4131/4096: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Ratio = 4131/4096

| Monzo = -12 5 0 0 0 0 1

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| Sound =

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'''4131/4096''', the '''septendecimal comma''' or '''Hunt flat 2 comma''', is a [[17-limit]] [[comma]] measuring about 14.7{{cent}}. It is the amount by which [[17/16]] deviates from [[256/243]].

~~The~~ '''septendecimal comma''' or '''Hunt flat 2 comma~~''', '''4131/4096~~''', is a [[17-limit]] [[comma]] measuring about 14.7 ~~cents~~. It is the amount by which [[17/16]] deviates from [[256/243]].

Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].

The septendecimal comma is significant in [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In [[Helmholtz-Ellis notation]] (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.

The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In [[Helmholtz-Ellis notation]] (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.

== See also ==

* [[~~Comma~~]]

* [[Small comma]]

[[Category:17-limit]]

[[Category:Small commas]]

~~[[Category:Ratio]]~~

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 {{Infobox Interval
-| JI glyph =
 | Ratio = 4131/4096
 | Monzo = -12 5 0 0 0 0 1
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 | Sound =
 }}
+'''4131/4096''', the '''septendecimal comma''' or '''Hunt flat 2 comma''', is a [[17-limit]] [[comma]] measuring about 14.7{{cent}}. It is the amount by which [[17/16]] deviates from [[256/243]].
-The '''septendecimal comma''' or '''Hunt flat 2 comma''', '''4131/4096''', is a [[17-limit]] [[comma]] measuring about 14.7 cents. It is the amount by which [[17/16]] deviates from [[256/243]].
 Besides the relationship above, it is also the difference between [[18/17]] and [[2187/2048]], between [[17/12]] and [[1024/729]], and their respective inverses. Furthermore, it and the septendecimal schisma [[2187/2176]] make a [[Pythagorean comma]].
-The septendecimal comma is significant in [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In [[Helmholtz-Ellis notation]] (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.
+The septendecimal comma is significant in the [[Functional Just System]] as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In [[Helmholtz-Ellis notation]] (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.
 == See also ==
-* [[Comma]]
+* [[Small comma]]
 [[Category:17-limit]]
 [[Category:Small commas]]
-[[Category:Ratio]]
+{{todo|add color name}}