glamma

Glamma = reca1c2, <12 19 27 34|-epimorphic

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	12
Period	1200.0 ¢
Just	7-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11333.html#11333
Thread	1 scale

Tone	Tone (¢)	Step	Step (¢)
25/24	71	25/24	71
35/32	155	21/20	84
8/7	231	256/245	76
6/5	316	21/20	84
5/4	386	25/24	71
10/7	617	8/7	231
35/24	653	49/48	36
3/2	702	36/35	49
5/3	884	10/9	182
12/7	933	36/35	49
7/4	969	49/48	36
2	1200	8/7	231

Parent scales

File	Notes	Max diff (¢)
cpak22	22	0.0
notchedcube	28	0.0
xen18-erlich-cynder-26	26	7.5
xen18-erlich-orson-31	31	4.9
mircube	31	5.0
xen18-erlich-orwell-31	31	5.3
circle31	31	5.4
xen18-erlich-meantone-31	31	6.7
cbrat31	31	6.7
edo-31	31	6.7

Child scales

File	Notes	Max diff (¢)
dwarf6_7	6	0.0
keentet	8	3.0
keen4	5	3.0
keen6	5	3.0
Benin_Trombone_02	5	8.0
starling7	7	8.3
supermagic7	7	11.6
supermagic10	10	15.0
hanson7	7	17.8
Indonesia_Slendro_Tandak_Geroh	5	21.2

Mailing list post

From: Gene Ward Smith (2004-08-14)
Subject: Epimorphic rectangular scales

There are twelve scales which result from taking a 3x2 rectangle of
tetrads within the cubic lattice of tetrads. One of them, reca1b2, or
glumma, is given by Scala to be permutation epimophic with respect to
the glumma val, <12 19 27 34|. In fact another of these scales,
reca1c2, has this property also. I give it below.

! glamma.scl
Glamma = reca1c2, <12 19 27 34|-epimorphic
12
!
25/24
35/32
8/7
6/5
5/4
10/7
35/24
3/2
5/3
12/7
7/4
2

Full thread (1 messages)

From: Gene Ward Smith (2004-08-14)
Subject: Epimorphic rectangular scales

There are twelve scales which result from taking a 3x2 rectangle of
tetrads within the cubic lattice of tetrads. One of them, reca1b2, or
glumma, is given by Scala to be permutation epimophic with respect to
the glumma val, <12 19 27 34|. In fact another of these scales,
reca1c2, has this property also. I give it below.

! glamma.scl
Glamma = reca1c2, <12 19 27 34|-epimorphic
12
!
25/24
35/32
8/7
6/5
5/4
10/7
35/24
3/2
5/3
12/7
7/4
2

Raw file

! glamma.scl
Glamma = reca1c2, <12 19 27 34|-epimorphic
12
!
25/24
35/32
8/7
6/5
5/4
10/7
35/24
3/2
5/3
12/7
7/4
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11333.html#11333
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 11333
! msg_id = 11333