3 ms·
HN discussion of "The Saddest Thing I know about the Integers" https://news.ycombinator.com/item?id=8682782 https://news.ycombinator.com/item?id=8682782 Origi
by mauvehaus 2y ago
HN discussion of "The Saddest Thing I know about the Integers"
https://news.ycombinator.com/item?id=8682782 https://news.ycombinator.com/item?id=8682782
Original article is offline, it seems :-(
EDIT: archive.org to the rescue!
https://web.archive.org/web/20240123154411/https://blogs.scientificamerican.com/roots-of-unity/the-saddest-thing-i-know-about-the-integers/ https://web.archive.org/web/20240123154411/https://blogs.sci...
- amelius 2y agoIs there a video that demonstrates the difference?
- npsimons 2y agoIt's not short, but I was introduced to the concept in a video series on FLOSS Linux audio tools: https://www.youtube.com/watch?v=hdPPPeq82hw&list=PLf_MTToSAxRITjUHgpIPUQTZdGvNQR-0p&index=1 https://www.youtube.com/watch?v=hdPPPeq82hw&list=PLf_MTToSAx... Specifically, you can play with it yourself with a tool like ZynAddSubFX's (https://zynaddsubfx.sourceforge.io/ https://zynaddsubfx.sourceforge.io/) virtual keyboard, where you can enable microtonal under scale settings and tweak to whatever tuning you want (see https://www.youtube.com/watch?v=hdPPPeq82hw&t=669s https://www.youtube.com/watch?v=hdPPPeq82hw&t=669s for where the video above starts showing this). A simpler and shorter video discussing the history of just intonation and equal temperament, with examples: https://www.youtube.com/watch?v=bCYcS57eCqs https://www.youtube.com/watch?v=bCYcS57eCqs