User:TromboneBoi9/sandbox

Twenty four equal divisions of the octave approximates the 11th and 13th harmonics decently well. An otonal/utonal example, a 4:5:6:7:9:11:13 chord:

\absolute{
<c' e' g' btqf' d'' fqs'' aqf''>1^"Otonal"
<eqf' gqf' bf' dqs'' f'' af'' c'''>^"Utonal"
}
Prime harmonics
2 3 5 7 11 13 17 19
Error (¢) ±0.0 -2.0 -13.7 +18.8 +1.3 -9.5 -5.0 -2.5
Degrees (\24) 24 38 56 67 83 89 98 102
Notation from C1 C2 G2 E3 Bthree quarter flat3 Fhalf sharp4 Ahalf flat4 C5 E5