syndie2

Second Syndie scale = fogliano1.scl

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	12
Period	1200.0 ¢
Just	5-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8329.html#8329
Thread	3 scales

Tone	Tone (¢)	Step	Step (¢)
25/24	71	25/24	71
10/9	182	16/15	112
6/5	316	27/25	133
5/4	386	25/24	71
4/3	498	16/15	112
25/18	569	25/24	71
3/2	702	27/25	133
25/16	773	25/24	71
5/3	884	16/15	112
16/9	996	16/15	112
15/8	1088	135/128	92
2	1200	16/15	112

Similar scales

File	Notes	Rotation	Max diff (¢)
parizek_7lqmtd2	12	10	7.7
chris_tuning_96501_96501	12	0	9.7
qmeb3	12	2	9.8
meanqratapprox	12	0	10.7
appalachian	12	0	10.8
xen18-schulter-didymic-1-4-12	12	0	10.8
meanquar	12	0	10.8
pure7-6mnt	12	0	11.3
syncmt3	12	0	11.3
mean441	12	10	11.4

Parent scales

File	Notes	Max diff (¢)
zarlin16	16	0.0
JoanAlbertBan18tone	18	0.0
fivecrys2	19	0.0
scj22_a	22	0.0
dwarf17marveq	17	4.3
dwarf25marv	25	3.9
meanquar_16	16	10.8
kleismic34trans	34	0.0
xen18-schulter-didymic-1-4-17	17	10.8
xen07-chalmers-rvf-2	19	9.7

Child scales

File	Notes	Max diff (¢)
Newton_ext_mixolydian	8	0.0
xen07-london-didymus	7	0.0
xen09-wilson-marwa-03-09	7	0.0
xen09-wilson-marwa-03-12	7	0.0
xen09-wilson-marwa-12-07	7	0.0
xen09-wilson-marwa-12-09	7	0.0
xen10-wilson-purvi-10b-01	7	0.0
xen10-wilson-purvi-10b-02	7	0.0
xen10-wilson-purvi-10b-03	7	0.0
xen10-wilson-purvi-10b-04	7	0.0

Mailing list post

From: Gene Ward Smith (2003-12-31)
Subject: The  Four Syndie Scales

The name this time comes from SYNtonic and DIEesis, or 81/80 and 
128/125. These, unsurprisingly, turn out to be already known; what is 
new is that there are only four of them. This time I did things 
systematically and made the meantone reduction run from -3 to 8. The 
first two are inversions of each other, and 3 and 4 are self-dual or 
inversionally similar.

! syndie1.scl
First Syndie scale ~ sauveur_ji.scl
12
!
135/128
9/8
6/5
5/4
27/20
45/32
3/2
25/16
27/16
9/5
15/8
2

! syndie2.scl
Second Syndie scale = fogliano1.scl
12
!
25/24
10/9
6/5
5/4
4/3
25/18
3/2
25/16
5/3
16/9
15/8
2

! syndie3.scl
Third Syndie scale ~ duodene.scl = efg33355.scl
12
!
25/24
10/9
32/27
5/4
4/3
25/18
40/27
25/16
5/3
16/9
50/27
2

! syndie.scl
Fourth Syndie scale = marpurg1.scl
12
!
25/24
9/8
6/5
5/4
4/3
45/32
3/2
25/16
5/3
9/5
15/8
2

Full thread (1 messages)

From: Gene Ward Smith (2003-12-31)
Subject: The  Four Syndie Scales

The name this time comes from SYNtonic and DIEesis, or 81/80 and 
128/125. These, unsurprisingly, turn out to be already known; what is 
new is that there are only four of them. This time I did things 
systematically and made the meantone reduction run from -3 to 8. The 
first two are inversions of each other, and 3 and 4 are self-dual or 
inversionally similar.

! syndie1.scl
First Syndie scale ~ sauveur_ji.scl
12
!
135/128
9/8
6/5
5/4
27/20
45/32
3/2
25/16
27/16
9/5
15/8
2

! syndie2.scl
Second Syndie scale = fogliano1.scl
12
!
25/24
10/9
6/5
5/4
4/3
25/18
3/2
25/16
5/3
16/9
15/8
2

! syndie3.scl
Third Syndie scale ~ duodene.scl = efg33355.scl
12
!
25/24
10/9
32/27
5/4
4/3
25/18
40/27
25/16
5/3
16/9
50/27
2

! syndie.scl
Fourth Syndie scale = marpurg1.scl
12
!
25/24
9/8
6/5
5/4
4/3
45/32
3/2
25/16
5/3
9/5
15/8
2

Raw file

! syndie2.scl
Second Syndie scale = fogliano1.scl
12
!
25/24
10/9
6/5
5/4
4/3
25/18
3/2
25/16
5/3
16/9
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8329.html#8329
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_7445-9944.json
! topic_id = 8329
! msg_id = 8329