Strictly proper 19edo scales

Revision as of 05:38, 11 December 2023 by Fredg999 (talk | contribs) (Use "step pattern" in the description)

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

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]