Talk:Chords of pajara: Difference between revisions

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: The chord 1–10/9–5/4–7/5–14/9–7/4, that is hexad #1, can be tempered from apollo. From ''Chords of magic'' page it seems 7-limit and 11-limit magic chords are not distinguished, and I think we can follow that, so that pajara chords are those that require three independent commas to be tempered out, which means they don't exist. Also, altho minerva chords are given in ''Chords of orwell'' page, I noticed plurichords and det chords aren't distinguished there and that many of the minerva chords aren't really minerva det chords. I'll need to review that one to check whether such chords exist. It's difficult to work out from here cuz pajara conflates so many LCJI intervals. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 14:49, 30 January 2026 (UTC)

:: Nvm all magic chords are 11-limit.

:: And I'm starting to feel the chord types on this page are in an awkward state. To recap, minerva chords exist, except that all such chords in pajara can be tempered to apollo, and perhaps most apollo chords in pajara can be tempered to minerva too. Which type of chords we present largely depends on which individual intervals we choose to present, and as you can see the current setting leads to the result of leaving only one minerva chord, in the hexads section.

:: I wonder if it makes more sense to set the priorities by types of chords than by individual intervals, so that by setting apollo > minerva we don't need to worry about the latter type here.

:: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:46, 5 February 2026 (UTC)

: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 01:38, 1 February 2026 (UTC)

:: Det chords of rank-1 temps certainly exist. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:46, 5 February 2026 (UTC)

== Typing chords ==

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 : The chord 1–10/9–5/4–7/5–14/9–7/4, that is hexad #1, can be tempered from apollo. From ''Chords of magic'' page it seems 7-limit and 11-limit magic chords are not distinguished, and I think we can follow that, so that pajara chords are those that require three independent commas to be tempered out, which means they don't exist. Also, altho minerva chords are given in ''Chords of orwell'' page, I noticed plurichords and det chords aren't distinguished there and that many of the minerva chords aren't really minerva det chords. I'll need to review that one to check whether such chords exist. It's difficult to work out from here cuz pajara conflates so many LCJI intervals. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 14:49, 30 January 2026 (UTC)
+:: Nvm all magic chords are 11-limit.
+:: And I'm starting to feel the chord types on this page are in an awkward state. To recap, minerva chords exist, except that all such chords in pajara can be tempered to apollo, and perhaps most apollo chords in pajara can be tempered to minerva too. Which type of chords we present largely depends on which individual intervals we choose to present, and as you can see the current setting leads to the result of leaving only one minerva chord, in the hexads section.
+:: I wonder if it makes more sense to set the priorities by types of chords than by individual intervals, so that by setting apollo > minerva we don't need to worry about the latter type here.
+:: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:46, 5 February 2026 (UTC)
 : There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 01:38, 1 February 2026 (UTC)
+:: Det chords of rank-1 temps certainly exist. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:46, 5 February 2026 (UTC)
 == Typing chords ==