Pythagoras of Samos - Revision history

ArrowHead294 at 16:19, 10 December 2024

2024-12-10T16:19:28Z

← Older revision		Revision as of 16:19, 10 December 2024
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	* The [[Pythagorean countercomma]]		* The [[Pythagorean countercomma]]
	* 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.		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.

BudjarnLambeth: Category:Historical

2024-11-06T11:44:56Z

Category:Historical

← Older revision		Revision as of 11:44, 6 November 2024
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	[[Category:Mathematicians]]		[[Category:Mathematicians]]
	[[Category:Theorists]]		[[Category:Theorists]]
			[[Category:Historical]]
	{{DEFAULTSORT:Pythagoras}}		{{DEFAULTSORT:Pythagoras}}

FloraC: "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.

2024-11-06T05:38:55Z

"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.

← Older revision		Revision as of 05:38, 6 November 2024
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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]]
	{{DEFAULTSORT:Pythagoras}}		{{DEFAULTSORT:Pythagoras}}

BudjarnLambeth: 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

2024-11-05T20:30:39Z

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

New page

{{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.

To this day we use terms like:
* [[Pythagoran tuning]]
* The [[Pythagorean family]] of temperaments
* [[Pythagorean means]]
* The [[Pythagorean comma]]
* 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 [[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.

[[Category:People]][[Category:Mathematicians]][[Category:Theorists]]
{{DEFAULTSORT:Pythagoras}}