Talk:Pajara: Difference between revisions

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==Minimax tunings==

== Minimax tunings ==

Although I'd like to have any excuse for the 7th harmonic to be more in tune, I don't think it makes much sense to call the tuning with eigenmonzo 7/6 the "7-odd-limit minimax".

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I suggest labeling the tuning with eigenminzo 48/35 the 7-off limit minimax, because that's where 6/5 and 8/7 are balanced. That's also what you get if you take the minimum of the [https://en.wikipedia.org/wiki/Norm_(mathematics)#p-norm p-norm (Wikipedia)] of the errors when p approaches infinity. I haven't checked but some other odd-limit minimax tunings may be changed too. [[User:Roeesi|Roeesi]] ([[User talk:Roeesi|talk]]) 13:56, 16 October 2022 (UTC)

== Unclear/questionable paragraph ==

> Pajara has fundamentally different categories, as a conventional semifourth (~250 cents) is now a neutral interval of some variety.

Different from what? Is this talking about Pajara[10] or Pajara[12]? Afaik pajara doesn't have an exact hemifourth.

> A unique feature of pajara is [1–6/5–3/2–12/7] as an essentially tempered alteration to [1–5/4–3/2–7/4] where both the third and the harmonic seventh are flattened by a chroma.

Isn't it a feature of all jubilismic temperaments? Also "essentially tempered alteration" doesn't make sense to me.

[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 15:05, 2 August 2025 (UTC)

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-==Minimax tunings==
+== Minimax tunings ==
 Although I'd like to have any excuse for the 7th harmonic to be more in tune, I don't think it makes much sense to call the tuning with eigenmonzo 7/6 the "7-odd-limit minimax".
@@ Line 5: / Line 5: @@
 I suggest labeling the tuning with eigenminzo 48/35 the 7-off limit minimax, because that's where 6/5 and 8/7 are balanced. That's also what you get if you take the minimum of the [https://en.wikipedia.org/wiki/Norm_(mathematics)#p-norm p-norm (Wikipedia)] of the errors when p approaches infinity. I haven't checked but some other odd-limit minimax tunings may be changed too. [[User:Roeesi|Roeesi]] ([[User talk:Roeesi|talk]]) 13:56, 16 October 2022 (UTC)
+== Unclear/questionable paragraph ==
+> Pajara has fundamentally different categories, as a conventional semifourth (~250 cents) is now a neutral interval of some variety.
+Different from what? Is this talking about Pajara[10] or Pajara[12]? Afaik pajara doesn't have an exact hemifourth.
+> A unique feature of pajara is [1–6/5–3/2–12/7] as an essentially tempered alteration to [1–5/4–3/2–7/4] where both the third and the harmonic seventh are flattened by a chroma.
+Isn't it a feature of all jubilismic temperaments? Also "essentially tempered alteration" doesn't make sense to me.
+[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 15:05, 2 August 2025 (UTC)