whelp1

well-temperament with one pure third

Open in Scale Workshop Scala analysis Download scl

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 92
494 108
593 99
693 100
793 100
893 100
993 100
1092 99
1200 108

Similar scales

FileNotesRotationMax diff (¢)
Sp_refi_Ki_3 12 0 3.9
kirnberger3 12 0 3.9
akj_temperament 12 0 4.7
WTPB-24b 12 0 4.7
secorwt08 12 0 4.7
12_fun 12 9 4.8
johnson_ratwell 12 0 4.8
werckmeister3_eb 12 0 4.8
werckmeister3_eb89-l 12 0 4.8
werck3 12 0 4.9

Parent scales

FileNotesMax diff (¢)
xen18-erlich-passion-13 13 13.1
schisynch17 17 10.3
xen18-erlich-dimisept-20 20 7.8
dwarf17_5 17 10.8
xen02-wilson-arabic 17 10.8
xen03-wilson-baglama 17 10.8
xen03-wilson-positive-17 17 10.8
xen18-erlich-augene-15 15 12.7
xen18-erlich-augmented-15 15 12.7
xen18-darreg-djami-17 17 11.1

Child scales

FileNotesMax diff (¢)
xen09-wilson-marwa-11b-01 7 3.9
xen09-wilson-marwa-11b-02 7 3.9
xen09-wilson-marwa-11b-05 7 3.9
xen10-wilson-purvi-09a-07 7 3.9
CD14_04_Algeria 6 4.7
xen09-wilson-marwa-05-01 7 4.7
xen10-wilson-purvi-01-07 7 4.7
xen18-darreg-djami-busalik 7 5.0
19berger 11 5.3
Cambodia_Pentatonic_02 5 6.8
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

! 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
!
! 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