syndia1

First 81/80 2048/2025 Fokker block = ramis.scl

Open in Scale Workshop Scala analysis Download scl

Properties

Notes12
Period1200.0 ¢
Just5-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8328.html#8328
Thread5 scales
Tone Tone (¢) Step Step (¢)
135/128 92 135/128 92
10/9 182 256/243 90
32/27 294 16/15 112
5/4 386 135/128 92
4/3 498 16/15 112
45/32 590 135/128 92
3/2 702 16/15 112
128/81 792 256/243 90
5/3 884 135/128 92
16/9 996 16/15 112
15/8 1088 135/128 92
2 1200 16/15 112

Similar scales

FileNotesRotationMax diff (¢)
schisdia6 12 3 0.0
tamil_vi 12 5 0.0
SpBruckner 12 7 0.6
xen18-erlich-helmholtz-12 12 4 0.9
schismatic12 12 7 1.0
schisdia2 12 0 2.0
schisdia1 12 8 2.0
schisdia3 12 2 2.0
mistyschism2 12 11 2.0
raintree 12 11 2.0

Parent scales

FileNotesMax diff (¢)
dwarf17_5 17 0.0
xen02-wilson-arabic 17 0.0
schisynch17 17 0.9
xen03-wilson-positive-17 17 2.0
xen18-darreg-djami-17 17 2.4
indianred 22 0.0
indpar 22 0.0
indians 22 0.9
indiansouth 22 2.0
xen02-wilson-indic 22 2.0

Child scales

FileNotesMax diff (¢)
Newton_ext_mixolydian 8 0.0
xen09-wilson-marwa-03-05 7 0.0
xen09-wilson-marwa-03-09 7 0.0
xen09-wilson-marwa-03-12 7 0.0
xen09-wilson-marwa-03-14 7 0.0
xen09-wilson-marwa-03-15 7 0.0
xen09-wilson-marwa-09-10 7 0.0
xen09-wilson-marwa-09-16 7 0.0
xen09-wilson-marwa-09-19 7 0.0
xen09-wilson-marwa-09-20 7 0.0
Mailing list post 
From: Gene Ward Smith (2003-12-30)
Subject: The Six Syndia Scales

These are the six possible Fokker blocks, up to transpositional 
equivalence, which can be obtained from the 81/80 (SYNtonic)
and 2048/2045 (DIAschismic) commas. Since midpoints between numbers 
of the form i/12 are numbers of the form n/24, I took all offsets
n/24 for n ranging from -12 to 12 to obtain these, though in fact 
taking only odd n should suffice. The first two are self-dual, or 
whatever the word is (and if there isn't one, there should be) for a 
scale transpositionally equivalent to its inverse. Then 3 and 4, 5 
and 6 are inversionally related pairs. When a name already existed in 
the Scala archives, I used that form of the scale, otherwise I just 
picked one of the 12 which looked nice. All of these on reduction by 
meantone lead to Meantone[12].

! syndia1.scl
First 81/80 2048/2025 Fokker block = ramis.scl
12
!
135/128
10/9
32/27
5/4
4/3
45/32
3/2
128/81
5/3
16/9
15/8
2

! syndia2.scl
Second 81/80 2048/2025 Fokker block
12
!
16/15
256/225
6/5
32/25
4/3
64/45
3/2
8/5
128/75
9/5
256/135
2

! syndia3.scl
Third 81/80 2048/2025 Fokker block
12
!
135/128
9/8
1215/1024
5/4
675/512
45/32
3/2
405/256
27/16
225/128
15/8
2

! syndia4.scl
Fourth 81/80 2048/2025 Fokker block
12
!
135/128
9/8
6/5
5/4
4/3
45/32
3/2
8/5
27/16
16/9
15/8
2

! syndia5.scl
Fifth 81/80 2048/2025 Fokker block = pipedum_12.scl
12
!
135/128
9/8
75/64
5/4
4/3
45/32
3/2
405/256
5/3
16/9
15/8
2

! syndia6.scl
Sixth 81/80 2048/2025 Fokker block
12
!
135/128
9/8
6/5
5/4
4/3
45/32
3/2
405/256
27/16
16/9
15/8
2
Full thread (1 messages) 
From: Gene Ward Smith (2003-12-30)
Subject: The Six Syndia Scales

These are the six possible Fokker blocks, up to transpositional 
equivalence, which can be obtained from the 81/80 (SYNtonic)
and 2048/2045 (DIAschismic) commas. Since midpoints between numbers 
of the form i/12 are numbers of the form n/24, I took all offsets
n/24 for n ranging from -12 to 12 to obtain these, though in fact 
taking only odd n should suffice. The first two are self-dual, or 
whatever the word is (and if there isn't one, there should be) for a 
scale transpositionally equivalent to its inverse. Then 3 and 4, 5 
and 6 are inversionally related pairs. When a name already existed in 
the Scala archives, I used that form of the scale, otherwise I just 
picked one of the 12 which looked nice. All of these on reduction by 
meantone lead to Meantone[12].

! syndia1.scl
First 81/80 2048/2025 Fokker block = ramis.scl
12
!
135/128
10/9
32/27
5/4
4/3
45/32
3/2
128/81
5/3
16/9
15/8
2

! syndia2.scl
Second 81/80 2048/2025 Fokker block
12
!
16/15
256/225
6/5
32/25
4/3
64/45
3/2
8/5
128/75
9/5
256/135
2

! syndia3.scl
Third 81/80 2048/2025 Fokker block
12
!
135/128
9/8
1215/1024
5/4
675/512
45/32
3/2
405/256
27/16
225/128
15/8
2

! syndia4.scl
Fourth 81/80 2048/2025 Fokker block
12
!
135/128
9/8
6/5
5/4
4/3
45/32
3/2
8/5
27/16
16/9
15/8
2

! syndia5.scl
Fifth 81/80 2048/2025 Fokker block = pipedum_12.scl
12
!
135/128
9/8
75/64
5/4
4/3
45/32
3/2
405/256
5/3
16/9
15/8
2

! syndia6.scl
Sixth 81/80 2048/2025 Fokker block
12
!
135/128
9/8
6/5
5/4
4/3
45/32
3/2
405/256
27/16
16/9
15/8
2

Raw file

! syndia1.scl
First 81/80 2048/2025 Fokker block = ramis.scl
12
!
135/128
10/9
32/27
5/4
4/3
45/32
3/2
128/81
5/3
16/9
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8328.html#8328
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_7445-9944.json
! topic_id = 8328
! msg_id = 8328