even12b

second maximally even {15/14,16/15,21/20,25/24} scale

Open in Scale Workshop Scala analysis Download scl

Properties

Notes12
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_13099.html#13099
Thread2 scales
Tone Tone (¢) Step Step (¢)
21/20 84 21/20 84
28/25 196 16/15 112
6/5 316 15/14 119
5/4 386 25/24 71
4/3 498 16/15 112
7/5 583 21/20 84
3/2 702 15/14 119
63/40 786 21/20 84
42/25 898 16/15 112
7/4 969 25/24 71
15/8 1088 15/14 119
2 1200 16/15 112

Similar scales

FileNotesRotationMax diff (¢)
xen18-erlich-augmented-12 12 3 15.6
xen18-erlich-augene-12 12 3 16.3
syndia5 12 5 19.6
diadiaschis1 12 4 19.6
diadiaschis2 12 11 19.6
syndia3 12 0 19.6
bayes_alt12 12 2 20.0
xen18-erlich-passion-12 12 6 20.4
aaron 12 8 20.5
AlexMalcom1721 12 0 20.5

Parent scales

FileNotesMax diff (¢)
xen07-chalmers-fifth-comma 19 8.6
xen07-chalmers-two-ninth-comma 19 9.0
byzantine 23 7.7
meanquar_16 16 13.8
xen07-chalmers-lst 19 11.3
qcmlji24 24 8.4
xen18-erlich-augmented-15 15 15.6
xen18-schulter-didymic-1-4-17 17 13.8
xen07-chalmers-19-31-equal 19 12.2
xen18-erlich-augene-15 15 16.3

Child scales

FileNotesMax diff (¢)
Ghana_Tomora_Ba 7 3.8
ForJustin-pentatonic001 5 3.9
China_Sien_tsu 5 7.2
Vietnam_Bac 5 7.2
diet 7 7.3
ninelim 5 7.7
xen09-chalmers-tritriadic-10-14-15 7 7.7
xen09-wilson-marwa-09-08 7 7.7
xen09-wilson-marwa-09-09 7 7.7
xen09-wilson-marwa-09-14 7 7.7
Mailing list post 
From: Gene Ward Smith (2005-10-30)
Subject: Maximally even {15/14,16/15,21/20,25/24} scales

There turn out to be two of these, with a maximum of five types of
intervals per interval type. The first appears to be more interesting.

! even12a.scl
first maximally even {15/14,16/15,21/20,25/24} scale
12
!
21/20
35/32
7/6
5/4
21/16
45/32
3/2
25/16
105/64
7/4
15/8
2

! even12b.scl
second maximally even {15/14,16/15,21/20,25/24} scale
12
!
21/20
28/25
6/5
5/4
4/3
7/5
3/2
63/40
42/25
7/4
15/8
2
Full thread (1 messages) 
From: Gene Ward Smith (2005-10-30)
Subject: Maximally even {15/14,16/15,21/20,25/24} scales

There turn out to be two of these, with a maximum of five types of
intervals per interval type. The first appears to be more interesting.

! even12a.scl
first maximally even {15/14,16/15,21/20,25/24} scale
12
!
21/20
35/32
7/6
5/4
21/16
45/32
3/2
25/16
105/64
7/4
15/8
2

! even12b.scl
second maximally even {15/14,16/15,21/20,25/24} scale
12
!
21/20
28/25
6/5
5/4
4/3
7/5
3/2
63/40
42/25
7/4
15/8
2

Raw file

! even12b.scl
second maximally even {15/14,16/15,21/20,25/24} scale
12
!
21/20
28/25
6/5
5/4
4/3
7/5
3/2
63/40
42/25
7/4
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_13099.html#13099
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 13099
! msg_id = 13099