Rhodium: Difference between revisions

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Rhodium is a rank-2 temperament which splits the octave into 45 parts and has a generator that is mapped to [[55/32]]. It is named after the 45th element.

'''Rhodium''' is a [[rank-2]] [[regular temperament|temperament]] which splits the [[octave]] into 45 parts and has a generator that is mapped to [[55/32]]. It is named after the 45th element by [[Eliora]] in 2023.

For technical data see: [[Ragismic microtemperaments#Rhodium]]

For technical data see [[Ragismic microtemperaments #Rhodium]].

==Theory==

== Theory ==

From a classical regular temperament theory perspective, rhodium is just an extension of the [[ennealimmal temperament]], and respectively has the same mappings for the 9edo subset - [[27/25]] for 1\9, [[7/6]] for 2\9, [[63/50]] for third-octave and [[49/36]] for 4\9.

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=== Relationship to Ben Johnston's notation ===

Rhodium tempers 65/64 to 1\45 and 33/32 to 2\45. These intervals are used in Ben Johnston notation to translate a nearby simple interval into a usually more complex tridecimal (65/64) or undecimal (33/32) version. As such, using symbols 11 and 13 while playing in rhodium enables modulation by various steps of 45edo.

[[Category:Temperaments]]

[[Category:Rhodium| ]]

[[Category:Rank 2]]

[[Category:Quartismic]]

@@ Line 1: / Line 1: @@
-Rhodium is a rank-2 temperament which splits the octave into 45 parts and has a generator that is mapped to [[55/32]]. It is named after the 45th element.
+'''Rhodium''' is a [[rank-2]] [[regular temperament|temperament]] which splits the [[octave]] into 45 parts and has a generator that is mapped to [[55/32]]. It is named after the 45th element by [[Eliora]] in 2023.
-For technical data see: [[Ragismic microtemperaments#Rhodium]]
+For technical data see [[Ragismic microtemperaments #Rhodium]].
-==Theory==
+== Theory ==
 From a classical regular temperament theory perspective, rhodium is just an extension of the [[ennealimmal temperament]], and respectively has the same mappings for the 9edo subset - [[27/25]] for 1\9, [[7/6]] for 2\9, [[63/50]] for third-octave and [[49/36]] for 4\9.
@@ Line 11: / Line 12: @@
 === Relationship to Ben Johnston's notation ===
 Rhodium tempers 65/64 to 1\45 and 33/32 to 2\45. These intervals are used in Ben Johnston notation to translate a nearby simple interval into a usually more complex tridecimal (65/64) or undecimal (33/32) version. As such, using symbols 11 and 13 while playing in rhodium enables modulation by various steps of 45edo.
+[[Category:Temperaments]]
+[[Category:Rhodium| ]] <!-- main article -->
 [[Category:Rank 2]]
 [[Category:Quartismic]]