steldia

Stellated hexany plus diamond; superparticular ratios

Open in Scale Workshop Scala analysis Download scl

Properties

Notes18
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15662.html#15662
Thread1 scale
Tone Tone (¢) Step Step (¢)
15/14 119 15/14 119
8/7 231 16/15 112
7/6 267 49/48 36
6/5 316 36/35 49
60/49 351 50/49 35
5/4 386 49/48 36
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
25/14 1004 50/49 35
15/8 1088 21/20 84
2 1200 16/15 112

Parent scales

FileNotesMax diff (¢)
notchedcube 28 0.7
mircube 31 4.4
xen18-erlich-miracle-31 31 4.4
keenan5_269 31 4.5
keenan5_tuning_7341_7341 31 5.0
rational_canasta 31 5.3
rational_canasta_tuning_22793_23190 31 5.3
hemw 41 2.1
xen18-erlich-meantone-31 31 7.1
betacub 46 1.6

Child scales

FileNotesMax diff (¢)
xen12-wilson-06d-diamond 13 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
max5 12 0.0
max6 12 0.0
cxi1 11 0.0
Mailing list post 
From: Gene Ward Smith (2006-08-29)
Subject: Steldia, an 18-note 7-limit scale

Here's an interesting 18-note 7-limit scale containing both a diamond
and a stellated hexany, with scale steps which are all
superparticulars. It can be derived from tetrads in the cuboid region
[-1..0,-1..0,-1..1], and contains both the [-1..0,-1..0,-1..0] diamond
and the [-1..0,-1..0,0..1] stellated hexany. Interval sizes range from
15/14 to 50/49.

! steldia.scl
Stellated hexany plus diamond; superparticular ratios
18
!
15/14
8/7
7/6
6/5
60/49
5/4
9/7
4/3
7/5
10/7
3/2
8/5
5/3
12/7
7/4
25/14
15/8
2
! [-1..0, -1..0, -1..1]
Full thread (1 messages) 
From: Gene Ward Smith (2006-08-29)
Subject: Steldia, an 18-note 7-limit scale

Here's an interesting 18-note 7-limit scale containing both a diamond
and a stellated hexany, with scale steps which are all
superparticulars. It can be derived from tetrads in the cuboid region
[-1..0,-1..0,-1..1], and contains both the [-1..0,-1..0,-1..0] diamond
and the [-1..0,-1..0,0..1] stellated hexany. Interval sizes range from
15/14 to 50/49.

! steldia.scl
Stellated hexany plus diamond; superparticular ratios
18
!
15/14
8/7
7/6
6/5
60/49
5/4
9/7
4/3
7/5
10/7
3/2
8/5
5/3
12/7
7/4
25/14
15/8
2
! [-1..0, -1..0, -1..1]

Raw file

! steldia.scl
Stellated hexany plus diamond; superparticular ratios
18
!
15/14
8/7
7/6
6/5
60/49
5/4
9/7
4/3
7/5
10/7
3/2
8/5
5/3
12/7
7/4
25/14
15/8
2
! [-1..0, -1..0, -1..1]
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15662.html#15662
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 15662
! msg_id = 15662