mothra11rat
Mothra[11] with exact 8/7 as generator
Properties
| Notes | 11 |
|---|
| Period | 1200.0 ¢ |
|---|
| Just | 7-limit |
|---|
| Source |
Mailing lists
|
|---|
| Reference | https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_88985.html#88997 |
|---|
| Thread | 4 scales |
|---|
| Tone |
Tone (¢) |
Step |
Step (¢) |
| 16807/16384 |
44 |
16807/16384 |
44 |
| 8/7 |
231 |
131072/117649 |
187 |
| 2401/2048 |
275 |
16807/16384 |
44 |
| 64/49 |
462 |
131072/117649 |
187 |
| 343/256 |
506 |
16807/16384 |
44 |
| 512/343 |
694 |
131072/117649 |
187 |
| 49/32 |
738 |
16807/16384 |
44 |
| 4096/2401 |
925 |
131072/117649 |
187 |
| 7/4 |
969 |
16807/16384 |
44 |
| 32768/16807 |
1156 |
131072/117649 |
187 |
| 2 |
1200 |
16807/16384 |
44 |
Similar scales
Parent scales
Child scales
Mailing list post
From: genewardsmith (2010-05-09)
Subject: Re: Some Mothra scales
--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>
> ! mothra11br4.scl
> Mothra[11] with a brat of 4
> 11
It occurs to me that triads are complex in Mothra and Mothra[11] doesn't have any major triads. As a rule, you shouldn't have a polynomial of degree greater than the number of notes in your rank two scale if the genrators are all contiguous. Below I give degree one and degree seven versions of Mothra[11].
! mothra11rat.scl
Mothra[11] with exact 8/7 as generator
11
!
16807/16384
8/7
2401/2048
64/49
343/256
512/343
49/32
4096/2401
7/4
32768/16807
2
! mothra11sub.scl
Mothra[11] with subminor third beats
11
!
39.857902275036850177
232.02841954499262996
271.88632182002948016
464.05683908998525998
503.91474136502211010
696.08525863497788988
735.94316091001474006
928.11367817997051984
967.97158045500737002
1160.1420977249631499
1200.0000000000000000
! 4x^7 - 13x^4 + 12
Full thread (2 messages)
From: genewardsmith (2010-05-09)
Subject: Some Mothra scales
! mothra11br4.scl
Mothra[11] with a brat of 4
11
!
194.55680981190403133
232.42613496865067188
426.98294478055470324
464.85226993730134382
659.40907974920537509
697.27840490595201564
891.83521471785604685
929.70453987460268758
1124.2613496865067188
1162.1306748432533594
1200.0000000000000000
! x^12 + 2x^3 - 8
! mothra16br4.scl
Mothra[16] with a brat of 4
16
!
156.68748465515739066
194.55680981190403133
232.42613496865067188
389.11361962380806258
426.98294478055470324
464.85226993730134382
621.53975459245873435
659.40907974920537509
697.27840490595201564
853.96588956110940631
891.83521471785604685
929.70453987460268758
1086.3920245297600782
1124.2613496865067188
1162.1306748432533594
1200.0000000000000000
! x^12 + 2x^3 - 8
From: genewardsmith (2010-05-09)
Subject: Re: Some Mothra scales
--- In tuning@yahoogroups.com, "genewardsmith" <genewardsmith@...> wrote:
>
> ! mothra11br4.scl
> Mothra[11] with a brat of 4
> 11
It occurs to me that triads are complex in Mothra and Mothra[11] doesn't have any major triads. As a rule, you shouldn't have a polynomial of degree greater than the number of notes in your rank two scale if the genrators are all contiguous. Below I give degree one and degree seven versions of Mothra[11].
! mothra11rat.scl
Mothra[11] with exact 8/7 as generator
11
!
16807/16384
8/7
2401/2048
64/49
343/256
512/343
49/32
4096/2401
7/4
32768/16807
2
! mothra11sub.scl
Mothra[11] with subminor third beats
11
!
39.857902275036850177
232.02841954499262996
271.88632182002948016
464.05683908998525998
503.91474136502211010
696.08525863497788988
735.94316091001474006
928.11367817997051984
967.97158045500737002
1160.1420977249631499
1200.0000000000000000
! 4x^7 - 13x^4 + 12
Raw file
! mothra11rat.scl
Mothra[11] with exact 8/7 as generator
11
!
16807/16384
8/7
2401/2048
64/49
343/256
512/343
49/32
4096/2401
7/4
32768/16807
2
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_88985.html#88997
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_88077-89999.json
! topic_id = 88985
! msg_id = 88997