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 | '''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. | ||
Revision as of 05:43, 14 February 2021
| Interval information |
palingenesia
reduced
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 essentially tempered chords called "palingenic chords".
This comma's names ultimately come from the Ancient Greek word "palingenesía" (meaning "rebith", "regeneration" or "renaissance"[1]), a fitting name since people often hope for a new start after each year.