Thirteenth Harmonic
13:8 (840.53 cents), the ratio of the thirteenth harmonic is notated in Ben Johnston's system as A13♭.
This note is often corrected to a just or pythagorean ratio on the natural horn, but the pure thirteenth harmonic was used in pieces including Britten's Serenade for tenor, horn and strings.
Read more about this topic: Neutral Sixth
Famous quotes containing the words thirteenth and/or harmonic:
“Just as the French of the nineteenth century invested their surplus capital in a railway-system in the belief that they would make money by it in this life, in the thirteenth they trusted their money to the Queen of Heaven because of their belief in her power to repay it with interest in the life to come.”
—Henry Brooks Adams (1838–1918)
“For decades child development experts have erroneously directed parents to sing with one voice, a unison chorus of values, politics, disciplinary and loving styles. But duets have greater harmonic possibilities and are more interesting to listen to, so long as cacophony or dissonance remains at acceptable levels.”
—Kyle D. Pruett (20th century)