cupid

Decatonic MOS from 13-tET.

Open in Scale Workshop Scala analysis Download scl

Properties

Notes10
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_7127.html#7127
Thread1 scale
Tone (¢) Step (¢)
185 185
277 92
369 92
554 185
646 92
738 92
923 185
1015 92
1108 92
1200 92

Similar scales

FileNotesRotationMax diff (¢)
xen13-rapoport-13tet-diatonic 10 3 0.5
10-13-58 10 0 23.9

Parent scales

FileNotesMax diff (¢)
edo-13 13 0.0
edo-26 26 0.0
lemba26 26 2.1
edo-39 39 0.0
xen18-erlich-lemba-26 26 6.2
xen18-erlich-injera-26 26 7.8
xen15-gilson-generalized-pythagorean-7-4-26 26 8.9
xen18-erlich-augene-39 39 3.9
edo-52 52 0.0
xen18-erlich-lemba-42 42 3.4

Child scales

FileNotesMax diff (¢)
xen18-erlich-orson-05 5 10.8
xen18-erlich-orwell-05 5 10.9
xen12-chalmers-tritriadic-dm-13-9-5 7 11.7
xen10-chalmers-tritriadic-17-13-19 7 15.9
Ethiopia_AI_512_20_1939 5 19.5
xen12-wilson-39-4C2-hexany-08 6 19.6
xen09-chalmers-tritriadic-1-5-11 7 19.6
Ethiopia_AI_541_84_1939 5 20.5
Ethiopia_Mus_05_1976 5 24.2
Mailing list post 
From: Carl Lumma (1999-12-21)
Subject: 10-tone MOS in 13-tET

! c:\win98\desktop\cupid.scl
!
 Decatonic MOS from 13-tET.
 10
!
 184.615 !......2
 276.923 !......3
 369.231 !......4
 553.846 !......6
 646.154 !......7
 738.462 !......8
 923.077 !.....10
 1015.385 !....11
 1107.692 !....12
 1200.000 !....13
!

Note the functional "minor thirds" (occuring as 2nds in 6 modes and as a
3rd in 1 mode), "minor sevenths" (as 8ths in 4 modes and as 9ths in 3),
"major sevenths" (as 9ths in 7 modes), and the remarkable 11:8's, mistuned
by less than 3 cents (again occuring in 7 out of 10 modes between two scale
degrees).

-Carl
Full thread (1 messages) 
From: Carl Lumma (1999-12-21)
Subject: 10-tone MOS in 13-tET

! c:\win98\desktop\cupid.scl
!
 Decatonic MOS from 13-tET.
 10
!
 184.615 !......2
 276.923 !......3
 369.231 !......4
 553.846 !......6
 646.154 !......7
 738.462 !......8
 923.077 !.....10
 1015.385 !....11
 1107.692 !....12
 1200.000 !....13
!

Note the functional "minor thirds" (occuring as 2nds in 6 modes and as a
3rd in 1 mode), "minor sevenths" (as 8ths in 4 modes and as 9ths in 3),
"major sevenths" (as 9ths in 7 modes), and the remarkable 11:8's, mistuned
by less than 3 cents (again occuring in 7 out of 10 modes between two scale
degrees).

-Carl

Raw file

! c:\win98\desktop\cupid.scl
!
 Decatonic MOS from 13-tET.
 10
!
 184.615 !......2
 276.923 !......3
 369.231 !......4
 553.846 !......6
 646.154 !......7
 738.462 !......8
 923.077 !.....10
 1015.385 !....11
 1107.692 !....12
 1200.000 !....13
!
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_7127.html#7127
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_0-19436.json
! topic_id = 7127
! msg_id = 7127