1590edo - Revision history

Francium: changed EDO intro to ED intro

2025-02-21T05:43:29Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:43, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1590~~}}		{{ED intro}}

	1590edo is consistent in the [[9-odd-limit]].		1590edo is consistent in the [[9-odd-limit]].

Eliora at 20:14, 29 July 2024

2024-07-29T20:14:57Z

← Older revision		Revision as of 20:14, 29 July 2024
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	Aside from this, it is a strong 2.3.5.17.29.31 subgroup tuning. A comma basis for this subgroup is {128061/128000, 1966113/1965200, 11337408/11328125, 12115968/12109375, 81310473/81264640}. It can also be used with the 2.3.5.13/7.17.29.31 fractional subgroup, having a strong approximation of [[13/7]]. There it tempers out 4901/4900.		Aside from this, it is a strong 2.3.5.17.29.31 subgroup tuning. A comma basis for this subgroup is {128061/128000, 1966113/1965200, 11337408/11328125, 12115968/12109375, 81310473/81264640}. It can also be used with the 2.3.5.13/7.17.29.31 fractional subgroup, having a strong approximation of [[13/7]]. There it tempers out 4901/4900.

			1590edo is also the last tuning system to have the same mapping for 11 as 159edo, and hence it is the largest multiple of 159 tempering out the [[frameshift comma]] and [[nexus comma]] together.

	=== Prime harmonics ===		=== Prime harmonics ===

Eliora at 20:57, 14 December 2023

2023-12-14T20:57:09Z

← Older revision		Revision as of 20:57, 14 December 2023
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|1590}}		{{Harmonics in equal\|1590}}

			=== Subsets and supersets ===
			Since 1590edo factors as {{Factorization\|1590}}, it has subset edos {{EDOs\|1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795}}.

Eliora at 20:50, 14 December 2023

2023-12-14T20:50:22Z

← Older revision		Revision as of 20:50, 14 December 2023
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	{{EDO intro\|1590}}		{{EDO intro\|1590}}

	1590edo is consistent in the [[9-odd-limit]]. Aside from ~~that~~, it is a strong 2.3.17~~/10~~.7.~~11.13~~.19 subgroup ~~tuning~~. It ~~shares~~ the 2.3.~~11 mapping with~~ [[~~159edo~~]]~~, step of which~~ it ~~divides in 10~~.		1590edo is consistent in the [[9-odd-limit]].

			Aside from this, it is a strong 2.3.5.17.29.31 subgroup tuning. A comma basis for this subgroup is {128061/128000, 1966113/1965200, 11337408/11328125, 12115968/12109375, 81310473/81264640}. It can also be used with the 2.3.5.13/7.17.29.31 fractional subgroup, having a strong approximation of [[13/7]]. There it tempers out 4901/4900.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|1590}}		{{Harmonics in equal\|1590}}

Aura at 20:48, 14 December 2023

2023-12-14T20:48:41Z

← Older revision		Revision as of 20:48, 14 December 2023
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|~~15900~~}}		{{Harmonics in equal\|1590}}

Eliora: rework

2023-12-14T20:44:40Z

rework

← Older revision		Revision as of 20:44, 14 December 2023
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	{{EDO intro\|1590}}		{{EDO intro\|1590}}

	~~== Theory ==~~		1590edo is consistent in the [[9-odd-limit]]. Aside from that, it is a strong 2.3.17/10.7.11.13.19 subgroup tuning. It shares the 2.3.11 mapping with [[159edo]], step of which it divides in 10.
	1590edo ~~divides~~ the ~~steps of 159edo into 10, but unfortunately~~, it ~~only has~~ a ~~consistency limit~~ of 9.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|15900}}		{{Harmonics in equal\|15900}}

Aura: Created page with "{{Infobox ET}} {{EDO intro|1590}} == Theory == 1590edo divides the steps of 159edo into 10, but unfortunately, it only has a consistency limit of 9. === Prime harmonics ===..."

2023-12-14T15:27:59Z

Created page with "{{Infobox ET}} {{EDO intro|1590}} == Theory == 1590edo divides the steps of 159edo into 10, but unfortunately, it only has a consistency limit of 9. === Prime harmonics ===..."

New page

{{Infobox ET}}
{{EDO intro|1590}}

== Theory ==
1590edo divides the steps of 159edo into 10, but unfortunately, it only has a consistency limit of 9.

=== Prime harmonics ===
{{Harmonics in equal|15900}}