Strictly proper 19edo scales: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Fredg999 category edits (talk | contribs)
Clarified the meaning of the numbers in the tables and how the "flattest" mode is defined
Line 1: Line 1:
Bellow are listed all [[strictly proper]] scales ranging from 6 to 10 notes in [[19edo]]. Each scale is represented by its flattest mode.
Below are listed all [[strictly proper]] scales ranging from 6 to 10 notes in [[19edo]], where the size of each scale step is 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 ==
== 6 notes ==

Revision as of 04:28, 11 December 2023

Below are listed all strictly proper scales ranging from 6 to 10 notes in 19edo, where the size of each scale step is 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

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

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

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

1 3 2 2 2 2 2 2 3
2 2 2 2 2 2 2 2 3 Negri[9]

10 notes

1 2 2 2 2 2 2 2 2 2 Negri[10]