tertiadie3

Third Tertiadie 262144/253125 128/125 scale

Properties

Notes12
Period1200.0 ¢
Just5-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8338.html#8338
Thread4 scales
Tone Tone (¢) Step Step (¢)
16/15 112 16/15 112
1125/1024 163 16875/16384 51
75/64 275 16/15 112
5/4 386 16/15 112
4/3 498 16/15 112
45/32 590 135/128 92
3/2 702 16/15 112
8/5 814 16/15 112
128/75 925 16/15 112
225/128 977 16875/16384 51
15/8 1088 16/15 112
2 1200 16/15 112

Similar scales

FileNotesRotationMax diff (¢)
piaji-helmholtz 12 9 21.2
diadiaschis1 12 7 21.5
syndia5 12 1 21.5
syndia3 12 3 21.5
xen03-wilson-negative-12 12 9 21.5
xen18-erlich-august-12 12 0 22.5
coherent_shrutis-schismaticTranp 12 10 22.9

Parent scales

FileNotesMax diff (¢)
stellar5 20 0.0
fokjack1 21 0.0
zeus22 22 7.6
xen17-erlich-unequal-22 22 8.2
stellar 20 9.6
xen18-erlich-superpyth-22 22 8.6
blaj 21 9.6
xen18-erlich-doublewide-22 22 9.1
xen18-erlich-pajara-22 22 9.3
22 22 9.8

Child scales

FileNotesMax diff (¢)
mavchrome1 7 0.0
xen10-wilson-purvi-02b-04 7 0.0
xen15-chalmers-triadic-reversed-diamond-5-4 7 0.0
xen15-chalmers-triadic-reversed-diamond-8192-6561 7 2.0
qm2 7 4.9
xen15-chalmers-triadic-reversed-diamond-64-51 7 6.8
al-farabi_chrom2 7 7.7
xen15-chalmers-triadic-reversed-diamond-56-45 7 7.7
xen12-wilson-09-4C2-hexany-02 6 7.7
xen03-wilson-acute-05 5 7.7
Mailing list post
From: Gene Ward Smith (2004-01-01)
Subject: The Four Tertiadie Scales

If we consider 262144/253125 to be a third of a tone or a tertiatone, 
these may be named TERTIAtone DIEesis scales.


! tertiadie1.scl
First Tertiadie 262144/253125 128/125 scale
12
!
16/15
256/225
75/64
5/4
4/3
64/45
375/256
25/16
5/3
2048/1125
15/8
2

! tertiadie2.scl
Second Tertiadie 262144/253125 128/125 scale
12
!
16/15
1125/1024
75/64
5/4
4/3
5625/4096
3/2
8/5
128/75
225/128
15/8
2

! tertiadie3.scl
Third Tertiadie 262144/253125 128/125 scale
12
!
16/15
1125/1024
75/64
5/4
4/3
45/32
3/2
8/5
128/75
225/128
15/8
2

! tertiadie4.scl
Fourth Tertiadie 262144/253125 128/125 scale
12
!
2048/1875
32768/28125
6/5
32/25
512/375
8192/5625
3/2
8/5
128/75
2048/1125
15/8
2
Full thread (1 messages)
From: Gene Ward Smith (2004-01-01)
Subject: The Four Tertiadie Scales

If we consider 262144/253125 to be a third of a tone or a tertiatone, 
these may be named TERTIAtone DIEesis scales.


! tertiadie1.scl
First Tertiadie 262144/253125 128/125 scale
12
!
16/15
256/225
75/64
5/4
4/3
64/45
375/256
25/16
5/3
2048/1125
15/8
2

! tertiadie2.scl
Second Tertiadie 262144/253125 128/125 scale
12
!
16/15
1125/1024
75/64
5/4
4/3
5625/4096
3/2
8/5
128/75
225/128
15/8
2

! tertiadie3.scl
Third Tertiadie 262144/253125 128/125 scale
12
!
16/15
1125/1024
75/64
5/4
4/3
45/32
3/2
8/5
128/75
225/128
15/8
2

! tertiadie4.scl
Fourth Tertiadie 262144/253125 128/125 scale
12
!
2048/1875
32768/28125
6/5
32/25
512/375
8192/5625
3/2
8/5
128/75
2048/1125
15/8
2

Raw file

! tertiadie3.scl
Third Tertiadie 262144/253125 128/125 scale
12
!
16/15
1125/1024
75/64
5/4
4/3
45/32
3/2
8/5
128/75
225/128
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8338.html#8338
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_7445-9944.json
! topic_id = 8338
! msg_id = 8338