Talk:144/125: Difference between revisions

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re
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  (6/5) / (25/24) → (6/5) * (24/25) → (6*24)/(5*25) → 144/125
  (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. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 14:33, 27 September 2020 (UTC)
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. --[[User:Xenwolf|Xenwolf]] ([[User talk: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. [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 15:30, 27 September 2020 (UTC)

Revision as of 15:30, 27 September 2020

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)