361/360: Difference between revisions
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'''361/360''', the '''go comma''' or '''dudon comma''', also described as the ''undevicesimal semitones comma'' | '''361/360''', the '''go comma''' or '''dudon comma''', also described as the ''undevicesimal semitones comma'' is a [[19-limit]] (also 2.3.5.19 [[subgroup]]) [[superparticular]] [[comma]] of about 4.8 [[cent]]s. It is the difference between [[19/18]] and [[20/19]], the two undevicesimal semitones, as well as between [[19/15]] and [[24/19]], the two undevicesimal major thirds. It is also the difference between two stacked [[19/18]] and [[10/9]]. By tempering it out is defined the '''dudon temperament''', which enables the [[dudon chords]]. | ||
It factors in the 2.3.5.7.11.13.19 subgroup as [[364/363]] * [[43681/43680]]. | |||
== Etymology == | == Etymology == | ||
The name ''go comma'' was named by [[User:Xenwolf|Xenwolf]] in 2013. It is so named after [[wikipedia:Go equipment|go board]], which has a 19×19 grid. | The name ''go comma'' was named by [[User:Xenwolf|Xenwolf]] in 2013. It is so named after [[wikipedia:Go equipment|go board]], which has a 19×19 grid. However, ''dudon comma'' (named for [[Jacques Dudon]]) was attested much earlier. | ||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Dudon]] | |||
[[Category:Commas referencing a famous use of a number]] | |||
Latest revision as of 04:04, 12 May 2026
| Interval information |
dudon comma
Nonogu comma
reduced
361/360, the go comma or dudon comma, also described as the undevicesimal semitones comma is a 19-limit (also 2.3.5.19 subgroup) superparticular comma of about 4.8 cents. It is the difference between 19/18 and 20/19, the two undevicesimal semitones, as well as between 19/15 and 24/19, the two undevicesimal major thirds. It is also the difference between two stacked 19/18 and 10/9. By tempering it out is defined the dudon temperament, which enables the dudon chords.
It factors in the 2.3.5.7.11.13.19 subgroup as 364/363 * 43681/43680.
Etymology
The name go comma was named by Xenwolf in 2013. It is so named after go board, which has a 19×19 grid. However, dudon comma (named for Jacques Dudon) was attested much earlier.