syndie3

Third Syndie scale ~ duodene.scl = efg33355.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
32/27	294	16/15	112
5/4	386	135/128	92
4/3	498	16/15	112
25/18	569	25/24	71
40/27	680	16/15	112
25/16	773	135/128	92
5/3	884	16/15	112
16/9	996	16/15	112
50/27	1067	25/24	71
2	1200	27/25	133

Similar scales

File	Notes	Rotation	Max diff (¢)
xen15-gilson-just-chromatic	12	2	0.0
duodene	12	10	0.0
blueji-cataclysmic	12	10	3.1
marveldene	12	10	5.1
dwarf12marv	12	1	5.8
nptmarv	12	10	5.9
phillips_tuning_39746_39990	12	9	5.9
duo	12	10	6.0
ji_12	12	10	7.7
raven_tuning_104807_104811	12	10	7.7

Parent scales

File	Notes	Max diff (¢)
indpar	22	0.0
dwarf25marv	25	5.8
xen18-erlich-helmholtz-41	41	0.6
tenn41c	41	2.0
meanquar_16	16	16.1
xen18-schulter-didymic-1-4-17	17	16.1
48temp	48	0.7
xen12-hanson-06-53-just	53	0.0
xen07-chalmers-rvf-2	19	15.8
xen07-chalmers-rvf-3	19	15.9

Child scales

File	Notes	Max diff (¢)
xen09-wilson-marwa-12-09	7	0.0
xen09-wilson-marwa-12-10	7	0.0
xen18-darreg-djami-hidjaz	7	2.4
xen18-darreg-djami-iraq-1	7	2.4
xen09-wilson-marwa-08-04	7	7.7
xen10-wilson-purvi-04-07	7	7.7
Cambodia_Pentatonic_01	5	9.4
Indonesia_Slendro_Saih_Gender_Wayang	5	10.6
CD16_08_Morocco	6	11.5
CD12_11_Iraq	6	12.5

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

! 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
!
! 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