notchedcube
Otonal tetrads sharing a note with the root tetrad, a notched chord cube
Properties
| Notes | 28 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | 7-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_64910.html#64910 |
|---|
| Thread | 1 scale |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 49/48 |
36 |
49/48 |
36 |
| 25/24 |
71 |
50/49 |
35 |
| 21/20 |
84 |
126/125 |
14 |
| 15/14 |
119 |
50/49 |
35 |
| 35/32 |
155 |
49/48 |
36 |
| 9/8 |
204 |
36/35 |
49 |
| 8/7 |
231 |
64/63 |
27 |
| 7/6 |
267 |
49/48 |
36 |
| 6/5 |
316 |
36/35 |
49 |
| 49/40 |
351 |
49/48 |
36 |
| 5/4 |
386 |
50/49 |
35 |
| 9/7 |
435 |
36/35 |
49 |
| 21/16 |
471 |
49/48 |
36 |
| 4/3 |
498 |
64/63 |
27 |
| 7/5 |
583 |
21/20 |
84 |
| 10/7 |
617 |
50/49 |
35 |
| 35/24 |
653 |
49/48 |
36 |
| 3/2 |
702 |
36/35 |
49 |
| 49/32 |
738 |
49/48 |
36 |
| 25/16 |
773 |
50/49 |
35 |
| 8/5 |
814 |
128/125 |
41 |
| 5/3 |
884 |
25/24 |
71 |
| 12/7 |
933 |
36/35 |
49 |
| 7/4 |
969 |
49/48 |
36 |
| 25/14 |
1004 |
50/49 |
35 |
| 9/5 |
1018 |
126/125 |
14 |
| 15/8 |
1088 |
25/24 |
71 |
| 2 |
1200 |
16/15 |
112 |
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2006-03-02)
Subject: Microtonal barbershop
Given that the "barbershop chord", as in "Play That Barbershop Chord",
is an otonal tetrad, and given that commatic adjustments are a part of
the style, it would seem barbershop is already microtonal. However,
the chord relations are based on the chain of fifths, whereas the
native chord relations of 7-limit music involves the whole 7-limit
diamond. (I also wonder incidentally if 6:7:9:10 gets much play in
barbershop.)
If take an otonal tetrad, and look at all the otonal tetrads which, up
to octave equivalence, share a note with it, we get twelve chords.
These define twenty-eight notes, with thirteen otonal tetrads and ten
utonal tetrads, which I think would be a nice addition to the Scala
directory. It would be very interesting to see if a barbershop quartet
could be induced to sing music in a scale such as this, and it would
also be interesting to know how easily they could learn some such
notation as Sagittal for that purpose. I could certainly write such
music, if someone wanted to try singing it.
! notchedcube.scl
Otonal tetrads sharing a note with the root tetrad, a notched chord cube
28
!
49/48
25/24
21/20
15/14
35/32
9/8
8/7
7/6
6/5
49/40
5/4
9/7
21/16
4/3
7/5
10/7
35/24
3/2
49/32
25/16
8/5
5/3
12/7
7/4
25/14
9/5
15/8
2
Full thread (1 messages)
From: Gene Ward Smith (2006-03-02)
Subject: Microtonal barbershop
Given that the "barbershop chord", as in "Play That Barbershop Chord",
is an otonal tetrad, and given that commatic adjustments are a part of
the style, it would seem barbershop is already microtonal. However,
the chord relations are based on the chain of fifths, whereas the
native chord relations of 7-limit music involves the whole 7-limit
diamond. (I also wonder incidentally if 6:7:9:10 gets much play in
barbershop.)
If take an otonal tetrad, and look at all the otonal tetrads which, up
to octave equivalence, share a note with it, we get twelve chords.
These define twenty-eight notes, with thirteen otonal tetrads and ten
utonal tetrads, which I think would be a nice addition to the Scala
directory. It would be very interesting to see if a barbershop quartet
could be induced to sing music in a scale such as this, and it would
also be interesting to know how easily they could learn some such
notation as Sagittal for that purpose. I could certainly write such
music, if someone wanted to try singing it.
! notchedcube.scl
Otonal tetrads sharing a note with the root tetrad, a notched chord cube
28
!
49/48
25/24
21/20
15/14
35/32
9/8
8/7
7/6
6/5
49/40
5/4
9/7
21/16
4/3
7/5
10/7
35/24
3/2
49/32
25/16
8/5
5/3
12/7
7/4
25/14
9/5
15/8
2
Raw file
! notchedcube.scl
Otonal tetrads sharing a note with the root tetrad, a notched chord cube
28
!
49/48
25/24
21/20
15/14
35/32
9/8
8/7
7/6
6/5
49/40
5/4
9/7
21/16
4/3
7/5
10/7
35/24
3/2
49/32
25/16
8/5
5/3
12/7
7/4
25/14
9/5
15/8
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_64910.html#64910
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_55190-71650.json
! topic_id = 64910
! msg_id = 64910