Talk:Essential tempering comma

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Definition still wrong

Despite my earlier attempt to frame it for identifying essentially tempered triads (and excluding tetrads), now I find it also fails this task. For example, 121/120 induces essentially tempered triads. One of them is 1-11/8-5/3 with steps 11/8-11/9-6/5. Although 11/10 and 12/11 are interchangeable in the chord construction, the pair of 11/8 and 15/11 isn't since 11/8 is 11-odd-limit and 15/11 isn't, which constitutes the source of the tempering essence.

How about this definition:

1. There are three intervals i, j, and k in S such that c = ij/k, and
2. None of cⁿi, cⁿj, and cⁿk is a member of S, where n is a nonzero integer.

Can anyone check it out? FloraC (talk) 14:44, 7 January 2022 (UTC)