tet3a
Eight notes, two major one minor tetrad
Properties
| Notes | 8 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | 7-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54613.html#54613 |
|---|
| Thread | 2 scales |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 15/14 |
119 |
15/14 |
119 |
| 6/5 |
316 |
28/25 |
196 |
| 9/7 |
435 |
15/14 |
119 |
| 7/5 |
583 |
49/45 |
147 |
| 3/2 |
702 |
15/14 |
119 |
| 8/5 |
814 |
16/15 |
112 |
| 12/7 |
933 |
15/14 |
119 |
| 2 |
1200 |
7/6 |
267 |
Similar scales
| File | Notes | Rotation | Max diff (¢) |
|---|
| mir8 |
8 |
0 |
3.0 |
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2004-07-14)
Subject: An eight note miracle scale
Here is a 7-limit JI scale I've just mentioned on tuning-math:
1--15/14--6/5--9/7--7/5--3/2--8/5--12/7
It has two major and one minor tetrads, plus another minor triad which
does not complete to a tetrad. Also, it has a supermajor and a
subminor triad.
Tempering by 225/224 adds an additional major triad and a "magic"
augmented triad. In miracle, the chain of secors is 0,1,5,6,7,8,13,14;
which in 72-et leads to steps of size 7,12,7,9,7,7,7,16; irregular but
not extreme in terms of evenness.
I have a feeling this might have been discussed before, but I can't
find it in the Scala archives, and it certainly could be useful for
people composing in miracle; it is in the range of scales which can be
understood as such, you can transpose in Blackjack for fans of
Blackjack, and it has enough harmonic resources to harmonize its own
notes.
! mir8.scl
tet3a in 72-et
8
!
116.666667
316.666667
433.333333
583.333333
700.000000
816.666667
933.333333
1200.00000
! tet3a.scl
Eight notes, two major one minor tetrad
8
!
15/14
6/5
9/7
7/5
3/2
8/5
12/7
2
Full thread (1 messages)
From: Gene Ward Smith (2004-07-14)
Subject: An eight note miracle scale
Here is a 7-limit JI scale I've just mentioned on tuning-math:
1--15/14--6/5--9/7--7/5--3/2--8/5--12/7
It has two major and one minor tetrads, plus another minor triad which
does not complete to a tetrad. Also, it has a supermajor and a
subminor triad.
Tempering by 225/224 adds an additional major triad and a "magic"
augmented triad. In miracle, the chain of secors is 0,1,5,6,7,8,13,14;
which in 72-et leads to steps of size 7,12,7,9,7,7,7,16; irregular but
not extreme in terms of evenness.
I have a feeling this might have been discussed before, but I can't
find it in the Scala archives, and it certainly could be useful for
people composing in miracle; it is in the range of scales which can be
understood as such, you can transpose in Blackjack for fans of
Blackjack, and it has enough harmonic resources to harmonize its own
notes.
! mir8.scl
tet3a in 72-et
8
!
116.666667
316.666667
433.333333
583.333333
700.000000
816.666667
933.333333
1200.00000
! tet3a.scl
Eight notes, two major one minor tetrad
8
!
15/14
6/5
9/7
7/5
3/2
8/5
12/7
2
Raw file
! tet3a.scl
Eight notes, two major one minor tetrad
8
!
15/14
6/5
9/7
7/5
3/2
8/5
12/7
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_54613.html#54613
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_52482-55189.json
! topic_id = 54613
! msg_id = 54613