32nd-octave temperaments: Difference between revisions

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== Germanium ==
== Germanium ==
It is named after germanium, the 32nd element. This is the most just intonation-friendly 32st-octave temperament,
It is named after germanium, the 32nd element. Defined as 224 & 1376, this is the most just intonation-friendly 32nd-octave temperament. It tempers out [[3025/3024]], [[4096/4095]], [[4375/4374]] and [[9801/9800]] in the 13-limit, although if only these commas are taken, they make a rank 3 1/2-octave temperament called [[rym]].


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list:  
Comma list: 3025/3024, 4096/4095, 256000/255789, 5942475/5940688


Mapping: [{{monzo|32 51 75 89 110 118}}, {{monzo|0 -2 -5 6 5 3}}]
Mapping: [{{monzo|32 51 75 89 110 118}}, {{monzo|0 -2 -5 6 5 3}}]