Keenan's EDO impressions: Difference between revisions

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[[11edo|11]] - Every other note of [[22edo|22]]. This makes it a great 2.9.7.11 temperament. Includes [[Machine|machine]], [[Orgone|orgone]], [http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&limit=2_9_7_11 http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&limit=2_9_7_11] and [http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&limit=2_9_7_11 http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&limit=2_9_7_11]
[[11edo|11]] - Every other note of [[22edo|22]]. This makes it a great 2.9.7.11 temperament. Includes [[Machine|machine]], [[Orgone|orgone]], [http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&limit=2_9_7_11 http://x31eq.com/cgi-bin/rt.cgi?ets=11_14&limit=2_9_7_11] and [http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&limit=2_9_7_11 http://x31eq.com/cgi-bin/rt.cgi?ets=11_20&limit=2_9_7_11]


[[12edo|12]] (aka [[19edt|19edt]], "standard semitones") - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular [[dominant|dominant]] temperament. Also [[augmented|augmented]] and [[Diminished|diminished]]. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of "non-xenharmonic" ensembles.
[[12edo|12]] (aka [[19edt|19edt]], "standard semitones") - Excellent 5-limit temperament with strong hints of 7. The ideal tuning for the wildly popular [[dominant (temperament)|dominant]] temperament. Also [[augmented|augmented]] and [[Diminished|diminished]]. Currently used as a basis for adaptive tuning, as well as directly, by a huge number of "non-xenharmonic" ensembles.


[[13edo|13]] - Every other note of [[26edo|26]]. This makes it a good temperament for a subgroup containing the primes 5, 11, and 13 (but not 3). Alternatively, the ~738 cent interval could be treated as 3/2, giving a few high-error 5-limit temperaments, including [[Uncle|uncle]] and [[Dicot|dicot]].
[[13edo|13]] - Every other note of [[26edo|26]]. This makes it a good temperament for a subgroup containing the primes 5, 11, and 13 (but not 3). Alternatively, the ~738 cent interval could be treated as 3/2, giving a few high-error 5-limit temperaments, including [[Uncle|uncle]] and [[Dicot|dicot]].