17100edo - Revision history

FloraC: Cleanup

2026-02-25T06:27:23Z

Cleanup

← Older revision		Revision as of 06:27, 25 February 2026
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	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}
	~~== Theory ==~~
	This ~~EDO~~'s step size is the relative cent of [[171edo]]. It notably provides the optimal patent val for 13-limit [[harmonisma\|harmonismic]] temperament, tempering out [[10648/10647]].		This edo's step size is the [[relative cent]] of [[171edo]], an excellent [[7-limit]] [[microtemperament]]. It also notably provides the [[optimal patent val]] for [[13-limit]] [[harmonisma\|harmonismic]] temperament, which [[tempering out\|tempers out]] [[10648/10647]].
	=== ~~Subsets and Supersets~~ ===
	Since 17100 = 2<sup>2</sup> * 3<sup>2</sup> * 5<sup>2</sup> * 19, it contains subset edos {{edos\| 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 150, 171, 180, 190, 225, 228, 285, 300, 342, 380, 450, 475, 570, 684, 855, 900, 950, 1140, 1425, 1710, 1900, 2850, 3420, 4275, 5700, and 8550.}}		=== Prime harmonics ===
	{{Harmonics in equal\|17100}}		{{Harmonics in equal\|17100}}

			=== Subsets and supersets ===
			Since 17100 factors into primes as {{nowrap\| 2<sup>2</sup> × 3<sup>2</sup> × 5<sup>2</sup> × 19 }}, 17100edo contains subset edos {{EDOs\| 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 150, 171, 180, 190, 225, 228, 285, 300, 342, 380, 450, 475, 570, 684, 855, 900, 950, 1140, 1425, 1710, 1900, 2850, 3420, 4275, 5700, and 8550 }}.

	[[Category:Harmonismic]]		[[Category:Harmonismic]]
	[[Category:171edo]]		[[Category:171edo]]

Overthink: Created page with "{{Infobox ET}} {{ED intro}} == Theory == This EDO's step size is the relative cent of 171edo. It notably provides the optimal patent val for 13-limit harmonismic temperament, tempering out 10648/10647. === Subsets and Supersets === Since 17100 = 2² * 3² * 5² * 19, it contains subset edos {{edos| 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 150, 171, 180, 190, 22..."

2025-09-22T05:59:33Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == This EDO's step size is the relative cent of 171edo. It notably provides the optimal patent val for 13-limit harmonismic temperament, tempering out 10648/10647. === Subsets and Supersets === Since 17100 = 22 * 32 * 52 * 19, it contains subset edos {{edos| 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 150, 171, 180, 190, 22..."

New page

{{Infobox ET}}
{{ED intro}}
== Theory ==
This EDO's step size is the relative cent of [[171edo]]. It notably provides the optimal patent val for 13-limit [[harmonisma|harmonismic]] temperament, tempering out [[10648/10647]].
=== Subsets and Supersets ===
Since 17100 = 22 * 32 * 52 * 19, it contains subset edos {{edos| 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 25, 30, 36, 38, 45, 50, 57, 60, 75, 76, 90, 95, 100, 114, 150, 171, 180, 190, 225, 228, 285, 300, 342, 380, 450, 475, 570, 684, 855, 900, 950, 1140, 1425, 1710, 1900, 2850, 3420, 4275, 5700, and 8550.}}
{{Harmonics in equal|17100}}

[[Category:Harmonismic]]
[[Category:171edo]]