mothra16br4

Mothra[16] with a brat of 4

Properties

Notes16
Period1200.0 ¢
JustNo
Source Mailing lists
Referencehttps://yahootuninggroupsultimatebackup.github.io/tuning/topicId_88985.html#88985
Thread4 scales
Tone (¢) Step (¢)
157 157
195 38
232 38
389 157
427 38
465 38
622 157
659 38
697 38
854 157
892 38
930 38
1086 157
1124 38
1162 38
1200 38

Similar scales

FileNotesRotationMax diff (¢)
xen18-erlich-cynder-16 16 11 2.4

Parent scales

FileNotesMax diff (¢)
31edo-top 31 1.7
xen18-erlich-cynder-31 31 2.4
edo-31 31 2.5
circle31 31 3.5
cbrat31 31 4.0
xen18-erlich-meantone-31 31 4.3
vala 31 5.9
xen18-erlich-luna-31 31 5.9
irregular 46 2.5
xen18-erlich-miracle-31 31 8.9

Child scales

FileNotesMax diff (¢)
mothra11br4 11 0.0
keen4 5 4.6
dwarf6_7 6 4.7
China_Sien_tsu 5 5.6
Benin_Trombone_02 5 5.8
slendro_pc 5 6.3
xen10-wilson-purvi-03b-01 7 8.1
Cambodia_Pentatonic_02 5 9.1
xen10-wilson-purvi-03a-01 7 9.4
xen12-wilson-39-4C2-hexany-01 6 9.4
Mailing list post
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
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 [email protected], "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

! 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
!
! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_88985.html#88985
!
! [info]
! source = Mailing lists
! file = tuning/messages/yahoo_tuning_messages_api_raw_88077-89999.json
! topic_id = 88985
! msg_id = 88985