Tritone: Difference between revisions

Temperaments that use 11/8 as a generator: Add note about temperaments that do ''not'' qualify
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In 13edo, 11/8 and 16/11 map to the tritones 6\13 and 7\13, respectively, and are valid generators for it.  Furthermore, although 12\26 is not valid as a generator for 26edo with a whole-octave period, it ''is'' valid with a half-octave period, for a temperament analogous to [[Injera]] but substituting 11/8 for 4/3.
In 13edo, 11/8 and 16/11 map to the tritones 6\13 and 7\13, respectively, and are valid generators for it.  Furthermore, although 12\26 is not valid as a generator for 26edo with a whole-octave period, it ''is'' valid with a half-octave period, for a temperament analogous to [[Injera]] but substituting 11/8 for 4/3.


Note that many temperaments that can use 11/8 as a generator do ''not'' have it as a tritone &emdash; for instance, 11/8 (or 16/11) is an excellent generator for [[24edo]], but in 24edo, a stack of 3 whole tones (9/8) is the semioctave, the same as in [[12edo]] apart from being represented by twice as many EDO-steps.
Note that many temperaments that can use 11/8 as a generator do ''not'' have it as a tritone — for instance, 11/8 (or 16/11) is an excellent generator for [[24edo]], but in 24edo, a stack of 3 whole tones (9/8) is the semioctave, the same as in [[12edo]] apart from being represented by twice as many EDO-steps.


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