Subgroup temperaments: Difference between revisions

CompactStar (talk | contribs)
CompactStar (talk | contribs)
- the direct frostmic part because that might fit more for 2.5.11/7
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== 5/2-repeating subgroups ==
== 5/2-repeating subgroups ==
=== Frosthog ===
=== Frosthog ===
Discovered and named by {{u|CompactStar}} in 2026, frosthog is a [[5/2]]-equivalent nonoctave temperament which tempers out the frostma, [[245/242]], in the 5/2.7/2.11/2 subgroup. The frostma equates 2 11/7s to 5/2, thus the period is √(5/2) (which represents both [[11/7]] and [[35/22]]), while the generator is ~[[7/5]]. It can be regarded as "direct frostmic" (similar to [[The Quartercache#Direct quartismic|direct quartismic]]).  
Discovered and named by {{u|CompactStar}} in 2026, frosthog is a [[5/2]]-equivalent nonoctave temperament which tempers out the frostma, [[245/242]], in the 5/2.7/2.11/2 subgroup. The frostma equates 2 11/7s to 5/2, thus the period is √(5/2) (which represents both [[11/7]] and [[35/22]]), while the generator is ~[[7/5]].  


It was formerly named ''permafrost'' but the name was changed to frosthog a day later due to a naming conflict with [[Pentacircle clan#Permafrost|another temperament]]. It is named after [[hedgehog]] and the frostma, as it is a "macro-hedgehog" temperament producing the same as MOS scales as hedgehog (compare [[macrodiatonic and microdiatonic scales]]).
It was formerly named ''permafrost'' but the name was changed to frosthog a day later due to a naming conflict with [[Pentacircle clan#Permafrost|another temperament]]. It is named after [[hedgehog]] and the frostma, as it is a "macro-hedgehog" temperament producing the same as MOS scales as hedgehog (compare [[macrodiatonic and microdiatonic scales]]).