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x^4 - x^2 - 1

🔗Gene Ward Smith <gwsmith@svpal.org>

8/31/2003 3:57:15 PM

The subject line is a polynomial whose big root is a sharp 11/8, and a
PV number. It works for the 11-limit linear temperament whose wedgie is

[12, 5, -9, 1, -20, -48, -40, -35, -15, 34]

and whose "icon", or prime mapping, is given by

[[1, -4, 0, 7, 3], [0, 12, 5, -9, 1]]

and whose TM reduced basis is <126/125, 176/175, 1344/1331>

I assume the point is to use recurrence values to construct a scale,
which opens the question of what an intelligent way would be for doing
that.

🔗Gene Ward Smith <gwsmith@svpal.org>

8/31/2003 6:02:38 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> The subject line is a polynomial whose big root ...

The subject line is wrong, alas; I meant x^4-x^3-1.