triskabree12
Twelvth 16807/12800&117649/100000 scale = inverse triskabree13
Properties
| Notes | 13 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | 7-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12755.html#12755 |
|---|
| Thread | 1 scale |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 28/25 |
196 |
28/25 |
196 |
| 8/7 |
231 |
50/49 |
35 |
| 2401/2000 |
316 |
16807/16000 |
85 |
| 64/49 |
462 |
128000/117649 |
146 |
| 3200/2401 |
497 |
50/49 |
35 |
| 343/250 |
548 |
823543/800000 |
50 |
| 7/5 |
583 |
50/49 |
35 |
| 8/5 |
814 |
8/7 |
231 |
| 80/49 |
849 |
50/49 |
35 |
| 16807/10000 |
899 |
823543/800000 |
50 |
| 640/343 |
1080 |
6400000/5764801 |
181 |
| 49/25 |
1165 |
16807/16000 |
85 |
| 2 |
1200 |
50/49 |
35 |
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2005-10-02)
Subject: Some 7-limit 13-note no-fives Fokker blocks
Inspired, if that is the word, by the 14-note blocks with
2048/2025 and 2048/1875 as boundries, which worked out nicely for
marvel tempering, I decided to investigate 16807/12800 and
117649/100000, which gives 13-note Fokker blocks long in the
3*(2401/2400) direction, and therefore which might be good candidates
for breed tempering. As expected, I obtained 13 of these; the one
below has three otonal and two utonal tetrads upon breed tempering. In
the breed plane, the scale is far from bizarre looking; with 10/7
along the horizonal axis and 49/40 along the veritical axis, we get a
4x4 square of notes, with two removed from the upper right-hand corner
and one from the lower left-hand corner. "Triskabree", incidentally,
is contracted from triskaideca-breed. Here it is, in all it's
irregular, non-epimorphic glory:
! triskabree12.scl
Twelvth 16807/12800&117649/100000 scale = inverse triskabree13
13
!
28/25
8/7
2401/2000
64/49
3200/2401
343/250
7/5
8/5
80/49
16807/10000
640/343
49/25
2
Full thread (1 messages)
From: Gene Ward Smith (2005-10-02)
Subject: Some 7-limit 13-note no-fives Fokker blocks
Inspired, if that is the word, by the 14-note blocks with
2048/2025 and 2048/1875 as boundries, which worked out nicely for
marvel tempering, I decided to investigate 16807/12800 and
117649/100000, which gives 13-note Fokker blocks long in the
3*(2401/2400) direction, and therefore which might be good candidates
for breed tempering. As expected, I obtained 13 of these; the one
below has three otonal and two utonal tetrads upon breed tempering. In
the breed plane, the scale is far from bizarre looking; with 10/7
along the horizonal axis and 49/40 along the veritical axis, we get a
4x4 square of notes, with two removed from the upper right-hand corner
and one from the lower left-hand corner. "Triskabree", incidentally,
is contracted from triskaideca-breed. Here it is, in all it's
irregular, non-epimorphic glory:
! triskabree12.scl
Twelvth 16807/12800&117649/100000 scale = inverse triskabree13
13
!
28/25
8/7
2401/2000
64/49
3200/2401
343/250
7/5
8/5
80/49
16807/10000
640/343
49/25
2
Raw file
! triskabree12.scl
Twelvth 16807/12800&117649/100000 scale = inverse triskabree13
13
!
28/25
8/7
2401/2000
64/49
3200/2401
343/250
7/5
8/5
80/49
16807/10000
640/343
49/25
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12755.html#12755
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_12430-15927.json
! topic_id = 12755
! msg_id = 12755