prodigy12
Prodigy[12] 225/224&441/440 hobbit, 72et tuning
Properties
| Notes | 12 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | No |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95516.html#95516 |
|---|
| Thread | 1 scale |
|---|
| Tone (¢) |
Step (¢) |
| 117 |
117 |
| 233 |
117 |
| 267 |
33 |
| 383 |
117 |
| 500 |
117 |
| 583 |
83 |
| 700 |
117 |
| 817 |
117 |
| 933 |
117 |
| 967 |
33 |
| 1083 |
117 |
| 1200 |
117 |
Similar scales
Parent scales
Child scales
Mailing list post
From: genewardsmith (2011-01-11)
Subject: Prodigy[12]
Rolling along with these 11-limit 12 note hobbits, I come to the rather peculiar temperament prodigy. What makes it peculiar is that it tempers out 225/224 and 441/400, but good tunings for it shrink 243/242, 1024/1029, 384/385 and 2400/2401 to the same tiny interval, and tempering this out also leads to miracle. But don't discount prodigy, as constructing scales for it, such as this hobbit, leads automatically to a corresponding interesting miracle scale. Below I give a miracleized version, tuned to 72 equal. Now you can do miracle on your good old trusty Halberstadt keyboard!
! prodigy12.scl
Prodigy[12] 225/224&441/440 hobbit, 72et tuning
! As a miracle scale, [-8, -7, -6, -2, -1, 0, 1, 2, 5, 6, 7, 8]
12
!
116.66667
233.33333
266.66667
383.33333
500.00000
583.33333
700.00000
816.66667
933.33333
966.66667
1083.33333
1200.00000
!
!! preprodigy12.scl
! Prodigy[12] 5-limit transversal
! 12
!!
! 16/15
! 256/225
! 75/64
! 5/4
! 4/3
! 45/32
! 3/2
! 8/5
! 128/75
! 225/128
! 15/8
! 2/1
Full thread (2 messages)
From: genewardsmith (2011-01-11)
Subject: Prodigy[12]
Rolling along with these 11-limit 12 note hobbits, I come to the rather peculiar temperament prodigy. What makes it peculiar is that it tempers out 225/224 and 441/400, but good tunings for it shrink 243/242, 1024/1029, 384/385 and 2400/2401 to the same tiny interval, and tempering this out also leads to miracle. But don't discount prodigy, as constructing scales for it, such as this hobbit, leads automatically to a corresponding interesting miracle scale. Below I give a miracleized version, tuned to 72 equal. Now you can do miracle on your good old trusty Halberstadt keyboard!
! prodigy12.scl
Prodigy[12] 225/224&441/440 hobbit, 72et tuning
! As a miracle scale, [-8, -7, -6, -2, -1, 0, 1, 2, 5, 6, 7, 8]
12
!
116.66667
233.33333
266.66667
383.33333
500.00000
583.33333
700.00000
816.66667
933.33333
966.66667
1083.33333
1200.00000
!
!! preprodigy12.scl
! Prodigy[12] 5-limit transversal
! 12
!!
! 16/15
! 256/225
! 75/64
! 5/4
! 4/3
! 45/32
! 3/2
! 8/5
! 128/75
! 225/128
! 15/8
! 2/1
From: Chris Vaisvil (2011-01-11)
Subject: Re: [tuning] Prodigy[12]
thanks!
On Tue, Jan 11, 2011 at 12:12 AM, genewardsmith <genewardsmith@sbcglobal.net
> wrote:
>
>
> Rolling along with these 11-limit 12 note hobbits, I come to the rather
> peculiar temperament prodigy. What makes it peculiar is that it tempers out
> 225/224 and 441/400, but good tunings for it shrink 243/242, 1024/1029,
> 384/385 and 2400/2401 to the same tiny interval, and tempering this out also
> leads to miracle. But don't discount prodigy, as constructing scales for it,
> such as this hobbit, leads automatically to a corresponding interesting
> miracle scale. Below I give a miracleized version, tuned to 72 equal. Now
> you can do miracle on your good old trusty Halberstadt keyboard!
>
> ! prodigy12.scl
> Prodigy[12] 225/224&441/440 hobbit, 72et tuning
> ! As a miracle scale, [-8, -7, -6, -2, -1, 0, 1, 2, 5, 6, 7, 8]
> 12
> !
> 116.66667
> 233.33333
> 266.66667
> 383.33333
> 500.00000
> 583.33333
> 700.00000
> 816.66667
> 933.33333
> 966.66667
> 1083.33333
> 1200.00000
> !
> !! preprodigy12.scl
> ! Prodigy[12] 5-limit transversal
> ! 12
> !!
> ! 16/15
> ! 256/225
> ! 75/64
> ! 5/4
> ! 4/3
> ! 45/32
> ! 3/2
> ! 8/5
> ! 128/75
> ! 225/128
> ! 15/8
> ! 2/1
>
>
>
Raw file
! prodigy12.scl
Prodigy[12] 225/224&441/440 hobbit, 72et tuning
! As a miracle scale, [-8, -7, -6, -2, -1, 0, 1, 2, 5, 6, 7, 8]
12
!
116.66667
233.33333
266.66667
383.33333
500.00000
583.33333
700.00000
816.66667
933.33333
966.66667
1083.33333
1200.00000
!
!! preprodigy12.scl
! Prodigy[12] 5-limit transversal
! 12
!!
! 16/15
! 256/225
! 75/64
! 5/4
! 4/3
! 45/32
! 3/2
! 8/5
! 128/75
! 225/128
! 15/8
! 2/1
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_95516.html#95516
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_90000-106393.json
! topic_id = 95516
! msg_id = 95516