sk13

13-limit JI scale with 14 complete septads

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	41
Period	1200.0 ¢
Just	13-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_7050.html#7050
Thread	1 scale

Tone	Tone (¢)	Step	Step (¢)
33/32	53	33/32	53
27/26	65	144/143	12
21/20	84	91/90	19
15/14	119	50/49	35
13/12	139	91/90	19
12/11	151	144/143	12
9/8	204	33/32	53
15/13	248	40/39	44
7/6	267	91/90	19
33/28	284	99/98	18
6/5	316	56/55	31
39/32	342	65/64	27
27/22	355	144/143	12
5/4	386	55/54	32
33/26	413	66/65	26
9/7	435	78/77	22
21/16	471	49/48	36
4/3	498	64/63	27
27/20	520	81/80	22
15/11	537	100/99	17
11/8	551	121/120	14
18/13	563	144/143	12
39/28	574	169/168	10
3/2	702	14/13	128
21/13	830	14/13	128
13/8	841	169/168	10
18/11	853	144/143	12
33/20	867	121/120	14
5/3	884	100/99	17
27/16	906	81/80	22
12/7	933	64/63	27
7/4	969	49/48	36
39/22	991	78/77	22
9/5	1018	66/65	26
11/6	1049	55/54	32
24/13	1061	144/143	12
15/8	1088	65/64	27
21/11	1119	56/55	31
27/14	1137	99/98	18
39/20	1156	91/90	19
2	1200	40/39	44

Similar scales

File	Notes	Rotation	Max diff (¢)
xen07-forster-diamond	41	17	0.0

Parent scales

File	Notes	Max diff (¢)
xen12-hanson-13-three-ogdoadic-diamonds	91	0.0
xen18-erlich-amity-53	53	8.3
Sp53via19lim	53	9.7
amity53pure	53	9.7
edo-54	54	9.5
septenarian53well	53	9.9
edo-53	53	10.0
xen18-erlich-hanson-53	53	10.0
SpaRational53Coll	53	10.1
xen15-gilson-generalized-pythagorean-3-2-53	53	10.2

Child scales

File	Notes	Max diff (¢)
12_o8x13	12	0.0
bicycle	12	0.0
harcb12	12	0.0
xen07-rosenthal-helix	10	0.0
ch9_1	9	0.0
08_o8	8	0.0
kirkwood	8	0.0
xen18-ayers-table-04	8	0.0
xen18-ayers-table-71	8	0.0
mavchrome7	7	0.0

Mailing list post

From: Gene Ward Smith (2003-10-20)
Subject: A 13-limit JI scale

I'm presenting this simply because I'm writing something in it. It is
irregular and has a lot of notes (41), but is useful because it has
fourteen complete 13-limit septads, 7 otonal and 7 utonal. It could be
tempered with (tempering out 10648/10647 is hardly likely to do any
damage, for instance) but I don't because the septads are all I need.

! sk13.scl
13-limit JI scale with 14 complete septads
41
!
33/32
27/26
21/20
15/14
13/12
12/11
9/8
15/13
7/6
33/28
6/5
39/32
27/22
5/4
33/26
9/7
21/16
4/3
27/20
15/11
11/8
18/13
39/28
3/2
21/13
13/8
18/11
33/20
5/3
27/16
12/7
7/4
39/22
9/5
11/6
24/13
15/8
21/11
27/14
39/20
2

Full thread (4 messages)

From: Gene Ward Smith (2003-10-20)
Subject: A 13-limit JI scale

I'm presenting this simply because I'm writing something in it. It is
irregular and has a lot of notes (41), but is useful because it has
fourteen complete 13-limit septads, 7 otonal and 7 utonal. It could be
tempered with (tempering out 10648/10647 is hardly likely to do any
damage, for instance) but I don't because the septads are all I need.

! sk13.scl
13-limit JI scale with 14 complete septads
41
!
33/32
27/26
21/20
15/14
13/12
12/11
9/8
15/13
7/6
33/28
6/5
39/32
27/22
5/4
33/26
9/7
21/16
4/3
27/20
15/11
11/8
18/13
39/28
3/2
21/13
13/8
18/11
33/20
5/3
27/16
12/7
7/4
39/22
9/5
11/6
24/13
15/8
21/11
27/14
39/20
2

From: Manuel Op de Coul (2003-10-21)
Subject: Re: [tuning-math] A 13-limit JI scale

And a known one, it's a transposition of the 13-limit
Partch diamond.

Manuel

From: Gene Ward Smith (2003-10-21)
Subject: Re: A 13-limit JI scale

--- In tuning-math@yahoogroups.com, "Manuel Op de Coul" 
<manuel.op.de.coul@e...> wrote:

> And a known one, it's a transposition of the 13-limit
> Partch diamond.

I presumed it was likely to be a known stellated something or other, 
but Scala didn't tell me that. Is there I way I could have gotten it 
to?

Thanks for the info!

From: Manuel Op de Coul (2003-10-22)
Subject: Re: [tuning-math] Re: A 13-limit JI scale

>I presumed it was likely to be a known stellated something or other,
>but Scala didn't tell me that. Is there I way I could have gotten it
>to?

I used the compare command. Another slightly crude way is
"iter/key lat/diam" and looking if you see a filled square.

Manuel

Raw file

! sk13.scl
13-limit JI scale with 14 complete septads
41
!
33/32
27/26
21/20
15/14
13/12
12/11
9/8
15/13
7/6
33/28
6/5
39/32
27/22
5/4
33/26
9/7
21/16
4/3
27/20
15/11
11/8
18/13
39/28
3/2
21/13
13/8
18/11
33/20
5/3
27/16
12/7
7/4
39/22
9/5
11/6
24/13
15/8
21/11
27/14
39/20
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_7050.html#7050
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_2440-7444.json
! topic_id = 7050
! msg_id = 7050