1957edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-20T17:18:40Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:18, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1957~~}}		{{ED intro}}

	1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].		1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].

FloraC: Cleanup

2025-01-17T16:51:12Z

Cleanup

← Older revision		Revision as of 16:51, 17 January 2025
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	1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].		1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].

	In terms of [[regular temperament]]s, as a multiple of 19, it [[tempers out]] the [[enneadeca]], equating [[6/5]] to 5 steps of [[19edo]], while in the 2.5.7 subgroup it tempers out ~~281484423828125/281474976710656 (~~{{monzo\|-48 0 11 8 }}), supporting [[~~rainy-didacus~~ equivalence continuum#~~exodia~~\|exodia]], the subgroup restriction of [[mohajira]]. It also inherits its mapping of [[10/7]] from [[103edo]] (which is a convergent), and equates six of this interval to [[17/2]], thereby tempering out S49/S50 = [[2000033/2000000]].		In terms of [[regular temperament]]s, as a multiple of 19, it [[tempering out\|tempers out]] the [[enneadeca]], equating [[6/5]] to 5 steps of [[19edo]], while in the 2.5.7 subgroup it tempers out {{monzo\|-48 0 11 8 }}, supporting [[rainy–didacus equivalence continuum #Exodia\|exodia]], the subgroup restriction of [[mohajira]]. It also inherits its mapping of [[10/7]] from [[103edo]] (which is a convergent), and equates six of this interval to [[17/2]], thereby tempering out S49/S50 = [[2000033/2000000]].

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1957}}		{{Harmonics in equal\|1957}}

BudjarnLambeth: -stub; already long enough for the subject matter

2024-12-25T19:01:22Z

-stub; already long enough for the subject matter

← Older revision		Revision as of 19:01, 25 December 2024
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	1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].		1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].

	In terms of regular ~~temperaments~~, as a multiple of 19, it tempers out the [[enneadeca]], equating [[6/5]] to 5 steps of [[19edo]], while in the 2.5.7 subgroup it tempers out 281484423828125/281474976710656 ({{monzo\|-48 0 11 8 }}), supporting [[rainy-didacus equivalence continuum#exodia\|exodia]], the subgroup restriction of [[mohajira]]. It also inherits its mapping of [[10/7]] from [[103edo]] (which is a convergent), and equates six of this interval to [[17/2]], thereby tempering out S49/S50 = [[2000033/2000000]].		In terms of [[regular temperament]]s, as a multiple of 19, it [[tempers out]] the [[enneadeca]], equating [[6/5]] to 5 steps of [[19edo]], while in the 2.5.7 subgroup it tempers out 281484423828125/281474976710656 ({{monzo\|-48 0 11 8 }}), supporting [[rainy-didacus equivalence continuum#exodia\|exodia]], the subgroup restriction of [[mohajira]]. It also inherits its mapping of [[10/7]] from [[103edo]] (which is a convergent), and equates six of this interval to [[17/2]], thereby tempering out S49/S50 = [[2000033/2000000]].

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|1957}}		{{Harmonics in equal\|1957}}

	~~{{stub}}~~

Lériendil: added RT details

2024-10-24T05:25:47Z

added RT details

← Older revision		Revision as of 05:25, 24 October 2024
Line 3:		Line 3:

	1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].		1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].

			In terms of regular temperaments, as a multiple of 19, it tempers out the [[enneadeca]], equating [[6/5]] to 5 steps of [[19edo]], while in the 2.5.7 subgroup it tempers out 281484423828125/281474976710656 ({{monzo\|-48 0 11 8 }}), supporting [[rainy-didacus equivalence continuum#exodia\|exodia]], the subgroup restriction of [[mohajira]]. It also inherits its mapping of [[10/7]] from [[103edo]] (which is a convergent), and equates six of this interval to [[17/2]], thereby tempering out S49/S50 = [[2000033/2000000]].

	=== Odd harmonics ===		=== Odd harmonics ===

Lériendil: Created page with "{{Infobox ET}} {{EDO intro|1957}} 1957edo is notable for an extremely good approximation of the 2.5.7 subgroup. === Odd harmonics === {{Harmonics in equal|1957}} {{stub}}"

2024-10-24T05:14:23Z

Created page with "{{Infobox ET}} {{EDO intro|1957}} 1957edo is notable for an extremely good approximation of the 2.5.7 subgroup. === Odd harmonics === {{Harmonics in equal|1957}} {{stub}}"

New page

{{Infobox ET}}
{{EDO intro|1957}}

1957edo is notable for an extremely good approximation of the [[2.5.7 subgroup]].

=== Odd harmonics ===
{{Harmonics in equal|1957}}

{{stub}}