View source for 513/512

{{Infobox Interval
| Name = undevicesimal comma, undevicesimal schisma, Boethius' comma
| Color name = L19o1, lano 1sn, <br>Lano comma
| Comma = yes
}}

'''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)]]. 

== Temperaments ==
: ''"Boethius" redirects here. For the medieval Roman platonist, see [[Anicius Manlius Severinus Boethius]].''

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 [[No-fives subgroup temperaments #Boethian]].

== Notation ==
This comma is significant in [[Functional Just System]] and [[Helmholtz-Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby undevicesimal interval.

=== Sagittal notation ===
In the [[Sagittal]] system, this comma (possibly tempered) is represented by the sagittal {{sagittal | )| }} and is called the '''19 schisma''', or '''19s''' for short, because the simplest interval it notates is 19/1 (equiv 19/16), as for example in D-F{{nbhsp}}{{sagittal | )| }}. The downward version is called '''1/19s''' or '''19s down''' and is represented by {{sagittal| )! }}.

== See also ==
* [[List of superparticular intervals]]

[[Category:Boethius]]
[[Category:Commas named after their interval size]]
[[Category:Commas named after polymaths]]