xen18-erlich-magic-16

3L 13s MOS for Magic, L=145.28, s=58.88

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	16
Period	1201.28 ¢
Just	No
Construction	`mos(Decimal('380.80'), Decimal('1201.28'), 16, rotation=8)`
Source	Xenharmonikon 18
Reference	Paul Erlich, A Middle Path Between Just Intonation and the Equal Temperaments Part 1, Xenharmonikon 18 (2006), p.190
Author	Paul Erlich
Read online	sethares.engr.wisc.edu
Article	428 scales

Tone (¢)	Step (¢)
59	59
118	59
263	145
322	59
381	59
440	59
499	59
557	59
703	145
762	59
820	59
879	59
938	59
1084	145
1142	59
1201	59

Similar scales

File	Notes	Rotation	Max diff (¢)
magic16terzbirat	16	15	1.6
magic16septimage	16	15	3.6

Parent scales

File	Notes	Max diff (¢)
xen18-erlich-magic-19	19	0.0
xen18-erlich-magic-22	22	0.0
xen07-chalmers-19-equal	19	11.0
edo-19	19	11.0
xen12-hanson-11-chain-19	19	11.0
sctemp19	19	11.2
chain_of_minor_thirds	19	11.3
rat-19et	19	11.3
rat19	19	11.3
xen18-erlich-magic-41	41	0.0

Child scales

File	Notes	Max diff (¢)
xen18-erlich-magic-13	13	0.0
xen18-erlich-magic-10	10	0.0
xen18-erlich-magic-07	7	0.0
magic10	10	1.3
magic7	7	1.3
xen15-gilson-aristoxenus-chromatic-malakon	7	1.7
xen15-chalmers-triadic-diamond-56-45	7	2.7
xen15-chalmers-triadic-reversed-diamond-56-45	7	3.0
qm2	7	3.8
xen18-schulter-harrison	5	4.1

Raw file

! xen18-erlich-magic-16.scl
!
3L 13s MOS for Magic, L=145.28, s=58.88
 16
!
 58.88   ! s
 117.76  ! s
 263.04  ! L
 321.92  ! s
 380.80  ! s
 439.68  ! s
 498.56  ! s
 557.44  ! s
 702.72  ! L
 761.60  ! s
 820.48  ! s
 879.36  ! s
 938.24  ! s
 1083.52 ! L
 1142.40 ! s
 1201.28 ! s
!
! Paul Erlich
! A Middle Path Between Just Intonation and the Equal Temperaments Part 1
! Xenharmonikon 18 (2006), p.190
!
! [info]
! source = Xenharmonikon
! whole_number = 18