Click on the link to listen to three versions of the same performance of Beethoven's Moonlight Sonata on piano, tuned three different ways. https://soundcloud.com/user-443359703/sets/beethoven-moonlight-sonata?utm_source=clipboard&utm_medium=text&utm_campaign=social_sharing There's nothing like a side by side comparison of the way we're told music should be tuned, versus the way that harmonics propagate naturally, and based on the frequencies I've discovered … Continue reading Equal Temperament vs Just vs Earth Tuning
Category: harmonic propagation
Music based on the 3 and 5
The "cycle of fifths" is actually a spiral, because when you start with a frequency and go to its third-harmonic, and its third harmonic, in-turn until you go around in third-harmonic leaps covering all 12 notes of the western scale, when you return to the note you started with, it turns out there's a gap … Continue reading Music based on the 3 and 5
Mandelbrot Music
Stop the presses. A while ago, I figured it would make an amazing fractal if we could feed the equation for harmonic propagation into a fractal programme - because as we know, when harmonics propagate, the gap between your starting frequency and your ending frequency is always a harmonic of your starting frequency. Well, I … Continue reading Mandelbrot Music