diaclose

Convex closure of 7-limit diamond in breed plane

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	17
Period	1200.0 ¢
Just	7-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12208.html#12208
Thread	1 scale

Tone	Tone (¢)	Step	Step (¢)
49/48	36	49/48	36
8/7	231	384/343	195
7/6	267	49/48	36
6/5	316	36/35	49
49/40	351	49/48	36
5/4	386	50/49	35
4/3	498	16/15	112
7/5	583	21/20	84
10/7	617	50/49	35
3/2	702	21/20	84
8/5	814	16/15	112
49/30	849	49/48	36
5/3	884	50/49	35
12/7	933	36/35	49
7/4	969	49/48	36
49/25	1165	28/25	196
2	1200	50/49	35

Similar scales

File	Notes	Rotation	Max diff (¢)
diaconv2401	17	0	0.7

Parent scales

File	Notes	Max diff (¢)
diab19_612	19	0.4
breezb	27	0.7
woz31	31	0.0
qx2	31	0.4
myna23	23	6.9
myna23_tuning_66272_66321	23	6.9
xen18-erlich-myna-23	23	6.9
rational_canasta_tuning_22793_23190	31	2.8
xen18-erlich-miracle-31	31	3.4
keenan5_269	31	3.7

Child scales

File	Notes	Max diff (¢)
brect35	15	0.0
xen12-wilson-06d-diamond	13	0.0
max1	12	0.0
max2	12	0.0
max3	12	0.0
max4	12	0.0
max5	12	0.0
max6	12	0.0
brect33	9	0.0
ch9_6	9	0.0

Mailing list post

From: Gene Ward Smith (2005-05-25)
Subject: Convex breed closure of 7-limit diamond

Here's the 7-limit tonality diamond, projected to the breed plane, and
then convexly closed. You take the 5x5 square and remove eight notes
at the corners, and you get this 17 note scale, or gamut, or whatever
we are calling it this week. Naturally, you might want to breed temper
it, for instance by tuning it in 441 or 612.

! diaclose.scl
Convex closure of 7-limit diamond in breed plane
17
!
49/48
8/7
7/6
6/5
49/40
5/4
4/3
7/5
10/7
3/2
8/5
49/30
5/3
12/7
7/4
49/25
2

Full thread (1 messages)

From: Gene Ward Smith (2005-05-25)
Subject: Convex breed closure of 7-limit diamond

Here's the 7-limit tonality diamond, projected to the breed plane, and
then convexly closed. You take the 5x5 square and remove eight notes
at the corners, and you get this 17 note scale, or gamut, or whatever
we are calling it this week. Naturally, you might want to breed temper
it, for instance by tuning it in 441 or 612.

! diaclose.scl
Convex closure of 7-limit diamond in breed plane
17
!
49/48
8/7
7/6
6/5
49/40
5/4
4/3
7/5
10/7
3/2
8/5
49/30
5/3
12/7
7/4
49/25
2

Raw file

! diaclose.scl
Convex closure of 7-limit diamond in breed plane
17
!
49/48
8/7
7/6
6/5
49/40
5/4
4/3
7/5
10/7
3/2
8/5
49/30
5/3
12/7
7/4
49/25
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12208.html#12208
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 12208
! msg_id = 12208