32nd-octave temperaments

These are temperaments with period 1/32 of an octave.

Windrose

The temperament is called windrose because there are 32 cardinal directions commonly assigned to a compass rose. It is defined as a 608 & 1600 temperament. The maximal evenness pattern created inside the generator is a 12L 7s, if mapped to a keyboard, which has a 2:3 step ratio and thus offers elegant microtempering that plays with the just noticeable difference. Higher-dimensional versions of this are lower in badness than low-dimensional ones.

7-limit

Subgroup:2.3.5.7

Comma list: [38, 9, -8, -12⟩, [15, -28, 32, -16⟩

Mapping: 32 44 68 89, 0 16 15 2

POTE Generator: 15.7517¢

Germanium

It is named after germanium, the 32nd element. This is the most just intonation-friendly 32st-octave temperament,

Subgroup: 2.3.5.7.11.13

Comma list:

Mapping: [[32 51 75 89 110 118⟩, [0 -2 -5 6 5 3⟩]

POTE Generator: 5.2381¢

Van Dijk

Defined as a 2016dijk & 1600 temperament, since the warts on the val spell out the Dutch surname Van Dijk.

Subgroup: 2.3.5.7.11.13.17.19.23.29.31.37

Comma list:

Mapping: [[32 59 72 111 113 129 140 141 165 178 182 169⟩, [0 -18 5 -46 -5 -23 -20 -11 -44 -49 -51 -5⟩]

POTE Generator: 17.2544¢