Talk:Meantone

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Hypopental EDO's

I've added an article for "hyperpent" a.k.a. hyperpental edo's and it's antithesis, "hypopent," or hyperpental edo's to cover classifications of different equal divisions of the octave that temper the fifth either sharp or flat, descriptively, rather than as a matter of intent or purpose.

I'm not sure if this is virtually redundant with "meantone" and "superpyth", but, if it is, I'd be happy to delete those articles or merge any useful information here.

--Bozu (talk) 15:42, 9 July 2020 (UTC)

Definitely not redundant, but I remember seeing these concepts somewhere, in different terms. FloraC (talk) 13:25, 13 July 2020 (UTC)

Interesting. If you come across it again, please update. --Bozu (talk) 14:59, 13 July 2020 (UTC)

Mothra as a 7-limit extension

Seems that Mothra should be included under the 7-limit extensions of Meantone. After all, it IS included in meantone family, even if it doesn't get the organizational prominence of the standard Septimal Meantone and other competitors. Since it includes meantones with a fifth divisible by 3 all the way from 5EDO to 21cEDO, while the other 7-limit extensions are either more restricted in range (standard Septimal Meantone, Flattone, Dominant) or apply to only a very few equal temperaments in their range (Sharptone), it seems that Mothra should get more attention. Lucius Chiaraviglio (talk) 05:34, 1 August 2024 (UTC)

I think this article should mostly focus on septimal meantone and briefly cover other strong extensions (tho each septimal extension deserves its own article). Weak extensions aren't as closely connected to the original temp as strong extensions. I'd expect the discussion on weak extensions to be addressed in meantone family. FloraC (talk) 09:01, 2 August 2024 (UTC)

Shouldn't Mothra be considered a strong extension given its range of coverage? (I could see Cloudy as a weak 7-limit extension since it has a limited useful range.) Or am I misunderstanding what divides strong extensions from weak extensions? Lucius Chiaraviglio (talk) 14:57, 6 August 2024 (UTC)

There's indeed a misunderstanding. The exact meaning of a strong extension is an extension that doesn't split the period and generators. FloraC (talk) 15:23, 6 August 2024 (UTC)