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]]. 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]]'''".

'''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 interval that [[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.

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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]].  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]]'''".
+'''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 interval that [[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.