513/512: Difference between revisions

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Distinction of boethius and boethian
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'''513/512''', the '''undevicesimal comma''', '''undevicesimal schisma''' or '''Boethius' comma''', is a [[19-limit]] (also 2.3.19 subgroup) unnoticeable comma. It is the amount by which [[19/16]] exceeds the [[32/27|Pythagorean minor third (32/27)]]. By tempering it out is defined the '''boethius temperament''', which enables the '''[[boethius chords]]'''. It is significant in [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby undevicesimal interval.
'''513/512''', the '''undevicesimal comma''', '''undevicesimal schisma''' or '''Boethius' comma''', is an [[Unnoticeable comma|unnoticeable]] [[19-limit]] (also 2.3.19 [[subgroup]]) comma. It is the amount by which [[19/16]] exceeds the [[32/27|Pythagorean minor third (32/27)]]. It is significant in [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby undevicesimal interval.
 
== Temperaments ==
By tempering out this comma in the 19-limit is defined the '''boethius temperament''', or in the 2.3.19 subgroup, the '''boethian temperament'''. Both enables the [[boethius chords]].  


== See also ==
== See also ==