Strictly proper 19edo scales: Difference between revisions

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m Use "step pattern" in the description
Add step visualization and internal links to temperament pages
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== 6 notes ==
== 6 notes ==
{| class="wikitable"
{| class="wikitable"
|-
|-
! Step visualization
! Step pattern
! Name
|-
| {{Step vis|1 4 3 4 3 4}}
| 1 4 3 4 3 4
| 1 4 3 4 3 4
|  
|  
|-
|-
| {{Step vis|1 4 4 2 4 4}}
| 1 4 4 2 4 4
| 1 4 4 2 4 4
|  
|  
|-
|-
| {{Step vis|1 5 2 4 2 5}}
| 1 5 2 4 2 5
| 1 5 2 4 2 5
|  
|  
|-
|-
| {{Step vis|2 3 3 4 3 4}}
| 2 3 3 4 3 4
| 2 3 3 4 3 4
|  
|  
|-
|-
| {{Step vis|2 3 4 2 4 4}}
| 2 3 4 2 4 4
| 2 3 4 2 4 4
|  
|  
|-
|-
| {{Step vis|2 3 4 3 3 4}}
| 2 3 4 3 3 4
| 2 3 4 3 3 4
|  
|  
|-
|-
| {{Step vis|2 3 4 3 4 3}}
| 2 3 4 3 4 3
| 2 3 4 3 4 3
|  
|  
|-
|-
| {{Step vis|2 4 2 4 2 5}}
| 2 4 2 4 2 5
| 2 4 2 4 2 5
|  
|  
|-
|-
| {{Step vis|2 4 2 4 3 4}}
| 2 4 2 4 3 4
| 2 4 2 4 3 4
|  
|  
|-
|-
| {{Step vis|2 4 3 2 4 4}}
| 2 4 3 2 4 4
| 2 4 3 2 4 4
|  
|  
|-
|-
| {{Step vis|2 4 3 3 3 4}}
| 2 4 3 3 3 4
| 2 4 3 3 3 4
|  
|  
|-
|-
| {{Step vis|2 4 3 3 4 3}}
| 2 4 3 3 4 3
| 2 4 3 3 4 3
|  
|  
|-
|-
| {{Step vis|2 4 3 4 3 3}}
| 2 4 3 4 3 3
| 2 4 3 4 3 3
|  
|  
|-
|-
| {{Step vis|3 3 3 3 3 4}}
| 3 3 3 3 3 4
| 3 3 3 3 3 4
| Deutone[6]
| Deutone[6]
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== 7 notes ==
== 7 notes ==
{| class="wikitable"
{| class="wikitable"
|-
|-
! Step visualization
! Step pattern
! Name
|-
| {{Step vis|1 3 3 3 3 3 3}}
| 1 3 3 3 3 3 3
| 1 3 3 3 3 3 3
| Deutone[7]
| [[Deutone]][7]
|-
|-
| {{Step vis|1 4 2 3 3 2 4}}
| 1 4 2 3 3 2 4
| 1 4 2 3 3 2 4
|  
|  
|-
|-
| {{Step vis|2 2 3 3 3 3 3}}
| 2 2 3 3 3 3 3
| 2 2 3 3 3 3 3
| Major Locrian
| Major Locrian
|-
|-
| {{Step vis|2 3 2 3 3 2 4}}
| 2 3 2 3 3 2 4
| 2 3 2 3 3 2 4
| Harmonic Minor
| Harmonic minor
|-
|-
| {{Step vis|2 3 2 3 3 3 3}}
| 2 3 2 3 3 3 3
| 2 3 2 3 3 3 3
| Melodic Minor
| Melodic minor
|-
|-
| {{Step vis|2 3 2 4 2 3 3}}
| 2 3 2 4 2 3 3
| 2 3 2 4 2 3 3
| Harmonic Major
| Harmonic major
|-
|-
| {{Step vis|2 3 3 2 3 3 3}}
| 2 3 3 2 3 3 3
| 2 3 3 2 3 3 3
| [[meantone7|Meantone[7]]]
| [[meantone7|Meantone[7]]]
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== 8 notes ==
== 8 notes ==
{| class="wikitable"
{| class="wikitable"
|-
|-
! Step visualization
! Step pattern
! Name
|-
| {{Step vis|1 3 2 3 2 3 2 3}}
| 1 3 2 3 2 3 2 3
| 1 3 2 3 2 3 2 3
|  
|  
|-
|-
| {{Step vis|2 2 2 3 2 3 2 3}}
| 2 2 2 3 2 3 2 3
| 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
| 2 2 3 2 2 3 2 3
| Sensi[8]
| [[Sensi]][8]
|}
|}


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


== 10 notes ==
== 10 notes ==
{| class="wikitable"
{| class="wikitable"
|-
|-
! Step visualization
! 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
| 1 2 2 2 2 2 2 2 2 2
| Negri[10]
| [[Negri]][10]
|}
|}


[[Category:19edo]]
[[Category:19edo]]
[[Category:Lists of scales]]
[[Category:Lists of scales]]

Revision as of 05:59, 11 December 2023

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]
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