111th-octave temperaments: Difference between revisions

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~~==Roentgenium==~~

Roentgenium is defined as 4884 & 8103 in the 19-limit and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to 37edo in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by Eliora.

~~Subgroup: 2~~.3.5.~~7.11~~

== Roentgenium ==

Roentgenium is the [[Fractional-octave temperaments|fractional-octave temperament]] defined as 4884 & 8103 in the [[19-limit]] and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to [[37edo]] in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by [[Eliora]].

~~Comma list~~: ~~{{monzo|-25 -12 -~~3 ~~12 5}}, {{monzo|-27 27 0 3 -~~7~~}}, {{monzo|26 -8 -2 8 -9}}~~

[[Subgroup]]: 2.3.5.7.11

~~Mapping~~: [{{~~val~~|~~111 111 2855 896 384~~}}, {{~~val~~|~~0 1~~ -40 -9 0}}]

[[Comma list]]: {{monzo|-25 -12 -3 12 5}}, {{monzo|-27 27 0 3 -7}}, {{monzo|26 -8 -2 8 -9}}

Optimal tuning (CTE): ~3/2 = 701.964

[[Mapping]]: [{{val|111 111 2855 896 384}}, {{val|0 1 -40 -9 0}}]

====19-limit====

[[Optimal tuning]] (CTE): ~3/2 = 701.964

==== 19-limit ====

Subgroup: 2.3.5.7.11.13.17.19

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{{Optimal ET sequence|legend=1|3219c, 4884, 8103, 12987}}, ...

~~[[Category:Temperament collections]]~~

~~[[Category:111edo]]~~

@@ Line 1: / Line 1: @@
-{{Fractional-octave navigation|111}}
+{{Infobox fractional-octave|111}}
-==Roentgenium==
+{{todo|intro}}
-Roentgenium is defined as 4884 & 8103 in the 19-limit and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to 37edo in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by Eliora.
-Subgroup: 2.3.5.7.11
+== Roentgenium ==
+Roentgenium is the [[Fractional-octave temperaments|fractional-octave temperament]] defined as 4884 & 8103 in the [[19-limit]] and is named after the 111th element. 111 is 37 x 3, and what's particularly remarkable about this temperament is that it still preserves the relationship of 11/8 to [[37edo]] in EDOs the size of thousands. Developed for a musical composition in [[8103edo]] by [[Eliora]].
-Comma list: {{monzo|-25 -12 -3 12  5}}, {{monzo|-27  27  0  3 -7}}, {{monzo|26  -8 -2  8 -9}}
+[[Subgroup]]: 2.3.5.7.11
-Mapping: [{{val|111 111 2855 896 384}}, {{val|0 1 -40 -9 0}}]
+[[Comma list]]: {{monzo|-25 -12 -3 12  5}}, {{monzo|-27  27  0  3 -7}}, {{monzo|26  -8 -2  8 -9}}
-Optimal tuning (CTE): ~3/2 = 701.964
+[[Mapping]]: [{{val|111 111 2855 896 384}}, {{val|0 1 -40 -9 0}}]
-====19-limit====
+[[Optimal tuning]] (CTE): ~3/2 = 701.964
+==== 19-limit ====
 Subgroup: 2.3.5.7.11.13.17.19
@@ Line 20: / Line 23: @@
 {{Optimal ET sequence|legend=1|3219c, 4884, 8103, 12987}}, ...
-[[Category:Temperament collections]]
-[[Category:111edo]]
+{{Navbox fractional-octave}}