Pythagoras of Samos: Difference between revisions

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'''Pythagoras of Samos''' was an [[Ancient Greek]] polymath. He is credited with a vast number of ideas across mathematics, philosophy and music theory. It may be possible that many of these ideas could have preceded Pythagoras and his name was simply the name they got attached to. Whether ~~that’s~~ true or not, ~~what’s~~ more important is that generations of music theorists and composers after Pythagoras ''believed'' that they were building on his work. So whether or not Pythagoras himself contributed hugely to music tuning theory, the ''idea of him'' certainly did.

'''Pythagoras of Samos''' was an [[Ancient Greek]] polymath. He is credited with a vast number of ideas across mathematics, philosophy and music theory. It may be possible that many of these ideas could have preceded Pythagoras and his name was simply the name they got attached to. Whether that is true or not, what is more important is that generations of music theorists and composers after Pythagoras ''believed'' that they were building on his work. So whether or not Pythagoras himself contributed hugely to music tuning theory, the ''idea of him'' certainly did.

In tuning theory, '''Pythagorean''' has come to be almost synonymous with a [[3-limit]], pure [[just intonation]] approach to tuning. However, there are a few other terms that involve ''Pythagorean'' and ''Pythagoras'' that refer to other concepts.

To this day we use terms like:

* [[Pythagorean tuning]]

* Pythagorean intervals, chords, and scales, such as:

** The [[Pythagorean limma]] or [[Pythagorean diatonic semitone]]

** The [[Pythagorean apotome]] or [[Pythagorean chromatic semitone]]

** The [[Pythagorean comma]], [[Pythagorean kleisma]], and [[Pythagorean countercomma]]

** The [[Pythagorean dominant seventh chord]]

* [[Pythagorean means]]

* The [[Pythagorean limma]] or [[Pythagorean diatonic semitone]]

* The [[Pythagorean chromatic semitone]]

* The [[Pythagorean comma]]

* The [[Pythagorean kleisma]]

* The [[Pythagorean countercomma]]

* The [[Pythagorean dominant seventh chord]]

* 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.

[[Category:People]]

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 {{Wikipedia}}
-'''Pythagoras of Samos''' was an [[Ancient Greek]] polymath. He is credited with a vast number of ideas across mathematics, philosophy and music theory. It may be possible that many of these ideas could have preceded Pythagoras and his name was simply the name they got attached to. Whether that’s true or not, what’s more important is that generations of music theorists and composers after Pythagoras ''believed'' that they were building on his work. So whether or not Pythagoras himself contributed hugely to music tuning theory, the ''idea of him'' certainly did.
+'''Pythagoras of Samos''' was an [[Ancient Greek]] polymath. He is credited with a vast number of ideas across mathematics, philosophy and music theory. It may be possible that many of these ideas could have preceded Pythagoras and his name was simply the name they got attached to. Whether that is true or not, what is more important is that generations of music theorists and composers after Pythagoras ''believed'' that they were building on his work. So whether or not Pythagoras himself contributed hugely to music tuning theory, the ''idea of him'' certainly did.
+In tuning theory, '''Pythagorean''' has come to be almost synonymous with a [[3-limit]], pure [[just intonation]] approach to tuning. However, there are a few other terms that involve ''Pythagorean'' and ''Pythagoras'' that refer to other concepts.
 To this day we use terms like:
 * [[Pythagorean tuning]]
+* Pythagorean intervals, chords, and scales, such as:
+** The [[Pythagorean limma]] or [[Pythagorean diatonic semitone]]
+** The [[Pythagorean apotome]] or [[Pythagorean chromatic semitone]]
+** The [[Pythagorean comma]], [[Pythagorean kleisma]], and [[Pythagorean countercomma]]
+** The [[Pythagorean dominant seventh chord]]
 * [[Pythagorean means]]
-* The [[Pythagorean limma]] or [[Pythagorean diatonic semitone]]
-* The [[Pythagorean chromatic semitone]]
-* The [[Pythagorean comma]]
-* The [[Pythagorean kleisma]]
-* The [[Pythagorean countercomma]]
-* The [[Pythagorean dominant seventh chord]]
-* 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.
 [[Category:People]]