dhexmarv
Dualhex in 11-limit minimax Marvel ({225/224, 385/384}-planar)
Properties
| Notes | 12 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | No |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_50829.html#50829 |
|---|
| Thread | 1 scale |
|---|
| Tone (¢) |
Step (¢) |
| 116 |
116 |
| 152 |
36 |
| 268 |
116 |
| 384 |
116 |
| 469 |
85 |
| 536 |
67 |
| 701 |
165 |
| 767 |
67 |
| 853 |
85 |
| 968 |
116 |
| 1084 |
116 |
| 1200 |
116 |
Similar scales
Parent scales
Child scales
Mailing list post
From: Gene Ward Smith (2004-01-02)
Subject: Marvel
Some time back I named the 11-limit planar temperament arising from
225/224 and 385/384 "Marvel"; no one objected, perhaps because no one
cared. In any case, since we give the same name to the related linear
temperaments in various prime limits, and deal as needed with their
bufurcation into more than one version as we go up limit, it seems to
me we could call 225/224-planar 7-limit Marvel and keep the same name
for 11-limit Marvel. When tempering out 225/224, it very often happens
that tempering out 385/384 makes sense; 11-limit Marvel has the same
generators (slightly flat fifths and thirds) as 7-limit Marvel and
they do seem a lot like two versions of the same temperament. The
other marvelous temperament of interest in the 11-limit would be
{225/224, 441/440}-planar, which I called Portent; this could be
considered another 11-limit version of Marvel, just as we have two
good 11-limit versions of septimal meantone, etc.
The minimax tuning for 11-limit Marvel has the fifths and 11s flat by
(4125/4096)^(1/9) and the major thirds flat by twice that amount; the
9/5s, 11/5s, and 11/9s are pure. (The 7s are flat by
(41503/41472)^(1/3).)
By way of comparison, here is dualhex in 11-limit Marvel:
! dhexmarv.scl
Dualhex in 11-limit minimax Marvel ({225/224, 385/384}-planar)
12
!
115.802647
151.994179
267.796826
383.599473
468.992587
535.593652
700.597880
767.198946
852.592059
968.394706
1084.197353
1200.000000
Full thread (1 messages)
From: Gene Ward Smith (2004-01-02)
Subject: Marvel
Some time back I named the 11-limit planar temperament arising from
225/224 and 385/384 "Marvel"; no one objected, perhaps because no one
cared. In any case, since we give the same name to the related linear
temperaments in various prime limits, and deal as needed with their
bufurcation into more than one version as we go up limit, it seems to
me we could call 225/224-planar 7-limit Marvel and keep the same name
for 11-limit Marvel. When tempering out 225/224, it very often happens
that tempering out 385/384 makes sense; 11-limit Marvel has the same
generators (slightly flat fifths and thirds) as 7-limit Marvel and
they do seem a lot like two versions of the same temperament. The
other marvelous temperament of interest in the 11-limit would be
{225/224, 441/440}-planar, which I called Portent; this could be
considered another 11-limit version of Marvel, just as we have two
good 11-limit versions of septimal meantone, etc.
The minimax tuning for 11-limit Marvel has the fifths and 11s flat by
(4125/4096)^(1/9) and the major thirds flat by twice that amount; the
9/5s, 11/5s, and 11/9s are pure. (The 7s are flat by
(41503/41472)^(1/3).)
By way of comparison, here is dualhex in 11-limit Marvel:
! dhexmarv.scl
Dualhex in 11-limit minimax Marvel ({225/224, 385/384}-planar)
12
!
115.802647
151.994179
267.796826
383.599473
468.992587
535.593652
700.597880
767.198946
852.592059
968.394706
1084.197353
1200.000000
Raw file
! dhexmarv.scl
Dualhex in 11-limit minimax Marvel ({225/224, 385/384}-planar)
12
!
115.802647
151.994179
267.796826
383.599473
468.992587
535.593652
700.597880
767.198946
852.592059
968.394706
1084.197353
1200.000000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_50829.html#50829
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_50001-52481.json
! topic_id = 50829
! msg_id = 50829