Talk:31st-octave temperaments: Difference between revisions
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If there is no way to present the lemma ('''in bold''') in the introduction, this seems to indicate a problem. Any ideas about that? --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:21, 23 February 2022 (UTC) | If there is no way to present the lemma ('''in bold''') in the introduction, this seems to indicate a problem. Any ideas about that? --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:21, 23 February 2022 (UTC) | ||
: Plenty of Wikipedia articles don't have a bolded lemma (e.g. [[Wikipedia: List of compositions by Johann Sebastian Bach]]). It's more common when the article is not about a concept but about a collection. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:01, 24 February 2022 (UTC) | |||
Revision as of 10:01, 24 February 2022
sad enfactoring?
Trying to understand this statement in the Birds section: "It also tempers out the 31-7 comma, but sadly, combining the two commas leads to torsion."
When the commas listed — 3136/3125 and 823543/819200 — are expressed as the comma basis for this temperament, we get ⟨[6 0 -5 2⟩ [-15 0 -2 7⟩]. This matches with the mapping provided [⟨31 49 72 87] ⟨0 1 0 0]⟩, i.e. it is its null-space. In canonical form this mapping and comma basis are [⟨31 0 72 87] ⟨0 1 0 0]⟩ and ⟨[-72 0 31 0⟩ [-33 0 13 1⟩], respectively.
Elsewhere description claims that this temperament could be defined by tempering out the 31-5 and the 31-7 commas, were it not for torsion. I don't know what is "sad" about the torsion. Simply remove it by defactoring, right? When these two commas are expressed as a comma basis for a temperament it looks like ⟨[-87 0 0 31⟩ [72 0 -31 0⟩], and then if we put it in canonical form (which defactors it), we get the same thing ⟨[-72 0 31 0⟩ [-33 0 13 1⟩] as what's there.
So can't we just remove the part where it says "but sadly, combining the two commas leads to torsion"? Otherwise, can we clarify what is sad?
If this clause is retained, then I have a revision request. As you can read about on the page re: defactoring, I am recommending we not use the word "torsion" for temperaments, but only for periodicity blocks. A temperament may "be enfactored", but it shouldn't be said to "have torsion". --Cmloegcmluin (talk) 16:24, 30 September 2021 (UTC)
- I don't understand that part either. That said, this entire page may use some improvements. FloraC (talk) 16:56, 30 September 2021 (UTC)
Bold lemma?
If there is no way to present the lemma (in bold) in the introduction, this seems to indicate a problem. Any ideas about that? --Xenwolf (talk) 22:21, 23 February 2022 (UTC)
- Plenty of Wikipedia articles don't have a bolded lemma (e.g. Wikipedia: List of compositions by Johann Sebastian Bach). It's more common when the article is not about a concept but about a collection. FloraC (talk) 10:01, 24 February 2022 (UTC)