Law of Accelerating Returns


Notwithstanding this coming from the pen of Robert Harley, I think there's a good point being made here. There are many threads here dealing with the law of diminishing returns. However, I think the way Harley puts it is perhaps more applicable to our hobby - the smaller the differences, the more important they are to those who care about such things. Read it - it's only one page.
http://www.theabsolutesound.com/articles/from-the-editor-the-law-of-accelerating-returns/
chayro
I've always thought of this phenomenon in abstract terms as an example of Xeno's Dichotomy paradox. As one approaches the (unattainable) goal of the Absolute sound, progress is experienced not as the distance travelled from the point of origin, but rather as a closing of the gap that remains. If one's system is 90% of what it can be, then a 5% progress to 95% is perceived as a 50% improvement-- closing the remaining gap by half. At 95% of goal, progress to 96% of goal is perceived as a 20% improvement in performance. This is why relatively small incremental improvements can be meaningful.
"10-04-14: Dgarretson
I've always thought of this phenomenon in abstract terms as an example of Xeno's Dichotomy paradox. As one approaches the (unattainable) goal of the Absolute sound, progress is experienced not as the distance travelled from the point of origin, but rather as a closing of the gap that remains. If one's system is 90% of what it can be, then a 5% progress to 95% is perceived as a 50% improvement-- closing the remaining gap by half. At 95% of goal, progress to 96% of goal is perceived as a 20% improvement in performance. This is why relatively small incremental improvements can be meaningful."

The only way you can assign percentages as a representative of performance is if you know what the end result is, and that it can be attained. If you don't know what 100% is, then 50% and 20% (or whatever), is meaningless.
Zd542,
I think that in this context, using percentages to measure differences is meaningless. I think that that was is meaningful is that small perceived improvements do seem very significant to the listener.