Inharmonicity as a function of harmonic number for a string of length L = 1 m and with a linear density μ = 180 g/m. Blue curve: string alone with B = 3.13 × 10⁻⁴. Red curve: string with sinusoidal density fluctuations such that and b = 7.5 cm (see Appendix). Yellow curve: string with a mass m = 3.5 g at a = 2.4 cm from the end. Purple curve: string with a mass (m = 3.5 g and a = 2.4 cm) and sinusoidal density fluctuations ( and b = 7.5 cm).