Talk:Mapping to lattice - Revision history

FloraC: re

2022-03-25T16:43:40Z

← Older revision		Revision as of 16:43, 25 March 2022
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	::: I agree it adds little value (possibly negative value), and so I support not including it in a temperament template. But I believe it's generally not a good idea to straight up delete information from the wiki that someone might find useful. So perhaps we could consider centralizing all the existing map-to-lattice information in one place? --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 16:38, 25 March 2022 (UTC)		::: I agree it adds little value (possibly negative value), and so I support not including it in a temperament template. But I believe it's generally not a good idea to straight up delete information from the wiki that someone might find useful. So perhaps we could consider centralizing all the existing map-to-lattice information in one place? --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 16:38, 25 March 2022 (UTC)

			:::: Right. [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 16:43, 25 March 2022 (UTC)

Cmloegcmluin at 16:38, 25 March 2022

2022-03-25T16:38:52Z

← Older revision		Revision as of 16:38, 25 March 2022
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	:: One theory is that it uses the Minkowski lattice basis, explained in the ''rank-3 temperament'' page. Still it's not fundamentally different from the mapping as we've discussed on Discord, so this piece of information is a little bit redundant without providing much insight. I remember a few of us have proposed removing it from the temp catalog pages. What do you think? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:18, 25 March 2022 (UTC)		:: One theory is that it uses the Minkowski lattice basis, explained in the ''rank-3 temperament'' page. Still it's not fundamentally different from the mapping as we've discussed on Discord, so this piece of information is a little bit redundant without providing much insight. I remember a few of us have proposed removing it from the temp catalog pages. What do you think? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:18, 25 March 2022 (UTC)

			::: I agree it adds little value (possibly negative value), and so I support not including it in a temperament template. But I believe it's generally not a good idea to straight up delete information from the wiki that someone might find useful. So perhaps we could consider centralizing all the existing map-to-lattice information in one place? --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 16:38, 25 March 2022 (UTC)

FloraC: /* Questions */

2022-03-25T12:18:09Z

Questions

← Older revision		Revision as of 12:18, 25 March 2022
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	: Not sure, sorry. I didn't come up with the concept and I'm not a fan of it. It just bothered me that it was never explained anywhere. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 04:27, 25 March 2022 (UTC)		: Not sure, sorry. I didn't come up with the concept and I'm not a fan of it. It just bothered me that it was never explained anywhere. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 04:27, 25 March 2022 (UTC)

			:: One theory is that it uses the Minkowski lattice basis, explained in the ''rank-3 temperament'' page. Still it's not fundamentally different from the mapping as we've discussed on Discord, so this piece of information is a little bit redundant without providing much insight. I remember a few of us have proposed removing it from the temp catalog pages. What do you think? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 12:18, 25 March 2022 (UTC)

Cmloegcmluin at 04:27, 25 March 2022

2022-03-25T04:27:07Z

← Older revision		Revision as of 04:27, 25 March 2022
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	--[[User:TallKite\|TallKite]] ([[User talk:TallKite\|talk]]) 23:33, 15 March 2022 (UTC)		--[[User:TallKite\|TallKite]] ([[User talk:TallKite\|talk]]) 23:33, 15 March 2022 (UTC)

			: Not sure, sorry. I didn't come up with the concept and I'm not a fan of it. It just bothered me that it was never explained anywhere. --[[User:Cmloegcmluin\|Cmloegcmluin]] ([[User talk:Cmloegcmluin\|talk]]) 04:27, 25 March 2022 (UTC)

TallKite: /* Questions */

2022-03-15T23:36:42Z

Questions

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	\|}		\|}

	This is a valid lattice, but why is it better than the original one, or any of the other possibilities~~? And why use generators 6/5 and 3/2 instead of 3/2 and 6/5~~? What is the exact method for finding the best lattice?		This is a valid lattice, but why is it better than the original one, or any of the other possibilities? What is the exact method for finding the best lattice?

	--[[User:TallKite\|TallKite]] ([[User talk:TallKite\|talk]]) 23:33, 15 March 2022 (UTC)		--[[User:TallKite\|TallKite]] ([[User talk:TallKite\|talk]]) 23:33, 15 March 2022 (UTC)

TallKite: Created page with "==Questions== You've taken this {| class="wikitable" |+ ! colspan="2" rowspan="2" | ! colspan="4" |g₁ |- !0 !1 !2 !3 |- ! rowspan="5" |g₂ !-3 | | | |7/1 |- !-2 | | | | |-..."

2022-03-15T23:33:33Z

Created page with "==Questions== You've taken this {| class="wikitable" |+ ! colspan="2" rowspan="2" | ! colspan="4" |g₁ |- !0 !1 !2 !3 |- ! rowspan="5" |g₂ !-3 | | | |7/1 |- !-2 | | | | |-..."

New page

==Questions==
You've taken this

{| class="wikitable"
|+
! colspan="2" rowspan="2" |
! colspan="4" |g₁
|-
!0
!1
!2
!3
|-
! rowspan="5" |g₂
!-3
|
|
|
|7/1
|-
!-2
|
|
|
|
|-
!-1
|
|
|
|
|-
!0
|2/1
|3/1
|
|
|-
!1
|5/1
|
|
|
|}

and rotated/flipped/sheared it, converting it to this

{| class="wikitable"
|+
! colspan="2" rowspan="2" |
! colspan="5" |g₁
|-
!-1
!0
!1
!2
!3
|-
! rowspan="2" |g₂
!0
|
|2/1
|
|
|7/1
|-
!1
|5/1
|3/1
|
|
|
|}

This is a valid lattice, but why is it better than the original one, or any of the other possibilities? And why use generators 6/5 and 3/2 instead of 3/2 and 6/5? What is the exact method for finding the best lattice?

--[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 23:33, 15 March 2022 (UTC)