25EDO Scales

just to help anyone lacking inspiration for 25EDO,
I've put together this little list of scales.
They are written in mod25 pitch-class notation.
They start on pc 0, but I don't vouch for where the
'tonic' is or what harmonies can result.

I've ignored any relation with JI: not because I don't rate JI,
but because these are only scales derived from intervals that
cycle around the 25 notes. I've put the interval by which to
transpose upward to effect 'modulation' by the same analogy
with 7 from 12.

0 4 7 10 13 16 19 22 (0 T22
0 5 9 13 17 21 (0 T21
0 4 7 11 14 18 22 (0 T18

0 2 4 6 9 11 13 15 18 20 22 (0 T16
0 2 4 6 8 9 11 13 15 17 18 20 22 24 (0 T9

0 2 5 8 11 13 16 19 22 (0 T14
0 2 4 5 7 8 10 11 13 15 16 18 19 21 22 24 (0 T11

and a tetratonic scale:
0 7 13 19 (0 T19

Plenty of scales.... :)

Mark

--- In MakeMicroMusic@yahoogroups.com, "M Gould" <mark.gould@a...>
wrote:
>
> 0 4 7 10 13 16 19 22 (0 T22
> 0 5 9 13 17 21 (0 T21
> 0 4 7 11 14 18 22 (0 T18
>
> 0 2 4 6 9 11 13 15 18 20 22 (0 T16
> 0 2 4 6 8 9 11 13 15 17 18 20 22 24 (0 T9
>
> 0 2 5 8 11 13 16 19 22 (0 T14
> 0 2 4 5 7 8 10 11 13 15 16 18 19 21 22 24 (0 T11
>
> and a tetratonic scale:
> 0 7 13 19 (0 T19
>
> Plenty of scales.... :)
>

Plenty indeed!
Do the scales above have some special properties (apart from having
two step sizes)?

Here are some more - decatonic ones.

0 3 5 8 10 13 15 18 20 23
0 3 5 7 10 12 15 17 20 22
0 2 5 8 10 12 15 18 20 23
0 3 5 7 10 13 15 17 20 23
0 3 5 8 10 12 15 18 20 23
0 2 4 7 10 12 15 17 20 22
--
Hans Straub
http://home.datacomm.ch/straub