https://teddyrookbook.com/music/continued-fraction-suite/Recent content in The Continued-Fraction Suite on Teddy Rook Bookhttps://teddyrookbook.com/img/share.jpghttps://teddyrookbook.com/img/share.jpgHugoenhttps://teddyrookbook.com/music/continued-fraction-suite/golden/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/music/continued-fraction-suite/golden/A gentle, singing piece in 3/4 and G major built on the golden ratio: 89 bars of 8-bar and 5-bar sections in Fibonacci order.https://teddyrookbook.com/music/continued-fraction-suite/silver/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/music/continued-fraction-suite/silver/A slow, singing Adagio in D major built on √2 − 1, whose continued fraction is all 2s: 12-bar sections with a 5-bar B section after every second one.https://teddyrookbook.com/music/continued-fraction-suite/the-fifth/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/music/continued-fraction-suite/the-fifth/A lively Allegretto in F major built on the musical fifth, log₂(3/2): 53 bars, because 53 is the next stop after 12 on the ladder of fifths.https://teddyrookbook.com/music/continued-fraction-suite/euler/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/music/continued-fraction-suite/euler/A waltz in A minor built on e − 2, whose continued fraction grows 2, 4, 6, 8: 7-bar sections, a short 4-bar B, and a form that keeps stretching.https://teddyrookbook.com/music/continued-fraction-suite/pi/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/music/continued-fraction-suite/pi/A Moderato in C major built on π − 3: fifteen 7-bar phrases, one held bar and one more phrase, 113 bars in all, the 113 of the famous fraction 355/113.https://teddyrookbook.com/music/continued-fraction-suite/pi-bar-32996/Mon, 01 Jan 0001 00:00:00 +0000https://teddyrookbook.com/music/continued-fraction-suite/pi-bar-32996/Fifty bars from deep inside pi’s full form: the end of the 292nd 113-bar cycle and the start of the first short cycle, the rare block that comes about 23 hours in.