| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 292001 | Journal of Sound and Vibration | 2006 | 7 Pages |
Abstract
We explain using mathematics how harmonic musical drums were discovered by Indian artisans and musicians more than 2000 years ago. To this end, we introduce a harmonic error function which measures the quality of the harmonic relationship and degeneracy of the first modes of vibration of a centrally symmetric loaded membrane. We explain that although the tabla configuration found by the ancient Indians is the most natural one, other configurations exist and some are harmonically superior to the classical one.
Related Topics
Physical Sciences and Engineering
Engineering
Civil and Structural Engineering
Authors
Samuel Gaudet, Claude Gauthier, Sophie Léger,