Ploidacot/Diploid monocot: Difference between revisions

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Diaschismic sets [[3/2]] equal to [[16/15]] plus a semioctave, setting the semioctave equal to [[45/32]]~[[64/45]], and mapping [[5/4]] to 2 generators down. Diaschismic naturally extends to prime 17 by setting the flat 16/15 generator also equal to [[17/16]]. Diaschismic is tuned best with fifths slightly sharp of just.
Diaschismic sets [[3/2]] equal to [[16/15]] plus a semioctave, setting the semioctave equal to [[45/32]]~[[64/45]], and mapping [[5/4]] to 2 generators down. Diaschismic naturally extends to prime 17 by setting the flat 16/15 generator also equal to [[17/16]]. Diaschismic is tuned best with fifths slightly sharp of just.


To extend to the 7-limit, 7/5 can be set equal to the semioctave, meaning 7/4 is a semioctave above 5/4. This suggests tuning the generator to about 709 cents (or equivalently 109 cents).
To extend to the 7-limit, a simple mapping ([[pajara]]) sets 7/5 equal to the semioctave, meaning 7/4 is a semioctave above 5/4. This suggests tuning the generator to about 709 cents (or equivalently 109 cents). With a slightly less sharp fifth, septimal diaschismic maps 7/4 to 8 generators down.


=== Injera ===
=== Injera ===