Kite's thoughts on antipodes: Difference between revisions
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* If the edo is even, the antipode is the half-octave. For example, 12edo's antipode is the tritone 6\12. | * If the edo is even, the antipode is the half-octave. For example, 12edo's antipode is the tritone 6\12. | ||
* If the edo is odd and the 4th is even, the antipodes are the half-4th and its octave complement | * If the edo is odd and the 4th is even, the antipodes are the half-4th and its octave complement a 5th higher. For example, [[19edo]]'s 4th is 8\19, and its antipodes are 4\19 (A2/d3) and 15\19 (A6/d7). | ||
* If the edo is odd and the 5th is even, the antipodes are the mid-3rd (half-5th) and its octave complement | * If the edo is odd and the 5th is even, the antipodes are the mid-3rd (half-5th) and its octave complement a 4th higher. For example, [[17edo]]'s 5th is 10\17, and its antipodes are 5\17 and 12\17. | ||
In summary, the antipode is always the half-octave, the half-4th or the half-5th, whichever one exists in the edo. | In summary, the antipode is always the half-octave, the half-4th or the half-5th, whichever one exists in the edo. | ||