lumma_synchtrinesplus2

The 12-tone equal temperament with 2:3:4 brats of +2

Properties

Notes12
Period1197.3945 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_69922.html#69922
Thread1 scale
Tone (¢) Step (¢)
100 100
200 100
299 100
399 100
499 100
599 100
698 100
798 100
898 100
998 100
1098 100
1197 100

Similar scales

FileNotesRotationMax diff (¢)
synchtrinesplus2 12 11 0.0
zeta12 12 3 0.3
xen18-erlich-catler-12 12 8 0.3
alafried 12 2 1.6
alabake 12 10 2.4
11lwt 12 4 2.6
ForCarl5 12 0 2.6
Neidhard1724rationalETapprox 12 0 2.6
edo-12 12 0 2.6
hammond12 12 1 2.6

Parent scales

FileNotesMax diff (¢)
7-and-12 18 2.6
xen18-erlich-passion-13 13 8.3
xen18-erlich-dimipent-20 20 2.6
xen18-erlich-catler-24 24 0.3
xen18-erlich-dimisept-20 20 3.3
edo-24 24 2.6
bidiatonic 14 11.3
xen18-erlich-compton-24 24 3.2
fifaug 15 10.9
dwarf17_5 17 9.3

Child scales

FileNotesMax diff (¢)
xen18-erlich-dimipent-08 8 1.9
edo-06 6 2.6
xen18-erlich-dimisept-08 8 3.3
xen15-chalmers-triadic-reversed-diamond-34-27 7 3.5
xen15-chalmers-triadic-diamond-34-27 7 3.5
CD16_09_Morocco 6 3.6
xen18-erlich-passion-05 5 3.7
xen18-erlich-helmholtz-05 5 3.9
xen09-chalmers-tritriadic-16-19-24 7 4.3
xen09-chalmers-tritriadic-34-36-51 7 4.3
Mailing list post
From: Aaron Krister Johnson (2007-02-20)
Subject: lumma_synchtrines+2.scl

Carl,

! lumma_synchtrines+2.scl
!
The 12-tone equal temperament with 2:3:4 brats of +2
 12
!
 99.78287
 199.56575
 299.34862
 399.13150
 498.91437
 598.69725
 698.48012
 798.26300
 898.04587
 997.82875
 1097.61162
 1197.39450

This is cool...is this an offshoot of your 'Alaska' thinking?
I notice the flat octaves.
Full thread (3 messages)
From: Aaron Krister Johnson (2007-02-20)
Subject: lumma_synchtrines+2.scl

Carl,

! lumma_synchtrines+2.scl
!
The 12-tone equal temperament with 2:3:4 brats of +2
 12
!
 99.78287
 199.56575
 299.34862
 399.13150
 498.91437
 598.69725
 698.48012
 798.26300
 898.04587
 997.82875
 1097.61162
 1197.39450

This is cool...is this an offshoot of your 'Alaska' thinking?
I notice the flat octaves.
From: Carl Lumma (2007-02-20)
Subject: Re: lumma_synchtrines+2.scl

> ! lumma_synchtrines+2.scl
> !
> The 12-tone equal temperament with 2:3:4 brats of +2
>  12
> !
>  99.78287
>  199.56575
>  299.34862
>  399.13150
>  498.91437
>  598.69725
>  698.48012
>  798.26300
>  898.04587
>  997.82875
>  1097.61162
>  1197.39450
> 
> This is cool...is this an offshoot of your 'Alaska' thinking?
> I notice the flat octaves.

The flat octaves are Gene's idea, really.  He just convinced
me to try them out.  And they work well.  So far I've only
given them a fair shake on synths -- to put them on a piano,
I'm thinking beat rates must be used (I'm currently working
on a bearing plan).

The trines with brats of +2 are my doing, though it was
Gene who pointed out that because of the flat octaves making
good triadic brats in one octave won't transfer to other
octaves, and therefore that trinic brats were a good idea.

By the way, I don't know if I ever published Alaska7.  It's
definitely my best circulating flat-octaves tuning.

!
 Alaska7, Carl Lumma, 18 Feb 2007.
 12
!
 92.096
 197.411
 293.913
 394.822
 495.731
 592.233
 697.548
 794.051
 894.960
 995.868
 1092.371
 1197.686
!
! 4 x 395-cent 3rds on C G D A.
! 4 x 399-cent 3rds on Bb F E B.
! 4 x 403-cent 3rds elsewhere.
!
! Also 1/9-comma zeta tuning, SSSSSSSLSLSL.

Remember, the 10ths will all be -3 cents of the 3rds.
And the minor 14ths too.

-Carl
From: Cameron Bobro (2007-02-21)
Subject: Re: lumma_synchtrines+2.scl

--- In tuning@yahoogroups.com, "Carl Lumma" <clumma@...> wrote:
> 
> By the way, I don't know if I ever published Alaska7.  It's
> definitely my best circulating flat-octaves tuning.
> 
> !
>  Alaska7, Carl Lumma, 18 Feb 2007.
>  12
> !
>  92.096
>  197.411
>  293.913
>  394.822
>  495.731
>  592.233
>  697.548
>  794.051
>  894.960
>  995.868
>  1092.371
>  1197.686
> !
> ! 4 x 395-cent 3rds on C G D A.
> ! 4 x 399-cent 3rds on Bb F E B.
> ! 4 x 403-cent 3rds elsewhere.
> !
> ! Also 1/9-comma zeta tuning, SSSSSSSLSLSL.
> 
> Remember, the 10ths will all be -3 cents of the 3rds.
> And the minor 14ths too.

So, with stuff that's SATB at heart, and avoiding parallel 
perfects... this should be a very mellow and consonant tuning,
nice.

Raw file

! lumma_synchtrines+2.scl
!
The 12-tone equal temperament with 2:3:4 brats of +2
 12
!
 99.78287
 199.56575
 299.34862
 399.13150
 498.91437
 598.69725
 698.48012
 798.26300
 898.04587
 997.82875
 1097.61162
 1197.39450
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_69922.html#69922
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_55190-71650.json
! topic_id = 69922
! msg_id = 69922