Strictly proper 19edo scales: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
Wikispaces>FREEZE
No edit summary
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
m →See also: {{Navbox scale gallery}}
 
(6 intermediate revisions by 4 users not shown)
Line 1: Line 1:
Bellow are listed all strictly proper scales ranging from 6 to 10 notes in [[19edo|19edo]]. Each scale is represented by its flattest mode.
Below are listed all [[strictly proper]] scales ranging from 6 to 10 notes in [[19edo]], with the [[step pattern]] expressed in steps of 19edo.


==6 notes==
Each scale is presented in the "flattest" [[mode]], featuring the smallest possible second (1-step), then the smallest possible third (2-step) if there were multiple possible starting points for the smallest possible second, and so on. Note that some in some scales, the "flattest" mode thus obtained does not have the smallest possible interval for every [[interval class]].


== 6 notes ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1 4 3 4 3 4
! Step visualization
| |
! Step pattern
! Name
|-
|-
| | 1 4 4 2 4 4
| {{Step vis|1 4 3 4 3 4}}
| |  
| 1 4 3 4 3 4
|  
|-
|-
| | 1 5 2 4 2 5
| {{Step vis|1 4 4 2 4 4}}
| |  
| 1 4 4 2 4 4
|  
|-
|-
| | 2 3 3 4 3 4
| {{Step vis|1 5 2 4 2 5}}
| |  
| 1 5 2 4 2 5
|  
|-
|-
| | 2 3 4 2 4 4
| {{Step vis|2 3 3 4 3 4}}
| |  
| 2 3 3 4 3 4
|  
|-
|-
| | 2 3 4 3 3 4
| {{Step vis|2 3 4 2 4 4}}
| |  
| 2 3 4 2 4 4
|  
|-
|-
| | 2 3 4 3 4 3
| {{Step vis|2 3 4 3 3 4}}
| |  
| 2 3 4 3 3 4
|  
|-
|-
| | 2 4 2 4 2 5
| {{Step vis|2 3 4 3 4 3}}
| |  
| 2 3 4 3 4 3
|  
|-
|-
| | 2 4 2 4 3 4
| {{Step vis|2 4 2 4 2 5}}
| |  
| 2 4 2 4 2 5
|  
|-
|-
| | 2 4 3 2 4 4
| {{Step vis|2 4 2 4 3 4}}
| |  
| 2 4 2 4 3 4
|  
|-
|-
| | 2 4 3 3 3 4
| {{Step vis|2 4 3 2 4 4}}
| |  
| 2 4 3 2 4 4
|  
|-
|-
| | 2 4 3 3 4 3
| {{Step vis|2 4 3 3 3 4}}
| |  
| 2 4 3 3 3 4
|  
|-
|-
| | 2 4 3 4 3 3
| {{Step vis|2 4 3 3 4 3}}
| |  
| 2 4 3 3 4 3
|  
|-
|-
| | 3 3 3 3 3 4
| {{Step vis|2 4 3 4 3 3}}
| | Deutone[6]
| 2 4 3 4 3 3
|
|-
| {{Step vis|3 3 3 3 3 4}}
| 3 3 3 3 3 4
| Deutone[6]
|}
|}


==7 notes==
== 7 notes ==
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1 3 3 3 3 3 3
! Step visualization
| | Deutone[7]
! Step pattern
! Name
|-
| {{Step vis|1 3 3 3 3 3 3}}
| 1 3 3 3 3 3 3
| [[Deutone]][7]
|-
|-
| | 1 4 2 3 3 2 4
| {{Step vis|1 4 2 3 3 2 4}}
| |  
| 1 4 2 3 3 2 4
|  
|-
|-
| | 2 2 3 3 3 3 3
| {{Step vis|2 2 3 3 3 3 3}}
| | Major Locrian
| 2 2 3 3 3 3 3
| Major Locrian
|-
|-
| | 2 3 2 3 3 2 4
| {{Step vis|2 3 2 3 3 2 4}}
| | Harmonic Minor
| 2 3 2 3 3 2 4
| Harmonic minor
|-
|-
| | 2 3 2 3 3 3 3
| {{Step vis|2 3 2 3 3 3 3}}
| | Melodic Minor
| 2 3 2 3 3 3 3
| Melodic minor
|-
|-
| | 2 3 2 4 2 3 3
| {{Step vis|2 3 2 4 2 3 3}}
| | Harmonic Major
| 2 3 2 4 2 3 3
| Harmonic major
|-
|-
| | 2 3 3 2 3 3 3
| {{Step vis|2 3 3 2 3 3 3}}
| | [[meantone7|Meantone[7]]]
| 2 3 3 2 3 3 3
| [[meantone7|Meantone[7]]]
|}
|}


==8 notes==
== 8 notes ==
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1 3 2 3 2 3 2 3
! Step visualization
| |
! Step pattern
! Name
|-
|-
| | 2 2 2 3 2 3 2 3
| {{Step vis|1 3 2 3 2 3 2 3}}
| |  
| 1 3 2 3 2 3 2 3
|  
|-
|-
| | 2 2 3 2 2 3 2 3
| {{Step vis|2 2 2 3 2 3 2 3}}
| | Sensi[8]
| 2 2 2 3 2 3 2 3
|
|-
| {{Step vis|2 2 3 2 2 3 2 3}}
| 2 2 3 2 2 3 2 3
| [[Sensi]][8]
|}
|}


==9 notes==
== 9 notes ==
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1 3 2 2 2 2 2 2 3
! Step visualization
| |
! Step pattern
! Name
|-
|-
| | 2 2 2 2 2 2 2 2 3
| {{Step vis|1 3 2 2 2 2 2 2 3}}
| | Negri[9]
| 1 3 2 2 2 2 2 2 3
|  
|-
| {{Step vis|2 2 2 2 2 2 2 2 3}}
| 2 2 2 2 2 2 2 2 3
| [[Negri]][9]
|}
|}


==10 notes==
== 10 notes ==
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1 2 2 2 2 2 2 2 2 2
! Step visualization
| | Negri[10]
! Step pattern
! Name
|-
| {{Step vis|1 2 2 2 2 2 2 2 2 2}}
| 1 2 2 2 2 2 2 2 2 2
| [[Negri]][10]
|}
|}
== See also ==
* [[19edo modes]]
* [[Strictly proper 7-tone 31edo scales]]
{{Navbox scale gallery}}
[[Category:19edo]]
[[Category:Lists of scales]]

Latest revision as of 03:08, 28 September 2025

Below are listed all strictly proper scales ranging from 6 to 10 notes in 19edo, with the step pattern expressed in steps of 19edo.

Each scale is presented in the "flattest" mode, featuring the smallest possible second (1-step), then the smallest possible third (2-step) if there were multiple possible starting points for the smallest possible second, and so on. Note that some in some scales, the "flattest" mode thus obtained does not have the smallest possible interval for every interval class.

6 notes

Step visualization Step pattern Name
├┼───┼──┼───┼──┼───┤ 1 4 3 4 3 4
├┼───┼───┼─┼───┼───┤ 1 4 4 2 4 4
├┼────┼─┼───┼─┼────┤ 1 5 2 4 2 5
├─┼──┼──┼───┼──┼───┤ 2 3 3 4 3 4
├─┼──┼───┼─┼───┼───┤ 2 3 4 2 4 4
├─┼──┼───┼──┼──┼───┤ 2 3 4 3 3 4
├─┼──┼───┼──┼───┼──┤ 2 3 4 3 4 3
├─┼───┼─┼───┼─┼────┤ 2 4 2 4 2 5
├─┼───┼─┼───┼──┼───┤ 2 4 2 4 3 4
├─┼───┼──┼─┼───┼───┤ 2 4 3 2 4 4
├─┼───┼──┼──┼──┼───┤ 2 4 3 3 3 4
├─┼───┼──┼──┼───┼──┤ 2 4 3 3 4 3
├─┼───┼──┼───┼──┼──┤ 2 4 3 4 3 3
├──┼──┼──┼──┼──┼───┤ 3 3 3 3 3 4 Deutone[6]

7 notes

Step visualization Step pattern Name
├┼──┼──┼──┼──┼──┼──┤ 1 3 3 3 3 3 3 Deutone[7]
├┼───┼─┼──┼──┼─┼───┤ 1 4 2 3 3 2 4
├─┼─┼──┼──┼──┼──┼──┤ 2 2 3 3 3 3 3 Major Locrian
├─┼──┼─┼──┼──┼─┼───┤ 2 3 2 3 3 2 4 Harmonic minor
├─┼──┼─┼──┼──┼──┼──┤ 2 3 2 3 3 3 3 Melodic minor
├─┼──┼─┼───┼─┼──┼──┤ 2 3 2 4 2 3 3 Harmonic major
├─┼──┼──┼─┼──┼──┼──┤ 2 3 3 2 3 3 3 Meantone[7]

8 notes

Step visualization Step pattern Name
├┼──┼─┼──┼─┼──┼─┼──┤ 1 3 2 3 2 3 2 3
├─┼─┼─┼──┼─┼──┼─┼──┤ 2 2 2 3 2 3 2 3
├─┼─┼──┼─┼─┼──┼─┼──┤ 2 2 3 2 2 3 2 3 Sensi[8]

9 notes

Step visualization Step pattern Name
├┼──┼─┼─┼─┼─┼─┼─┼──┤ 1 3 2 2 2 2 2 2 3
├─┼─┼─┼─┼─┼─┼─┼─┼──┤ 2 2 2 2 2 2 2 2 3 Negri[9]

10 notes

Step visualization Step pattern Name
├┼─┼─┼─┼─┼─┼─┼─┼─┼─┤ 1 2 2 2 2 2 2 2 2 2 Negri[10]

See also


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=Strictly_proper_19edo_scales&oldid=211328"