Fast automatic inharmonicity estimation algorithm

Abstract

A new algorithm is presented for estimating the inharmonicity coefficient of slightly inharmonic stringed instrument sounds. In the proposed partial frequencies deviation method, the inharmonicity is estimated in an intuitive way by minimizing the deviation of the expected partial frequencies compared to the frequencies of the high amplitude peaks in the spectrum. This is done in an iterative process, where the algorithm converges towards the target estimation value. The algorithm is tested using both synthetic and recorded piano tones. The results show that the new algorithm produces accurate results with a small computation cost compared to other methods.

Estimation of harpsichord inharmonicity and temperament from musical recordings

“…Earis et al (2007) report similar results for measurements of inharmonicity constants, giving a slightly higher upper limit of 1.2 Â 10 À4 . Rauhala et al (2007) present an efficient iterative algorithm for estimating B given a recorded tone and its approximate fundamental frequency. Various studies have investigated the effects of inharmonicity on pitch perception.…”

Parametric Electric Guitar Synthesis

“…Inharmonicity coefficients of the strings (Fletcher, Donnell, and Stratton 1962) were estimated with an automatic estimation algorithm (Rauhala, Lehtonen, and Välimäki 2007) for each string and fret. The inharmonicity coefficient B can be calculated as…”

Analysis of Pitch Perception of Inharmonicity in Pipa Strings Using Response Surface Methodology

“…In order to extract the inharmonicity coefficient value, a semi-automated method that resembles the 'intuitive' approach described by Rauhala, Lehtonen, and Va¨lima¨ki (2007) was used. A peak-picking algorithm was applied to identify local maxima as candidate partials.…”