bigblok
Bigblok
Properties
| Notes | 28 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | 7-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11915.html#11915 |
|---|
| Thread | 1 scale |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 49/48 |
36 |
49/48 |
36 |
| 21/20 |
84 |
36/35 |
49 |
| 15/14 |
119 |
50/49 |
35 |
| 49/45 |
147 |
686/675 |
28 |
| 10/9 |
182 |
50/49 |
35 |
| 8/7 |
231 |
36/35 |
49 |
| 7/6 |
267 |
49/48 |
36 |
| 6/5 |
316 |
36/35 |
49 |
| 49/40 |
351 |
49/48 |
36 |
| 9/7 |
435 |
360/343 |
84 |
| 21/16 |
471 |
49/48 |
36 |
| 4/3 |
498 |
64/63 |
27 |
| 49/36 |
534 |
49/48 |
36 |
| 7/5 |
583 |
36/35 |
49 |
| 10/7 |
617 |
50/49 |
35 |
| 72/49 |
666 |
36/35 |
49 |
| 3/2 |
702 |
49/48 |
36 |
| 32/21 |
729 |
64/63 |
27 |
| 14/9 |
765 |
49/48 |
36 |
| 49/30 |
849 |
21/20 |
84 |
| 5/3 |
884 |
50/49 |
35 |
| 12/7 |
933 |
36/35 |
49 |
| 7/4 |
969 |
49/48 |
36 |
| 9/5 |
1018 |
36/35 |
49 |
| 90/49 |
1053 |
50/49 |
35 |
| 28/15 |
1081 |
686/675 |
28 |
| 40/21 |
1116 |
50/49 |
35 |
| 2 |
1200 |
21/20 |
84 |
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2005-04-08)
Subject: 7-limit planar lattice via fractional monzos: attn Monz
This 7-limit 2401/2400 lattice can be approached via Joe's favorite
fractional monzos, and from that I think he could figure out how to do
planar 7-limit lattice diagrams pretty easily. If we represent a 7 by
(2400)^(1/4), we are representing it by |5/4 1/4 1/2>. My lattice
business is simply what you get if you use this for 7s, and stick the
result inside the plane containing the 5-limit lattice: the pitch
class for 3 is [1,0], for 5 is [0,1], and for 7 is [1/4,1/2].
From this, given any 5-limit Fokker block, you can find the
corresponding 7-limit object by adding all the 7-limit lattice
elements which fall in the range of the block. A Fokker block obtained
from 25/24 and 81/80 is 1, 10/9, 6/5, 4/3, 3/2, 5/3, 9/5. If I use the
same range on the 7-limit planar lattice, I end up with the following
scale of 28 notes, which as expected makes use of 2401/2400
approximations to obtain extra 7-limit harmony.
! bigblok.scl
Bigblok
28
!
49/48
21/20
15/14
49/45
10/9
8/7
7/6
6/5
49/40
9/7
21/16
4/3
49/36
7/5
10/7
72/49
3/2
32/21
14/9
49/30
5/3
12/7
7/4
9/5
90/49
28/15
40/21
2
Full thread (1 messages)
From: Gene Ward Smith (2005-04-08)
Subject: 7-limit planar lattice via fractional monzos: attn Monz
This 7-limit 2401/2400 lattice can be approached via Joe's favorite
fractional monzos, and from that I think he could figure out how to do
planar 7-limit lattice diagrams pretty easily. If we represent a 7 by
(2400)^(1/4), we are representing it by |5/4 1/4 1/2>. My lattice
business is simply what you get if you use this for 7s, and stick the
result inside the plane containing the 5-limit lattice: the pitch
class for 3 is [1,0], for 5 is [0,1], and for 7 is [1/4,1/2].
From this, given any 5-limit Fokker block, you can find the
corresponding 7-limit object by adding all the 7-limit lattice
elements which fall in the range of the block. A Fokker block obtained
from 25/24 and 81/80 is 1, 10/9, 6/5, 4/3, 3/2, 5/3, 9/5. If I use the
same range on the 7-limit planar lattice, I end up with the following
scale of 28 notes, which as expected makes use of 2401/2400
approximations to obtain extra 7-limit harmony.
! bigblok.scl
Bigblok
28
!
49/48
21/20
15/14
49/45
10/9
8/7
7/6
6/5
49/40
9/7
21/16
4/3
49/36
7/5
10/7
72/49
3/2
32/21
14/9
49/30
5/3
12/7
7/4
9/5
90/49
28/15
40/21
2
Raw file
! bigblok.scl
Bigblok
28
!
49/48
21/20
15/14
49/45
10/9
8/7
7/6
6/5
49/40
9/7
21/16
4/3
49/36
7/5
10/7
72/49
3/2
32/21
14/9
49/30
5/3
12/7
7/4
9/5
90/49
28/15
40/21
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_11915.html#11915
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 11915
! msg_id = 11915