even12a

first 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
35/32 155 25/24 71
7/6 267 16/15 112
5/4 386 15/14 119
21/16 471 21/20 84
45/32 590 15/14 119
3/2 702 16/15 112
25/16 773 25/24 71
105/64 857 21/20 84
7/4 969 16/15 112
15/8 1088 15/14 119
2 1200 16/15 112

Similar scales

FileNotesRotationMax diff (¢)
diadieorw1 12 1 4.6
lumma 12 1 5.8
Lumma_in_72 12 1 7.1
12_prism 12 1 7.7
pris 12 1 7.7
diadie1 12 1 7.7
fokker_12 12 1 7.7
keenan 12 1 9.6
xen05-harrison-cinna 12 1 13.8
archytas12_tuning-math_19356_19356 12 1 18.7

Parent scales

FileNotesMax diff (¢)
phillips19_1 19 6.1
phillips19 19 6.2
phillips19_3 19 6.3
quasi-phillips 19 6.4
steldek1 30 0.0
euler20 20 6.4
phillips 22 7.5
euler24 24 6.4
phillips_22 22 7.7
keenan5_tuning_7341_7341 31 5.4

Child scales

FileNotesMax diff (¢)
xen12-wilson-09-4C2-hexany-02 6 0.0
keen6 5 3.0
lumma_wauchope-major 8 7.7
xen09-wilson-marwa-12-01 7 7.7
xen09-wilson-marwa-12-02 7 7.7
Central_African_Republic_Guinahui 5 12.1
CD07_16_bayati_Egypt 6 14.6
CD17_18_Tunisia 8 15.1
CD07_03_Egypt 8 15.5
parizekmic5 5 18.0
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

! 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
!
! 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