1701/1700: Difference between revisions

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'''1701/1700''', the '''palingenesis comma''' or '''palingenesia''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents. It arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and the the amount by which [[85/84]] falls short of [[81/80]]. When tempered out in a linearly independent fashion, the resulting temperaments are called "'''palingenesis temperaments'''", and are characterized by the presence of [[Dyadic chord|essentially tempered chord]]s called "'''[[palingenic chords]]'''".

This comma's names ultimately come from the Ancient Greek word "palingenesía" (meaning "rebith", "regeneration" or "renaissance"<ref>[[Wiktionary: palingenesis #English]]</ref>), a fitting name since people often hope for a new start after each year.

This comma's names ultimately come from the Ancient Greek word "palingenesía" (meaning "rebith", "regeneration" or "renaissance"<ref>[[Wiktionary: palingenesis #English]]</ref>), a fitting name since people often hope for a new start after each year. The name is also appropriate in light of how certain essentially tempered chords generated by this comma are evocative of the kinds of chords heard in [[24edo]], where many microtonalists get their first start, despite 24edo itself not tempering out this comma.

== See also ==

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 '''1701/1700''', the '''palingenesis comma''' or '''palingenesia''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents.  It arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and the the amount by which [[85/84]] falls short of [[81/80]].  When tempered out in a linearly independent fashion, the resulting temperaments are called "'''palingenesis temperaments'''", and are characterized by the presence of [[Dyadic chord|essentially tempered chord]]s called "'''[[palingenic chords]]'''".
-This comma's names ultimately come from the Ancient Greek word "palingenesía" (meaning "rebith", "regeneration" or "renaissance"<ref>[[Wiktionary: palingenesis #English]]</ref>), a fitting name since people often hope for a new start after each year.
+This comma's names ultimately come from the Ancient Greek word "palingenesía" (meaning "rebith", "regeneration" or "renaissance"<ref>[[Wiktionary: palingenesis #English]]</ref>), a fitting name since people often hope for a new start after each year.  The name is also appropriate in light of how certain essentially tempered chords generated by this comma are evocative of the kinds of chords heard in [[24edo]], where many microtonalists get their first start, despite 24edo itself not tempering out this comma.
 == See also ==