qx2
breed tempered |-15 0 -2 7> |-9 0 -7-9> Fokker block
Properties
| Notes | 31 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | No |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12388.html#12388 |
|---|
| Thread | 2 scales |
|---|
| Tone (¢) |
Step (¢) |
| 35 |
35 |
| 84 |
49 |
| 120 |
35 |
| 147 |
27 |
| 196 |
49 |
| 231 |
35 |
| 267 |
35 |
| 316 |
49 |
| 351 |
35 |
| 386 |
35 |
| 435 |
49 |
| 463 |
27 |
| 498 |
35 |
| 547 |
49 |
| 582 |
35 |
| 618 |
35 |
| 667 |
49 |
| 702 |
35 |
| 729 |
27 |
| 765 |
35 |
| 814 |
49 |
| 849 |
35 |
| 884 |
35 |
| 933 |
49 |
| 969 |
35 |
| 1004 |
35 |
| 1045 |
41 |
| 1080 |
35 |
| 1116 |
35 |
| 1165 |
49 |
| 1200 |
35 |
Similar scales
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2005-07-15)
Subject: Two 31 note epimorphic breed tempered scales
These scales breed tempered versions of Fokker blocks from the
two {2,5,7} commas, |-15 0 -2 7> and |-9 0 -7 9>. These two were
chosen to maximize harmony; they each have 13 otonal tetrads, 12
utonal tetrads, and five each otonal and utonal 9-limit quintads. I
give the tuning in 612-et, which of course is sensibly JI. Aside from
providing examples of breed tempered epimorphic scales, they make a
lot of sense as scales if effective JI and a lot of tetrads are
desiderata. Of course, Canasta has more tetrads, but not nearly as
well in tune, and getting this many tetrads using pure JI epimorphic
scales may not be possible. It would be fascinating to see an example
if it is. At the bottom I give the TM reduction.
! qx1.scl
breed tempered |-15 0 -2 7> |-9 0 -7-9> Fokker block
31
!
35.294118
84.313725
119.607843
154.901961
203.921569
239.215686
266.666667
315.686275
350.980392
386.274510
435.294118
470.588235
505.882353
554.901961
582.352941
617.647059
666.666667
701.960784
737.254902
786.274510
821.568627
849.019608
898.039216
933.333333
968.627451
1017.647059
1052.941176
1088.235294
1137.254902
1164.705882
1200.000000
! 49/48, 21/20, 15/14, 35/32, 9/8, 147/128, 7/6, 6/5, 49/40, 5/4,
! 9/7, 21/16, 75/56, 135/98, 7/5, 10/7, 72/49, 3/2, 49/32, 63/40,
! 45/28, 49/30, 42/25, 12/7, 7/4, 9/5, 90/49, 15/8, 27/14, 49/25, 2
! qx2.scl
breed tempered |-15 0 -2 7> |-9 0 -7-9> Fokker block
31
!
35.294118
84.313725
119.607843
147.058824
196.078431
231.372549
266.666667
315.686275
350.980392
386.274510
435.294118
462.745098
498.039216
547.058824
582.352941
617.647059
666.666667
701.960784
729.411765
764.705882
813.725490
849.019608
884.313725
933.333333
968.627451
1003.921569
1045.098039
1080.392157
1115.686275
1164.705882
1200.000000
! 49/48, 21/20, 15/14, 49/45, 28/25, 8/7, 7/6, 6/5, 49/40, 5/4,
! 9/7, 64/49, 4/3, 48/35, 7/5, 10/7, 72/49, 3/2, 32/21, 14/9,
! 8/5, 49/30, 5/3, 12/7, 7/4, 25/14, 64/35, 28/15, 40/21, 49/25 2
Full thread (1 messages)
From: Gene Ward Smith (2005-07-15)
Subject: Two 31 note epimorphic breed tempered scales
These scales breed tempered versions of Fokker blocks from the
two {2,5,7} commas, |-15 0 -2 7> and |-9 0 -7 9>. These two were
chosen to maximize harmony; they each have 13 otonal tetrads, 12
utonal tetrads, and five each otonal and utonal 9-limit quintads. I
give the tuning in 612-et, which of course is sensibly JI. Aside from
providing examples of breed tempered epimorphic scales, they make a
lot of sense as scales if effective JI and a lot of tetrads are
desiderata. Of course, Canasta has more tetrads, but not nearly as
well in tune, and getting this many tetrads using pure JI epimorphic
scales may not be possible. It would be fascinating to see an example
if it is. At the bottom I give the TM reduction.
! qx1.scl
breed tempered |-15 0 -2 7> |-9 0 -7-9> Fokker block
31
!
35.294118
84.313725
119.607843
154.901961
203.921569
239.215686
266.666667
315.686275
350.980392
386.274510
435.294118
470.588235
505.882353
554.901961
582.352941
617.647059
666.666667
701.960784
737.254902
786.274510
821.568627
849.019608
898.039216
933.333333
968.627451
1017.647059
1052.941176
1088.235294
1137.254902
1164.705882
1200.000000
! 49/48, 21/20, 15/14, 35/32, 9/8, 147/128, 7/6, 6/5, 49/40, 5/4,
! 9/7, 21/16, 75/56, 135/98, 7/5, 10/7, 72/49, 3/2, 49/32, 63/40,
! 45/28, 49/30, 42/25, 12/7, 7/4, 9/5, 90/49, 15/8, 27/14, 49/25, 2
! qx2.scl
breed tempered |-15 0 -2 7> |-9 0 -7-9> Fokker block
31
!
35.294118
84.313725
119.607843
147.058824
196.078431
231.372549
266.666667
315.686275
350.980392
386.274510
435.294118
462.745098
498.039216
547.058824
582.352941
617.647059
666.666667
701.960784
729.411765
764.705882
813.725490
849.019608
884.313725
933.333333
968.627451
1003.921569
1045.098039
1080.392157
1115.686275
1164.705882
1200.000000
! 49/48, 21/20, 15/14, 49/45, 28/25, 8/7, 7/6, 6/5, 49/40, 5/4,
! 9/7, 64/49, 4/3, 48/35, 7/5, 10/7, 72/49, 3/2, 32/21, 14/9,
! 8/5, 49/30, 5/3, 12/7, 7/4, 25/14, 64/35, 28/15, 40/21, 49/25 2
Raw file
! qx2.scl
breed tempered |-15 0 -2 7> |-9 0 -7-9> Fokker block
31
!
35.294118
84.313725
119.607843
147.058824
196.078431
231.372549
266.666667
315.686275
350.980392
386.274510
435.294118
462.745098
498.039216
547.058824
582.352941
617.647059
666.666667
701.960784
729.411765
764.705882
813.725490
849.019608
884.313725
933.333333
968.627451
1003.921569
1045.098039
1080.392157
1115.686275
1164.705882
1200.000000
! 49/48, 21/20, 15/14, 49/45, 28/25, 8/7, 7/6, 6/5, 49/40, 5/4,
! 9/7, 64/49, 4/3, 48/35, 7/5, 10/7, 72/49, 3/2, 32/21, 14/9,
! 8/5, 49/30, 5/3, 12/7, 7/4, 25/14, 64/35, 28/15, 40/21, 49/25 2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12388.html#12388
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_9945-12429.json
! topic_id = 12388
! msg_id = 12388