butterfly1

"Butterfly I" well-temperament

Properties

Notes12
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_47202.html#47202
Thread3 scales
Tone (¢) Step (¢)
95 95
196 101
296 101
393 96
498 105
593 95
698 105
795 96
895 101
996 101
1091 95
1200 109

Similar scales

FileNotesRotationMax diff (¢)
arrow2 12 0 1.2
neidhardt1 12 0 1.6
Secor-VRWT 12 0 1.9
lehman-bach 12 5 2.0
Broadwood 12 0 2.0
12_lumma_7thcomma2343 12 5 2.0
SecorVRWT-24e 12 0 2.2
arrow1 12 0 2.3
butterfly2 12 0 2.3
12_lumma_7thcomma2262 12 5 2.3

Parent scales

FileNotesMax diff (¢)
xen18-erlich-passion-13 13 10.2
xen18-erlich-dimipent-20 20 5.4
xen18-erlich-dimisept-20 20 5.9
7-and-12 18 9.0
schisynch17 17 9.9
xen18-erlich-helmholtz-17 17 10.0
xen07-chalmers-sixth-comma 19 8.4
dwarf17_5 17 10.6
xen02-wilson-arabic 17 10.6
xen03-wilson-baglama 17 10.6

Child scales

FileNotesMax diff (¢)
xen09-wilson-marwa-11b-01 7 2.7
xen09-wilson-marwa-09-04 7 3.5
xen09-wilson-marwa-09-07 7 3.5
xen09-wilson-marwa-09-13 7 3.5
xen03-wilson-positive-05 5 3.5
xen03-wilson-positive-07 7 4.7
xen09-wilson-marwa-02-06 7 4.7
xen10-wilson-purvi-01-06 7 4.7
xen15-gilson-eratosthenes-diatonic 7 4.7
xen09-wilson-marwa-05-01 7 4.7
Mailing list post
From: Herman Miller (2003-09-24)
Subject: Three more well-temperaments

Here are a few more well-temperaments I've found. These all have maximum
errors less than 20 cents in the thirds (both major and minor), and 6 cents
in the fifths.

"Butterfly I" (from the shape of the graph)

C-G, E-B tempered 3/20 Pyth. comma
G-D, A-E tempered 1/5 Pyth. comma
D-A, C#-G#, Eb-Bb tempered 1/10 Pyth. comma
B-F#-C#, Ab-Eb, Bb-F-C just

"Butterfly II"

G-D, A-E tempered 1/4 Pyth. comma
D-A, C#-G#, Eb-Bb tempered 1/10 Pyth. comma
F-C-G, E-B-F# tempered 1/20 Pyth. comma
F#-C#, Ab-Eb, Bb-F just

"Bug I"

C-G, A-E tempered 3/20 Pyth. comma
G-D-A tempered 1/4 Pyth. Comma
F#-C#, Eb-Bb tempered 1/10 Pyth. Comma
E-B-F#, C#-G#-D#, Bb-F-C just

I like this one. The C-E third is less than 3 cents sharp, it has lots of
just fifths, and a nice progression from "good" to "bad" thirds.

! butterfly1.scl
!
"Butterfly I" well-temperament
 12
!
 94.92188
 195.70313
 296.48438
 392.57813
 498.04688
 592.96875
 698.43750
 794.53125
 895.31250
 996.09375
 1091.01560
 2/1

! butterfly2.scl
!
"Butterfly II" well-temperament
 12
!
 96.09375
 196.87500
 297.65625
 392.57813
 499.21875
 594.14063
 700.78125
 795.70313
 896.48438
 997.26565
 1093.35935
 2/1

! bug.scl
!
"Bug I" well-temperament
 12
!
 92.57812
 194.53125
 296.48438
 389.06250
 498.04688
 592.96875
 698.43750
 794.53125
 890.62500
 996.09375
 1091.01560
 2/1
Full thread (1 messages)
From: Herman Miller (2003-09-24)
Subject: Three more well-temperaments

Here are a few more well-temperaments I've found. These all have maximum
errors less than 20 cents in the thirds (both major and minor), and 6 cents
in the fifths.

"Butterfly I" (from the shape of the graph)

C-G, E-B tempered 3/20 Pyth. comma
G-D, A-E tempered 1/5 Pyth. comma
D-A, C#-G#, Eb-Bb tempered 1/10 Pyth. comma
B-F#-C#, Ab-Eb, Bb-F-C just

"Butterfly II"

G-D, A-E tempered 1/4 Pyth. comma
D-A, C#-G#, Eb-Bb tempered 1/10 Pyth. comma
F-C-G, E-B-F# tempered 1/20 Pyth. comma
F#-C#, Ab-Eb, Bb-F just

"Bug I"

C-G, A-E tempered 3/20 Pyth. comma
G-D-A tempered 1/4 Pyth. Comma
F#-C#, Eb-Bb tempered 1/10 Pyth. Comma
E-B-F#, C#-G#-D#, Bb-F-C just

I like this one. The C-E third is less than 3 cents sharp, it has lots of
just fifths, and a nice progression from "good" to "bad" thirds.

! butterfly1.scl
!
"Butterfly I" well-temperament
 12
!
 94.92188
 195.70313
 296.48438
 392.57813
 498.04688
 592.96875
 698.43750
 794.53125
 895.31250
 996.09375
 1091.01560
 2/1

! butterfly2.scl
!
"Butterfly II" well-temperament
 12
!
 96.09375
 196.87500
 297.65625
 392.57813
 499.21875
 594.14063
 700.78125
 795.70313
 896.48438
 997.26565
 1093.35935
 2/1

! bug.scl
!
"Bug I" well-temperament
 12
!
 92.57812
 194.53125
 296.48438
 389.06250
 498.04688
 592.96875
 698.43750
 794.53125
 890.62500
 996.09375
 1091.01560
 2/1

Raw file

! butterfly1.scl
!
"Butterfly I" well-temperament
 12
!
 94.92188
 195.70313
 296.48438
 392.57813
 498.04688
 592.96875
 698.43750
 794.53125
 895.31250
 996.09375
 1091.01560
 2/1
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_47202.html#47202
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_40000-49986.json
! topic_id = 47202
! msg_id = 47202