Subgroup temperaments: Difference between revisions

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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 11/7~√(5/2), 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 11/7~√(5/2), while the generator is ~[[7/5]]. It can be regarded as "direct frostmic" (similar to [[The Quartercache#Direct quartismic|direct quartismic]]).  


It was formerly named ''permafrost'' but the name was changed to frosthog a day later due to a naming conflict with 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]]).


The 5/2.7/2.11/2 subgroup could be seen as a somewhat more practical version of the 5.7.11 subgroup (the essential "no-twos no-threes" subgroup) on account of both containing the 5:7:11 chord, and [[5/2]] being a much more workable period size than [[5/1]], although there is still the issue of how to make 5/2 sound equivalent.
The 5/2.7/2.11/2 subgroup could be seen as a somewhat more practical version of the 5.7.11 subgroup (the essential "no-twos no-threes" subgroup) on account of both containing the 5:7:11 chord, and [[5/2]] being a much more workable period size than [[5/1]], although there is still the issue of how to make 5/2 sound equivalent.