• 沒有找到結果。

探討黃金比例在小提琴設計和樂曲結構之應用

N/A
N/A
Protected

Academic year: 2021

Share "探討黃金比例在小提琴設計和樂曲結構之應用"

Copied!
24
0
0

加載中.... (立即查看全文)

全文

(1)
(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
(15)
(16)
(17)
(18)
(19)
(20)
(21)
(22)
(23)
(24)

Joumal of Taiwan Normal University Humanities & Social Scìences 2005,50(2),23-46

Application of the Golden Ratio to a Violin' s

Musical Structure and Design

Jui-Lin Ong

Department of Applied Chemistry, Fooyin University

Abstract

The cosmos itself, with its moving stars and planets, was considered to be a silent form ofmusic:

the music of 由espheres." Indeed, musica1 amplitude, frequency, qua1ity, rhythm, melody, form and style can all be described in mathematical terms_ Here we discuss, in mathematical terms, the application of the “golden ratio" to the abstract musical structure and concrete physica1 design of the violin. Our findings suggest the strong correlation between mathematics and music. We also suggest the need for a general interdisciplinary course on the close inter-relationship between music and mathematics.

參考文獻

相關文件

• One technique for determining empirical formulas in the laboratory is combustion analysis, commonly used for compounds containing principally carbon and

• Content demands – Awareness that in different countries the weather is different and we need to wear different clothes / also culture. impacts on the clothing

Science education provides learning experiences for students to develop scientific literacy with a firm foundation on science, realise the relationship between science, technology,

Monopolies in synchronous distributed systems (Peleg 1998; Peleg

Corollary 13.3. For, if C is simple and lies in D, the function f is analytic at each point interior to and on C; so we apply the Cauchy-Goursat theorem directly. On the other hand,

We have also discussed the quadratic Jacobi–Davidson method combined with a nonequivalence deflation technique for slightly damped gyroscopic systems based on a computation of

Finally, adding the discussion of cultural causes and the rise of Rome typeface, the relationship between the gothic script and the renaissance typeface design for the future study

(Keywords: general education, learning passport, cultivation in humanity, activities of music and arts, democracy and constitutionalism, the silky way over the sea).. The