2.3.7 subgroup: Difference between revisions

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'''Semaphore''' temperament tempers out the comma [[49/48]] = S7 in the 2.3.7 subgroup, which equates [[8/7]] with [[7/6]], creating a single neutral semifourth which serves as the generator. Similarly to [[dicot]], semaphore can be regarded as an exotemperament that elides fundamental distinctions within the subgroup (from the perspective of a pentatonic framework, this is equivalent to erasing the major-minor distinction as dicot does), though the comma involved is half the size of dicot's [[25/24]].

The [[DKW theory|DKW]] (2.3.7) optimum tuning states ~3/2 is tuned to 696.230c ~~(though most other optimizations tune this a few cents flatter)~~; a chart of mistunings of simple intervals is below.

The [[DKW theory|DKW]] (2.3.7) optimum tuning states ~3/2 is tuned to 696.230c; a chart of mistunings of simple intervals is below.

{| class="wikitable center-1 center-2 center-3 center-4"

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 '''Semaphore''' temperament tempers out the comma [[49/48]] = S7 in the 2.3.7 subgroup, which equates [[8/7]] with [[7/6]], creating a single neutral semifourth which serves as the generator. Similarly to [[dicot]], semaphore can be regarded as an exotemperament that elides fundamental distinctions within the subgroup (from the perspective of a pentatonic framework, this is equivalent to erasing the major-minor distinction as dicot does), though the comma involved is half the size of dicot's [[25/24]].
-The [[DKW theory|DKW]] (2.3.7) optimum tuning states ~3/2 is tuned to 696.230c (though most other optimizations tune this a few cents flatter); a chart of mistunings of simple intervals is below.
+The [[DKW theory|DKW]] (2.3.7) optimum tuning states ~3/2 is tuned to 696.230c; a chart of mistunings of simple intervals is below.
 {| class="wikitable center-1 center-2 center-3 center-4"