User talk:Sevish/Quasi-periodic golden ratio based scales

Nice approach!

These scales look like a great family of examples of a bit more general “infinite MOS scale” idea I came up with, some time ago. (And I should probably edit the page someday... Not the best writing, probably more examples would be better, but at least the sole example I used is the same golden pattern your scales have when delimited enough times, as you wrote.)

In that general setting, there’s a lot of freedom (sizes of both steps and then the overall limiting density of the L steps compared to s steps), so pointing out reasonable options can be hard, and your scale family is a neat point of interest to use and look around, and with a good reminder that one can tune to specific intervals larger than a scale step easily enough. I also haven’t considered building a scale top to bottom, for some reason, despite it’s indeed easy because we’re always concerned with a finite fragment.

About corrections: it seems the generation algorithm is solid, to me, in regard to the claims. --Arseniiv (talk) 13:58, 4 February 2025 (UTC)