metdia

Consists of the tetrads of detempered Meantone[21] = meandia.scl

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	19
Period	1200.0 ¢
Just	7-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15660.html#15660
Thread	2 scales

Tone	Tone (¢)	Step	Step (¢)
21/20	84	21/20	84
15/14	119	50/49	35
9/8	204	21/20	84
8/7	231	64/63	27
7/6	267	49/48	36
6/5	316	36/35	49
5/4	386	25/24	71
9/7	435	36/35	49
4/3	498	28/27	63
7/5	583	21/20	84
10/7	617	50/49	35
3/2	702	21/20	84
8/5	814	16/15	112
5/3	884	25/24	71
12/7	933	36/35	49
7/4	969	49/48	36
9/5	1018	36/35	49
15/8	1088	25/24	71
2	1200	16/15	112

Parent scales

File	Notes	Max diff (¢)
meandia	21	0.0
perz	27	0.0
notchedcube	28	0.0
cpak31	31	0.0
partch-41combo	41	0.0
mircube	31	4.4
mund45	45	0.0
schis41	41	3.2
tenn41b	41	3.2
betacub	46	2.0

Child scales

File	Notes	Max diff (¢)
xen12-wilson-06d-diamond	13	0.0
12highschool1	12	0.0
12highschool2	12	0.0
Spa_s_s_7_lim	12	0.0
hahn12	12	0.0
hen12	12	0.0
max1	12	0.0
max2	12	0.0
max3	12	0.0
max4	12	0.0

Mailing list post

From: Gene Ward Smith (2006-08-29)
Subject: Detempered Meantone[21]

Here are two more superparticular ratio scales containing the 7-limit
diamond; the first is detempered Meantone[21], and the second is the
19-note scale consisting of tetrads.

! meandia.scl
Detempered Meantone[21]; contains 7-limit diamond
21
!
21/20
15/14
9/8
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
14/9
8/5
5/3
12/7
7/4
9/5
15/8
27/14
2

! metdia.scl
Consists of the tetrads of detempered Meantone[21] = meandia.scl
19
!
21/20
15/14
9/8
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
8/5
5/3
12/7
7/4
9/5
15/8
2
! [[0, -1, 0], [0, -1, -1], [0, 0, -1], [-1, 0, -1], [-1, 0, 1], [-1,
1, 0], 
! [0, 0, 0], [-1, -1, 0], [0, 0, 1], [-1, 0, 0], [-1, 1, 1], [-1, -1, -1]]

Full thread (1 messages)

From: Gene Ward Smith (2006-08-29)
Subject: Detempered Meantone[21]

Here are two more superparticular ratio scales containing the 7-limit
diamond; the first is detempered Meantone[21], and the second is the
19-note scale consisting of tetrads.

! meandia.scl
Detempered Meantone[21]; contains 7-limit diamond
21
!
21/20
15/14
9/8
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
14/9
8/5
5/3
12/7
7/4
9/5
15/8
27/14
2

! metdia.scl
Consists of the tetrads of detempered Meantone[21] = meandia.scl
19
!
21/20
15/14
9/8
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
8/5
5/3
12/7
7/4
9/5
15/8
2
! [[0, -1, 0], [0, -1, -1], [0, 0, -1], [-1, 0, -1], [-1, 0, 1], [-1,
1, 0], 
! [0, 0, 0], [-1, -1, 0], [0, 0, 1], [-1, 0, 0], [-1, 1, 1], [-1, -1, -1]]

Raw file

! metdia.scl
Consists of the tetrads of detempered Meantone[21] = meandia.scl
19
!
21/20
15/14
9/8
8/7
7/6
6/5
5/4
9/7
4/3
7/5
10/7
3/2
8/5
5/3
12/7
7/4
9/5
15/8
2
! [[0, -1, 0], [0, -1, -1], [0, 0, -1], [-1, 0, -1], [-1, 0, 1], [-1,
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15660.html#15660
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 15660
! msg_id = 15660