Scordatura by the golden ratio and composition of string quartet
Masao YOKOYAMA
Meisei University
1.
12 20

3 3 3 ( 2) 3. . . 12 3 ( 1.61803) ( 2.71828) P i (i = 0, 1, 2, 3. . . ) cm P0
Pi+1 = Pi ∗ c(ifPi+1 > 2P0 then Pi+1 = Pi+1/m)
(1)
P0 2 m m (1) P0 = 261.6 (frequency of C4, Hz) c m 5 1 1
3 (i = 8, 11, 14, . . . 35) 500Hz ( )20 P0 2 4 ()
– 24–
1: Sequence of Pi, c = Goldenratio,m = 5
( 2017; ?) m 3 ()
3.
1 (a) 1 P 21/21/4 ( 1(b)) 1st 2nd I EF 705.5HzD# 615.7Hz I II A 441.9Hz 4 A
– 25–
1: Pitch selection for String Quartet
2
(Bagatelle) 5 2020 1 TAMA Music Festival 2020( ) Green room players( https://youtu.be/QNYzj3vihkk) 1
2
3
5 () 6 4
5

4.
– 26–
2: Open strings and natural harmonics for string quartet
5.
(2015) 2015-MUS- 107(14), 1–6.
6.
Masao Yokoyama (2016) Nocturne for Big City (Prepared Guitar and Tape) https://youtu. be/22Vf2y5KCH8
7.
- - 4.0
– 27–
Vol.12 No.2 pp.24–30
3: 1st movement of “5 Bagatelle for String Quartet by Golden Ratio Harmony”
http:// creativecommons.org/licenses/by-nc-nd/4.0/ Creative Commons, PO Box 1866, Mountain View, CA 94042, USA
– 28–
4: 2nd movement
– 29–
7: 4th movement
8: 5th movement