Pythagoras of Samos: Difference between revisions

BudjarnLambeth (talk | contribs)
Creating these pages more as a navigational aid than anything. I don’t expect anybody to be on the Xen Wiki wanting info about Pythagoras or Mercator specifically, but the pages act as nice wiki transport hubs for a bunch of related tuning concepts
 
"Limma" and "diatonic semitone" are the same thing. The various interval names are just part of the same series so I don't see the reason to repeat that. I certainly don't see "Pythagorean" being replaced with "3-limit". "Pythagorean family" is fully dead so I think it's safe to simply remove it.
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To this day we use terms like:
To this day we use terms like:
* [[Pythagoran tuning]]
* [[Pythagorean tuning]]
* The [[Pythagorean family]] of temperaments
* [[Pythagorean means]]
* [[Pythagorean means]]
* The [[Pythagorean limma]] or [[Pythagorean diatonic semitone]]
* The [[Pythagorean chromatic semitone]]
* The [[Pythagorean comma]]
* The [[Pythagorean comma]]
* The [[Pythagorean kleisma]]
* The [[Pythagorean countercomma]]
* The [[Pythagorean countercomma]]
* The [[Pythagorean limma]]
* The [[Pythagorean kleisma]]
* The [[Pythagorean diatonic semitone]]
* The [[Pythagorean chromatic semitone]]
* The [[Pythagorean augmented second]]
* The [[Pythagorean augmented fifth]]
* The [[Pythagorean diminished fourth]]
* The [[Pythagorean dominant seventh chord]]
* The [[Pythagorean dominant seventh chord]]
* The [[Schismic-Pythagorean equivalence continuum]]
* The [[Schismic-Pythagorean equivalence continuum]]


In tuning theory, “Pythagorean” has come to be almost synonymous with a [[3-limit]], pure [[just intonation]] approach to tuning. However, because “Pythagorean” and “Pythagoras’” have been applied to so many different concepts over the centuries, a lot of these terms are a little bit ill-defined, with potential for confusion around what exactly someone means when they say “Pythagorean tuning” or something of the sort. For this reason, gradually, some Pythagoras-centric music theory terms have fallen out of favour and been replaced with different terms like “3-limit”, “[[compton]]”, or various other things depending on the specific context.
In tuning theory, "Pythagorean" has come to be almost synonymous with a [[3-limit]], pure [[just intonation]] approach to tuning. However, because "Pythagorean" and "Pythagoras'" have been applied to so many different concepts over the centuries, a lot of these terms are a little bit ill-defined, with potential for confusion around what exactly someone means when they say "Pythagorean tuning" or something of the sort.  


[[Category:People]][[Category:Mathematicians]][[Category:Theorists]]
[[Category:People]]
[[Category:Mathematicians]]
[[Category:Theorists]]
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