User:Overthink/Frameshift–Mercator equivalence continuum - Revision history

Overthink: Blanked incorrect sections in bottom page, added ellipses

2025-10-29T22:10:26Z

Blanked incorrect sections in bottom page, added ellipses

← Older revision		Revision as of 22:10, 29 October 2025
Line 39:		Line 39:
	\| …		\| …
	\| …		\| …
	\|		\|…
	\|-		\|-
	\| ∞		\| ∞
Line 62:		Line 62:
	\| −1		\| −1
	\| ?		\| ?
	\| ~~12e & 159~~		\|
	\| ~~<abbr title="443426488243037769948249630619149892803/442300615597430756708741799308284657664">[very long]</abbr>~~		\|
	\| ~~{{Monzo\| -118 81 0 0 -3 }}~~		\|
	\|-		\|-
	\| 0		\| 0
Line 74:		Line 74:
	\| 1		\| 1
	\| ?		\| ?
	\| ~~29 & 36~~		\|
	\| ~~<abbr title="1127741139168633/1125899906842624">[very long]</abbr>~~		\|
	\| ~~{{Monzo\| -50 25 0 0 3 }}~~		\|
	\|-		\|-
	\| 2		\| 2
	\| ?		\| ?
	\| ~~[[Tribilo]] (Rank-2 [[nexus]])~~		\|
	\| ~~[[1771561/1769472]]~~		\|
	\| ~~{{Monzo\| -16 -3 0 0 6 }}~~		\|
	\|-		\|-
	\| 3		\| 3
	\| ?		\| ?
	\| ~~17 & 142~~		\|
	\| ~~[[618121839509504/617673396283947]]~~		\|
	\| ~~{{Monzo\| 18 -31 0 0 9 }}~~		\|
	\|-		\|-
	\| …		\| …
	\| …		\| …
	\| …		\| …
	\|		\|…
			\|…
	\|-		\|-
	\| ∞		\| ∞
	\| 2		\| 2
	\| ~~Rank-2 [[Frameshift]]~~		\|
	\| ~~[[22876792454961/22866405883904]]~~		\|
	\| ~~{{Monzo\| -34 28 0 0 -3}}~~		\|
	\|}		\|}

Overthink: Started nexus-mercator equivalence continuum section

2025-10-26T18:06:30Z

Started nexus-mercator equivalence continuum section

@@ Line 1: / Line 1: @@
-The '''Frameshift-Mercator equivalence continuum''' is the set of all temperaments which equate a number ''n'' of [[Frameshift comma|frameshift commas]] to [[mercator's comma]]. When extended to include fractional and infinite ''n'', it represents the set of all [[Alpharabian tuning|2.3.11]] temperaments supported by [[159edo]]. Unfortunately, many of these temperaments are quite complex.
+The '''Frameshift–Mercator equivalence continuum''' is the set of all temperaments which equate a number ''n'' of [[Frameshift comma|frameshift commas]] to [[mercator's comma]]. When extended to include fractional and infinite ''n'', it represents the set of all [[Alpharabian tuning|2.3.11]] temperaments supported by [[159edo]]. Unfortunately, many of these temperaments are quite complex.
 {| class="wikitable center-1"
@@ Line 42: / Line 42: @@
 |-
 | ∞
 | Rank-2 [[Frameshift]]
 | [[22876792454961/22866405883904]]
 | {{Monzo| -34 28 0 0 -3}}
 |}

Overthink: Created page with "The '''Frameshift-Mercator equivalence continuum''' is the set of all temperaments which equate a number ''n'' of frameshift commas to mercator's comma. When extended to include fractional and infinite ''n'', it represents the set of all 2.3.11 temperaments supported by 159edo. Unfortunately, many of these temperaments are quite complex. {| class="wikitable center-1" |+ style="font-size: 105%;" | Temperaments in the co..."

2025-10-26T17:57:54Z

Created page with "The '''Frameshift-Mercator equivalence continuum''' is the set of all temperaments which equate a number ''n'' of frameshift commas to mercator's comma. When extended to include fractional and infinite ''n'', it represents the set of all 2.3.11 temperaments supported by 159edo. Unfortunately, many of these temperaments are quite complex. {| class="wikitable center-1" |+ style="font-size: 105%;" | Temperaments in the co..."

New page

The '''Frameshift-Mercator equivalence continuum''' is the set of all temperaments which equate a number ''n'' of [[Frameshift comma|frameshift commas]] to [[mercator's comma]]. When extended to include fractional and infinite ''n'', it represents the set of all [[Alpharabian tuning|2.3.11]] temperaments supported by [[159edo]]. Unfortunately, many of these temperaments are quite complex.

{| class="wikitable center-1"
|+ style="font-size: 105%;" | Temperaments in the continuum
|-
! rowspan="2" | ''n''
! rowspan="2" | Temperament
! colspan="2" | Comma
|-
! Ratio
! Monzo
|-
| −1
| 12e & 159
| <abbr title="443426488243037769948249630619149892803/442300615597430756708741799308284657664">[very long]</abbr>
| {{Monzo| -118 81 0 0 -3 }}
|-
| 0
| 2.3.11 [[Mercator]]
| <abbr title="19383245667680019896796723/19342813113834066795298816">[very long]</abbr>
| {{Monzo| -84 53 }}
|-
| 1
| 29 & 36
| <abbr title="1127741139168633/1125899906842624">[very long]</abbr>
| {{Monzo| -50 25 0 0 3 }}
|-
| 2
| [[Tribilo]] (Rank-2 [[nexus]])
| [[1771561/1769472]]
| {{Monzo| -16 -3 0 0 6 }}
|-
| 3
| 17 & 142
| [[618121839509504/617673396283947]]
| {{Monzo| 18 -31 0 0 9 }}
|-
| …
| …
| …
|
|-
| ∞
| Rank-2 [[Frameshift]]
| [[22876792454961/22866405883904]]
| {{Monzo| -34 28 0 0 -3}}
|}