sonic15

A distributionally even scale in sonic temperament, abababababababc

Open in Scale Workshop Scala analysis Download scl

Properties

Notes	15
Period	1200.32 ¢
Just	No
Source	Mailing lists
Reference	https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19356.html#19356
Thread	20 scales

Tone (¢)	Step (¢)
96	96
164	68
216	51
312	96
380	68
476	96
544	68
640	96
708	68
804	96
872	68
968	96
1036	68
1132	96
1200	68

Similar scales

File	Notes	Rotation	Max diff (¢)
xen18-erlich-porcupine-15	15	13	13.0
porcufip15	15	12	13.1
porcupine15fip	15	2	13.6
deporcy	15	13	15.0
pork15	15	12	15.6
porcupine15	15	13	15.7
porcuopt	15	2	17.4
Porcupine15Lesfip	15	5	17.4
valenporc15	15	1	18.5
valentine15	15	1	19.2

Parent scales

File	Notes	Max diff (¢)
xen18-erlich-porcupine-22	22	13.0
xen18-erlich-doublewide-22	22	15.3
pajcirc	22	15.5
xen18-erlich-hedgehog-22	22	15.6
edo-22	22	15.7
22	22	15.7
xen18-erlich-superpyth-22	22	16.4
edo-51	51	5.7
xen02-wilson-combination-sets	32	12.8
xen17-erlich-unequal-22	22	18.5

Child scales

File	Notes	Max diff (¢)
sonic13	13	0.0
keen3	5	6.6
xen09-chalmers-tritriadic-11-15-20	7	7.8
porcupine	7	7.9
zeus7b	7	8.2
xen09-chalmers-tritriadic-11-16-20	7	9.7
Indonesia_Sadadpengasih	5	10.4
elevenlim	6	11.7
xen12-wilson-25-6C1-hexany	6	11.7
hirajoshi2	5	11.7

Mailing list post

From: Keenan Pepper (2011-07-26)
Subject: Examples of good (and small) rank-3 3DE scales

Here are some small examples I cooked up of N=3 distributionally even scales in temperaments that work well for it. The reason I don't have any scales in marvel, or breed, or other familiar rank-3 temperaments is because I believe it's impossible to have an arbitrarily large 3DE scale in them that contains complete otonal/utonal chords. 3DE is too strong of a constraint for them. But certain temperaments work anyway.

Sonic15 should be particularly interesting for you porcupine lovers. It's porcupine but with abundant and accurate intervals of 7, added in a coherent way. (Plus it has a really cute name.)

Index:
archytas7
archytas8
archytas12
didymus9
jubilee10sym1, -sym2, -asym1, -asym2, -asym3, -asym4
jubilee12sym
orwellian9
orwellian13
sonic13
sonic15
starling7
starling11
supermagic7
supermagic10
supermagic11

! archytas7.scl
!
A distributionally even scale in archytas (64/63 planar) temperament, abacabc
 7
!
 174.29000
 392.38000
 489.44000
 707.53000
 881.82000
 978.88000
 1196.97000

! archytas8.scl
!
A distributionally even scale in archytas (64/63 planar) temperament, abacbabc
 8
!
 121.03000
 392.38000
 489.44000
 610.47000
 707.53000
 978.88000
 1099.91000
 1196.97000

! archytas12.scl
!
A distributionally even scale in archytas (64/63 planar) temperament, ababacbababc
 12
!
 121.03000
 218.09000
 271.35000
 392.38000
 489.44000
 610.47000
 707.53000
 828.56000
 881.82000
 978.88000
 1099.91000
 1196.97000

! didymus9.scl
!
A distributionally even scale in didymus (81/80 planar) temperament, aabacabac
 9
!
 192.70000
 385.40000
 461.68000
 654.38000
 697.04000
 889.74000
 966.02000
 1158.72000
 1201.38000

! jubilee10sym1.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabacaabac
 10
!
 102.92000
 205.84000
 380.63000
 483.55000
 599.67000
 702.59000
 805.51000
 980.30000
 1083.22000
 1199.34000

! jubilee10sym2.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabacaabac
 10
!
 102.92000
 205.84000
 277.70000
 380.62000
 599.66000
 702.58000
 805.50000
 877.36000
 980.28000
 1199.32000

! jubilee10asym1.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 380.63000
 483.55000
 586.47000
 702.59000
 805.51000
 980.30000
 1083.22000
 1199.34000

! jubilee10asym2.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 380.63000
 483.55000
 599.67000
 702.59000
 877.38000
 980.30000
 1083.22000
 1199.34000

! jubilee10asym3.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 277.70000
 380.62000
 483.54000
 702.58000
 805.50000
 877.36000
 980.28000
 1199.32000

! jubilee10asym4.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 277.70000
 380.62000
 599.66000
 702.58000
 774.44000
 877.36000
 980.28000
 1199.32000

! jubilee12sym.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacaabaac
 12
!
 102.92000
 205.84000
 277.70000
 380.62000
 483.54000
 599.66000
 702.58000
 805.50000
 877.36000
 980.28000
 1083.20000
 1199.32000

! orwellian9.scl
!
A distributionally even scale in orwellian temperament, ababababc
 9
!
 43.33000
 270.47000
 387.99000
 431.32000
 658.46000
 701.79000
 928.93000
 972.26000
 1199.40000

! orwellian13.scl
!
A distributionally even scale in orwellian temperament, abacbacabcabc
 13
!
 43.33000
 160.85000
 270.47000
 387.99000
 431.32000
 540.94000
 658.46000
 701.79000
 819.31000
 928.93000
 972.26000
 1089.78000
 1199.40000

! sonic13.scl
!
A distributionally even scale in sonic temperament, ababababababc
 13
!
 96.02000
 311.62000
 379.72000
 475.74000
 543.84000
 639.86000
 707.96000
 803.98000
 872.08000
 968.10000
 1036.20000
 1132.22000
 1200.32000

! sonic15.scl
!
A distributionally even scale in sonic temperament, abababababababc
 15
!
 96.02000
 164.12000
 215.60000
 311.62000
 379.72000
 475.74000
 543.84000
 639.86000
 707.96000
 803.98000
 872.08000
 968.10000
 1036.20000
 1132.22000
 1200.32000

! starling7.scl
!
A distributionally even scale in starling temperament, abababc
 7
!
 78.93000
 311.10000
 390.03000
 622.20000
 701.13000
 967.62000
 1199.79000

! starling11.scl
!
A distributionally even scale in starling temperament, abacbabcabc
 11
!
 78.93000
 266.49000
 311.10000
 390.03000
 577.59000
 656.52000
 701.13000
 888.69000
 967.62000
 1155.18000
 1199.79000

! supermagic7.scl
!
A distributionally even scale in supermagic temperament, abababc
 7
!
 59.11000
 321.68000
 380.79000
 643.36000
 702.47000
 965.04000
 1201.03000

! supermagic10.scl
!
A distributionally even scale in supermagic temperament, abacbacabc
 10
!
 59.11000
 85.69000
 321.68000
 380.79000
 616.78000
 643.36000
 702.47000
 938.46000
 965.04000
 1201.03000

! supermagic11.scl
!
A distributionally even scale in supermagic temperament, abacbabcabc
 11
!
 85.70000
 144.81000
 321.69000
 380.80000
 466.50000
 643.38000
 702.49000
 788.19000
 965.07000
 1024.18000
 1201.06000


Enjoy!

Keenan

Full thread (1 messages)

From: Keenan Pepper (2011-07-26)
Subject: Examples of good (and small) rank-3 3DE scales

Here are some small examples I cooked up of N=3 distributionally even scales in temperaments that work well for it. The reason I don't have any scales in marvel, or breed, or other familiar rank-3 temperaments is because I believe it's impossible to have an arbitrarily large 3DE scale in them that contains complete otonal/utonal chords. 3DE is too strong of a constraint for them. But certain temperaments work anyway.

Sonic15 should be particularly interesting for you porcupine lovers. It's porcupine but with abundant and accurate intervals of 7, added in a coherent way. (Plus it has a really cute name.)

Index:
archytas7
archytas8
archytas12
didymus9
jubilee10sym1, -sym2, -asym1, -asym2, -asym3, -asym4
jubilee12sym
orwellian9
orwellian13
sonic13
sonic15
starling7
starling11
supermagic7
supermagic10
supermagic11

! archytas7.scl
!
A distributionally even scale in archytas (64/63 planar) temperament, abacabc
 7
!
 174.29000
 392.38000
 489.44000
 707.53000
 881.82000
 978.88000
 1196.97000

! archytas8.scl
!
A distributionally even scale in archytas (64/63 planar) temperament, abacbabc
 8
!
 121.03000
 392.38000
 489.44000
 610.47000
 707.53000
 978.88000
 1099.91000
 1196.97000

! archytas12.scl
!
A distributionally even scale in archytas (64/63 planar) temperament, ababacbababc
 12
!
 121.03000
 218.09000
 271.35000
 392.38000
 489.44000
 610.47000
 707.53000
 828.56000
 881.82000
 978.88000
 1099.91000
 1196.97000

! didymus9.scl
!
A distributionally even scale in didymus (81/80 planar) temperament, aabacabac
 9
!
 192.70000
 385.40000
 461.68000
 654.38000
 697.04000
 889.74000
 966.02000
 1158.72000
 1201.38000

! jubilee10sym1.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabacaabac
 10
!
 102.92000
 205.84000
 380.63000
 483.55000
 599.67000
 702.59000
 805.51000
 980.30000
 1083.22000
 1199.34000

! jubilee10sym2.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabacaabac
 10
!
 102.92000
 205.84000
 277.70000
 380.62000
 599.66000
 702.58000
 805.50000
 877.36000
 980.28000
 1199.32000

! jubilee10asym1.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 380.63000
 483.55000
 586.47000
 702.59000
 805.51000
 980.30000
 1083.22000
 1199.34000

! jubilee10asym2.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 380.63000
 483.55000
 599.67000
 702.59000
 877.38000
 980.30000
 1083.22000
 1199.34000

! jubilee10asym3.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 277.70000
 380.62000
 483.54000
 702.58000
 805.50000
 877.36000
 980.28000
 1199.32000

! jubilee10asym4.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacabac
 10
!
 102.92000
 205.84000
 277.70000
 380.62000
 599.66000
 702.58000
 774.44000
 877.36000
 980.28000
 1199.32000

! jubilee12sym.scl
!
A distributionally even scale in jubilee (50/49 planar) temperament, aabaacaabaac
 12
!
 102.92000
 205.84000
 277.70000
 380.62000
 483.54000
 599.66000
 702.58000
 805.50000
 877.36000
 980.28000
 1083.20000
 1199.32000

! orwellian9.scl
!
A distributionally even scale in orwellian temperament, ababababc
 9
!
 43.33000
 270.47000
 387.99000
 431.32000
 658.46000
 701.79000
 928.93000
 972.26000
 1199.40000

! orwellian13.scl
!
A distributionally even scale in orwellian temperament, abacbacabcabc
 13
!
 43.33000
 160.85000
 270.47000
 387.99000
 431.32000
 540.94000
 658.46000
 701.79000
 819.31000
 928.93000
 972.26000
 1089.78000
 1199.40000

! sonic13.scl
!
A distributionally even scale in sonic temperament, ababababababc
 13
!
 96.02000
 311.62000
 379.72000
 475.74000
 543.84000
 639.86000
 707.96000
 803.98000
 872.08000
 968.10000
 1036.20000
 1132.22000
 1200.32000

! sonic15.scl
!
A distributionally even scale in sonic temperament, abababababababc
 15
!
 96.02000
 164.12000
 215.60000
 311.62000
 379.72000
 475.74000
 543.84000
 639.86000
 707.96000
 803.98000
 872.08000
 968.10000
 1036.20000
 1132.22000
 1200.32000

! starling7.scl
!
A distributionally even scale in starling temperament, abababc
 7
!
 78.93000
 311.10000
 390.03000
 622.20000
 701.13000
 967.62000
 1199.79000

! starling11.scl
!
A distributionally even scale in starling temperament, abacbabcabc
 11
!
 78.93000
 266.49000
 311.10000
 390.03000
 577.59000
 656.52000
 701.13000
 888.69000
 967.62000
 1155.18000
 1199.79000

! supermagic7.scl
!
A distributionally even scale in supermagic temperament, abababc
 7
!
 59.11000
 321.68000
 380.79000
 643.36000
 702.47000
 965.04000
 1201.03000

! supermagic10.scl
!
A distributionally even scale in supermagic temperament, abacbacabc
 10
!
 59.11000
 85.69000
 321.68000
 380.79000
 616.78000
 643.36000
 702.47000
 938.46000
 965.04000
 1201.03000

! supermagic11.scl
!
A distributionally even scale in supermagic temperament, abacbabcabc
 11
!
 85.70000
 144.81000
 321.69000
 380.80000
 466.50000
 643.38000
 702.49000
 788.19000
 965.07000
 1024.18000
 1201.06000


Enjoy!

Keenan

Raw file

! sonic15.scl
!
A distributionally even scale in sonic temperament, abababababababc
 15
!
 96.02000
 164.12000
 215.60000
 311.62000
 379.72000
 475.74000
 543.84000
 639.86000
 707.96000
 803.98000
 872.08000
 968.10000
 1036.20000
 1132.22000
 1200.32000
!
! https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_19356.html#19356
!
! [info]
! source = Mailing lists
! file = tuning-math/messages/yahoo_tuning-math_messages_api_raw_18428-20927.json
! topic_id = 19356
! msg_id = 19356