A remarkable property of 270

If we take the 12 smallest 13-limit superparticular commas, namely

1001/1000, 1716/1715, 2080/2079, 2401/2400, 3025/3024, 4096/4095,
4225/4224, 4375/4374, 6656/6655, 9801/9800, 10648/10647, 123201/123200

we find that they all have the property of being 270-et commas.
Moreover, if we take this comma list five at a time, we get the 270 et
in all cases where the five commas are linearly independent. Sometimes
we get what we might regard as 540, but this is just a doubling of 270.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> If we take the 12 smallest 13-limit superparticular commas, namely
>
> 1001/1000, 1716/1715, 2080/2079, 2401/2400, 3025/3024, 4096/4095,
> 4225/4224, 4375/4374, 6656/6655, 9801/9800, 10648/10647,
123201/123200
>
> we find that they all have the property of being 270-et commas.

much like 72-equal in the 11-limit.

> Moreover, if we take this comma list five at a time, we get the 270
et
> in all cases where the five commas are linearly independent.
Sometimes
> we get what we might regard as 540, but this is just a doubling of
270.

in other words, torsion?

--- In tuning-math@yahoogroups.com, "Paul Erlich" <perlich@a...>
wrote:

> > in all cases where the five commas are linearly independent.
> Sometimes
> > we get what we might regard as 540, but this is just a doubling
of
> 270.
>
> in other words, torsion?

Fraid so, if you try to use it for a block.