The stretching of the frequencies of the partials can be calculated as:
where =inharmonicity factor,
E=Young modulus of elasticity, d=diameter.
Physical constants of a Dominant violin string, from Pickering
String | E (N/m) | d(m) | l (m) | T | B |
E | 15.7 | 0.000307 | 0.565 | 72.56 | 5.1627e-15 |
A | 7.470 | 0.000676 | 0.59 | 56.25 | 6.5418e-14 |
D | 6.4 | 0.000795 | 0.567 | 43.72 | 1.5707e-12 |
G | 6.035 | 0.000803 | 0.567 | 44.57 | 1.4963e-12 |
Physical constants of a gut violin string,
from Schelleng.
String | B | |||
E | 1.5598e-05 | |||
A | 4.8527e-05 | |||
D | 2.4841e-04 | |||
G | 1.3e-3 |