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All discussion below is archived from the Wikispaces export in its original unaltered form.
Please do not add any new discussion to this archive page.
All new discussion should go on Talk:Supra12.

subgroup question

This looks like subgroup to me. No mode of supra[12] gets any closer to 7/4 than 16.888¢ away, while a whopping 8 modes of supra[12] come within 1.2¢ of 25/16, and 3 modes get within 5¢ of 13/8, which occupies the same slot where 8/5 dwells in regular superpyth[12]. What's more, ratios of 13 in supra[12] combine with other prime powers in the scale to make nice genera. For instance, you've got 26:32:39:48 in 2 modes, you've got 32:39:48:52 in 2 modes, and if we count the incomplete genera, you've got 13:16:22 triads in 3 modes and 13:16:25 triads in the same 3. The same point about nice genera, complete and incomplete, applies to 25 as to 13, only more so, because more supra[12] modes have a 25. So my question is this. Is there some consistency issue that keeps us from including 25 and 13 in the supra[12] subgroup? Or should 25 and 13 indeed be included?

- manuphonic December 01, 2017, 04:17:35 AM UTC-0800