65/19 atom - Revision history

ArrowHead294 at 16:02, 3 March 2025

2025-03-03T16:02:40Z

← Older revision		Revision as of 16:02, 3 March 2025
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	'''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]].		'''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~~\|size=4em~~\| /\|\|\| }}P5}}) accrues this 0.0033{{cc}} error.		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]]		[[Category:Commas named systematically]]

Recentlymaterialized: I'm not completely sure why this was added to Category:Commas with unknown etymology, but it is indeed a systematic name so I've removed it for now

2025-01-25T07:28:11Z

I'm not completely sure why this was added to Category:Commas with unknown etymology, but it is indeed a systematic name so I've removed it for now

← Older revision		Revision as of 07:28, 25 January 2025
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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~~]] ~~(an~~ [[~~apotome]] above [[19~~/16]] lowered by [[5/~~4]]). Their difference is small enough that [[sagittal~~]] accidentals equate the 13-comma with 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]].

	~~Alternatively~~, the 65/19 atom is the ~~difference between~~ the ~~pythagorean~~ comma [[~~pythagorean~~ comma~~\|3<sup>12<~~/~~sup>~~/~~2<sup>~~19</~~sup>~~]] ~~raised~~ by [[~~513~~/~~512~~]] and the ~~wilsorma~~ [[65/64]].		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\|size=4em\| /\|\|\| }}P5}}) accrues this 0.0033{{cc}} error.

	[[Category:Commas named systematically]]		[[Category:Commas named systematically]]
	~~[[Category:Commas with unknown etymology]]~~

BudjarnLambeth at 02:29, 16 November 2024

2024-11-16T02:29:14Z

← Older revision		Revision as of 02:29, 16 November 2024
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	Alternatively, the 65/19 atom is the difference between the pythagorean comma [[pythagorean comma\|3<sup>12</sup>/2<sup>19</sup>]] raised by [[513/512]] and the wilsorma [[65/64]].		Alternatively, the 65/19 atom is the difference between the pythagorean comma [[pythagorean comma\|3<sup>12</sup>/2<sup>19</sup>]] raised by [[513/512]] and the wilsorma [[65/64]].

			[[Category:Commas named systematically]]
			[[Category:Commas with unknown etymology]]

Recentlymaterialized: oops

2024-11-04T06:30:50Z

oops

← Older revision		Revision as of 06:30, 4 November 2024
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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]] (an [[apotome]] above [[19/16]] lowered by [[5/4]]). Their difference is small enough that [[sagittal]] accidentals equate the 13-comma with 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.		'''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]] (an [[apotome]] above [[19/16]] lowered by [[5/4]]). Their difference is small enough that [[sagittal]] accidentals equate the 13-comma with 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.

	Alternatively, the 65/19 atom is the difference between the ~~1/19 ~~comma ~~[[19683/19456]] (~~[[pythagorean comma\|3<sup>12</sup>/2<sup>19</sup>]] ~~lowered~~ by [[513/512]]) and the wilsorma [[65/64]].		Alternatively, the 65/19 atom is the difference between the pythagorean comma [[pythagorean comma\|3<sup>12</sup>/2<sup>19</sup>]] raised by [[513/512]] and the wilsorma [[65/64]].

Recentlymaterialized at 06:24, 4 November 2024

2024-11-04T06:24:27Z

← Older revision		Revision as of 06:24, 4 November 2024
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	{{Infobox Interval		{{Infobox Interval
	\| ~~name~~ = 65/19 atom		\| Name = 65/19 atom
	\| Ratio = 272629760/272629233		\| Ratio = 272629760/272629233
	\| Color name = ss19u3oy2, sasa-nuthoyo 2nd		\| 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.		'''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]] (an [[apotome]] above [[19/16]] lowered by [[5/4]]). Their difference is small enough that [[sagittal]] accidentals equate the 13-comma with 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.

			Alternatively, the 65/19 atom is the difference between the 1/19 comma [[19683/19456]] ([[pythagorean comma\|3<sup>12</sup>/2<sup>19</sup>]] lowered by [[513/512]]) and the wilsorma [[65/64]].

BudjarnLambeth: BudjarnLambeth moved page 272629760/272629233 to 65/19 atom: Long comma name (I didn’t make the name 65/19 atom, it was already in the info box, just didn’t show up for some reason)

2024-11-04T05:33:00Z

BudjarnLambeth moved page 272629760/272629233 to 65/19 atom: Long comma name (I didn’t make the name 65/19 atom, it was already in the info box, just didn’t show up for some reason)

← Older revision	Revision as of 05:33, 4 November 2024
(No difference)

BudjarnLambeth at 05:32, 4 November 2024

2024-11-04T05:32:03Z

← Older revision		Revision as of 05:32, 4 November 2024
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	}}		}}

	'''272629233/272629760''' 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.		'''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.

Recentlymaterialized: Created page with "{{Infobox Interval | name = 65/19 atom | Ratio = 272629760/272629233 | Color name = ss19u3oy2, sasa-nuthoyo 2nd | Comma = yes }} '''272629233/272629760''' is an unnoticeable..."

2024-10-29T18:42:28Z

Created page with "{{Infobox Interval | name = 65/19 atom | Ratio = 272629760/272629233 | Color name = ss19u3oy2, sasa-nuthoyo 2nd | Comma = yes }} '''272629233/272629760''' is an unnoticeable..."

New page

{{Infobox Interval
| name = 65/19 atom
| Ratio = 272629760/272629233
| Color name = ss19u3oy2, sasa-nuthoyo 2nd
| Comma = yes
}}

'''272629233/272629760''' 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.