622edo - Revision history

Hotcrystal0: why “the”

2026-03-10T15:26:35Z

why “the”

← Older revision		Revision as of 15:26, 10 March 2026
Line 4:		Line 4:
	622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

	622edo has potential as an add-43 system, correcting ~~the~~ 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.		622edo has potential as an add-43 system, correcting 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=13}}		{{Harmonics in equal\|622\|columns=13}}
	{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}		{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}

Overthink: also this

2026-02-02T23:10:49Z

also this

← Older revision		Revision as of 23:10, 2 February 2026
Line 4:		Line 4:
	622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

	622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.		622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=13}}		{{Harmonics in equal\|622\|columns=13}}
	{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}		{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}

Overthink: /* Prime harmonics */ rework tables

2026-01-09T06:03:34Z

Prime harmonics: rework tables

← Older revision		Revision as of 06:03, 9 January 2026
Line 7:		Line 7:

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=14}}		{{Harmonics in equal\|622\|columns=13}}
			{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}

Francium: changed EDO intro to ED intro

2025-02-20T17:14:04Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:14, 20 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|622~~}}		{{ED intro}}

	622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

Eliora at 16:52, 14 February 2024

2024-02-14T16:52:13Z

← Older revision		Revision as of 16:52, 14 February 2024
Line 2:		Line 2:
	{{EDO intro\|622}}		{{EDO intro\|622}}

	622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]~~, which it doubles~~. In that regard, 622edo is a compound of two 311edos that don't intersect, and ~~hence~~ provides no new ~~interest to harmony~~ apart from what it doubles.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

	622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.		622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

Eliora: expand

2024-01-26T21:51:46Z

expand

← Older revision		Revision as of 21:51, 26 January 2024
Line 2:		Line 2:
	{{EDO intro\|622}}		{{EDO intro\|622}}

	As the ~~double of~~ [[311edo]] it provides ~~much needed correction~~ to ~~harmonics such~~ as the ~~43rd harmonic. However, its~~ [[~~consistency~~\|~~consistency limit~~]] is ~~drastically reduced compared to~~ 311edo.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]], which it doubles. In that regard, 622edo is a compound of two 311edos that don't intersect, and hence provides no new interest to harmony apart from what it doubles.

			622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=14}}		{{Harmonics in equal\|622\|columns=14}}

Eliora: /* Prime harmonics */

2024-01-26T21:42:35Z

Prime harmonics

← Older revision		Revision as of 21:42, 26 January 2024
Line 5:		Line 5:

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=12}}		{{Harmonics in equal\|622\|columns=14}}

FloraC: Section title

2023-10-25T07:56:13Z

Section title

← Older revision		Revision as of 07:56, 25 October 2023
Line 2:		Line 2:
	{{EDO intro\|622}}		{{EDO intro\|622}}

	== ~~Theory~~ ==		As the double of [[311edo]] it provides much needed correction to harmonics such as the 43rd harmonic. However, its [[consistency\|consistency limit]] is drastically reduced compared to 311edo.

			=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=12}}		{{Harmonics in equal\|622\|columns=12}}
	~~As the double of [[311edo]] it provides much needed correction to harmonics such as the 43rd harmonic, however, its consistency limit is drastically reduced compared to 311edo.~~

BudjarnLambeth at 06:41, 9 July 2023

2023-07-09T06:41:50Z

← Older revision		Revision as of 06:41, 9 July 2023
Line 1:		Line 1:
	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|622}}		{{EDO intro\|622}}

BudjarnLambeth at 05:37, 9 July 2023

2023-07-09T05:37:53Z

← Older revision		Revision as of 05:37, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|622}}		{{EDO intro\|622}}

← Older revision		Revision as of 15:26, 10 March 2026
Line 4:		Line 4:
	622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

	622edo has potential as an add-43 system, correcting ~~the~~ 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.		622edo has potential as an add-43 system, correcting 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=13}}		{{Harmonics in equal\|622\|columns=13}}
	{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}		{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}

← Older revision		Revision as of 23:10, 2 February 2026
Line 4:		Line 4:
	622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

	622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.		622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 1850/1849, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=13}}		{{Harmonics in equal\|622\|columns=13}}
	{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}		{{Harmonics in equal\|622\|start=14\|columns=13\|collapsed=1\|title=Approximation of prime harmonics in 622edo (continued)}}

← Older revision		Revision as of 16:52, 14 February 2024
Line 2:		Line 2:
	{{EDO intro\|622}}		{{EDO intro\|622}}

	622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]~~, which it doubles~~. In that regard, 622edo is a compound of two 311edos that don't intersect, and ~~hence~~ provides no new ~~interest to harmony~~ apart from what it doubles.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]]. In that regard, 622edo is a [[Compound scale\|compound]] of two 311edos that don't intersect, and provides barely anything new apart from most characteristics of what it doubles.

	622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.		622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

← Older revision		Revision as of 21:51, 26 January 2024
Line 2:		Line 2:
	{{EDO intro\|622}}		{{EDO intro\|622}}

	As the ~~double of~~ [[311edo]] it provides ~~much needed correction~~ to ~~harmonics such~~ as the ~~43rd harmonic. However, its~~ [[~~consistency~~\|~~consistency limit~~]] is ~~drastically reduced compared to~~ 311edo.		622edo is [[enfactoring\|enfactored]] in the 41-limit, having the same tuning as the highly notable [[311edo]], which it doubles. In that regard, 622edo is a compound of two 311edos that don't intersect, and hence provides no new interest to harmony apart from what it doubles.

			622edo has potential as an add-43 system, correcting the 311edo's mapping for [[43/32\|43]], which is the first harmonic not represented consistently by 311edo. Some 43-limit commas it tempers out are 1849/1848, 50000/49923, 59168/59049, 300125/299538, 6837602/6834375, 1048576/1048383.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|622\|columns=14}}		{{Harmonics in equal\|622\|columns=14}}