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Edos with [[patent val]]s tempering out the keenansima include {{EDOs| 15, 19, 22, 31, 34, 37, 41, 53, 68, 72, 118, 159, 190, 212 and 284}}.
Edos with [[patent val]]s tempering out the keenansima include {{EDOs| 15, 19, 22, 31, 34, 37, 41, 53, 68, 72, 118, 159, 190, 212 and 284}}.


Characteristic of keenanismic tempering are the [[keenanismic tetrads]], 385/384-tempered versions of 1-5/4-3/2-12/7, 1-5/4-10/7-12/7, 1-6/5-3/2-7/4, 1-5/4-16/11-7/4, and 1-14/11-16/11-7/4. These are essentially tempered [[dyadic chord]]s, where every dyad of the chord is a keenanismic tempered version of an interval of the [[11-odd-limit]] [[tonality diamond]], and hence regarded as an 11-odd-limit consonance.
Characteristic of keenanismic tempering are the [[keenanismic tetrads]], 385/384-tempered versions of 1-5/4-3/2-12/7, 1-5/4-10/7-12/7, 1-6/5-3/2-7/4, 1-5/4-16/11-7/4, and 1-14/11-16/11-7/4. These are essentially tempered [[dyadic chord]]s, where every interval of the chord is a keenanismic tempered version of an interval of the [[11-odd-limit]] [[tonality diamond]], and hence regarded as an 11-odd-limit consonance.


[[File:keenanismic tetrads in 31edo sym.png|thumb]]
[[File:keenanismic tetrads in 31edo sym.png|thumb]]