 = 4)
• Movements 2-3 —> 2:3 tempo ratio, 48:72
