4131/4096: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 4131/4096 | | Ratio = 4131/4096 | ||
| Monzo = -12 5 0 0 0 0 1 | | Monzo = -12 5 0 0 0 0 1 | ||
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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]]. | |||
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]]. | 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 == | == See also == | ||
* [[ | * [[Small comma]] | ||
[[Category:17-limit]] | [[Category:17-limit]] | ||
[[Category:Small commas]] | [[Category:Small commas]] | ||
{{todo|add color name}} | |||
Revision as of 21:27, 12 April 2022
| Interval information |
reduced harmonic
4131/4096, the septendecimal comma or Hunt flat 2 comma, is a 17-limit comma measuring about 14.7 ¢. 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 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.