brac

circulating temperament with simple beat ratios

Open in Scale Workshop Scala analysis Download scl

Properties

Notes12
Period1200.0 ¢
Just4691-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_60258.html#60258
Thread1 scale
Tone Tone (¢) Step Step (¢)
56640/53701 92 56640/53701 92
60008/53701 192 7501/7080 100
63720/53701 296 7965/7501 104
67264/53701 390 8408/7965 94
71685/53701 500 71685/67264 110
75056/53701 580 75056/71685 80
80276/53701 696 20069/18764 116
84960/53701 794 21240/20069 98
89920/53701 892 562/531 98
95580/53701 998 4779/4496 106
100544/53701 1086 25136/23895 88
2 1200 53701/50272 114

Similar scales

FileNotesRotationMax diff (¢)
circu 12 10 5.8
Sp11eys440Hz 12 5 5.8
val-werck 12 0 5.8
TO-523 12 0 5.9
secor12_1_tuning_59689_60205 12 0 5.9
secor12_1 12 0 5.9
Secor5_23TX 12 0 5.9
whelp3 12 5 6.1
Secor1_4TX 12 7 6.2
secorte08 12 0 6.2

Parent scales

FileNotesMax diff (¢)
xen03-wilson-positive-17 17 9.8
xen18-erlich-passion-13 13 14.1
schisynch17 17 10.0
dwarf17_5 17 10.6
xen02-wilson-arabic 17 10.6
xen18-erlich-dominant-17 17 11.2
xen03-wilson-baglama 17 11.7
xen18-darreg-djami-17 17 11.8
xen07-chalmers-sixth-comma 19 10.6
xen18-erlich-compton-24 24 7.3

Child scales

FileNotesMax diff (¢)
Vietnam_Bac 5 3.2
xen09-wilson-marwa-11b-05 7 3.5
xen10-wilson-purvi-09a-07 7 3.5
CD14_04_Algeria 6 5.2
CD14_03_Algeria 6 5.3
diaopt7 7 5.4
diaopt5 7 5.7
xen03-wilson-positive-07 7 5.9
xen09-wilson-marwa-02-06 7 5.9
xen09-wilson-marwa-09-13 7 5.9
Mailing list post 
From: Gene Ward Smith (2005-09-08)
Subject: A circulating temperament with exact brats

The wolfish triad for this one, on the F#/Gb degree, has a 14/11 type
major third and sharp fifth. The brat is the only one not simple,
177/176, though perhaps that is good enough as an approximate 1 to help.
The rest of it is pretty normal, but with nice brats; aside from the 3/2 
(pure fifths) and 2 brats Wendel used, it has brats of 4. This is also
a useful number, with the associated beat ratios going 4, -1, -1/4, so
that we have only integers and inverse integers (which amounts to the
same thing.)

! brac.scl
circulating temperament with simple beat ratios
! beat ratios 4 3/2 4 3/2 2 2 177/176 4 3/2 2 3/2 2
12
!
56640/53701
60008/53701
63720/53701
67264/53701
71685/53701
75056/53701
80276/53701
84960/53701
89920/53701
95580/53701
100544/53701
2
Full thread (1 messages) 
From: Gene Ward Smith (2005-09-08)
Subject: A circulating temperament with exact brats

The wolfish triad for this one, on the F#/Gb degree, has a 14/11 type
major third and sharp fifth. The brat is the only one not simple,
177/176, though perhaps that is good enough as an approximate 1 to help.
The rest of it is pretty normal, but with nice brats; aside from the 3/2 
(pure fifths) and 2 brats Wendel used, it has brats of 4. This is also
a useful number, with the associated beat ratios going 4, -1, -1/4, so
that we have only integers and inverse integers (which amounts to the
same thing.)

! brac.scl
circulating temperament with simple beat ratios
! beat ratios 4 3/2 4 3/2 2 2 177/176 4 3/2 2 3/2 2
12
!
56640/53701
60008/53701
63720/53701
67264/53701
71685/53701
75056/53701
80276/53701
84960/53701
89920/53701
95580/53701
100544/53701
2

Raw file

! brac.scl
circulating temperament with simple beat ratios
! beat ratios 4 3/2 4 3/2 2 2 177/176 4 3/2 2 3/2 2
12
!
56640/53701
60008/53701
63720/53701
67264/53701
71685/53701
75056/53701
80276/53701
84960/53701
89920/53701
95580/53701
100544/53701
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_60258.html#60258
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_55190-71650.json
! topic_id = 60258
! msg_id = 60258