tertiadia6

Tertiadia 2048/2025 262144/253125 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_8422.html#8422
Thread	6 scales

Tone	Tone (¢)	Step	Step (¢)
16/15	112	16/15	112
256/225	223	16/15	112
75/64	275	16875/16384	51
5/4	386	16/15	112
4/3	498	16/15	112
64/45	610	16/15	112
1024/675	722	16/15	112
16384/10125	833	16/15	112
3375/2048	865	34171875/33554432	32
225/128	977	16/15	112
15/8	1088	16/15	112
2	1200	16/15	112

Similar scales

File	Notes	Rotation	Max diff (¢)
archytas12_tuning-math_19356_19356	12	0	17.0
cv7	12	2	19.6
tertiadia2	12	2	19.6
tertiadia3	12	7	19.6
tertiadia5	12	6	19.6
cv5	12	7	19.6
diadie2	12	7	19.6
hen12	12	7	19.6
tertiadia1	12	0	19.6
tertiadia4	12	7	19.6

Parent scales

File	Notes	Max diff (¢)
48temp	48	1.5
xen18-erlich-doublewide-18	18	16.3
xen15-gilson-generalized-pythagorean-15-8-43	43	4.4
edo-43	43	4.5
xen18-erlich-helmholtz-53	53	1.8
22	22	15.1
edo-22	22	15.1
pajcirc	22	15.2
xen18-erlich-miracle-21	21	16.2
xen18-keenan-blackjack-guitar	21	16.2

Child scales

File	Notes	Max diff (¢)
xen18-erlich-miracle-05	5	10.0
xen17-erlich-dynamic-symmetrical-major	10	12.4
xen17-erlich-standard-pentachordal-major	10	12.4
xen18-erlich-superpyth-05	5	13.3
Ethiopia_Tizita	5	13.5
archytas8	8	14.0
xen18-erlich-miracle-06	6	14.3
xen17-erlich-alternate-pentachordal-major	10	15.1
xen17-erlich-static-symmetrical-major	10	15.1
CD10_13_Egypt	6	15.5

Mailing list post

From: Gene Ward Smith (2004-01-07)
Subject: The Six Tertiadia Scales

! tertiadia1.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
75/64
5/4
4/3
64/45
3/2
8/5
3375/2048
225/128
15/8
2

! tertiadia2.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
135/128
9/8
6/5
32/25
675/512
45/32
3/2
8/5
128/75
2048/1125
15/8
2

! tertiadia3.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
4096/3375
5/4
675/512
45/32
3/2
8/5
128/75
225/128
15/8
2

! tertiadia4.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
6/5
10125/8192
675/512
45/32
3/2
8/5
128/75
225/128
15/8
2

! tertiadia5.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
75/64
5/4
4/3
45/32
3/2
8/5
3375/2048
225/128
15/8
2

! tertiadia6.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
75/64
5/4
4/3
64/45
1024/675
16384/10125
3375/2048
225/128
15/8
2

Full thread (1 messages)

From: Gene Ward Smith (2004-01-07)
Subject: The Six Tertiadia Scales

! tertiadia1.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
75/64
5/4
4/3
64/45
3/2
8/5
3375/2048
225/128
15/8
2

! tertiadia2.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
135/128
9/8
6/5
32/25
675/512
45/32
3/2
8/5
128/75
2048/1125
15/8
2

! tertiadia3.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
4096/3375
5/4
675/512
45/32
3/2
8/5
128/75
225/128
15/8
2

! tertiadia4.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
6/5
10125/8192
675/512
45/32
3/2
8/5
128/75
225/128
15/8
2

! tertiadia5.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
75/64
5/4
4/3
45/32
3/2
8/5
3375/2048
225/128
15/8
2

! tertiadia6.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
75/64
5/4
4/3
64/45
1024/675
16384/10125
3375/2048
225/128
15/8
2

Raw file

! tertiadia6.scl
Tertiadia 2048/2025 262144/253125 scale
12
!
16/15
256/225
75/64
5/4
4/3
64/45
1024/675
16384/10125
3375/2048
225/128
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8422.html#8422
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_7445-9944.json
! topic_id = 8422
! msg_id = 8422