modmos12a

A 12-note modmos in 50-et meantone

Open in Scale Workshop Scala analysis Download scl

Properties

Notes12
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10807.html#10807
Thread1 scale
Tone (¢) Step (¢)
24 24
192 168
264 72
384 120
456 72
576 120
696 120
768 72
840 72
960 120
1080 120
1200 120

Parent scales

FileNotesMax diff (¢)
edo-50 50 0.0
breezb 27 11.0
xen14-polansky-horn 21 14.8
secor_19p3 22 15.2
cata34 34 8.7
rational_canasta 31 10.9
rational_canasta_tuning_22793_23190 31 10.9
xen18-erlich-miracle-31 31 10.9
mircube 31 10.9
qx2 31 11.3

Child scales

FileNotesMax diff (¢)
hemi6 6 8.8
ninelim 5 11.9
xen12-wilson-09-4C2-hexany-04 6 14.2
xen09-wilson-marwa-07-04 7 14.8
xen12-wilson-09-4C2-hexany-00 6 14.8
parizekmic5 5 15.1
xen09-wilson-marwa-12-02 7 16.5
xen13-mclaren-recurrence-2 7 18.2
met24-oceania_C 5 21.7
Ethiopia_AI_541_84_1939 5 22.0
Mailing list post 
From: Gene Ward Smith (2004-07-12)
Subject: A 12 note meantone modmos

I was trying to figure out, by fiddling with an example, what methods
might be suitable for constructing modmos. It doesn't seem to me that
limiting the number of islands, which would be the simplest case after
MOS, is necessarily the most interesting. Below I give a
paper-and-pencil constructed modmos, which has three major tetrads and
one minor tetrad, rather than the two and two of Meantone[12]. It is
in 50-et, a tuning range with excellent 11 and 13 harmonies, and some
of that comes with this scale. While one may still prefer
Meantone[12], clearly a scale like this has its merits. It also has
five separate islands; the chain of fifths being
0,1,2;4,5,6;8,9,10,11;15;19.

Here's a Scala scl for it:

! modmos12a.scl
A 12-note modmos in 50-et meantone
12
!
24.000000
192.000000
264.000000
384.000000
456.000000
576.000000
696.000000
768.000000
840.000000
960.000000
1080.000000
1200.000000
Full thread (1 messages) 
From: Gene Ward Smith (2004-07-12)
Subject: A 12 note meantone modmos

I was trying to figure out, by fiddling with an example, what methods
might be suitable for constructing modmos. It doesn't seem to me that
limiting the number of islands, which would be the simplest case after
MOS, is necessarily the most interesting. Below I give a
paper-and-pencil constructed modmos, which has three major tetrads and
one minor tetrad, rather than the two and two of Meantone[12]. It is
in 50-et, a tuning range with excellent 11 and 13 harmonies, and some
of that comes with this scale. While one may still prefer
Meantone[12], clearly a scale like this has its merits. It also has
five separate islands; the chain of fifths being
0,1,2;4,5,6;8,9,10,11;15;19.

Here's a Scala scl for it:

! modmos12a.scl
A 12-note modmos in 50-et meantone
12
!
24.000000
192.000000
264.000000
384.000000
456.000000
576.000000
696.000000
768.000000
840.000000
960.000000
1080.000000
1200.000000

Raw file

! modmos12a.scl
A 12-note modmos in 50-et meantone
12
!
24.000000
192.000000
264.000000
384.000000
456.000000
576.000000
696.000000
768.000000
840.000000
960.000000
1080.000000
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10807.html#10807
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 10807
! msg_id = 10807