2.5.7 subgroup: Difference between revisions

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==== Jubilic ====
==== Jubilic ====
'''Jubilic''' temperament tempers out the comma [[50/49]] in the 2.5.7 subgroup, which makes [[7/5]] ~ [[10/7]] a single half-octave tritone which serves as the period. Similarly to [[dicot]], jubilic can be regarded as an exotemperament that elides fundamental distinctions within the subgroup, though the comma involved is half the size of dicot's [[25/24]].
'''Jubilic''' temperament tempers out the comma [[50/49]] = S5/S7 in the 2.5.7 subgroup, which makes [[7/5]] ~ [[10/7]] a single half-octave tritone which serves as the period. Similarly to [[dicot]], jubilic can be regarded as an exotemperament that elides fundamental distinctions within the subgroup, though the comma involved is half the size of dicot's [[25/24]].


The [[DKW theory|DKW]] (2.5.7) optimum tuning states ~5/4 is tuned to 385.002c and therefore that ~8/7 is tuned to 214.998c; a chart of mistunings of simple intervals is below.
The [[DKW theory|DKW]] (2.5.7) optimum tuning states ~5/4 is tuned to 385.002c and therefore that ~8/7 is tuned to 214.998c; a chart of mistunings of simple intervals is below.