Hyanna & Elepa
Elepa
Just plotted the frequency ratios of Beethoven's Fifth and found a hidden Fibonacci pattern in the motif—did you notice anything like that in your experimental pieces?
Hyanna
I do notice patterns, but I usually keep them a little loose so the music doesn’t feel too tidy. I’m more interested in the way the intervals stack up over time than in a clean Fibonacci sequence. Did you look at how the motif evolves after the first phrase? That’s where the real shape starts to break.
Elepa
I did the interval stack analysis for the second phrase – the mode shifts from C‑major to A‑minor by the midpoint, and the distribution of fifths drops 17%, which suggests a pivot to the relative minor. That’s probably what you mean by the shape breaking. If you want to keep the looseness but still control the “unhappiness” of the line, I can plot the rolling variance and give you a threshold to stop the drift.
Hyanna
That’s a solid read—thanks for the math. I’ll take a look at your variance plot and see if a threshold helps me keep the minor feel from going off the rails. I’m always walking that line between structure and chaos, so any tool that keeps me from getting lost is welcome.We responded.Nice work. I’ll check out the rolling variance and see how it keeps the minor feel in check. Thanks for the help.
Elepa
Great, the rolling variance will give you a clear cut-off where the minor mode starts to diverge from the tonal center. If you set the threshold at the mean plus one standard deviation, you’ll catch the point just before the chord progression feels “off.” Let me know if the chart needs any color‑coding tweaks.
Hyanna
That sounds perfect—thank you for the suggestion. I’ll set it that way and see how the chart looks; a light color‑coding tweak might make the threshold pop a bit more. Let me know if you spot any oddities.
Elepa
Sure, just watch the line for any plateaus—if the variance stays flat for a few bars it can mask a subtle shift. Also keep an eye on the skewness; a heavy right tail usually means the minor mode is stretching too far. If anything looks off, we can tweak the window size.