Tour of regular temperaments: Difference between revisions

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== Commatic realms of 11-limit and 13-limit commas ==

By a ''commatic realm'' is meant the whole collection of regular temperaments of various ranks and for both full groups and [[~~Just_intonation_subgroups|~~subgroups]] tempering out a given comma. For some commas, looking at the full commatic realm seems the best approach to discussing associated temperaments.

By a ''commatic realm'' is meant the whole collection of regular temperaments of various ranks and for both full groups and [[subgroups]] tempering out a given comma. For some commas, looking at the full commatic realm seems the best approach to discussing associated temperaments.

; [[Orgonia|Orgonia or Satrilu-aruru]]

: Orgonia is the commatic realm of the [[11-limit]] comma 65536/65219 = {{~~Monzo~~|16 0 0 -2 -3}}, the orgonisma.

: Orgonia is the commatic realm of the [[11-limit]] comma 65536/65219 = {{monzo| 16 0 0 -2 -3 }}, the [[orgonisma]].

; [[The Biosphere|The Biosphere or Thozogu]]

: The Biosphere is the name given to the commatic realm of the 13-limit comma 91/90.

: The Biosphere is the name given to the commatic realm of the [[13-limit]] comma 91/90.

; [[The Archipelago|The Archipelago or Bithogu]]

The Archipelago is a name which has been given to the commatic realm of the [[13-limit]] comma {{~~Monzo~~|2 -3 -2 0 0 2}} ~~= 676/675~~.

The Archipelago is a name which has been given to the commatic realm of the 13-limit comma 676/675 = {{monzo| 2 -3 -2 0 0 2 }}, the [[island comma]].

; [[Marveltwin|Marveltwin or Thoyoyo]]

: This is the commatic realm of the 13-limit comma 325/324.

: This is the commatic realm of the 13-limit comma 325/324, the [[marveltwin comma]].

; [[The Nexus]]

: This is the commatic realm of the 11-limit comma 1771561/1769472 = {{monzo| -16 -3 0 0 6 }}, the [[nexus comma]].

; [[The Quartercache]]

: This is the commatic realm of the 11-limit comma 117440512/117406179 = {{monzo| 24 -6 0 1 -5 }}, the [[quartisma]].

== Miscellaneous other temperaments ==

@@ Line 635: / Line 635: @@
 == Commatic realms of 11-limit and 13-limit commas ==
-By a ''commatic realm'' is meant the whole collection of regular temperaments of various ranks and for both full groups and [[Just_intonation_subgroups|subgroups]] tempering out a given comma. For some commas, looking at the full commatic realm seems the best approach to discussing associated temperaments.
+By a ''commatic realm'' is meant the whole collection of regular temperaments of various ranks and for both full groups and [[subgroups]] tempering out a given comma. For some commas, looking at the full commatic realm seems the best approach to discussing associated temperaments.
 ; [[Orgonia|Orgonia or Satrilu-aruru]]
-: Orgonia is the commatic realm of the [[11-limit]] comma 65536/65219 = {{Monzo|16 0 0 -2 -3}}, the orgonisma.
+: Orgonia is the commatic realm of the [[11-limit]] comma 65536/65219 = {{monzo| 16 0 0 -2 -3 }}, the [[orgonisma]].
 ; [[The Biosphere|The Biosphere or Thozogu]]
-: The Biosphere is the name given to the commatic realm of the 13-limit comma 91/90.
+: The Biosphere is the name given to the commatic realm of the [[13-limit]] comma 91/90.
 ; [[The Archipelago|The Archipelago or Bithogu]]
-The Archipelago is a name which has been given to the commatic realm of the [[13-limit]] comma {{Monzo|2 -3 -2 0 0 2}} = 676/675.
+The Archipelago is a name which has been given to the commatic realm of the 13-limit comma 676/675 = {{monzo| 2 -3 -2 0 0 2 }}, the [[island comma]].
 ; [[Marveltwin|Marveltwin or Thoyoyo]]
-: This is the commatic realm of the 13-limit comma 325/324.
+: This is the commatic realm of the 13-limit comma 325/324, the [[marveltwin comma]].
+; [[The Nexus]]
+: This is the commatic realm of the 11-limit comma 1771561/1769472 = {{monzo| -16 -3 0 0 6 }}, the [[nexus comma]].
+; [[The Quartercache]]
+: This is the commatic realm of the 11-limit comma 117440512/117406179 = {{monzo| 24 -6 0 1 -5 }}, the [[quartisma]].
 == Miscellaneous other temperaments ==