valid6

well-temperament with six pure fifths

Properties

Notes12
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_43994.html#43994
Thread1 scale
Tone (¢) Step (¢)
102 102
199 97
306 107
396 90
500 104
600 100
700 100
804 104
894 90
1001 107
1098 97
1200 102

Similar scales

FileNotesRotationMax diff (¢)
Secor_WT1-7_tuning_59689_60264 12 2 2.5
geo 12 6 2.5
secor_WT2-11R 12 9 2.5
george 12 6 2.5
Secor1_7MCRWT 12 2 2.5
young2 12 2 2.8
young 12 9 2.8
secrat 12 9 2.8
secor_WT2-11 12 9 2.8
Secor2_11WT 12 9 2.8

Parent scales

FileNotesMax diff (¢)
xen18-erlich-passion-13 13 10.7
7-and-12 18 5.9
fifaug 15 9.9
bidiatonic 14 11.9
xen18-erlich-dimipent-20 20 6.7
xen18-erlich-dimisept-20 20 7.3
JoanAlbertBan18tone 18 9.8
xen18-erlich-augmented-15 15 12.6
schisynch17 17 11.0
edo-24 24 5.9

Child scales

FileNotesMax diff (¢)
xen15-chalmers-triadic-diamond-64-51 7 3.0
xen15-chalmers-triadic-reversed-diamond-64-51 7 3.0
xen15-chalmers-triadic-reversed-diamond-34-27 7 3.0
xen15-chalmers-triadic-diamond-34-27 7 3.0
xen18-erlich-passion-05 5 3.6
edo-06 6 3.9
diet 7 4.6
xen18-erlich-helmholtz-05 5 4.6
xen09-chalmers-tritriadic-12-17-18 7 5.0
xen09-chalmers-tritriadic-34-36-51 7 5.0
Mailing list post
From: Gene Ward Smith (2003-06-01)
Subject: A well-temperament with six pure fifths

This does not stray nearly so far from 12-et, and Scala counts it as a
well-temperament. The little bit of 12-et in the middle of it isn't
something I put there; it falls out from the math when you take six
pure fifths centered on F#, and do a least-squares fit for the rest of it.

! valid6.scl
!
well-temperament with six pure fifths
 12
!
101.955001
198.882856
305.865004
396.089998
500.000000
600.000000
700.000000
803.910002
894.134997
1001.117144
1098.044999
1200.000000
Full thread (1 messages)
From: Gene Ward Smith (2003-06-01)
Subject: A well-temperament with six pure fifths

This does not stray nearly so far from 12-et, and Scala counts it as a
well-temperament. The little bit of 12-et in the middle of it isn't
something I put there; it falls out from the math when you take six
pure fifths centered on F#, and do a least-squares fit for the rest of it.

! valid6.scl
!
well-temperament with six pure fifths
 12
!
101.955001
198.882856
305.865004
396.089998
500.000000
600.000000
700.000000
803.910002
894.134997
1001.117144
1098.044999
1200.000000

Raw file

! valid6.scl
!
well-temperament with six pure fifths
 12
!
101.955001
198.882856
305.865004
396.089998
500.000000
600.000000
700.000000
803.910002
894.134997
1001.117144
1098.044999
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_43994.html#43994
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_40000-49986.json
! topic_id = 43994
! msg_id = 43994