361/360: Difference between revisions

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'''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]].  
'''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]].  


== Etymology ==
== Etymology ==

Revision as of 03:26, 6 September 2023

Interval information
Ratio 361/360
Subgroup monzo 2.3.5.19 [-3 -2 -1 2
Size in cents 4.802317¢
Names go comma,
dudon comma
Color name 19oog2, nonogu 2nd,
Nonogu comma
FJS name [math]\displaystyle{ \text{d2}^{19,19}_{5} }[/math]
Special properties square superparticular,
reduced
Tenney norm (log2 nd) 16.9877
Weil norm (log2 max(n, d)) 16.9917
Wilson norm (sopfr(nd)) 55
Comma size small
S-expression S19
Open this interval in xen-calc

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.

Etymology

The name go comma was named by Xenwolf in 2013. It is so named after go board, which has a 19×19 grid.

See also