2901533edo - Revision history

Godtone: readd info that was missing; note that distinct consistency

2026-03-24T03:38:41Z

readd info that was missing; note that distinct consistency

← Older revision		Revision as of 03:38, 24 March 2026
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	{{ED intro}}		{{ED intro}}

	Except for 8 barely in[[consistent]] interval pairs, 2901533edo is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being ~~includeable~~ to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit\|25-OPSL]], and is [[Consistency #Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.		As noted in the page on [[minimal consistent EDOs]], 2901533edo is the smallest edo to be [[consistent]] to every odd-limit from 79 to 131. Due to its extremely small step size, distinct consistency is a given, and its tuning properties are in fact a lot more exceptional: Except for 8 barely in[[consistent]] interval pairs, 2901533edo is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit\|25-OPSL]], and is [[Consistency #Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.

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

Godtone: why remove unbiased original research in favour of wrong information? the note at the top states it's "a topic of primarily mathematical interest", and its tuning properties w.r.t very large odd-limits are unparalleled afaik

2026-03-24T03:30:22Z

why remove unbiased original research in favour of wrong information? the note at the top states it's "a topic of primarily mathematical interest", and its tuning properties w.r.t very large odd-limits are unparalleled afaik

← Older revision		Revision as of 03:30, 24 March 2026
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	{{ED intro}}		{{ED intro}}

	~~2901533edo is the smallest edo to be~~ [[consistent]] in the 79-odd-limit, and ~~is consistent up~~ to ~~the 131~~-odd~~-limit~~. Because of its unusual consistency at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]].		Except for 8 barely in[[consistent]] interval pairs, 2901533edo is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit\|25-OPSL]], and is [[Consistency #Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|2901533\|columns=9}}		{{Harmonics in equal\|2901533\|columns=12}}
	{{Harmonics in equal\|2901533\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=13\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=9\|start=19\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=25\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=9\|start=28\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=37\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	~~Since~~ 2901533 ~~factors into primes as~~ {{~~nowrap\|~~ 433 × 6701 }}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.		{{Nowrap\|2901533 {{=}} 433 × 6701}}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.

FloraC: - crazy stuff

2025-12-26T19:46:09Z

- crazy stuff

← Older revision		Revision as of 19:46, 26 December 2025
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	{{ED intro}}		{{ED intro}}

	~~Except for 8 barely in~~[[consistent]] ~~interval pairs, 2901533edo is consistent~~ in the ~~137-prime-limited no-247's 255~~-odd-limit ~~(a total of 4067 interval pairs), with primes 151, 157, 163~~, ~~173, 181, 197~~ and ~~211 being includeable~~ to ~~that~~ odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit\|25-OPSL]], and is [[Consistency #Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.		2901533edo is the smallest edo to be [[consistent]] in the 79-odd-limit, and is consistent up to the 131-odd-limit. Because of its unusual consistency at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]].

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|2901533\|columns=12}}		{{Harmonics in equal\|2901533\|columns=9}}
	{{Harmonics in equal\|2901533\|columns=12\|start=13\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=12\|start=25\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=9\|start=19\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=12\|start=37\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=9\|start=28\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	{{~~Nowrap~~\|~~2901533 {{=}}~~ 433 × 6701}}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.		Since 2901533 factors into primes as {{nowrap\| 433 × 6701 }}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.

Overthink: link is in infobox

2025-12-25T14:14:32Z

link is in infobox

← Older revision		Revision as of 14:14, 25 December 2025
Line 6:		Line 6:
	{{ED intro}}		{{ED intro}}

	Except for 8 barely in[[consistent]] interval pairs, 2901533edo is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit\|25-OPSL]], and is [[Consistency #Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.		Except for 8 barely in[[consistent]] interval pairs, 2901533edo is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit\|25-OPSL]], and is [[Consistency #Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.

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

BudjarnLambeth: Mathematical interest

2025-08-10T22:07:44Z

Mathematical interest

← Older revision		Revision as of 22:07, 10 August 2025
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	{{~~Niche~~}}		{{Mathematical interest}}
	{{Infobox ET		{{Infobox ET
	\| Consistency=131		\| Consistency=131

FloraC: Mark as niche. Cleanup. Collapse the harmonics table

2025-07-31T14:35:33Z

Mark as niche. Cleanup. Collapse the harmonics table

← Older revision		Revision as of 14:35, 31 July 2025
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	{{Infobox ET\|Consistency=131\|Distinct consistency=131}}		{{Niche}}
			{{Infobox ET
			\| Consistency=131
			\| Distinct consistency=131
			}}
	{{ED intro}}		{{ED intro}}

	Except for 8 barely~~-inconsistent~~ interval pairs, it is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent ~~EDOs~~]]. Furthermore, it is consistent up to the ~~25-~~[[~~Odd~~ prime sum limit\|OPSL]], and is [[Consistency#Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.		Except for 8 barely in[[consistent]] interval pairs, 2901533edo is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit\|25-OPSL]], and is [[Consistency #Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|2901533\|columns=12}}		{{Harmonics in equal\|2901533\|columns=12}}
	{{Harmonics in equal\|2901533\|columns=12\|start=13\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=13\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=12\|start=25\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=25\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=12\|start=37\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=37\|collapsed=true\|title=Approximation of prime harmonics in 2901533edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	{{~~nowrap~~\|2901533 {{=}} 433 × 6701}}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.		{{Nowrap\|2901533 {{=}} 433 × 6701}}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.

ArrowHead294 at 13:00, 21 February 2025

2025-02-21T13:00:16Z

← Older revision		Revision as of 13:00, 21 February 2025
Line 11:		Line 11:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	2901533 = 433 × 6701, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.		{{nowrap\|2901533 {{=}} 433 × 6701}}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.

Francium: changed EDO intro to ED intro

2025-02-21T05:50:54Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:50, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET\|Consistency=131\|Distinct consistency=131}}		{{Infobox ET\|Consistency=131\|Distinct consistency=131}}
	{{~~EDO~~ intro~~\|2901533~~}}		{{ED intro}}

	Except for 8 barely-inconsistent interval pairs, it is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent EDOs]]. Furthermore, it is consistent up to the 25-[[Odd prime sum limit\|OPSL]], and is [[Consistency#Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.		Except for 8 barely-inconsistent interval pairs, it is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent EDOs]]. Furthermore, it is consistent up to the 25-[[Odd prime sum limit\|OPSL]], and is [[Consistency#Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.

FloraC: +subsets and supersets

2024-06-21T04:55:39Z

+subsets and supersets

← Older revision		Revision as of 04:55, 21 June 2024
Line 9:		Line 9:
	{{Harmonics in equal\|2901533\|columns=12\|start=25\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=25\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=12\|start=37\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=37\|title=Approximation of prime harmonics in 2901533edo (continued)}}

			=== Subsets and supersets ===
			2901533 = 433 × 6701, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets.

FloraC: Unify the length of each table

2024-06-19T11:38:56Z

Unify the length of each table

← Older revision		Revision as of 11:38, 19 June 2024
Line 1:		Line 1:
	{{Infobox ET\|Consistency=131\|Distinct consistency=131}}		{{Infobox ET\|Consistency=131\|Distinct consistency=131}}
	{{EDO intro\|2901533}}		{{EDO intro\|2901533}}

	Except for 8 barely-inconsistent interval pairs, it is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent EDOs]]. Furthermore, it is consistent up to the 25-[[Odd prime sum limit\|OPSL]], and is [[Consistency#Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.		Except for 8 barely-inconsistent interval pairs, it is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent EDOs]]. Furthermore, it is consistent up to the 25-[[Odd prime sum limit\|OPSL]], and is [[Consistency#Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.

	== ~~Theory~~ ==		=== Prime harmonics ===
	{{Harmonics in equal\|2901533\|columns=13}}		{{Harmonics in equal\|2901533\|columns=12}}
	{{Harmonics in equal\|2901533\|columns=11\|start=14\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=13\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=10\|start=25\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=25\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=12\|start=36\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=37\|title=Approximation of prime harmonics in 2901533edo (continued)}}

← Older revision		Revision as of 11:38, 19 June 2024
Line 1:		Line 1:
	{{Infobox ET\|Consistency=131\|Distinct consistency=131}}		{{Infobox ET\|Consistency=131\|Distinct consistency=131}}
	{{EDO intro\|2901533}}		{{EDO intro\|2901533}}

	Except for 8 barely-inconsistent interval pairs, it is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent EDOs]]. Furthermore, it is consistent up to the 25-[[Odd prime sum limit\|OPSL]], and is [[Consistency#Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.		Except for 8 barely-inconsistent interval pairs, it is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle [[edo]]" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent EDOs]]. Furthermore, it is consistent up to the 25-[[Odd prime sum limit\|OPSL]], and is [[Consistency#Consistency to distance d\|consistent to distance 4]] in the 16-OPSL.

	== ~~Theory~~ ==		=== Prime harmonics ===
	{{Harmonics in equal\|2901533\|columns=13}}		{{Harmonics in equal\|2901533\|columns=12}}
	{{Harmonics in equal\|2901533\|columns=11\|start=14\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=13\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=10\|start=25\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=25\|title=Approximation of prime harmonics in 2901533edo (continued)}}
	{{Harmonics in equal\|2901533\|columns=12\|start=36\|title=Approximation of prime harmonics in 2901533edo (continued)}}		{{Harmonics in equal\|2901533\|columns=12\|start=37\|title=Approximation of prime harmonics in 2901533edo (continued)}}