Ragismic microtemperaments: Difference between revisions

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=== Ennealimmia ===

Ennealimmal temperament has various extensions to the 11-limit. Tempering out 131072/130977 (salururu comma) leads to the ''ennealimmia'' temperament (171&270~~, named by [[User:Xenllium|Xenllium]]~~).

Ennealimmal temperament has various extensions to the 11-limit. Tempering out 131072/130977 (salururu comma) leads to the ''ennealimmia'' temperament (171&270).

Subgroup: 2.3.5.7.11

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Scales: [[Octoid72]], [[Octoid80]]

~~====~~ Music ~~====~~

; Music

* [http://www.archive.org/details/Dreyfus http://www.archive.org/details/Dreyfus] [http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play]

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=== Paralytic ===

The ''paralytic'' temperament (118&217~~, named by [[User:FloraC|Flora Canou]]~~) tempers out 441/440, 5632/5625, and 19712/19683. In 13-limit, 118&217 tempers out 1001/1000, 1575/1573, and 3584/3575.

The ''paralytic'' temperament (118&217) tempers out 441/440, 5632/5625, and 19712/19683. In 13-limit, 118&217 tempers out 1001/1000, 1575/1573, and 3584/3575.

Subgroup: 2.3.5.7.11

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==== Paraklein ====

The ''paraklein'' temperament (19e&118~~, named by [[User:Xenllium|Xenllium]]~~) is another 13-limit extension of paralytic, which equates [[13/11]] with [[32/27]], [[14/13]] with [[15/14]], [[25/24]] with [[26/25]], and [[27/26]] with [[28/27]].

The ''paraklein'' temperament (19e&118) is another 13-limit extension of paralytic, which equates [[13/11]] with [[32/27]], [[14/13]] with [[15/14]], [[25/24]] with [[26/25]], and [[27/26]] with [[28/27]].

Subgroup: 2.3.5.7.11.13

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{{see also|Syntonic-enneadecal equivalence continuum #Counterhanson}}

In the 5-limit, the counterhanson temperament tempers out the counterhanson (quinquinyo) comma, {{monzo|-20 -24 25}}, the amount by which six [[648/625|major dieses (648/625)]] fall short of the [[5/4|classic major third (5/4)]]. It can be described as 19&224 temperament (''counterkleismic'', named by [[~~User:Xenllium|Xenllium~~]]), tempering out the ragisma and 158203125/157351936 (laquadru-atritriyo comma).

In the 5-limit, the counterhanson temperament tempers out the counterhanson (quinquinyo) comma, {{monzo|-20 -24 25}}, the amount by which six [[648/625|major dieses (648/625)]] fall short of the [[5/4|classic major third (5/4)]]. It can be described as 19&224 temperament (''counterkleismic'', named by analogy to [[catakleismic]] and parakleismic), tempering out the ragisma and 158203125/157351936 (laquadru-atritriyo comma).

Subgroup: 2.3.5.7

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== Palladium ==

The name of ''palladium temperament'' ~~(named by [[User:Xenllium|Xenllium]])~~ comes from Palladium, the 46th element.

The name of ''palladium temperament'' comes from Palladium, the 46th element.

Palladium temperament has a period of 1/46 octave. It tempers out the 46-9/5-comma, {{monzo|-39 92 -46}}, by which 46 minortones (10/9) fall short of seven octaves. This temperament can be described as 46&414 temperament, which tempers out {{monzo|-51 8 2 12}} as well as the ragisma.

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== Monzism ==

The ''monzism'' temperament (53&612~~, named by [[User:Xenllium|Xenllium]]~~) is a rank-two temperament which tempers out the [[monzisma]], {{monzo|54 -37 2}} and the [[nanisma]], {{monzo|109 -67 0 -1}}, as well as the ragisma, [[4375/4374]].

The ''monzism'' temperament (53&612) is a rank-two temperament which tempers out the [[monzisma]], {{monzo|54 -37 2}} and the [[nanisma]], {{monzo|109 -67 0 -1}}, as well as the ragisma, [[4375/4374]].

Subgroup: 2.3.5.7

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[[Category:Ragismic]]

[[Category:Rank 2]]

[[Category:Temperament collection]]

[[Category:Ragismic microtemperaments| ]]

@@ Line 62: / Line 62: @@
 === Ennealimmia ===
-Ennealimmal temperament has various extensions to the 11-limit. Tempering out 131072/130977 (salururu comma) leads to the ''ennealimmia'' temperament (171&amp;270, named by [[User:Xenllium|Xenllium]]).
+Ennealimmal temperament has various extensions to the 11-limit. Tempering out 131072/130977 (salururu comma) leads to the ''ennealimmia'' temperament (171&amp;270).
 Subgroup: 2.3.5.7.11
@@ Line 979: / Line 979: @@
 Scales: [[Octoid72]], [[Octoid80]]
-==== Music ====
+; Music
 * [http://www.archive.org/details/Dreyfus http://www.archive.org/details/Dreyfus] [http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play]
@@ Line 1,132: / Line 1,132: @@
 === Paralytic ===
-The ''paralytic'' temperament (118&amp;217, named by [[User:FloraC|Flora Canou]]) tempers out 441/440, 5632/5625, and 19712/19683. In 13-limit, 118&amp;217 tempers out 1001/1000, 1575/1573, and 3584/3575.
+The ''paralytic'' temperament (118&amp;217) tempers out 441/440, 5632/5625, and 19712/19683. In 13-limit, 118&amp;217 tempers out 1001/1000, 1575/1573, and 3584/3575.
 Subgroup: 2.3.5.7.11
@@ Line 1,160: / Line 1,160: @@
 ==== Paraklein ====
-The ''paraklein'' temperament (19e&amp;118, named by [[User:Xenllium|Xenllium]]) is another 13-limit extension of paralytic, which equates [[13/11]] with [[32/27]], [[14/13]] with [[15/14]], [[25/24]] with [[26/25]], and [[27/26]] with [[28/27]].
+The ''paraklein'' temperament (19e&amp;118) is another 13-limit extension of paralytic, which equates [[13/11]] with [[32/27]], [[14/13]] with [[15/14]], [[25/24]] with [[26/25]], and [[27/26]] with [[28/27]].
 Subgroup: 2.3.5.7.11.13
@@ Line 1,268: / Line 1,268: @@
 {{see also|Syntonic-enneadecal equivalence continuum #Counterhanson}}
-In the 5-limit, the counterhanson temperament tempers out the counterhanson (quinquinyo) comma, {{monzo|-20 -24 25}}, the amount by which six [[648/625|major dieses (648/625)]] fall short of the [[5/4|classic major third (5/4)]]. It can be described as 19&amp;224 temperament (''counterkleismic'', named by [[User:Xenllium|Xenllium]]), tempering out the ragisma and 158203125/157351936 (laquadru-atritriyo comma).
+In the 5-limit, the counterhanson temperament tempers out the counterhanson (quinquinyo) comma, {{monzo|-20 -24 25}}, the amount by which six [[648/625|major dieses (648/625)]] fall short of the [[5/4|classic major third (5/4)]]. It can be described as 19&amp;224 temperament (''counterkleismic'', named by analogy to [[catakleismic]] and parakleismic), tempering out the ragisma and 158203125/157351936 (laquadru-atritriyo comma).
 Subgroup: 2.3.5.7
@@ Line 1,449: / Line 1,449: @@
 == Palladium ==
-The name of ''palladium temperament'' (named by [[User:Xenllium|Xenllium]]) comes from Palladium, the 46th element.
+The name of ''palladium temperament'' comes from Palladium, the 46th element.
 Palladium temperament has a period of 1/46 octave. It tempers out the 46-9/5-comma, {{monzo|-39 92 -46}}, by which 46 minortones (10/9) fall short of seven octaves. This temperament can be described as 46&amp;414 temperament, which tempers out {{monzo|-51 8 2 12}} as well as the ragisma.
@@ Line 1,507: / Line 1,507: @@
 == Monzism ==
-The ''monzism'' temperament (53&amp;612, named by [[User:Xenllium|Xenllium]]) is a rank-two temperament which tempers out the [[monzisma]], {{monzo|54 -37 2}} and the [[nanisma]], {{monzo|109 -67 0 -1}}, as well as the ragisma, [[4375/4374]].
+The ''monzism'' temperament (53&amp;612) is a rank-two temperament which tempers out the [[monzisma]], {{monzo|54 -37 2}} and the [[nanisma]], {{monzo|109 -67 0 -1}}, as well as the ragisma, [[4375/4374]].
 Subgroup: 2.3.5.7
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 [[Category:Ragismic]]
 [[Category:Rank 2]]
+[[Category:Temperament collection]]
 [[Category:Ragismic microtemperaments| ]] <!-- main article -->