User:Eliora/Schismic-parakleismic equivalence continuum - Revision history

Eliora at 16:01, 14 August 2026

2026-08-14T16:01:01Z

← Older revision		Revision as of 16:01, 14 August 2026
Line 15:		Line 15:
	\|-		\|-
	\| 0		\| 0
	\| [[~~Mercator~~]]		\| [[Schismic]]
	\| ~~(52 digits)~~		\| [[32805/32768]]
	\| {{Monzo\| -~~84 53~~ }}		\| {{Monzo\| -15 8 1 }}
	\|-		\|-
	\| 1		\| 1
	\| ~~[[Counterschismic]]~~		\| Vishnu
	\| ~~(44 digits)~~		\|
	\| [~~[Counterschisma\|{{Monzo\| -69 45~~ -~~1 }}]]~~		\| [23 6 -14⟩
	\|-		\|-
	\| 2		\| 2
	\| ~~[[Very high accuracy temperaments #Monzismic\|Monzismic]]~~		\| Luna
	\| ~~(36 digits)~~		\|
	\| [~~[Monzisma\|{{Monzo\| 54~~ -37 2 ~~}}]]~~		\| [38 -2 -15⟩
	\|-		\|-
	\| 3		\| 3
	\| ~~[[Alphatricot]]~~		\| Kwazy
	\| ~~(28 digits)~~		\|
	\| [~~[Alphatricot comma\|{{Monzo\| 39~~ -~~29 3 }}]]~~		\| [-53 10 16⟩
	\|-		\|-
	\| 4		\| 4
	\| ~~[[Vulture]]~~		\| Vavoom
	\| ~~(22 digits)~~		\|
	\| [~~[Vulture comma\|{{Monzo\| 24~~ -~~21 4 }}]]~~		\| [-68 18 17⟩
	\|-		\|-
	\| 5		\| 5
	\| ~~[[Amity]]~~		\| 10 & 118
	\| ~~[[1600000/1594323]]~~		\|
	\| ~~{{Monzo\| 9~~ -~~13 5 }}~~		\| [-83 26 18]
	\|-		\|-
	\| 6		\| 6
	\| ~~[[Kleismic]]~~		\|
	\| ~~[[15625/15552]]~~		\|
	\| ~~{{Monzo\|-6 -5 6}}~~		\|
	\|-		\|-
	\| 7		\| 7
	\| ~~[[Orson]]~~		\|
	\| ~~[[Semicomma\|2109375/2097152]]~~		\|
	\| ~~{{Monzo\|-21 3 7 }}~~		\|
	\|-		\|-
	\| 8		\| 8
	\| ~~[[Buzzardsmic clan #Demibuzzard\|Demibuzzard]]~~		\|
	\| ~~(22 digits)~~		\|
	\| ~~{{Monzo\| -36 11 8 }}~~		\|
	\|-		\|-
	\| 9		\| 9
	\| ~~[[Miscellaneous 5-limit temperaments #Untriton\|Untriton]]~~		\|
	\| ~~(32 digits)~~		\|
	\| ~~{{Monzo\| -51 19 9 }}~~		\|
	\|-		\|-
	\| …		\| …
Line 70:		Line 70:
	\|-		\|-
	\| ∞		\| ∞
	\| ~~[[Schismic]]~~		\| Parakleismic
	\| ~~[[32805/32768]]~~		\|
	\| {{~~Monzo~~\| -~~15 8 1~~ }}		\| {{monzo\|8 14 -13}}
	\|}		\|}

Eliora at 15:53, 14 August 2026

2026-08-14T15:53:24Z

@@ Line 1: / Line 1: @@
 {{Technical data page}}
-The '''schismic–parakleismic equivalence continuum''' is a continuum of 5-limit temperaments which equate a number of [[32805/32768|schismas (32805/32768)]] with [[parakleisma]]. This continuum is theoretically interesting in that the temperaments associated with its various commas are all 5-limit microtemperaments.
+The '''schismic–parakleismic equivalence continuum''' is a continuum of 5-limit temperaments which equate a number of [[32805/32768|schismas (32805/32768)]] with [[parakleisma]] (. This continuum is theoretically interesting in that the temperaments associated with its various commas are all 5-limit microtemperaments.
-All temperaments in the continuum satisfy (...) Varying ''n'' results in different temperaments listed in the table below. It converges to [[schismic]] as ''n'' approaches infinity. If we allow non-integer and infinite ''n'', the continuum describes the set of all [[5-limit]] temperaments supported by [[118edo]] (due to it being the unique equal temperament that tempers both commas and thus tempers all combinations of them). The just value of ''n'' is approximately …, and temperaments having ''n'' near this value tend to be the most accurate ones.
+All temperaments in the continuum satisfy (32805/32768)<sup>n</sup> = {{monzo|8 14 -13}}. Varying ''n'' results in different temperaments listed in the table below. It converges to [[parakleismic]] as ''n'' approaches infinity. If we allow non-integer and infinite ''n'', the continuum describes the set of all [[5-limit]] temperaments supported by [[118edo]] (due to it being the unique equal temperament that tempers both commas and thus tempers all combinations of them). The just value of ''n'' is approximately 2.70854..., and temperaments having ''n'' near this value tend to be the most accurate ones.

Eliora: Created page with "{{Technical data page}} The '''schismic–parakleismic equivalence continuum''' is a continuum of 5-limit temperaments which equate a number of schismas (32805/32768) with parakleisma. This continuum is theoretically interesting in that the temperaments associated with its various commas are all 5-limit microtemperaments. All temperaments in the continuum satisfy (...) Varying ''n'' results in different temperaments listed in the table below. It conv..."

2026-08-08T18:32:46Z

Created page with "{{Technical data page}} The '''schismic–parakleismic equivalence continuum''' is a continuum of 5-limit temperaments which equate a number of schismas (32805/32768) with parakleisma. This continuum is theoretically interesting in that the temperaments associated with its various commas are all 5-limit microtemperaments. All temperaments in the continuum satisfy (...) Varying ''n'' results in different temperaments listed in the table below. It conv..."

New page

{{Technical data page}}
The '''schismic–parakleismic equivalence continuum''' is a continuum of 5-limit temperaments which equate a number of [[32805/32768|schismas (32805/32768)]] with [[parakleisma]]. This continuum is theoretically interesting in that the temperaments associated with its various commas are all 5-limit microtemperaments.

All temperaments in the continuum satisfy (...) Varying ''n'' results in different temperaments listed in the table below. It converges to [[schismic]] as ''n'' approaches infinity. If we allow non-integer and infinite ''n'', the continuum describes the set of all [[5-limit]] temperaments supported by [[118edo]] (due to it being the unique equal temperament that tempers both commas and thus tempers all combinations of them). The just value of ''n'' is approximately …, and temperaments having ''n'' near this value tend to be the most accurate ones.