Talk:Minimal consistent EDOs - Revision history

Currywurst44: Changes applied

2026-09-23T21:26:33Z

Changes applied

← Older revision		Revision as of 21:26, 23 September 2026
Line 18:		Line 18:
	== Link first mention of each edo in every collumn ==		== Link first mention of each edo in every collumn ==
	It is slightly unintuitive having to check all collumns instead of only the one you are interested in to find the link. Was the edit done in an automated way? Otherwise I will change it when I have time. [[User:Currywurst44\|Currywurst44]] ([[User talk:Currywurst44\|talk]]) 17:15, 23 September 2026 (UTC)		It is slightly unintuitive having to check all collumns instead of only the one you are interested in to find the link. Was the edit done in an automated way? Otherwise I will change it when I have time. [[User:Currywurst44\|Currywurst44]] ([[User talk:Currywurst44\|talk]]) 17:15, 23 September 2026 (UTC)
			: Changes applied [[User:Currywurst44\|Currywurst44]] ([[User talk:Currywurst44\|talk]]) 21:26, 23 September 2026 (UTC)

Currywurst44: Suggest linking the first mention of each edo in every column

2026-09-23T17:15:47Z

Suggest linking the first mention of each edo in every column

← Older revision		Revision as of 17:15, 23 September 2026
Line 15:		Line 15:

	:: Thank you FloraC :) --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 22:29, 10 September 2026 (UTC)		:: Thank you FloraC :) --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 22:29, 10 September 2026 (UTC)

			== Link first mention of each edo in every collumn ==
			It is slightly unintuitive having to check all collumns instead of only the one you are interested in to find the link. Was the edit done in an automated way? Otherwise I will change it when I have time. [[User:Currywurst44\|Currywurst44]] ([[User talk:Currywurst44\|talk]]) 17:15, 23 September 2026 (UTC)

BudjarnLambeth: /* Which names are idiosyncratic here? */ said thanks

2026-09-10T22:29:17Z

Which names are idiosyncratic here?: said thanks

← Older revision		Revision as of 22:29, 10 September 2026
Line 13:		Line 13:

	: User: ArrowHead294 coined the idiosyncratic term ''purely consistent''. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:46, 9 September 2026 (UTC)		: User: ArrowHead294 coined the idiosyncratic term ''purely consistent''. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:46, 9 September 2026 (UTC)

			:: Thank you FloraC :) --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 22:29, 10 September 2026 (UTC)

Godtone: /* The limits of indistinct consistency */

2026-09-10T17:37:50Z

The limits of indistinct consistency

← Older revision		Revision as of 17:37, 10 September 2026
Line 7:		Line 7:
	Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)		Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)

	: You are right ~~though~~ that a high consistency limit may not be achievable until a very large EDO, thus always requiring distinct consistency (at least after a certain point) if the minimum EDO needed is large enough. Therefore, you have potentially made a valuable observation: there is a finite number of EDOs that are ''not'' distinctly consistent for a given odd-limit (or more generally, a set of target intervals). Based on this idea I added the function {{nowrap\| <code>efficient_edos( ivs, inconsistencies{{=}}0, min_simplifications{{=}}1, edos{{=}}range(1,1000) )</code> }} in {{nowrap\| [[User:Godtone#My Python 3 code]]. }} {{nowrap\| --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 17:35, 10 September 2026 (UTC) }}		: You are right that a high consistency limit may not be achievable until a very large EDO, thus always requiring distinct consistency (at least after a certain point) if the minimum EDO needed is large enough. Therefore, you have potentially made a valuable observation: there is a finite number of EDOs that are ''not'' distinctly consistent for a given odd-limit (or more generally, a set of target intervals). Based on this idea I added the function {{nowrap\| <code>efficient_edos( ivs, inconsistencies{{=}}0, min_simplifications{{=}}1, edos{{=}}range(1,1000) )</code> }} in {{nowrap\| [[User:Godtone#My Python 3 code]]. }} {{nowrap\| --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 17:35, 10 September 2026 (UTC) }}

	== Which names are idiosyncratic here? ==		== Which names are idiosyncratic here? ==

Godtone: /* The limits of indistinct consistency */ correction

2026-09-10T17:37:29Z

The limits of indistinct consistency: correction

← Older revision		Revision as of 17:37, 10 September 2026
Line 7:		Line 7:
	Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)		Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)

	: ~~There should be an infinite number of EDOs with a higher consistency limit than distinct consistency limit, though I don't know anything about rarity of high consistency limits.~~ You are right though that a high consistency limit may not be achievable until a very large EDO, thus always requiring distinct consistency (at least after a certain point) if the minimum EDO needed is large enough. Therefore, you have potentially made a valuable observation: there is a finite number of EDOs that are ''not'' distinctly consistent for a given odd-limit (or more generally, a set of target intervals). Based on this idea I added the function {{nowrap\| <code>efficient_edos( ivs, inconsistencies{{=}}0, min_simplifications{{=}}1, edos{{=}}range(1,1000) )</code> }} in {{nowrap\| [[User:Godtone#My Python 3 code]]. }} {{nowrap\| --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 17:35, 10 September 2026 (UTC) }}		: You are right though that a high consistency limit may not be achievable until a very large EDO, thus always requiring distinct consistency (at least after a certain point) if the minimum EDO needed is large enough. Therefore, you have potentially made a valuable observation: there is a finite number of EDOs that are ''not'' distinctly consistent for a given odd-limit (or more generally, a set of target intervals). Based on this idea I added the function {{nowrap\| <code>efficient_edos( ivs, inconsistencies{{=}}0, min_simplifications{{=}}1, edos{{=}}range(1,1000) )</code> }} in {{nowrap\| [[User:Godtone#My Python 3 code]]. }} {{nowrap\| --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 17:35, 10 September 2026 (UTC) }}

	== Which names are idiosyncratic here? ==		== Which names are idiosyncratic here? ==

Godtone: note on consistency

2026-09-10T17:36:06Z

note on consistency

← Older revision		Revision as of 17:36, 10 September 2026
Line 6:		Line 6:
	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 19, 22, 26, 27, 29, 31, 41, 46, 50, 58, 72, 80, 87, 94, 111, 121, 217, 282, 311, 388.		1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 19, 22, 26, 27, 29, 31, 41, 46, 50, 58, 72, 80, 87, 94, 111, 121, 217, 282, 311, 388.
	Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)		Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)

			: There should be an infinite number of EDOs with a higher consistency limit than distinct consistency limit, though I don't know anything about rarity of high consistency limits. You are right though that a high consistency limit may not be achievable until a very large EDO, thus always requiring distinct consistency (at least after a certain point) if the minimum EDO needed is large enough. Therefore, you have potentially made a valuable observation: there is a finite number of EDOs that are ''not'' distinctly consistent for a given odd-limit (or more generally, a set of target intervals). Based on this idea I added the function {{nowrap\| <code>efficient_edos( ivs, inconsistencies{{=}}0, min_simplifications{{=}}1, edos{{=}}range(1,1000) )</code> }} in {{nowrap\| [[User:Godtone#My Python 3 code]]. }} {{nowrap\| --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 17:35, 10 September 2026 (UTC) }}

	== Which names are idiosyncratic here? ==		== Which names are idiosyncratic here? ==

FloraC at 08:46, 9 September 2026

2026-09-09T08:46:31Z

← Older revision		Revision as of 08:46, 9 September 2026
Line 9:		Line 9:
	== Which names are idiosyncratic here? ==		== Which names are idiosyncratic here? ==
	Which of the terms on this page are 'mainstream' and which ones are 'idiosyncratic' (and who are the terms attributed to)? --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 08:06, 9 September 2026 (UTC)		Which of the terms on this page are 'mainstream' and which ones are 'idiosyncratic' (and who are the terms attributed to)? --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 08:06, 9 September 2026 (UTC)
	~~{{todo~~\|~~attribute names}}~~
			: User: ArrowHead294 coined the idiosyncratic term ''purely consistent''. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:46, 9 September 2026 (UTC)

BudjarnLambeth: /* Which names are idiosyncratic here? */

2026-09-09T08:20:47Z

Which names are idiosyncratic here?

← Older revision		Revision as of 08:20, 9 September 2026
Line 9:		Line 9:
	== Which names are idiosyncratic here? ==		== Which names are idiosyncratic here? ==
	Which of the terms on this page are 'mainstream' and which ones are 'idiosyncratic' (and who are the terms attributed to)? --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 08:06, 9 September 2026 (UTC)		Which of the terms on this page are 'mainstream' and which ones are 'idiosyncratic' (and who are the terms attributed to)? --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 08:06, 9 September 2026 (UTC)
			{{todo\|attribute names}}

BudjarnLambeth: ask question about idiosyncratic mbox

2026-09-09T08:06:14Z

ask question about idiosyncratic mbox

← Older revision		Revision as of 08:06, 9 September 2026
Line 6:		Line 6:
	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 19, 22, 26, 27, 29, 31, 41, 46, 50, 58, 72, 80, 87, 94, 111, 121, 217, 282, 311, 388.		1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 19, 22, 26, 27, 29, 31, 41, 46, 50, 58, 72, 80, 87, 94, 111, 121, 217, 282, 311, 388.
	Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)		Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)

			== Which names are idiosyncratic here? ==
			Which of the terms on this page are 'mainstream' and which ones are 'idiosyncratic' (and who are the terms attributed to)? --[[User:BudjarnLambeth\|BudjarnLambeth]] ([[User talk:BudjarnLambeth\|talk]]) 08:06, 9 September 2026 (UTC)

Iwuqety at 17:25, 21 November 2023

2023-11-21T17:25:07Z

← Older revision		Revision as of 17:25, 21 November 2023
Line 2:		Line 2:

	I note that all the edos here that are 5 digits or above have the same consistency and distinct consistency, as the number of steps to define different intervals increases faster than their ability to all line up in a well-tuned way. This implies that the number of edos that have a consistency greater than their distinct consistency is probably a finite number. Has anyone calculated what that number is and the highest edo that does this? --[[User:Yourmusic Productions\|Yourmusic Productions]] ([[User talk:Yourmusic Productions\|talk]]) 15:31, 13 October 2022 (UTC)		I note that all the edos here that are 5 digits or above have the same consistency and distinct consistency, as the number of steps to define different intervals increases faster than their ability to all line up in a well-tuned way. This implies that the number of edos that have a consistency greater than their distinct consistency is probably a finite number. Has anyone calculated what that number is and the highest edo that does this? --[[User:Yourmusic Productions\|Yourmusic Productions]] ([[User talk:Yourmusic Productions\|talk]]) 15:31, 13 October 2022 (UTC)

			I am not aware of any handy formula to calculate the consistency or distinct consistency of edos. However, after flipping through individual edo pages, I managed to gather 34 edos (<400) which have greater consistency than distinct consistency limits:
			1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 19, 22, 26, 27, 29, 31, 41, 46, 50, 58, 72, 80, 87, 94, 111, 121, 217, 282, 311, 388.
			Despite the lack of mathematical verification, I doubt there are any more such edos. [[User:Iwuqety\|Iywuqety]] ([[User talk:Iwuqety\|talk]]) 17:25, 21 November 2023 (UTC)