1701/1700: Difference between revisions

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'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''', or '''palingenesma''', is a [[17-limit]] [[unnoticeable comma]] with a size of roughly 1.02 cents. It identifies the [[21/17|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324|marveltwin (325/324)]]. It is, in fact, the difference between the tannisma and the marveltwin. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and as the difference between [[63/50]] and [[34/27]].
'''1701/1700''', the '''palingenetic comma''', also known as the '''palingenesis''' or '''palingenesma''', is an [[unnoticeable comma|unnoticeable]] [[17-limit]] [[comma]] with a size of roughly 1.02 [[cent]]s. It identifies the [[21/17|septendecimal submajor third (21/17)]] by a stack of two [[10/9]] intervals, therefore making it comparable with the [[325/324|marveltwin (325/324)]]. It is, in fact, the difference between the marveltwin and the [[442/441|tannisma]]. See [[#Commatic relations]] below. It also arises as the amount by which a stack consisting of [[27/16]] and [[28/25]] exceeds [[17/9]], and as the difference between [[63/50]] and [[34/27]].


In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.  
In [[Sagittal notation]], it is the default comma represented by seven [[tina]]s.  
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[[Subgroup]]: 2.3.5.7.17
[[Subgroup]]: 2.3.5.7.17


{{Mapping|legend=2| 1 0 0 0 -2 | 0 1 0 0 5 | 0 0 1 0 -2 | 0 0 0 1 1 }}
{{Mapping|legend=3| 1 0 0 0 -2 | 0 1 0 0 5 | 0 0 1 0 -2 | 0 0 0 1 1 }}
: mapping generators: ~2, ~3, ~5, ~7
: mapping generators: ~2, ~3, ~5, ~7


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== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Palingenetic]]
[[Category:Palingenetic]]
[[Category:Commas named by translating something into another language]]
[[Category:Commas named by translating something into another language]]