Gariboh clan: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
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These are rank-2 temperaments that temper out the gariboh comma, 3125/3087 = {{monzo| 0 -2 5 -3 }}.
The '''gariboh clan'' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the gariboh comma, [[3125/3087]] = {{monzo| 0 -2 5 -3 }}.


Temperaments dicussed elsewhere include [[Porcupine family #Ammonite|ammonite]], [[Sensamagic clan #Bohpier|bohpier]], [[Jubilismic clan #Diminished|diminished]], [[Schismatic family #Garibaldi|garibaldi]], [[Kleismic family #Kleiboh|kleiboh]], [[Maja family|maja]], [[Archytas clan #Passion|passion]], [[Keemic temperaments #Quasitemp|quasitemp]], and [[Magic family #Trismegistus|trismegistus]].
Temperaments dicussed elsewhere include [[Porcupine family #Ammonite|ammonite]], [[Sensamagic clan #Bohpier|bohpier]], [[Jubilismic clan #Diminished|diminished]], [[Schismatic family #Garibaldi|garibaldi]], [[Kleismic family #Kleiboh|kleiboh]], [[Maja family|maja]], [[Archytas clan #Passion|passion]], [[Keemic temperaments #Quasitemp|quasitemp]], and [[Magic family #Trismegistus|trismegistus]].


== Sirius ==
== Sirius ==
Subgroup: 3.5.7
[[Subgroup]]: 3.5.7


[[Comma list]]: 3125/3087
[[Comma list]]: 3125/3087


[[Sval]] [[mapping]]: [{{val| 1 1 1 }}, {{val| 0 3 5 }}]
{{Mapping|legend=2| 1 1 1 | 0 3 5 }}


Sval mapping generators: ~3, ~25/21
: sval mapping generators: ~3, ~25/21


[[POTE generator]]: ~25/21 = 293.740
[[Optimal tuning]] ([[POTE]]): ~3 = 1\1edt, ~25/21 = 293.740


[[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]],  [[123edt|b123]], [[136edt|b136]]
[[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]],  [[123edt|b123]], [[136edt|b136]]


[[Category:Temperament clans]]
[[Category:Temperament clans]]
[[Category:Gariboh clan| ]] <!-- main article -->
[[Category:Gariboh| ]] <!-- key article -->
[[Category:Rank 2]]
[[Category:Rank 2]]

Revision as of 09:31, 21 September 2023

The 'gariboh clan of rank-2 temperaments tempers out the gariboh comma, 3125/3087 = [0 -2 5 -3.

Temperaments dicussed elsewhere include ammonite, bohpier, diminished, garibaldi, kleiboh, maja, passion, quasitemp, and trismegistus.

Sirius

Subgroup: 3.5.7

Comma list: 3125/3087

Subgroup-val mapping[1 1 1], 0 3 5]]

sval mapping generators: ~3, ~25/21

Optimal tuning (POTE): ~3 = 1\1edt, ~25/21 = 293.740

Optimal ET sequence: b6, b7, b13, b71, b84, b97, b110, b123, b136