Kite's thoughts on antipodes: Difference between revisions
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m TallKite moved page Antipodes to Kite's thoughts on antipodes: Editor VectorGraphics has repeatedly edited pages I've written about my own research and inserted misinformation. On discord he is openly hostile to me. This move is necessary to avoid a toxic work environment for me. |
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* 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. | * 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. Only one of these exists; or all three exist, in which case the edo is multi-ring. | ||
== Applications == | == Applications == | ||