tertiadie4

Fourth Tertiadie 262144/253125 128/125 scale

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_8338.html#8338
Thread	4 scales

Tone	Tone (¢)	Step	Step (¢)
2048/1875	153	2048/1875	153
32768/28125	265	16/15	112
6/5	316	16875/16384	51
32/25	427	16/15	112
512/375	539	16/15	112
8192/5625	651	16/15	112
3/2	702	16875/16384	51
8/5	814	16/15	112
128/75	925	16/15	112
2048/1125	1037	16/15	112
15/8	1088	16875/16384	51
2	1200	16/15	112

Parent scales

File	Notes	Max diff (¢)
xen18-erlich-orwell-22	22	7.0
top-orwell-22	22	7.0
xen18-erlich-orson-22	22	7.1
zeus22	22	7.6
cpak22	22	7.7
xen12-wilson-07-eikosany	20	9.9
xen17-erlich-unequal-22	22	8.9
xen18-erlich-hedgehog-22	22	9.5
xen18-erlich-porcupine-22	22	9.5
xen12-wilson-07-eikosany-extended	22	9.9

Child scales

File	Notes	Max diff (¢)
or9	9	6.7
xen18-erlich-orwell-05	5	7.0
xen18-erlich-orson-05	5	7.1
keen5	5	10.2
Ethiopia_Mus_05_Bati_Zafan	5	12.3
Ethiopia_Bati	5	12.9
met24-oceania_C	5	16.0
CD11_18_Iraq	6	16.7
xen18-erlich-mavila-05	5	17.6
Ethiopia_Mus_03_Yammatbal	5	18.1

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

! 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
!
! 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