Work

A property of irrational numbers and its application in music

Year: 2025

Type: conference-paper

Abstract: The concept of irrational envelope numbers and some properties of their polynomial range were introduced in this paper. The paper proves the number of two intervals forming a unit circle of Circumference 1, proposes a method of rolling subtraction to find the number of musical tones needed for any small comma in music, and finally gives the cent value of the interval corresponding to some envelope numbers.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/2964/1/012050

Author: Genfang Chen

Institution: Zhejiang Conservatory of Music

Language: English

Topic: Musicology and Musical Analysis

Subfield: Music

Field: Arts and Humanities

Domain: Social Sciences

Open Access status: diamond

OpenAlex ID: W4408039848

FWCI:

Cites: 1

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Related to: 10