sternbrocot4

level 4 of the Stern-Brocot tree

Open in Scale Workshop Scala analysis Download scl

Properties

Notes16
Period1200.0 ¢
Just13-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_89401.html#89401
Thread1 scale
Tone Tone (¢) Step Step (¢)
6/5 316 6/5 316
5/4 386 25/24 71
9/7 435 36/35 49
4/3 498 28/27 63
11/8 551 33/32 53
7/5 583 56/55 31
10/7 617 50/49 35
3/2 702 21/20 84
11/7 782 22/21 81
8/5 814 56/55 31
13/8 841 65/64 27
5/3 884 40/39 44
12/7 933 36/35 49
7/4 969 49/48 36
9/5 1018 36/35 49
2 1200 10/9 182

Parent scales

FileNotesMax diff (¢)
cons21 24 0.0
xen07-forster-diamond 41 0.0
caleb46 46 0.0
xen12-hanson-12-ogdoadic-diamond 49 0.0
xen18-erlich-meantone-31 31 9.4
cbrat31 31 9.9
caleb46_4 46 4.8
circle31 31 10.8
xen12-wilson-14-diamond 29 12.1
edo-31 31 11.1

Child scales

FileNotesMax diff (¢)
xen18-ayers-table-65 8 0.0
xen18-ayers-table-71 8 0.0
fivecrys1 7 0.0
xen15-chalmers-triadic-diamond-5-4 7 0.0
xen18-ayers-table-41-42 7 0.0
genggong 5 0.0
xen03-wilson-negative-05 5 0.0
xen15-chalmers-triadic-diamond-8192-6561 7 2.0
keen1 5 2.0
keen3 5 2.0
Mailing list post 
From: genewardsmith (2010-05-20)
Subject: Stern-Brocot scale

For fans of the Stern-Brocot tree and superparticular scale steps I present the following scale, if that's what it really is. It has the same problem using the Farey sequence for a scale has--it isn't exactly regular. Note however that the even numbered steps are more generally consonant with the unison than the odd numbered steps, and the steps which are multiples of 4 have more oomph yet. In any case, I invite music from anyone who cares to try.

! sternbrocot4.scl
level 4 of the Stern-Brocot tree
16
!
6/5
5/4
9/7
4/3
11/8
7/5
10/7
3/2
11/7
8/5
13/8
5/3
12/7
7/4
9/5
2
Full thread (1 messages) 
From: genewardsmith (2010-05-20)
Subject: Stern-Brocot scale

For fans of the Stern-Brocot tree and superparticular scale steps I present the following scale, if that's what it really is. It has the same problem using the Farey sequence for a scale has--it isn't exactly regular. Note however that the even numbered steps are more generally consonant with the unison than the odd numbered steps, and the steps which are multiples of 4 have more oomph yet. In any case, I invite music from anyone who cares to try.

! sternbrocot4.scl
level 4 of the Stern-Brocot tree
16
!
6/5
5/4
9/7
4/3
11/8
7/5
10/7
3/2
11/7
8/5
13/8
5/3
12/7
7/4
9/5
2

Raw file

! sternbrocot4.scl
level 4 of the Stern-Brocot tree
16
!
6/5
5/4
9/7
4/3
11/8
7/5
10/7
3/2
11/7
8/5
13/8
5/3
12/7
7/4
9/5
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_89401.html#89401
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_88077-89999.json
! topic_id = 89401
! msg_id = 89401