Abstract Fibonacci Series and Music are related in many ways. Even though Indian Classical Music (ICM) is known to be based on Just Intonation rather than equal tempered, not much attention has been given to inflections on the notes, which are integral part of the notes themself. In this work an interesting relation between Fibonacci series and Just Intonation in ICM has been found. Further, discrete version of pitch contours based on a table derived using Fibonacci series is introduced for ICM. These pitch contours can effectively represent the melody and can be a tool for music information retrieval. A pitch distribution based on Fibonacci series is also introduced. Raga recognition is performed using this distribution and a recognition rate of 95.3 percent is obtained for the typical 17 ragas considered for this experiment. The recognition rate is higher compared to reported work in raga recognition.

中文翻译：

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在印度古典音乐中使用基于斐波那契数列的音高分布的拉格识别

摘要 斐波那契数列和音乐在很多方面都有关联。尽管众所周知，印度古典音乐 (ICM) 是基于纯音调而不是平均调律的，但对音符的变化并没有给予太多关注，这些变化是音符本身不可或缺的一部分。在这项工作中，发现了斐波那契数列和 ICM 中的 Just Intonation 之间的有趣关系。此外，为 ICM 引入了基于使用斐波那契级数导出的表格的离散版本的音高轮廓。这些音高轮廓可以有效地表示旋律，可以作为音乐信息检索的工具。还介绍了基于斐波那契数列的音高分布。使用该分布执行拉格识别，对于本实验考虑的典型 17 拉格获得 95.3% 的识别率。