Jackpot comma - Revision history

FloraC: There's no jackpot temp. Tempering out this comma produces 7et

2026-05-29T11:36:46Z

There's no jackpot temp. Tempering out this comma produces 7et

← Older revision		Revision as of 11:36, 29 May 2026
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\|Ratio = 17249876309/17179869184		\| Ratio = 17249876309/17179869184
	\|Name = jackpot comma		\| Name = jackpot comma, 7-29-comma
	\|Comma = yes		\| Comma = yes
	}}		}}
	~~Jackpot~~ comma is the difference between a stack of 7 [[29/16]] and 6 [[2/1]] (alternatively, between a stack of 7 [[32/29]] and an octave). ~~Equal divisions that are not multiples of 7 cannot temper it out.~~		The '''jackpot comma''' ([[monzo]]: 2.29 {{monzo\| -34 7 }}, [[ratio]]: 17 249 876 309 / 17 179 869 184), systematically the '''7-29-comma''', is the difference between a stack of seven [[29/16]]'s and six [[2/1\|octaves]] (alternatively, between a stack of seven [[32/29]]'s and an octave).

	== Temperaments ==		== Temperaments ==
	Tempering it out ~~produces the [[jackpot~~]] ~~temperament, which sets 29th harmonic (~~octave~~-reduced)~~ to ~~be represented by~~ 6\7.		[[Tempering out]] this comma splits the octave into 7 equal parts and maps 29/16 to 6\7.

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

Lucius Chiaraviglio: Another way of looking at it

2026-05-29T05:45:28Z

Another way of looking at it

← Older revision		Revision as of 05:45, 29 May 2026
Line 4:		Line 4:
	\|Comma = yes		\|Comma = yes
	}}		}}
	Jackpot comma is the difference between a stack of 7 [[29/16]] and 6 [[2/1]]. Equal divisions that are not multiples of 7 cannot temper it out.		Jackpot comma is the difference between a stack of 7 [[29/16]] and 6 [[2/1]] (alternatively, between a stack of 7 [[32/29]] and an octave). Equal divisions that are not multiples of 7 cannot temper it out.
	== Temperaments ==		== Temperaments ==
	Tempering it out produces the [[jackpot]] temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.		Tempering it out produces the [[jackpot]] temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.

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

BudjarnLambeth at 01:40, 16 November 2024

2024-11-16T01:40:17Z

← Older revision		Revision as of 01:40, 16 November 2024
Line 7:		Line 7:
	== Temperaments ==		== Temperaments ==
	Tempering it out produces the [[jackpot]] temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.		Tempering it out produces the [[jackpot]] temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.

			[[Category:Commas with unknown etymology]]

Eliora: Created page with "{{Infobox Interval |Ratio = 17249876309/17179869184 |Name = jackpot comma |Comma = yes }} Jackpot comma is the difference between a stack of 7 29/16 and 6 2/1. Equal d..."

2024-08-19T19:05:33Z

Created page with "{{Infobox Interval |Ratio = 17249876309/17179869184 |Name = jackpot comma |Comma = yes }} Jackpot comma is the difference between a stack of 7 29/16 and 6 2/1. Equal d..."

New page

{{Infobox Interval
|Ratio = 17249876309/17179869184
|Name = jackpot comma
|Comma = yes
}}
Jackpot comma is the difference between a stack of 7 [[29/16]] and 6 [[2/1]]. Equal divisions that are not multiples of 7 cannot temper it out.
== Temperaments ==
Tempering it out produces the [[jackpot]] temperament, which sets 29th harmonic (octave-reduced) to be represented by 6\7.