Youtor
Can Railsback curve also be applied on other than piano 【quotStretched Octavequot phenomenon】
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=SzyiL-uRCwY
・11° phase shift because perfect in tune phase may emphasize beats by stretched octave too much. • 26.918 and 54.620 Hz (25 cent wider than the actual octave, followed Railsback curve), sine wave, 11° phase shift 0:00 • 26.918 and 54.620 Hz, square wave, 11° phase shift 0:16 • 26.918 and 54.620 Hz, triangle wave, 11° phase shift 0:28 • 26.918 and 54.620 Hz, saw wave, 11° phase shift 0:39 • 27.5 and 55 Hz (pure octave), sine wave, 11° phase shift 1:08 • 27.5 and 55 Hz (pure octave), square wave, 11° phase shift 1:23 • 27.5 and 55 Hz (pure octave), triangle wave, 11° phase shift 1:35 • 27.5 and 55 Hz (pure octave), saw wave, 11° phase shift 1:49 • ・No phase shift • 26.918 and 54.620 Hz (25 cent wider than the actual octave, followed Railsback curve), sine wave, no phase shift 2:31 • 26.918 and 54.620 Hz, square wave, no phase shift 2:49 • 26.918 and 54.620 Hz, triangle wave, no phase shift 3:03 • 26.918 and 54.620 Hz, saw wave, no phase shift 3:16 • 27.5 and 55 Hz (pure octave), sine wave, no phase shift 3:37 • 27.5 and 55 Hz (pure octave), square wave, no phase shift 3:48 • 27.5 and 55 Hz (pure octave), triangle wave, no phase shift 3:57 • 27.5 and 55 Hz (pure octave), saw wave, no phase shift 4:10 • Railsback curve shows how acoustic Piano tuning tends to be modified from logical equal temperament. • According to Railsback curve, octaves tend to be widely tuned, especially on bass and treble, and some people interpret that this is because of the inharmonicity of the piano strings. • Some people, however, found this stretched octave phenomenon also on some orchestral instruments(reference 1), and I also found that I feel 2~3 cent wider octave of sine wave purer than the actual octave • (See video • Octave Enlargement (or Octave Stretch) 生理的オクターブのストレッチ現象 • • Octave Enlargement (or Octave Stretch... ). • Various hypothesis including Physiological approach was discussed (reference 2). • • In this video, I pick up one of the typical stretched octaves (25 cent wider) on Railsback curve, and played on sine, triangle, square, and saw wave. I feel on 11° phase shift, I may prefer stretched octave depending on musical context, whereas with no phase shift, the stretch is too much. Also I found that the overtone can affect the phenomenon. I hope you will find out how the overtone of each instrument or the phase can affect this stretched octave phenomenon. • Video List： • Music Experiment 音楽実験 • • Music Experiment 音楽実験 • reference • １．Jaatinen, Jussi; Pätynen, Jukka; Alho, Kimmo (2019) Octave stretching phenomenon with complex tones of orchestral instruments • https://acris.aalto.fi/ws/portalfiles... • 2. Alain de Cheveigné (2023) Why is the perceptual octave stretched? An account based on mismatched time constants within the auditory brainstem • https://pubs.aip.org/asa/jasa/article... • (This is updated video of the old one (add phase shift and fix some problem of noise).) • #experiment
#############################
