--- In tuning@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> --- In tuning@yahoogroups.com, "monz" <monz@t...> wrote:
>
> > http://tonalsoft.com/enc/index2.htm?circle-of-5ths.htm
>
> I think you need to point out that an equal temperament can have
more
> than one circle. 15 and 22 would be good examples.

22-ET would _not_ be a good example. It only has one circle of its
best fifths. What may have misled you is that it supports two chains
of fifths a half-octave apart, but these eventually run into each
other and form a single cycle. Here are all examples no larger than
72-ET.

2 cycles: 10, 14, 24, 34, 38, 44, 52, 54, 58, 62
3 cycles: 15, 21, 36, 51, 57, 66
4 cycles: 20, 28, 48, 68
5 cycles: 25, 35, 60
6 cycles: 30, 72.