Talk:144/125

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Revision as of 18:22, 27 September 2020 by Xenwolf (talk | contribs) (+toc)
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Classic diminished third?

I doubt its "class". Does a "classic diminished third" exist at all? To me it seems dubious. Of course, I see that that it can be built by decreasing the classic (5-limit) minor third (6/5) by the classic chromatic semitone (25/24):

(6/5) / (25/24) → (6/5) * (24/25) → (6*24)/(5*25) → 144/125

but: is it this mathematical deduction really of musical relevance? I have the impression that meantone and just intonation got mixed up here. I'd be glad if someone would help me to understand. For instance show me a good example of a diminished third in action. --Xenwolf (talk) 14:33, 27 September 2020 (UTC)

There's not one but more "classic diminished thirds". Try decreasing 6/5 by 135/128 and that yields 256/225. They are identical in meantone, so nobody would distinguish them in classical era. FloraC (talk) 15:30, 27 September 2020 (UTC)
Maybe classic is a bit misleading in this context. --Xenwolf (talk) 15:45, 27 September 2020 (UTC)

As a comma

The idea of tempering out such a big comma confuses me. I read the University temperament article, I heard the piece. Which actually seems to be in a tuning near 21edo. Isn't this just an error in nomenclature? I appreciate any help for better understanding. Thanks --Xenwolf (talk) 16:01, 27 September 2020 (UTC)