Talk:Superpyth–22 equivalence continuum - Revision history

ArrowHead294: ArrowHead294 moved page Talk:Superpyth-22 equivalence continuum to Talk:Superpyth–22 equivalence continuum: The dash in titles like these should be an en dash, not a hyphen-minus, since "superpyth" does not modify "22"

2024-12-17T16:51:45Z

ArrowHead294 moved page Talk:Superpyth-22 equivalence continuum to Talk:Superpyth–22 equivalence continuum: The dash in titles like these should be an en dash, not a hyphen-minus, since "superpyth" does not modify "22"

← Older revision	Revision as of 16:51, 17 December 2024
(No difference)

FloraC at 12:03, 11 July 2024

2024-07-11T12:03:28Z

← Older revision		Revision as of 12:03, 11 July 2024
Line 2:		Line 2:
	This should be renamed and re-parametrized to superpyth-22 equivalence continuum:		This should be renamed and re-parametrized to superpyth-22 equivalence continuum:

	{\| class="wikitable center-1 ~~center-2~~"		{\| class="wikitable center-1"
	\|+Temperaments in the continuum		\|+Temperaments in the continuum
	\|-		\|-
Line 50:		Line 50:
	Or doing it backwards, the quasisuper-22 equivalence continuum:		Or doing it backwards, the quasisuper-22 equivalence continuum:

	{\| class="wikitable center-1 ~~center-2~~"		{\| class="wikitable center-1"
	\|+Temperaments in the continuum		\|+Temperaments in the continuum
	\|-		\|-

FloraC: FloraC moved page Talk:Diaschismic-porcupine equivalence continuum to Talk:Superpyth-22 equivalence continuum without leaving a redirect: See talk

2023-05-09T09:32:01Z

FloraC moved page Talk:Diaschismic-porcupine equivalence continuum to Talk:Superpyth-22 equivalence continuum without leaving a redirect: See talk

← Older revision	Revision as of 09:32, 9 May 2023
(No difference)

Royalmilktea: response to florac

2023-05-09T06:59:35Z

response to florac

← Older revision		Revision as of 06:59, 9 May 2023
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	[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:35, 16 April 2023 (UTC)		[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:35, 16 April 2023 (UTC)


			Honestly, you probably know more about this than I do, so I think we should go with your idea. You can move the page and implement your idea if you want. I mainly just wanted to see the hyper-accurate temperaments that can be extracted from 22-edo. I created this page to extend your idea of equivalence continua to 22-edo, a somewhat accurate temperament for 7-limit.

			--[[User:Royalmilktea\|Royalmilktea]] ([[User talk:Royalmilktea\|talk]]) 06:59, 9 May 2023 (UTC)

FloraC: FloraC moved page Talk:Diaschismic-Porcupine equivalence continuum to Talk:Diaschismic-porcupine equivalence continuum without leaving a redirect: WP:NCCAPS

2023-04-16T09:11:18Z

FloraC moved page Talk:Diaschismic-Porcupine equivalence continuum to Talk:Diaschismic-porcupine equivalence continuum without leaving a redirect: WP:NCCAPS

← Older revision	Revision as of 09:11, 16 April 2023
(No difference)

FloraC: Update and correction

2023-04-16T08:41:16Z

Update and correction

← Older revision		Revision as of 08:41, 16 April 2023
Line 1:		Line 1:
	== Suggested rename and re-parametrization ==		== Suggested rename and re-parametrization ==
	This should be renamed and re-parametrized to 22~~-superpyth~~ equivalence continuum:		This should be renamed and re-parametrized to superpyth-22 equivalence continuum:

	{\| class="wikitable center-1 center-2"		{\| class="wikitable center-1 center-2"
Line 25:		Line 25:
	\| [[Diaschismic]]		\| [[Diaschismic]]
	\| 2048/2025		\| 2048/2025
	\| {{Monzo\| -11 4 2 }}		\| {{Monzo\| 11 -4 -2 }}
	\|-		\|-
	\| 3		\| 3
Line 48:		Line 48:
	\|}		\|}

	Or doing it backwards, the 22~~-quasisuper~~ equivalence continuum:		Or doing it backwards, the quasisuper-22 equivalence continuum:

	{\| class="wikitable center-1 center-2"		{\| class="wikitable center-1 center-2"
Line 73:		Line 73:
	\| [[Diaschismic]]		\| [[Diaschismic]]
	\| 2048/2025		\| 2048/2025
	\| {{Monzo\| -11 4 2 }}		\| {{Monzo\| 11 -4 -2 }}
	\|-		\|-
	\| 3		\| 3
	\| 22 & 29c		\| 22 & 29c
	\| ~~250/243~~		\|
	\| {{Monzo\| 34 -17 -3 }}		\| {{Monzo\| 34 -17 -3 }}
	\|-		\|-
Line 99:		Line 99:
	# ''n'' = 1 should correspond to 1 or -1 in the next prime, and the comma should be smaller than that of ''n'' = 0. That seems to narrow the number of candidates down to 2. As we set one of them as ''n'' = 1, the other would be ''n'' = inf and vice versa.		# ''n'' = 1 should correspond to 1 or -1 in the next prime, and the comma should be smaller than that of ''n'' = 0. That seems to narrow the number of candidates down to 2. As we set one of them as ''n'' = 1, the other would be ''n'' = inf and vice versa.
	# As we decide which is ''n'' = 1 and which ''n'' = inf, we should try to keep the just value of ''n'' greater than 2. We might wanna present both tables in the page, one by ''n'', and the other would be ''n''/(''n'' + 1).		# As we decide which is ''n'' = 1 and which ''n'' = inf, we should try to keep the just value of ''n'' greater than 2. We might wanna present both tables in the page, one by ''n'', and the other would be ''n''/(''n'' + 1).

			So in this case the answer seems to be superpyth-22. Superpyth is also the smaller comma, as expected.

	[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:35, 16 April 2023 (UTC)		[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:35, 16 April 2023 (UTC)

FloraC: Update

2023-04-16T08:35:02Z

Update

← Older revision		Revision as of 08:35, 16 April 2023
Line 78:		Line 78:
	\| 22 & 29c		\| 22 & 29c
	\| 250/243		\| 250/243
	\| {{Monzo\| -34 17 3 }}		\| {{Monzo\| 34 -17 -3 }}
	\|-		\|-
	\|…		\|…
Line 91:		Line 91:
	\|}		\|}

	Or maybe we should call it superpyth-quasisuper based on the two "order-1" temperaments? [[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:21, 16 April 2023 (UTC)		Or maybe we should call it superpyth-quasisuper based on the two "order-1" temperaments?

			[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:21, 16 April 2023 (UTC)

			Update: I've found some simple rules to follow:
			# ''n'' = 0 should correspond to a 3-limit comma (or in general, the comma that's independent of the last prime).
			# ''n'' = 1 should correspond to 1 or -1 in the next prime, and the comma should be smaller than that of ''n'' = 0. That seems to narrow the number of candidates down to 2. As we set one of them as ''n'' = 1, the other would be ''n'' = inf and vice versa.
			# As we decide which is ''n'' = 1 and which ''n'' = inf, we should try to keep the just value of ''n'' greater than 2. We might wanna present both tables in the page, one by ''n'', and the other would be ''n''/(''n'' + 1).

			[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 08:35, 16 April 2023 (UTC)

FloraC: Created page with "== Suggested rename and re-parametrization == This should be renamed and re-parametrized to 22-superpyth equivalence continuum: {| class="wikitable center-1 center-2" |+Temp..."

2023-04-16T08:21:21Z

Created page with "== Suggested rename and re-parametrization == This should be renamed and re-parametrized to 22-superpyth equivalence continuum: {| class="wikitable center-1 center-2" |+Temp..."

New page

== Suggested rename and re-parametrization ==
This should be renamed and re-parametrized to 22-superpyth equivalence continuum:

{| class="wikitable center-1 center-2"
|+Temperaments in the continuum
|-
! rowspan="2" | ''n''
! rowspan="2" | Temperament
! colspan="2" | Comma
|-
! Ratio
! Monzo
|-
| 0
| 22 & 22c
|
| {{Monzo| 35 -22 }}
|-
| 1
| [[Quasisuper]]
| 8388608/7971615
| {{Monzo| 23 -13 -1 }}
|-
| 2
| [[Diaschismic]]
| 2048/2025
| {{Monzo| -11 4 2 }}
|-
| 3
| [[Porcupine]]
| 250/243
| {{Monzo| 1 -5 3 }}
|-
| 4
| [[Comic]]
| 5120000/4782969
| {{Monzo| 13 -14 4 }}
|-
|…
|…
|…
|…
|-
| ∞
| [[Superpyth]]
| 20480/19683
| {{monzo| 12 -9 1 }}
|}

Or doing it backwards, the 22-quasisuper equivalence continuum:

{| class="wikitable center-1 center-2"
|+Temperaments in the continuum
|-
! rowspan="2" | ''n''
! rowspan="2" | Temperament
! colspan="2" | Comma
|-
! Ratio
! Monzo
|-
| 0
| 22 & 22c
|
| {{Monzo| 35 -22 }}
|-
| 1
| [[Superpyth]]
| 20480/19683
| {{Monzo| 12 -9 1 }}
|-
| 2
| [[Diaschismic]]
| 2048/2025
| {{Monzo| -11 4 2 }}
|-
| 3
| 22 & 29c
| 250/243
| {{Monzo| -34 17 3 }}
|-
|…
|…
|…
|…
|-
| ∞
| [[Quasisuper]]
| 8388608/7971615
| {{Monzo| 23 -13 -1 }}
|}

Or maybe we should call it superpyth-quasisuper based on the two "order-1" temperaments? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:21, 16 April 2023 (UTC)