Abstract

This paper presents the succession of the digital roots of the numbers 1 to 144 ^[1] and reveals numerical patterns that match the Hertz frequencies of musical notes in Solfeggio scales. This result, which connects apparently different subjects such as mathematics and music, has potential implications for science and technology.

In this work the digital roots of the numbers from 1 to 144 are calculated. The sequences of the digital roots are analysed to identify repeating patterns. After that, the Hertzian frequencies of the musical notes in the Solfeggio scales are related. Finally, repetitive numerical patterns were found in the succession of the digital roots that matched the Hertzian frequencies of the musical notes in the Solfeggio scales.

This result suggests a deep connection between mathematics and music. Mathematics, in its apparent abstraction, manifests itself in the harmony of sound. This connection could have implications for the understanding of the universe and human perception.

In addition, it may have applications in technology: The numerical patterns of the digital roots could be used to develop new, more efficient and secure communication technologies; as well as to generate energy, so that the Solfeggio frequencies could be used to resonate with the natural frequencies of the Earth's ionospheric layer, amplifying the energy available for electricity production.

This line of study opens a new chapter in the history of science and technology. Human inventiveness and creativity, inspired by the beauty of mathematics and music, can lead to unimaginable breakthroughs.