Some minimal temperaments

Here are some minimal 5,7 and 9-limit temperaments under 100. This
sort of thing could be useful in the equal temperament notation
project, among other things.

12 notes
5-limit: augmented
7-limit: diminished

19 notes
5-limit: meantone
7-limit: kleismic
9-limit: hemifourths

22 notes:
5-limit: porcupine and magic
7&9-limit: pajara

31 notes
5-limit: meantone
7-limit: meantone and myna
9-limit: meantone

34 notes
5-limit: diaschismic or kleismic
7&9-limit: kleismic

41 notes
5&7&9-limit: magic

46 notes
5-limit: diaschismic
7-limit: valentine
9-limit: semisixths

50 notes
5&7&9-limit: meantone

53 notes
5-limit: kleismic
7-limit: orwell
9-limit: schismatic

58 notes
5-limit: diaschismic
7-limit: myna
9-limit: myna and diaschismic

68 notes
7-limit: hemiwuerschmidt
9-limit: octacot

72 notes
5-limit: kleismic
7&9-limit: miracle

80 notes
5-limit: diaschismic
7-limit: "number 66"=31&80
9-limit: "number 39"=53&80

84 notes
5-limit: semisixths
7&9-limit: orwell

87 notes
5-limit: kleismic
7&9-limit: supersupermajor

94 notes
5&7&9-limit: schismatic

99 notes
5-limit: wuerschmidt
7-limit: hemiwuerschmidt
9-limit: hemififths/neutral fifths

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> Here are some minimal 5,7 and 9-limit temperaments under 100. This
> sort of thing could be useful in the equal temperament notation
> project, among other things.

> 12 notes
> 5-limit: augmented
> 7-limit: diminished

I forgot:
9-limit: dominant or augie (=12&21)

We might also want:

15 notes
5-limit: augmented
7&9-limit: blackwood