whelp2

well-temperament with two pure thirds

Properties

Notes12
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_43989.html#43989
Thread3 scales
Tone (¢) Step (¢)
92 92
193 101
294 101
386 93
494 107
592 98
699 107
792 93
893 101
994 101
1085 92
1200 115

Similar scales

FileNotesRotationMax diff (¢)
akj_temperament 12 0 3.9
kelletat 12 0 4.2
xen05-secor-2 12 3 4.2
Sp5LimDodek 12 0 4.3
Sp7th_part_SC 12 0 4.3
SpOldVienna 12 0 4.3
Sp_refi_Ki_3 12 0 4.3
WTPB-24b 12 0 4.3
bailey 12 0 4.3
kirnberger3 12 0 4.3

Parent scales

FileNotesMax diff (¢)
schisynch17 17 10.0
dwarf17_5 17 10.3
xen02-wilson-arabic 17 10.3
xen03-wilson-positive-17 17 10.3
xen18-erlich-dimisept-20 20 7.8
xen18-erlich-passion-13 13 14.5
xen18-erlich-dominant-17 17 10.7
xen03-wilson-baglama 17 11.2
xen07-chalmers-sixth-comma 19 9.6
xen18-darreg-djami-17 17 11.3

Child scales

FileNotesMax diff (¢)
xen09-wilson-marwa-11b-02 7 2.9
xen09-wilson-marwa-09-07 7 2.9
xen09-wilson-marwa-09-09 7 2.9
xen18-darreg-djami-busalik 7 4.2
xen03-wilson-positive-07 7 4.3
xen09-wilson-marwa-02-06 7 4.3
xen09-wilson-marwa-05-01 7 4.3
xen09-wilson-marwa-09-13 7 4.3
xen09-wilson-marwa-09-15 7 4.3
xen09-wilson-marwa-09-18 7 4.3
Mailing list post
From: Gene Ward Smith (2003-06-01)
Subject: Circulating temperaments with pure thirds

Scala, which has its standards, won't call these "well temperaments"
but they do circulate. I fixed one, two and three pure thirds
respectively in C major, and then did a least squares fit for the
remaining intervals.

! whelp1.scl
!
well-temperament with one pure third
 12
!
92.179265
193.156857
294.134449
386.313714
494.155249
593.011258
693.177657
793.156857
893.136057
993.302456
1092.158465
1200.000000

! whelp2.scl
!
well-temperament with two pure thirds
 12
!
91.656592
192.721296
293.611776
386.313714
493.766642
591.637234
699.090162
791.792100
892.682580
993.747284
1085.403876
1200.000000

! whelp3.scl
!
well-temperament with three pure thirds
 12
!
92.401428
193.156857
293.912285
386.313714
501.155286
591.201673
698.844714
793.156857
887.469000
995.112040
1085.158428
1200.000000
Full thread (1 messages)
From: Gene Ward Smith (2003-06-01)
Subject: Circulating temperaments with pure thirds

Scala, which has its standards, won't call these "well temperaments"
but they do circulate. I fixed one, two and three pure thirds
respectively in C major, and then did a least squares fit for the
remaining intervals.

! whelp1.scl
!
well-temperament with one pure third
 12
!
92.179265
193.156857
294.134449
386.313714
494.155249
593.011258
693.177657
793.156857
893.136057
993.302456
1092.158465
1200.000000

! whelp2.scl
!
well-temperament with two pure thirds
 12
!
91.656592
192.721296
293.611776
386.313714
493.766642
591.637234
699.090162
791.792100
892.682580
993.747284
1085.403876
1200.000000

! whelp3.scl
!
well-temperament with three pure thirds
 12
!
92.401428
193.156857
293.912285
386.313714
501.155286
591.201673
698.844714
793.156857
887.469000
995.112040
1085.158428
1200.000000

Raw file

! whelp2.scl
!
well-temperament with two pure thirds
 12
!
91.656592
192.721296
293.611776
386.313714
493.766642
591.637234
699.090162
791.792100
892.682580
993.747284
1085.403876
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_43989.html#43989
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_40000-49986.json
! topic_id = 43989
! msg_id = 43989