Tetracot: Difference between revisions

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 [[Equal temperament]]s that [[support]] tetracot include {{EDOs| 27, 34, and 41 }}.
-Tetracot has many [[extension]]s for the 7-, 11-, and 13-limit. These are [[monkey]] (34 & 41), [[bunya]] (34d & 41), [[modus]] (27e & 34d) and [[wollemia]] (27e & 34).
+Tetracot has four strong [[extension]]s for the 7-, 11-, and 13-limit, which differ in their methods of obtaining the [[7/1|7th harmonic]], but use the same methods of obtaining the [[11/1|11th]] and [[13/1|13th]] harmonics.
+* [[Monkey]] (34 & 41) obtains the 7th harmonic at 15 generators down, tempering out [[875/864]] and thereby equating [[7/4]] with ([[6/5]])<sup>3</sup>;
+* [[Bunya]] (34d & 41) obtains the 7th harmonic at 26 generators up, tempering out [[225/224]] and thereby equating [[7/2]] with ([[15/8]])<sup>2</sup>;
+* [[Modus]] (27e & 34d) obtains the 7th harmonic at 8 generators down, tempering out [[64/63]] and thereby equating 7/4 with [[16/9]];
+* [[Wollemia]] (27e & 34) obtains the 7th harmonic at 19 generators up, tempering out [[126/125]] and thereby equating [[7/1]] with ([[5/3]])<sup>3</sup>([[3/2]]).
 See [[Tetracot family]] for technical data.