breetet2

doubled Breed tetrad

Open in Scale Workshop Scala analysis Download scl

Properties

Notes13
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12269.html#12269
Thread2 scales
Tone Tone (¢) Step Step (¢)
49/48 36 49/48 36
25/24 71 50/49 35
7/6 267 28/25 196
49/40 351 21/20 84
5/4 386 50/49 35
4/3 498 16/15 112
10/7 617 15/14 119
35/24 653 49/48 36
3/2 702 36/35 49
49/30 849 49/45 147
5/3 884 50/49 35
7/4 969 21/20 84
2 1200 8/7 231

Parent scales

FileNotesMax diff (¢)
breetet3 25 0.0
mircube 31 3.8
circle31 31 5.4
myna23_tuning_66272_66321 23 10.8
xen18-erlich-myna-23 23 10.8
xen18-erlich-meantone-31 31 6.7
cbrat31 31 6.7
miracle41 41 2.5
edo-31 31 6.7
hemw 41 2.8

Child scales

FileNotesMax diff (¢)
raven-JI 7 0.0
xen12-wilson-39-4C2-hexany-00 6 0.0
xen03-wilson-acute-05 5 0.0
xen07-harrison-thoughts-5 5 0.0
met24-quasi_5-EDO_F 5 2.3
xen15-chalmers-triadic-diamond-11-9 7 3.9
xen12-chalmers-tritriadic-mt-11-27-9 7 7.1
xen15-chalmers-triadic-diamond-16-13 7 8.9
xen15-chalmers-triadic-diamond-17-14 7 15.2
CD07_18_Egypt 5 16.3
Mailing list post 
From: Gene Ward Smith (2005-06-04)
Subject: Breed tetrad dilation scales

These are isosceles triangles in the breed plane, with b(n) = 2n^2+2n+1
notes, b(n-1) otonal tetrads, b(n-2) utonal tetrads, for a total of
4n^2-8n+6 tetrads, so in the limit there are twice as many tetrads as
notes.

Below are the second and third scales, in detempered form.

! breetet2.scl
doubled Breed tetrad
13
!
49/48
25/24
7/6
49/40
5/4
4/3
10/7
35/24
3/2
49/30
5/3
7/4
2

! breetet3.scl
tripled Breed tetrad
25
!
49/48
25/24
15/14
35/32
9/8
7/6
49/40
5/4
245/192
125/96
21/16
4/3
10/7
35/24
3/2
49/32
25/16
49/30
5/3
7/4
25/14
175/96
90/49
15/8
2
Full thread (1 messages) 
From: Gene Ward Smith (2005-06-04)
Subject: Breed tetrad dilation scales

These are isosceles triangles in the breed plane, with b(n) = 2n^2+2n+1
notes, b(n-1) otonal tetrads, b(n-2) utonal tetrads, for a total of
4n^2-8n+6 tetrads, so in the limit there are twice as many tetrads as
notes.

Below are the second and third scales, in detempered form.

! breetet2.scl
doubled Breed tetrad
13
!
49/48
25/24
7/6
49/40
5/4
4/3
10/7
35/24
3/2
49/30
5/3
7/4
2

! breetet3.scl
tripled Breed tetrad
25
!
49/48
25/24
15/14
35/32
9/8
7/6
49/40
5/4
245/192
125/96
21/16
4/3
10/7
35/24
3/2
49/32
25/16
49/30
5/3
7/4
25/14
175/96
90/49
15/8
2

Raw file

! breetet2.scl
doubled Breed tetrad
13
!
49/48
25/24
7/6
49/40
5/4
4/3
10/7
35/24
3/2
49/30
5/3
7/4
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12269.html#12269
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 12269
! msg_id = 12269