2 papers
math.HO2025
Musical Chords by the Numbers
Matthias Beck, Emily Clader
The mathematics of musical intervals and scales has been extensively studied. Vastly simplified, our ears seem to prefer intervals whose frequency ratios have small numerator and d…
math.CO2025
MacMahon's Double Vision: Partition Diamonds Revisited
Matthias Beck, Kobe Wijesekera
Plane partition diamonds were introduced by Andrews, Paule, and Riese (2001) as part of their study of MacMahon's -operator in search for integer partition identities. More rec…