Maximum variety: Difference between revisions

|+

!

!2L 3s

!3L 2s

!4L 1s

|-

!1L 4s

|4 2 3 2 2

|-

!2L 3s

!2L 3s

|4 3 3 3 2

|-

!3L 2s

!3L 2s

|4 4 3 4 2

3L 1m 1s

|}

{| class="wikitable"

|+

!

!2L 5s

!3L 4s

!6L 1s

|-

!1L 6s

|4 2 2 3 2 2 2

|-

!2L 5s

!2L 5s

|4 2 3 3 3 2 2

|-

!3L 4s

!3L 4s

|4 3 2 3 2 3 2

|-

!4L 3s

!4L 3s

|4 4 2 4 3 4 2

|-

!5L 2s

!5L 2s

|4 4 3 4 4 4 2

5L 1m 1s

|}

However, if a scale derived this way has any other number of notes, its three step sizes will not always produce max variety 3.

{| class="wikitable"

!

!2L 4s

!3L 3s

!5L 1s

|-

!1L 5s

|4 2 2 3 2 2

|-

!2L 4s

!2L 4s

|4 2 3 3 3 2

|-

!3L 3s

!3L 3s

|4 3 3 4 3 2

|-

!4L 2s

!4L 2s

|4 4 3 4 4 2

4L 1m 1s

|}

Since Indonesian gamelan music stems from a tradition with 9-note scales converging from [http://www.neuroscience-of-music.se/Gamelan%20pelog%20A.htm max variety ''7''] to equal, sums of 9-note MOS make for great compromise gamelan tunings when they fail to produce max variety 3.

{| class="wikitable"

!

!2L 7s

!3L 6s

!8L 1s

|-

!1L 8s

|4 2 2 2 3 2 2 2 2

|-

!2L 7s

!2L 7s

|4 2 2 3 3 2 3 2 2

|-

!3L 6s

!3L 6s

|4 2 2 4 3 2 3 3 2

|-

!4L 5s

!4L 5s

|4 3 2 4 2 4 2 4 2

|-

!5L 4s

!5L 4s

|4 4 2 4 3 3 3 4 4 2

|-

!6L 3s

!6L 3s

|4 4 3 4 3 3 4 4 2

|-

!7L 2s

!7L 2s

|4 4 4 3 4 4 4 4 2

7L 1m 1s

|}