breezb

Alternative block to breeza 40353607/40000000 & 40960000/40353607

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	27
Period	1200.0 ¢
Just	7-limit
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12756.html#12756
Thread	1 scale

Tone	Tone (¢)	Step	Step (¢)
50/49	35	50/49	35
16807/16000	85	823543/800000	50
128000/117649	146	2048000000/1977326743	61
28/25	196	823543/800000	50
8/7	231	50/49	35
400/343	266	50/49	35
2401/2000	316	823543/800000	50
49/40	351	50/49	35
5/4	386	50/49	35
64/49	462	256/245	76
3200/2401	497	50/49	35
160000/117649	532	50/49	35
7/5	583	823543/800000	50
10/7	617	50/49	35
117649/80000	668	823543/800000	50
2401/1600	703	50/49	35
1280000/823543	763	2048000000/1977326743	61
8/5	814	823543/800000	50
80/49	849	50/49	35
4000/2401	884	50/49	35
343/200	934	823543/800000	50
7/4	969	50/49	35
5764801/3200000	1019	823543/800000	50
640/343	1080	2048000000/1977326743	61
32000/16807	1115	50/49	35
49/25	1165	823543/800000	50
2	1200	50/49	35

Similar scales

File	Notes	Rotation	Max diff (¢)
xen18-erlich-myna-27	27	14	8.5
xen18-erlich-ennealimmal-27	27	0	14.0
vines_ovovo27eb5w6w7_00_D	27	8	17.1
edo-27	27	25	18.4
xen18-erlich-beatles-27	27	4	18.8
xen18-erlich-sensisept-27	27	17	19.2
xen18-erlich-sensipent-27	27	0	20.3
octacot27	27	24	22.3
xen18-erlich-tetracot-27	27	12	23.4

Parent scales

File	Notes	Max diff (¢)
miracle3	41	4.3
xen18-erlich-myna-31	31	8.5
studwacko	41	4.4
miracle41s	41	4.5
xen18-erlich-miracle-41	41	4.5
miracle41	41	4.9
newts	41	5.8
jove41	41	6.8
cbrat31	31	11.4
31edo-top	31	11.7

Child scales

File	Notes	Max diff (¢)
diaclose	17	0.7
brect35	15	0.7
xen12-wilson-06d-diamond	13	0.7
12_max7	12	0.7
max1	12	0.7
max2	12	0.7
max3	12	0.7
max4	12	0.7
max5	12	0.7
max6	12	0.7

Mailing list post

From: Gene Ward Smith (2005-10-02)
Subject: Two 27-note no-threes Fokker blocks

Here are the two blocks with the greatest number of (breed tempered)
ontonal tetrads resulting from 40353607/4000000 and 40960000/40353607.
The commas are breed-equivalent to 126/125 and 64/63 respectively, and
the whole matter could be approached via blocks using 126/125, 64/63,
and 2401/2400. However, omitting threes makes things easier to
analzye, and we can do it up to breed equivalence.

The two scales below have 11 otonal and 10 utonal tetrads, which is
good for a 7-limit effectively JI scale of this size.

! breeza.scl
A 40353607/40000000 & 40960000/40353607 Fokker block with 11 otonal
and 10 utonal tetrads
27
!
50/49
16807/16000
128000/117649
6400000/5764801
8/7
400/343
2401/2000
49/40
5/4
64/49
3200/2401
160000/117649
7/5
10/7
117649/80000
2401/1600
1280000/823543
8/5
80/49
4000/2401
343/200
7/4
5764801/3200000
640/343
32000/16807
49/25
2

! breezb.scl
Alternative block to breeza 40353607/40000000 & 40960000/40353607
27
!
50/49
16807/16000
128000/117649
28/25
8/7
400/343
2401/2000
49/40
5/4
64/49
3200/2401
160000/117649
7/5
10/7
117649/80000
2401/1600
1280000/823543
8/5
80/49
4000/2401
343/200
7/4
5764801/3200000
640/343
32000/16807
49/25
2

Full thread (1 messages)

From: Gene Ward Smith (2005-10-02)
Subject: Two 27-note no-threes Fokker blocks

Here are the two blocks with the greatest number of (breed tempered)
ontonal tetrads resulting from 40353607/4000000 and 40960000/40353607.
The commas are breed-equivalent to 126/125 and 64/63 respectively, and
the whole matter could be approached via blocks using 126/125, 64/63,
and 2401/2400. However, omitting threes makes things easier to
analzye, and we can do it up to breed equivalence.

The two scales below have 11 otonal and 10 utonal tetrads, which is
good for a 7-limit effectively JI scale of this size.

! breeza.scl
A 40353607/40000000 & 40960000/40353607 Fokker block with 11 otonal
and 10 utonal tetrads
27
!
50/49
16807/16000
128000/117649
6400000/5764801
8/7
400/343
2401/2000
49/40
5/4
64/49
3200/2401
160000/117649
7/5
10/7
117649/80000
2401/1600
1280000/823543
8/5
80/49
4000/2401
343/200
7/4
5764801/3200000
640/343
32000/16807
49/25
2

! breezb.scl
Alternative block to breeza 40353607/40000000 & 40960000/40353607
27
!
50/49
16807/16000
128000/117649
28/25
8/7
400/343
2401/2000
49/40
5/4
64/49
3200/2401
160000/117649
7/5
10/7
117649/80000
2401/1600
1280000/823543
8/5
80/49
4000/2401
343/200
7/4
5764801/3200000
640/343
32000/16807
49/25
2

Raw file

! breezb.scl
Alternative block to breeza 40353607/40000000 & 40960000/40353607
27
!
50/49
16807/16000
128000/117649
28/25
8/7
400/343
2401/2000
49/40
5/4
64/49
3200/2401
160000/117649
7/5
10/7
117649/80000
2401/1600
1280000/823543
8/5
80/49
4000/2401
343/200
7/4
5764801/3200000
640/343
32000/16807
49/25
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12756.html#12756
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 12756
! msg_id = 12756