Gallery of nonoctave scales: Difference between revisions

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Line 1: Line 1:
== Just ==
== Just ==
* [[ennon13]]
* [[ennon13]]
* [[ennon15]]
* [[ennon15]]
Line 6: Line 5:
* [[ennon43]]
* [[ennon43]]
* [[freivaldthree]]
* [[freivaldthree]]
** [https://soundcloud.com/jdfreivald/three-days-apart Three Days Apart] by [[Jake Freivald]]
* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]] (nonoctave ver.)
* [[Moon dust]] (16-tone, 2.3.7.11.17.19 [[subgroup]] scale, over-7 [[primodal]], 4/1-[[equivalent]], 16/1 [[period]])
* [[User:BudjarnLambeth/Batch 89 temperaments#10/3-repeating Batch 89 pentatonic scale|10/3-repeating Batch 89 pentatonic scale]]


== Tempered ==
== Tempered ==
 
* [[Antipyth]] temperament
* [[Auk]] temperament
* [[Bohlen-Pierce scale]]/[[13edt]]
* [[BPS]] temperament
* [[Carlos Alpha]]
* [[Canopus]] temperament
* [[Deneb]] temperament
* [[Doubleton]] temperament
* [[6ed7/3#6ed7/3+7edo scale|Gutierrez 6ed7/3+7edo scale]] (16 tone nonoctave subset of [[49edo]])
* [[Halftone]] temperament
* [[Hyperion]] temperament
* [[Juggernaut]] temperament
* Most [[linear step scale]]s
* [[meantone-fifths7]]
* [[meantone-fifths7]]
* [[meantone-fifths11]]
* [[meantone-fifths11]]
Line 15: Line 28:
* [[magic-majthird7]]
* [[magic-majthird7]]
* [[magic-majthird13]]
* [[magic-majthird13]]
* [[Salmon7]]
* [[Semiwolf]] temperament
* [[Meanquad]] temperament
* Nonoctave [[zeta peak index]]es
* [[Tetrahanson]] temperament
* [[17edt]]
* [[39edt]]
* [[24ed5]]
* [[33ed5]]


== User scales (add your own scales here) ==
== User scales (add your own scales here) ==
 
=== By MisterShafXen ===
{| class="wikitable"
|+ style="Font-size: 105%;" | Random scale #1
|-
! Step
! Cents
! Nearby JI interval(s)
! Error
|-
| 1
| 73.971
| [[24/23]]
| −0.290
|-
| 2
| 200.206
| [[9/8]]
|
|-
|}
=== By Cerdded41 ===
=== By Cerdded41 ===


{| class="wikitable"
{| class="wikitable"
|-
|+ style="Font-size: 105%;" | Ni scale (5ed[[40/27]], 8.8177-TET):
|+ Ti scale (5ed[[40/27]], 8.8177-EDO):
|-
|-
! Step
! Step
Line 32: Line 72:
| 136.090
| 136.090
| [[27/25]]
| [[27/25]]
| +2.852 ¢
| +2.852¢
|-
|-
| 2
| 2
| 272.179
| 272.179
| [[7/6]]
| [[7/6]]
| +5.308 ¢
| +5.308¢
|-
|-
| 3
| 3
| 408.269
| 408.269
| [[81/64]]
| [[81/64]]
| +0.448 ¢
| +0.448¢
|-
|-
| 4
| 4
| 544.359
| 544.359
| [[11/8]]
| [[11/8]]
| -6.959 ¢
| −6.959¢
|-
|-
| '''5'''
| '''5'''
| '''680.449'''
| '''680.449'''
| '''[[40/27]]'''
| '''[[40/27]]'''
| '''±0 ¢'''
| '''±0¢'''
|-
|-
| 6
| 6
| 816.538
| 816.538
| [[8/5]]
| [[8/5]]
| +2.852 ¢
| +2.852¢
|-
|-
| 7
| 7
| 952.628
| 952.628
| [[140/81]]
| [[140/81]]
| +5.308 ¢
| +5.308¢
|-
|-
| 8
| 8
| 1088.718
| 1088.718
| [[15/8]]
| [[15/8]]
| +0.449 ¢
| +0.449¢
|-
|-
| 9
| 9
| 1224.808
| 1224.808
| [[81/40]]
| [[81/40]]
| +3.302 ¢
| +3.302¢
|-
|-
| '''10'''
| '''10'''
| '''1360.897'''
| '''1360.897'''
| '''[[11/5]]'''
| '''[[11/5]]'''
| '''-4.107 ¢'''
| '''-4.107¢'''
|}
|}


{| class="wikitable"
{| class="wikitable"
|-
|+ style="Font-size: 105%;" | Ti scale (4ed[[11/9]], 13.817-TET):
|+ Ni scale (4ed[[11/9]], 13.817-EDO):
|-
|-
! Step
! Step
Line 92: Line 131:
| 86.852
| 86.852
| [[21/20]]
| [[21/20]]
| +2.385 ¢
| +2.385¢
|-
|-
| 2
| 2
| 173.704
| 173.704
| [[11/10]]
| [[11/10]]
| +8.700 ¢
| +8.700¢
|-
|-
| 3
| 3
| 260.556
| 260.556
| [[7/6]]
| [[7/6]]
| -6.315 ¢
| −6.315¢
|-
|-
| '''4'''
| '''4'''
| '''347.408'''
| '''347.408'''
| '''[[11/9]]'''
| '''[[11/9]]'''
| '''±0 ¢'''
| '''±0¢'''
|-
|-
| 5
| 5
| 434.260
| 434.260
| [[9/7]]
| [[9/7]]
| -0.284 ¢
| −0.284¢
|-
|-
| 6
| 6
| 521.112
| 521.112
| [[27/20]]
| [[27/20]]
| +1.561 ¢
| +1.561¢
|-
|-
| 7
| 7
| 607.964
| 607.964
| [[17/12]]
| [[17/12]]
| +4.964 ¢
| +4.964¢
|-
|-
| '''8'''
| '''8'''
| '''694.816'''
| '''694.816'''
| '''[[112/75]], [[3/2]]'''
| '''[[112/75]], [[3/2]]'''
| '''+0.573 ¢, -7.139 ¢'''
| '''+0.573¢, -7.139¢'''
|-
|-
| 9
| 9
| 781.668
| 781.668
| [[11/7]]
| [[11/7]]
| -0.824 ¢
| −0.824¢
|-
|-
| 10
| 10
| 868.520
| 868.520
| [[5/3]]
| [[5/3]]
| -15.839 ¢
| −15.839¢
|-
|-
| 11
| 11
| 955.372
| 955.372
| [[26/15]]
| [[26/15]]
| +3.113 ¢
| +3.113¢
|-
|-
| '''12'''
| '''12'''
| '''1042.224'''
| '''1042.224'''
| '''[[11/6]]'''
| '''[[11/6]]'''
| '''-7.139 ¢'''
| '''-7.139¢'''
|-
|-
| 13
| 13
| 1129.076
| 1129.076
| [[48/25]]
| [[48/25]]
| -0.252 ¢
| −0.252¢
|-
|-
| 14
| 14
| 1215.928
| 1215.928
| [[99/49]] ([[99/98]] + 2/1)
| [[99/49]] ([[99/98]] + 2/1)
| -1.648 ¢
| −1.648¢
|-
|-
| 15
| 15
| 1302.780
| 1302.780
| [[17/8]] ([[17/16]] + 2/1)
| [[17/8]] ([[17/16]] + 2/1)
| -2.175 ¢
| −2.175¢
|-
|-
| '''16'''
| '''16'''
| '''1389.632'''
| '''1389.632'''
| '''[[49/22]] ([[49/44]] + 2/1)'''
| '''[[49/22]] ([[49/44]] + 2/1)'''
| '''+3.298 ¢'''
| '''+3.298¢'''
|}
 
{| class="wikitable"
|+ style="Font-size: 105%;" | Gi scale (4ed[[13/8]], 7.138354-TET):
|-
! Step
! Cents
! JI interval
(17-limit)
! Error
|-
| 1
| 168.106
| [[11/10]]
| +3.102¢
|-
| 2
| 336.211
| [[17/14]]
| +0.081¢
|-
| 3
| 504.317
| [[4/3]]
| +6.272¢
|-
| 4
| 672.422
| [[40/27]]
| −8.027¢
|-
| '''5'''
| '''840.528'''
| '''[[13/8]]'''
| '''±0¢'''
|-
| 6
| 1008.633
| [[9/5]]
| −8.963¢
|-
| 7
| 1176.739
| [[160/81]]
| −1.755¢
|-
| 8
| 1344.844
| 24/11 ([[12/11]] + 2/1)
| −5.793¢
|}
|}
{{Navbox scale gallery}}
[[Category:Lists of scales]]
[[Category:Nonoctave]]

Latest revision as of 07:51, 16 January 2026

Just

Tempered

User scales (add your own scales here)

By MisterShafXen

Random scale #1
Step Cents Nearby JI interval(s) Error
1 73.971 24/23 −0.290
2 200.206 9/8

By Cerdded41

Ni scale (5ed40/27, 8.8177-TET):
Step Cents JI interval
(11-limit) 		Error
1 136.090 27/25 +2.852¢
2 272.179 7/6 +5.308¢
3 408.269 81/64 +0.448¢
4 544.359 11/8 −6.959¢
5 680.449 40/27 ±0¢
6 816.538 8/5 +2.852¢
7 952.628 140/81 +5.308¢
8 1088.718 15/8 +0.449¢
9 1224.808 81/40 +3.302¢
10 1360.897 11/5 -4.107¢
Ti scale (4ed11/9, 13.817-TET):
Step Cents JI interval
(17-limit) 		Error
1 86.852 21/20 +2.385¢
2 173.704 11/10 +8.700¢
3 260.556 7/6 −6.315¢
4 347.408 11/9 ±0¢
5 434.260 9/7 −0.284¢
6 521.112 27/20 +1.561¢
7 607.964 17/12 +4.964¢
8 694.816 112/75, 3/2 +0.573¢, -7.139¢
9 781.668 11/7 −0.824¢
10 868.520 5/3 −15.839¢
11 955.372 26/15 +3.113¢
12 1042.224 11/6 -7.139¢
13 1129.076 48/25 −0.252¢
14 1215.928 99/49 (99/98 + 2/1) −1.648¢
15 1302.780 17/8 (17/16 + 2/1) −2.175¢
16 1389.632 49/22 (49/44 + 2/1) +3.298¢
Gi scale (4ed13/8, 7.138354-TET):
Step Cents JI interval

(17-limit)

Error
1 168.106 11/10 +3.102¢
2 336.211 17/14 +0.081¢
3 504.317 4/3 +6.272¢
4 672.422 40/27 −8.027¢
5 840.528 13/8 ±0¢
6 1008.633 9/5 −8.963¢
7 1176.739 160/81 −1.755¢
8 1344.844 24/11 (12/11 + 2/1) −5.793¢


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
Scales in EDOs in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales
Retrieved from "https://en.xen.wiki/index.php?title=Gallery_of_nonoctave_scales&oldid=221682"