Talk:Meantone family: Difference between revisions

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:: All I can think is that, sharp of 5edo, the M6 becomes sharp of the m7, and they cross over at 960 cents. [[User:Jerdle|Jerdle]] ([[User talk:Jerdle|talk]]) 09:50, 10 July 2025 (UTC)

== Request to remove impractical 17- and 19-limit extensions ==

I request removing "meantoid", "meridetoid", "meanploid", "meanenneadecoid", and "vincenzoid".

"Meanpoid" should be renamed to something else or straight-up made canonical.

Undecimal meantone is best tuned a little sharp of 31edo, with 31edo and 12edo as boundaries of diamond monotone, so 12 as a val makes a little more sense than 19e for the purpose of edo join here. Compare meanpop, which is 12e & 19, and 19 makes a little more sense than 12e, as meanpop is best tuned flat of 31edo. Now consider the 13-limit extension, called tridecimal meantone. This is a questionable extension, but to be fair at least the three vals supporting it (12f, 19e, 31) make sense for the purpose of edo join, and 31 actually makes some musical sense in the 13-limit. Unfortunately this locks 31edo in as the only useful tuning, as the prime 11 can't be flatter and the prime 13 can't be sharper. Therefore, any extension of this should be supported by 31 (not 31gh), be it simple or complex.

Besides tridecimal meantone we have meridetone, the 12f & 31f temp. 43 is the tuning here that plays the role of 31 in tridecimal meantone. For the same reason, any extension of this should be supported by 43 (not 43gh).

Meanpop works better with these extensions as tridecimal meanpop is a more flexible temp than tridecimal meantone. It has valid tunings between 19 and 31, and both 19 & 31 and 31 & 50 make sense in the 19-limit. These correspond to what we call "meanpoppic" and "meanpoid" currently.

Meanplop is centered around 19, similar to 31 to tridecimal meantone, and it should only be about 19 (not 19gh). Same for meanenneadecal and vincenzo.

[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:57, 22 August 2025 (UTC)

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 :: All I can think is that, sharp of 5edo, the M6 becomes sharp of the m7, and they cross over at 960 cents. [[User:Jerdle|Jerdle]] ([[User talk:Jerdle|talk]]) 09:50, 10 July 2025 (UTC)
+== Request to remove impractical 17- and 19-limit extensions ==
+I request removing "meantoid", "meridetoid", "meanploid", "meanenneadecoid", and "vincenzoid".
+"Meanpoid" should be renamed to something else or straight-up made canonical.
+Undecimal meantone is best tuned a little sharp of 31edo, with 31edo and 12edo as boundaries of diamond monotone, so 12 as a val makes a little more sense than 19e for the purpose of edo join here. Compare meanpop, which is 12e & 19, and 19 makes a little more sense than 12e, as meanpop is best tuned flat of 31edo. Now consider the 13-limit extension, called tridecimal meantone. This is a questionable extension, but to be fair at least the three vals supporting it (12f, 19e, 31) make sense for the purpose of edo join, and 31 actually makes some musical sense in the 13-limit. Unfortunately this locks 31edo in as the only useful tuning, as the prime 11 can't be flatter and the prime 13 can't be sharper. Therefore, any extension of this should be supported by 31 (not 31gh), be it simple or complex.
+Besides tridecimal meantone we have meridetone, the 12f & 31f temp. 43 is the tuning here that plays the role of 31 in tridecimal meantone. For the same reason, any extension of this should be supported by 43 (not 43gh).
+Meanpop works better with these extensions as tridecimal meanpop is a more flexible temp than tridecimal meantone. It has valid tunings between 19 and 31, and both 19 & 31 and 31 & 50 make sense in the 19-limit. These correspond to what we call "meanpoppic" and "meanpoid" currently.
+Meanplop is centered around 19, similar to 31 to tridecimal meantone, and it should only be about 19 (not 19gh). Same for meanenneadecal and vincenzo.
+[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 11:57, 22 August 2025 (UTC)