Marc Sabat - Chords, Melodies: a Look at Harmony by Numbers; Part I (lecture)

*Marc Sabat - Chords, Melodies: A Look at Harmony by Numbers, Part I | 2023 Enharmonic Interfaces and Controllers Symposium* *Lecture by Marc Sabat on Harmony by Numbers* Presented at the Enharmonic Interfaces and Controllers for Keyboard Instruments Symposium (2023) at the University of Music and Performing Arts Graz, Austria. In this insightful lecture, Marc Sabat introduces the concept of *harmonic radius*, a novel method for comparing the relative harmonicities of pitch collections tuned in rational intonation. This lecture provides an innovative way for musicians to explore microtonal just intonation (JI) through the lens of psychoacoustics and harmony. **For the Audiovisual Piece Presented After This Lecture**: [Watch here](   • SEE HEAR  ) **Abstract of the Lecture**: Marc Sabat's harmonic radius metric allows musicians to calculate and compare intervals, chords, and melodies by evaluating harmonic partials in real-time. The radius provides a tool for optimizing harmonicity and exploring advanced microtonal structures, offering new possibilities for modulation and harmonic relationships. It builds on the work of James Tenney's harmonic space and Benedetti’s distance metrics to present a new method of exploring pitch collections using a more detailed approach to intonation. **Symposium Overview**: This 2-day symposium brought together lectures, concerts, and workshops on enharmonic and microtonal keyboard instruments, presenting cutting-edge research and compositions in these innovative fields. **Support Organon - Shop Merchandise**: [Buy merch here](https://zeitschleife-verlag.com/Verla...) **Symposium Organizers & Partners**: Organon: [Visit Organon website](https://institut1.kug.ac.at/projekte/...) Zeitschleife: [Explore Zeitschleife](http://www.zeitschleife-verlag.com) **Learn More About Marc Sabat**: [Marc Sabat's Biography](https://www.marsbat.space/MSbio.html) [Marc Sabat at UdK Berlin](https://www.udk-berlin.de/person/marc...) **This symposium was generously supported by**: Zeitschleife Verein, KUG, Land Steiermark, SKE, ÖH KUG, BMKOES. --- **Hashtags**: #MarcSabat #MicrotonalMusic #HarmonyByNumbers #HarmonicRadius #MicrotonalIntonation #EnharmonicInterfaces #Symposium2023 #KeyboardInstruments #RationalIntonation #JamesTenney #Psychoacoustics #MusicLecture #Zeitschleife #Organon #EnharmonicMusic #MusicTheory