Pythagoras of Samos: Difference between revisions
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"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. |
There's no confusion around Pythagorean tuning |
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{{Wikipedia}} | {{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 | '''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: | To this day we use terms like: | ||
* [[Pythagorean tuning]] | * [[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]] | * [[Pythagorean means]] | ||
[[Category:People]] | [[Category:People]] | ||
[[Category:Mathematicians]] | [[Category:Mathematicians]] | ||
[[Category:Theorists]] | [[Category:Theorists]] | ||
[[Category:Historical]] | |||
{{DEFAULTSORT:Pythagoras}} | {{DEFAULTSORT:Pythagoras}} | ||
Latest revision as of 07:59, 12 September 2026
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:
- Pythagorean means