mean441

7-limit JI meantone, 441-et detempered

Open in Scale Workshop Scala analysis Download scl

Properties

Notes12
Period1200.0 ¢
Just7-limit
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_59379.html#59379
Thread1 scale
Tone Tone (¢) Step Step (¢)
16384/15309 117 16384/15309 117
262144/234375 194 81648/78125 76
1225/1024 310 287109375/268435456 116
5/4 386 256/245 76
8192/6125 503 32768/30625 117
65536/46875 580 392/375 77
6125/4096 697 287109375/268435456 116
8/5 814 32768/30625 117
2048/1225 890 256/245 76
234375/131072 1006 287109375/268435456 116
15309/8192 1083 81648/78125 76
2 1200 16384/15309 117

Similar scales

FileNotesRotationMax diff (¢)
xen18-schulter-didymic-1-4-12 12 2 0.7
meanquar 12 2 0.7
appalachian 12 2 0.7
meanqratapprox 12 2 0.7
12-31 12 2 1.4
xen18-erlich-meantone-12 12 0 2.1
meantop 12 2 2.1
pure7-6mnt 12 2 2.2
syncmt3 12 2 2.4
chris_tuning_96501_96501 12 2 2.6

Parent scales

FileNotesMax diff (¢)
meanquar_16 16 0.7
meantune 16 1.4
xen18-schulter-didymic-1-4-17 17 0.7
xen07-chalmers-meantone 19 0.7
meanquar_19 19 0.7
xen07-chalmers-19-31-equal 19 1.4
xen07-chalmers-lst 19 1.9
xen18-erlich-meantone-19 19 2.1
dwarf15marv 15 6.2
scott 19 2.7

Child scales

FileNotesMax diff (¢)
xen18-erlich-luna-05 5 0.7
dialeastsquares 7 1.6
xen18-erlich-meantone-07 7 2.1
xen18-erlich-meantone-05 5 2.1
diaopt5 7 2.4
diaopt7 7 2.4
qm2 7 3.4
Vietnam_Bac 5 4.8
fivecrys1 7 5.4
xen15-chalmers-triadic-diamond-5-4 7 5.4
Mailing list post 
From: Gene Ward Smith (2005-07-20)
Subject: Another kind of non-epimorphic constant structure scale

This scale is a 7-limit rational meantone, which was constructed as a
detempering using the commas of 441-et of a 7-limit meantone fifth, a
fifth flat by 3136/3125. Aside from whatever interest that might hold,
it is interesting as an example of a constant structure scale which is
not epimorphic, and for which even a rationally valued val does not
exist. It is, in other words, very far from being epimorphic, but
easily constant structure, being a slightly irregular Meantone[12] MOS.

! mean441.scl
7-limit JI meantone, 441-et detempered
12
!
16384/15309
262144/234375
1225/1024
5/4
8192/6125
65536/46875
6125/4096
8/5
2048/1225
234375/131072
15309/8192
2
Full thread (1 messages) 
From: Gene Ward Smith (2005-07-20)
Subject: Another kind of non-epimorphic constant structure scale

This scale is a 7-limit rational meantone, which was constructed as a
detempering using the commas of 441-et of a 7-limit meantone fifth, a
fifth flat by 3136/3125. Aside from whatever interest that might hold,
it is interesting as an example of a constant structure scale which is
not epimorphic, and for which even a rationally valued val does not
exist. It is, in other words, very far from being epimorphic, but
easily constant structure, being a slightly irregular Meantone[12] MOS.

! mean441.scl
7-limit JI meantone, 441-et detempered
12
!
16384/15309
262144/234375
1225/1024
5/4
8192/6125
65536/46875
6125/4096
8/5
2048/1225
234375/131072
15309/8192
2

Raw file

! mean441.scl
7-limit JI meantone, 441-et detempered
12
!
16384/15309
262144/234375
1225/1024
5/4
8192/6125
65536/46875
6125/4096
8/5
2048/1225
234375/131072
15309/8192
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_59379.html#59379
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_55190-71650.json
! topic_id = 59379
! msg_id = 59379