breetet3

tripled Breed tetrad

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	25
Period	1200.0 ¢
Just	7-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12269.html#12269
Thread	2 scales

Tone	Tone (¢)	Step	Step (¢)
49/48	36	49/48	36
25/24	71	50/49	35
15/14	119	36/35	49
35/32	155	49/48	36
9/8	204	36/35	49
7/6	267	28/27	63
49/40	351	21/20	84
5/4	386	50/49	35
245/192	422	49/48	36
125/96	457	50/49	35
21/16	471	126/125	14
4/3	498	64/63	27
10/7	617	15/14	119
35/24	653	49/48	36
3/2	702	36/35	49
49/32	738	49/48	36
25/16	773	50/49	35
49/30	849	392/375	77
5/3	884	50/49	35
7/4	969	21/20	84
25/14	1004	50/49	35
175/96	1039	49/48	36
90/49	1053	1728/1715	13
15/8	1088	49/48	36
2	1200	16/15	112

Parent scales

File	Notes	Max diff (¢)
cbrat31	31	9.8
31edo-top	31	10.1
edo-31	31	10.4
xen18-erlich-meantone-31	31	10.5
xen18-erlich-cynder-31	31	10.5
circle31	31	10.8
xen18-erlich-luna-31	31	11.0
rational_canasta	31	12.1
rational_canasta_tuning_22793_23190	31	12.1
xen18-erlich-miracle-31	31	12.6

Child scales

File	Notes	Max diff (¢)
breetet2	13	0.0
qujus16	12	0.0
qujus17	12	0.0
10highschool2	10	0.0
cx1	10	0.0
xen12-wilson-40-5C2-dekany-00	10	0.0
ch9_3	9	0.0
kirkwood	8	0.0
mavchrome7	7	0.0
raven-JI	7	0.0

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

! 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
!
! 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