513/512: Difference between revisions

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{{Infobox Interval

| Name = undevicesimal ~~comma~~, undevicesimal ~~schisma~~, Boethius' comma

| Name = undevicesimal schisma, undevicesimal formal comma, Boethius' comma

| Color name = L19o1, lano 1sn, <br>Lano comma

| Comma = yes

}}

'''513/512''', the '''undevicesimal schisma''', '''undevicesimal formal comma''' 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)]] and by which [[24/19]] falls short of the [[81/64|Pythagorean major third (81/64)]].

'''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~~]].''~~

{{Redirect|Boethius|the medieval Roman platonist|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]].

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 enable 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.

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 ===

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = undevicesimal comma, undevicesimal schisma, Boethius' comma
+| Name = undevicesimal schisma, undevicesimal formal comma, Boethius' comma
 | Color name = L19o1, lano 1sn, <br>Lano comma
 | Comma = yes
 }}
+'''513/512''', the '''undevicesimal schisma''', '''undevicesimal formal comma''' 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)]] and by which [[24/19]] falls short of the [[81/64|Pythagorean major third (81/64)]].
-'''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]].''
+{{Redirect|Boethius|the medieval Roman platonist|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]].
+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 enable 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.
+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 ===