IF2 Chord Progression with Melody 2.0
This is an experiment, using the same basic material as 1.0; however, this time, instead of moving around the ‘circle of fifths’ (derived from within the overtone series of R20), the progression goes around the opposite direction (i.e. the ‘circle of fourths).
Since the circle of fifths is derived from within the overtone series, instead of by the Pythagorean method, the tunings between the key centers are not all perfectly in a 1:3 ratio. ( More on this later, in the article Integrated Frequency 2.)
This is an illustration of how the cycle is perfectly tuned by the 1:3 keys, while the version 1.0 is not derived in a 1:3 ‘perfect’ ratio between the keys as they modulate.
As in all of these experiments, the tempo, tuning and key are congruent in frequency.