65/19 atom: Difference between revisions

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{{Infobox Interval

| ~~name~~ = 65/19 atom

| Name = 65/19 atom

| Ratio = 272629760/272629233

| Color name = ss19u3oy2, sasa-nuthoyo 2nd

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}}

'''272629233~~/272629760~~''', the '''65/19 atom''', is ~~an unnoticeable comma in the~~ 2.3.5.13.19 subgroup. It is the amount by which the 13-comma [[6656/6561]] ("tetris comma") exceeds the 19/5-comma [[41553/40960]] (~~the difference between the classical major third~~ [[~~5/4~~]] ~~lowered by an~~ [[~~apotome~~]] ~~and the novemdecimal minor third~~ [[19/16]]). Their difference is small enough that [[sagittal]] ~~accidentals do not distinguish between~~ the 13-comma ~~and~~ the 19/5-comma: the most accurate possible representation of the 13th harmonic in sagittal accidentals (as three octaves above a ~~<code>)~~/||| P5~~</code>~~) accrues this 0.0033{{cent}} error.

'''272629760/272629233''', the '''65/19 atom''', is a [[19-limit]] (2.3.5.13.19 subgroup) [[unnoticeable comma]]. It represents the tiny interval between the pythagorean comma [[pythagorean comma|3<sup>12</sup>/2<sup>19</sup>]] and the wilsorma [[65/64]] lowered by the 19-schisma [[513/512]].

Notably, the 65/19 atom is also the amount by which the 13-comma [[6656/6561]] ("tetris comma") exceeds the 19/5-comma [[41553/40960]] (an [[apotome]] above [[19/16]] lowered by [[5/4]]). Their difference is small enough that the untempered Promethian (high precision) and Herculean (ultra precision) [[sagittal]] accidental systems equate the 13-comma with the 19/5 comma: the most accurate possible representation of the [[13/1|13th harmonic]] in JI sagittal accidentals at these precision levels (as three octaves above a {{nowrap|{{sagittal| /||| }}P5}}) accrues this 0.0033{{cent}} error.

[[Category:Commas named systematically]]

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 {{Infobox Interval
-| name = 65/19 atom
+| Name = 65/19 atom
 | Ratio = 272629760/272629233
 | Color name = ss19u3oy2, sasa-nuthoyo 2nd
@@ Line 6: / Line 6: @@
 }}
-'''272629233/272629760''', the '''65/19 atom''', is an unnoticeable comma in the 2.3.5.13.19 subgroup. It is the amount by which the 13-comma [[6656/6561]] ("tetris comma") exceeds the 19/5-comma [[41553/40960]] (the difference between the classical major third [[5/4]] lowered by an [[apotome]] and the novemdecimal minor third [[19/16]]). Their difference is small enough that [[sagittal]] accidentals do not distinguish between the 13-comma and the 19/5-comma: the most accurate possible representation of the 13th harmonic in sagittal accidentals (as three octaves above a <code>)/||| P5</code>) accrues this 0.0033{{cent}} error.
+'''272629760/272629233''', the '''65/19&nbsp;atom''', is a [[19-limit]] (2.3.5.13.19 subgroup) [[unnoticeable comma]]. It represents the tiny interval between the pythagorean comma [[pythagorean comma|3<sup>12</sup>/2<sup>19</sup>]] and the wilsorma [[65/64]] lowered by the 19-schisma [[513/512]].
+Notably, the 65/19&nbsp;atom is also the amount by which the 13-comma [[6656/6561]] ("tetris comma") exceeds the 19/5-comma [[41553/40960]] (an [[apotome]] above [[19/16]] lowered by [[5/4]]). Their difference is small enough that the untempered Promethian (high precision) and Herculean (ultra precision) [[sagittal]] accidental systems equate the 13-comma with the 19/5 comma: the most accurate possible representation of the [[13/1|13th harmonic]] in JI sagittal accidentals at these precision levels (as three octaves above a {{nowrap|{{sagittal| /||| }}P5}}) accrues this 0.0033{{cent}} error.
+[[Category:Commas named systematically]]