10_serpent2

Two pentatonic chains of 3:2's rooted a 7:4 apart, tuned in 31-tet.

Open in Scale Workshop Scala analysis Download scl

Properties

Notes10
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15025.html#15025
Thread2 scales
Tone (¢) Step (¢)
155 155
194 39
387 194
465 77
658 194
697 39
890 194
968 77
1161 194
1200 39

Parent scales

FileNotesMax diff (¢)
xen18-erlich-cynder-26 26 1.7
xen13-grady-sophia 14 11.4
edo-31 31 0.0
urania24 24 4.1
31edo-top 31 1.5
xen18-erlich-cynder-31 31 1.7
quasi-phillips 19 9.2
circle31 31 2.2
cbrat31 31 2.3
xen18-erlich-meantone-31 31 2.5

Child scales

FileNotesMax diff (¢)
didymus9 9 3.7
keen6 5 4.6
China_Sien_tsu 5 5.2
Cambodia_Pentatonic_02 5 7.1
ninelim 5 10.4
Korea_Sangyongsan_01 5 13.8
Cambodia_Pentatonic_01 5 16.8
Solomon_Islands_Xylophone_05 5 17.1
CD15_15_Morocco 5 18.8
CD04_05_Egypt 6 18.9
Mailing list post 
From: Carl Lumma (2006-06-01)
Subject: what are these?

How would these be described?

! 10_serpent1.scl
!
 Two pentatonic chains of 7:4's rooted a 5:4 apart, tuned in 31-tet.
 10
!
 154.839 !.....4
 232.258 !.....6
 387.097 !....10
 464.516 !....12
 619.355 !....16
 696.774 !....18
 851.613 !....22
 967.742 !....25
 1083.871 !...28
 2/1 !........31
!
! Four 5-limit triads on 1-4-7, strictly proper.

! 10_serpent2.scl
!
 Two pentatonic chains of 3:2's rooted a 7:4 apart, tuned in 31-tet.
 10
!
 154.839 !......4
 193.548 !......5
 387.097 !.....10
 464.516 !.....12
 658.065 !.....17
 696.774 !.....18
 890.323 !.....23
 967.742 !.....25
 1161.290 !....30
 2/1 !.........31
!
! Four 5-limit triads on 1-4-7, not proper.

-Carl
Full thread (2 messages) 
From: Carl Lumma (2006-06-01)
Subject: what are these?

How would these be described?

! 10_serpent1.scl
!
 Two pentatonic chains of 7:4's rooted a 5:4 apart, tuned in 31-tet.
 10
!
 154.839 !.....4
 232.258 !.....6
 387.097 !....10
 464.516 !....12
 619.355 !....16
 696.774 !....18
 851.613 !....22
 967.742 !....25
 1083.871 !...28
 2/1 !........31
!
! Four 5-limit triads on 1-4-7, strictly proper.

! 10_serpent2.scl
!
 Two pentatonic chains of 3:2's rooted a 7:4 apart, tuned in 31-tet.
 10
!
 154.839 !......4
 193.548 !......5
 387.097 !.....10
 464.516 !.....12
 658.065 !.....17
 696.774 !.....18
 890.323 !.....23
 967.742 !.....25
 1161.290 !....30
 2/1 !.........31
!
! Four 5-limit triads on 1-4-7, not proper.

-Carl
From: Keenan Pepper (2006-06-02)
Subject: Re: [tuning-math] what are these?

On 6/1/06, Carl Lumma <ekin@lumma.org> wrote:
> How would these be described?

I would describe the first one as a subset of the 1029/1024 planar
temperament, and the second as a subset of the 7-limit 81/80 planar
temperament. Since you've presented them as subsets of 31-equal, of
course other commas are tempered out, but they're not important for
the harmony.

Keenan

Raw file

! 10_serpent2.scl
!
 Two pentatonic chains of 3:2's rooted a 7:4 apart, tuned in 31-tet.
 10
!
 154.839 !......4
 193.548 !......5
 387.097 !.....10
 464.516 !.....12
 658.065 !.....17
 696.774 !.....18
 890.323 !.....23
 967.742 !.....25
 1161.290 !....30
 2/1 !.........31
!
! Four 5-limit triads on 1-4-7, not proper.
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_15025.html#15025
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 15025
! msg_id = 15025