Template talk:Harmonics in equal - Revision history

Overthink: /* Parameter input */ new section

2026-03-15T04:57:25Z

Parameter input: new section

← Older revision		Revision as of 04:57, 15 March 2026
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	::: From the template's documentation: "By default, edos get primes if they are consistent for the odd harmonics up to 21, otherwise they get odds." And indeed, 121edo is not consistent up to the [[21-odd-limit]]; I edited the subheading on the 121edo page to reflect that. In general, the "harmonics in equal" table does not assume the reader wants to use a regular mapping, and instead shows how well the tuning system is capable of [[direct approximation\|approximating]] every given harmonic. When the tuning consistent up to the 21-odd-limit, you can calculate the odds up to 21 yourself by stacking the primes, hence you only need the table of primes. Otherwise, the odds table shows you how they don't exactly add up, so you can figure out how you want to work with that feature. --[[User:Fredg999\|Fredg999]] ([[User talk:Fredg999\|talk]]) 15:43, 24 June 2025 (UTC)		::: From the template's documentation: "By default, edos get primes if they are consistent for the odd harmonics up to 21, otherwise they get odds." And indeed, 121edo is not consistent up to the [[21-odd-limit]]; I edited the subheading on the 121edo page to reflect that. In general, the "harmonics in equal" table does not assume the reader wants to use a regular mapping, and instead shows how well the tuning system is capable of [[direct approximation\|approximating]] every given harmonic. When the tuning consistent up to the 21-odd-limit, you can calculate the odds up to 21 yourself by stacking the primes, hence you only need the table of primes. Otherwise, the odds table shows you how they don't exactly add up, so you can figure out how you want to work with that feature. --[[User:Fredg999\|Fredg999]] ([[User talk:Fredg999\|talk]]) 15:43, 24 June 2025 (UTC)

			== Parameter input ==

			This template should be changed to default off of the page title, like in [[Template:ED intro]] and [[Template:Infobox ET]], instead of always requiring manual input. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 04:57, 15 March 2026 (UTC)

Fredg999: Back up discussion from "Module talk:Primes in edo" before its deletion

2025-07-30T04:51:05Z

Back up discussion from "Module talk:Primes in edo" before its deletion

← Older revision		Revision as of 04:51, 30 July 2025
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			== Fifthspan ==
			''(moved from "Module talk:Primes in edo" before its deletion)''

			I plan to add a fifthspan row in the near future (only to EDOs where it is unique). I tend to making it an option, so there will be a parameter that has to set. --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 12:17, 4 July 2021 (UTC)

	== 21st harmonic in 121edo ==		== 21st harmonic in 121edo ==
	From prime harmonics part (it shows odd harmonics somehow) of [[121edo#Theory]] its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 11:51, 24 June 2025 (UTC)		From prime harmonics part (it shows odd harmonics somehow) of [[121edo#Theory]] its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 11:51, 24 June 2025 (UTC)

Fredg999: Add heading, reply

2025-06-24T15:43:19Z

Add heading, reply

← Older revision		Revision as of 15:43, 24 June 2025
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			== 21st harmonic in 121edo ==
	From prime harmonics part (it shows odd harmonics somehow) of [[121edo#Theory]] its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 11:51, 24 June 2025 (UTC)		From prime harmonics part (it shows odd harmonics somehow) of [[121edo#Theory]] its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 11:51, 24 June 2025 (UTC)

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	::kinda misleading though. considering there are different temperaments in one single chart. [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 13:32, 24 June 2025 (UTC)		::kinda misleading though. considering there are different temperaments in one single chart. [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 13:32, 24 June 2025 (UTC)

			::: From the template's documentation: "By default, edos get primes if they are consistent for the odd harmonics up to 21, otherwise they get odds." And indeed, 121edo is not consistent up to the [[21-odd-limit]]; I edited the subheading on the 121edo page to reflect that. In general, the "harmonics in equal" table does not assume the reader wants to use a regular mapping, and instead shows how well the tuning system is capable of [[direct approximation\|approximating]] every given harmonic. When the tuning consistent up to the 21-odd-limit, you can calculate the odds up to 21 yourself by stacking the primes, hence you only need the table of primes. Otherwise, the odds table shows you how they don't exactly add up, so you can figure out how you want to work with that feature. --[[User:Fredg999\|Fredg999]] ([[User talk:Fredg999\|talk]]) 15:43, 24 June 2025 (UTC)

FilterNashi at 13:32, 24 June 2025

2025-06-24T13:32:52Z

← Older revision		Revision as of 13:32, 24 June 2025
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	: When that table displays composite odd harmonics, it maps them by direct approximation rather than by patent val. In 121edo, the patent val mapping (adding up 3 and 7) is over 50% off for odd 21, and therefore the direct approximation (best) mapping for 21 is different. -- [[User:Lériendil\|Lériendil]] ([[User talk:Lériendil\|talk]]) 12:51, 24 June 2025 (UTC)		: When that table displays composite odd harmonics, it maps them by direct approximation rather than by patent val. In 121edo, the patent val mapping (adding up 3 and 7) is over 50% off for odd 21, and therefore the direct approximation (best) mapping for 21 is different. -- [[User:Lériendil\|Lériendil]] ([[User talk:Lériendil\|talk]]) 12:51, 24 June 2025 (UTC)

	::kinda misleading though. considering there are different temperaments in one single chart.		::kinda misleading though. considering there are different temperaments in one single chart. [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 13:32, 24 June 2025 (UTC)

FilterNashi at 13:32, 24 June 2025

2025-06-24T13:32:28Z

← Older revision		Revision as of 13:32, 24 June 2025
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	: When that table displays composite odd harmonics, it maps them by direct approximation rather than by patent val. In 121edo, the patent val mapping (adding up 3 and 7) is over 50% off for odd 21, and therefore the direct approximation (best) mapping for 21 is different. -- [[User:Lériendil\|Lériendil]] ([[User talk:Lériendil\|talk]]) 12:51, 24 June 2025 (UTC)		: When that table displays composite odd harmonics, it maps them by direct approximation rather than by patent val. In 121edo, the patent val mapping (adding up 3 and 7) is over 50% off for odd 21, and therefore the direct approximation (best) mapping for 21 is different. -- [[User:Lériendil\|Lériendil]] ([[User talk:Lériendil\|talk]]) 12:51, 24 June 2025 (UTC)

			::kinda misleading though. considering there are different temperaments in one single chart.

Lériendil at 12:51, 24 June 2025

2025-06-24T12:51:59Z

← Older revision		Revision as of 12:51, 24 June 2025
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	From prime harmonics part (it shows odd harmonics somehow) of [[121edo#Theory]] its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 11:51, 24 June 2025 (UTC)		From prime harmonics part (it shows odd harmonics somehow) of [[121edo#Theory]] its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? [[User:FilterNashi\|FilterNashi]] ([[User talk:FilterNashi\|talk]]) 11:51, 24 June 2025 (UTC)

			: When that table displays composite odd harmonics, it maps them by direct approximation rather than by patent val. In 121edo, the patent val mapping (adding up 3 and 7) is over 50% off for odd 21, and therefore the direct approximation (best) mapping for 21 is different. -- [[User:Lériendil\|Lériendil]] ([[User talk:Lériendil\|talk]]) 12:51, 24 June 2025 (UTC)

FilterNashi: Created page with "From prime harmonics part (it shows odd harmonics somehow) of 121edo#Theory its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? ~~~~"

2025-06-24T11:51:15Z

Created page with "From prime harmonics part (it shows odd harmonics somehow) of 121edo#Theory its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? ~~~~"

New page

From prime harmonics part (it shows odd harmonics somehow) of [[121edo#Theory]] its steps of 21st harmonic is not by adding 3 and 7, was this on purpose?? [[User:FilterNashi|FilterNashi]] ([[User talk:FilterNashi|talk]]) 11:51, 24 June 2025 (UTC)