xen13-mclaren-recurrence-1

Fibonacci scale (recurrence scale #1)

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	8
Period	1200.0 ¢
Just	89-limit
Construction	`recurrent_sequence_scale((1, 1), (1, 1), 0, 10)`
Source	Xenharmonikon 13
Reference	B. McLaren, General Methods for Generating Musical Scales, Xenharmonikon 13 (1991), p.30
Author	B. McLaren
Article	12 scales

Tone	Tone (¢)	Step	Step (¢)
17/16	105	17/16	105
5/4	386	20/17	281
21/16	471	21/20	84
89/64	571	89/84	100
3/2	702	96/89	131
13/8	841	13/12	139
55/32	938	55/52	97
2/1	1200	64/55	262

Parent scales

File	Notes	Max diff (¢)
fib10	10	0.0
blackjb	21	12.4
blackjack_tuning_30510_30510	21	12.5
blackjack	21	12.5
xen18-erlich-miracle-21	21	12.7
stellar	20	13.6
blaj	21	13.6
53out_of256ADO	53	0.0
miracle24_tuning_66493_66493	24	12.4
miracle24	24	12.5

Child scales

File	Notes	Max diff (¢)
Ethiopia_Ambasel	5	15.0
keen1	5	21.6

Raw file

! xen13-mclaren-recurrence-1.scl
!
Fibonacci scale (recurrence scale #1)
 8
!
 17/16
 5/4
 21/16
 89/64
 3/2
 13/8
 55/32
 2/1
!
! B. McLaren
! General Methods for Generating Musical Scales
! Xenharmonikon 13 (1991), p.30
!
! [info]
! source = Xenharmonikon
! whole_number = 13