In this episode, we explore a brief history of regular temperament theory, and also talk about the basics of microtonal interval construction. Our Patreon bonus content for this episode features Paul and I going over audio examples of the Porcupine and Miracle examples in Paul's paper "A Middle Path," and getting more in-depth about the scales themselves and their different intonations. Music Intro: Decatonic Swing - Paul Erlich & Ari Sarkissian Blacklight - Joseph Pehrson (cellist: Dan Barrett) BlackandJill - Joseph Pehrson (udderbot: Jacob Barton) Outro: Herman Miller - Mizarian Porcupine Overture Socials/Projects:

Paul's Middle Path paper: https://sethares.engr.wisc.edu/paperspdf/Erlich-MiddlePath.pdf Joe Monzo's website (zoom in on projective tuning space): http://www.tonalsoft.com/enc/e/equal-temperament.aspx A document of historical interest: https://robertinventor.com/mills_txt/_3000_onwards/msg____3002.txt?fbclid=IwAR16KZCoHwRNIYGfP7M6RWImm8sSgcf6ak3EzCKAzhlF1hk2KKDZAWAfm3k Joseph Pehrson: https://www.soundclick.com/artist/default.cfm?bandID=104245&content=songs Herman Miller: https://soundcloud.com/morphosyntax-1 Support us on Patreon! https://www.patreon.com/nowandxen Follow http://nowandxen.libsyn.com https://twitter.com/now_xen https://www.facebook.com/nowxen/ Subscribe RSS: http://nowandxen.libsyn.com/rss iTunes: https://itunes.apple.com/us/podcast/n… Spotify: https://open.spotify.com/show/1mhnGsH… Stitcher: https://www.stitcher.com/podcast/nowxen Twitter: https://twitter.com/now_xen Facebook: https://www.facebook.com/nowxen/ YouTube: https://www.youtube.com/channel/UCnmYNMpemAIq8DnK5HJ9gsA