Talk:Chords of pajara - Revision history

FloraC: FloraC moved page User talk:Chords of pajara to Talk:Chords of pajara without leaving a redirect

2026-03-03T07:45:52Z

FloraC moved page User talk:Chords of pajara to Talk:Chords of pajara without leaving a redirect

← Older revision	Revision as of 07:45, 3 March 2026
(No difference)

FloraC: FloraC moved page User talk:Overthink/Chords of pajara to User talk:Chords of pajara without leaving a redirect: Ready

2026-03-03T07:45:35Z

FloraC moved page User talk:Overthink/Chords of pajara to User talk:Chords of pajara without leaving a redirect: Ready

← Older revision	Revision as of 07:45, 3 March 2026
(No difference)

FloraC at 07:10, 25 February 2026

2026-02-25T07:10:36Z

← Older revision		Revision as of 07:10, 25 February 2026
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	:::: I think the chord types should also be prioritized by prime limits, so jubilismic > archytas > marvel > mothwellsmic > ptolemismic > pentacircle. The triad from stacking two 5/4's is more recognizable as a marvel triad than a valinorsmic one. The nullity-2 ones should still be jubilismic11 > ares > apollo > minerva.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 06:59, 25 February 2026 (UTC)		:::: I think the chord types should also be prioritized by prime limits, so jubilismic > archytas > marvel > mothwellsmic > ptolemismic > pentacircle. The triad from stacking two 5/4's is more recognizable as a marvel triad than a valinorsmic one. The nullity-2 ones should still be jubilismic11 > ares > apollo > minerva.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 06:59, 25 February 2026 (UTC)

			::::: This one sounds most agreeable! —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 07:09, 25 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

Overthink: /* Which chords exist */ new idea: prime limits

2026-02-25T06:59:36Z

Which chords exist: new idea: prime limits

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	:::::: Nevermind, it seems like no chords can be tempered by both marvel and pentacircle, so it doesn't really matter.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 05:53, 20 February 2026 (UTC)		:::::: Nevermind, it seems like no chords can be tempered by both marvel and pentacircle, so it doesn't really matter.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 05:53, 20 February 2026 (UTC)

			:::: I think the chord types should also be prioritized by prime limits, so jubilismic > archytas > marvel > mothwellsmic > ptolemismic > pentacircle. The triad from stacking two 5/4's is more recognizable as a marvel triad than a valinorsmic one. The nullity-2 ones should still be jubilismic11 > ares > apollo > minerva.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 06:59, 25 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

Overthink: nvm

2026-02-20T05:54:04Z

nvm

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	::::: I was just trying to make it fit; apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacircle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)		::::: I was just trying to make it fit; apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacircle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)

			:::::: Nevermind, it seems like no chords can be tempered by both marvel and pentacircle, so it doesn't really matter.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 05:53, 20 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

Overthink: /* Which chords exist */ fix typo

2026-02-18T23:29:13Z

Which chords exist: fix typo

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	:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)		:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)

	::::: I was just trying to make it fit; ~~Apollo~~ is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while ~~pentacitcle~~ has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)		::::: I was just trying to make it fit; apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacircle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

Overthink: /* Which chords exist */ slight fix

2026-02-18T23:26:40Z

Which chords exist: slight fix

← Older revision		Revision as of 23:26, 18 February 2026
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	:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)		:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)

	::::: I was just trying to make it fit; Apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.~~49369~~{{c}}, while pentacitcle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)		::::: I was just trying to make it fit; Apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacitcle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

Overthink: /* Which chords exist */ reply

2026-02-18T22:16:50Z

Which chords exist: reply

← Older revision		Revision as of 22:16, 18 February 2026
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	:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)		:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)

			::::: I was just trying to make it fit; Apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49369{{c}}, while pentacitcle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

FloraC: Re

2026-02-18T09:29:03Z

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	::: Changed my mind; maybe it should be marvel > pentacircle > valinorsmic > ptolemismic > archytas > jubilismic and apollo > minerva > ares > jubilismic11. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 23:34, 17 February 2026 (UTC)		::: Changed my mind; maybe it should be marvel > pentacircle > valinorsmic > ptolemismic > archytas > jubilismic and apollo > minerva > ares > jubilismic11. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 23:34, 17 February 2026 (UTC)

			:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

Overthink: /* Which chords exist */ this feels better

2026-02-17T23:34:40Z

Which chords exist: this feels better

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	::: How exactly should the types of chords be prioritized? I propose jubilismic > archytas > mothwellsmic > ptolemismic > valinorsmic > marvel > pentacircle, and jubilismic11 > ares > apollo > minerva. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 20:06, 16 February 2026 (UTC)		::: How exactly should the types of chords be prioritized? I propose jubilismic > archytas > mothwellsmic > ptolemismic > valinorsmic > marvel > pentacircle, and jubilismic11 > ares > apollo > minerva. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 20:06, 16 February 2026 (UTC)

			::: Changed my mind; maybe it should be marvel > pentacircle > valinorsmic > ptolemismic > archytas > jubilismic and apollo > minerva > ares > jubilismic11. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 23:34, 17 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

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	:::: I think the chord types should also be prioritized by prime limits, so jubilismic > archytas > marvel > mothwellsmic > ptolemismic > pentacircle. The triad from stacking two 5/4's is more recognizable as a marvel triad than a valinorsmic one. The nullity-2 ones should still be jubilismic11 > ares > apollo > minerva.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 06:59, 25 February 2026 (UTC)		:::: I think the chord types should also be prioritized by prime limits, so jubilismic > archytas > marvel > mothwellsmic > ptolemismic > pentacircle. The triad from stacking two 5/4's is more recognizable as a marvel triad than a valinorsmic one. The nullity-2 ones should still be jubilismic11 > ares > apollo > minerva.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 06:59, 25 February 2026 (UTC)

			::::: This one sounds most agreeable! —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 07:09, 25 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

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	:::::: Nevermind, it seems like no chords can be tempered by both marvel and pentacircle, so it doesn't really matter.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 05:53, 20 February 2026 (UTC)		:::::: Nevermind, it seems like no chords can be tempered by both marvel and pentacircle, so it doesn't really matter.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 05:53, 20 February 2026 (UTC)

			:::: I think the chord types should also be prioritized by prime limits, so jubilismic > archytas > marvel > mothwellsmic > ptolemismic > pentacircle. The triad from stacking two 5/4's is more recognizable as a marvel triad than a valinorsmic one. The nullity-2 ones should still be jubilismic11 > ares > apollo > minerva.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 06:59, 25 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

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	::::: I was just trying to make it fit; apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacircle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)		::::: I was just trying to make it fit; apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacircle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)

			:::::: Nevermind, it seems like no chords can be tempered by both marvel and pentacircle, so it doesn't really matter.--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 05:53, 20 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

← Older revision		Revision as of 23:29, 18 February 2026
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	:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)		:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)

	::::: I was just trying to make it fit; ~~Apollo~~ is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while ~~pentacitcle~~ has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)		::::: I was just trying to make it fit; apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacircle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)

← Older revision		Revision as of 23:26, 18 February 2026
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	:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)		:::: So the more accurate ones come first? I suppose this will get rid of jubilismic and ares entirely. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 09:28, 18 February 2026 (UTC)

	::::: I was just trying to make it fit; Apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.~~49369~~{{c}}, while pentacitcle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)		::::: I was just trying to make it fit; Apollo is actually higher damage than minerva, even though 100/99 is smaller than 99/98, but it wouldn't be obvious to the reader. But I guess having the less accurate ones come first makes sense. As for pentacircle vs marvel, it's right on the edge. Calculating TOP damage from (size in cents)/log_2(num * denom), marvel has a TOP damage of 0.49366{{c}}, while pentacitcle has a TOP damage of 0.49412{{c}}. The ordering might be different by metrics like minimum WE/CWE error. --[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 22:16, 18 February 2026 (UTC)

	: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)		: There are chords essentially tempered by rank-2 [[miracle]] in the 11-limit (see [[miracle chords]]). I've been wondering for a while, are there any chords essentially tempered by a rank-1 temperament? Even further, are there chords which could by considered dyadically consonant by [[fudging]], but tempering out all the corresponding commas is impossible without mapping everything to the unison?--[[User:Overthink\|Overthink]] ([[User talk:Overthink\|talk]]) 01:38, 1 February 2026 (UTC)