Kite's thoughts on antipodes: Difference between revisions
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* [[31edo]] generated by the mid 3rd (e.g. [[Mohajira|Lulu/Mohajira]] temperament) has antipodes the upmajor 3rd and the downminor 6th. | * [[31edo]] generated by the mid 3rd (e.g. [[Mohajira|Lulu/Mohajira]] temperament) has antipodes the upmajor 3rd and the downminor 6th. | ||
* [[41edo]] generated by the downmajor 3rd (e.g. [[Magic|Laquinyo/Magic]] temperament) has antipodes the major 3rd and the minor 6th. | * [[41edo]] generated by the downmajor 3rd (e.g. [[Magic|Laquinyo/Magic]] temperament) has antipodes the major 3rd and the minor 6th. | ||
* [[ | * [[13edt]] generated by 9/7 = 3\13 (e.g. [[Lambda|Zozoyo/Lambda]] temperament) has antipodes 5\13 and its tritave-complement 8\13. | ||
While not all edos have conventional antipodes, all edos have generalized antipodes. For every even edo, the generalized antipodes is always the half-octave. For example, 24edo has generators 1\24, 5\24, 7\24 and 11\24 (plus their octave complements). In all 4 circles of generators, the farthest point is 12\24. | While not all edos have conventional antipodes, all edos have generalized antipodes. For every even edo, the generalized antipodes is always the half-octave. For example, 24edo has generators 1\24, 5\24, 7\24 and 11\24 (plus their octave complements). In all 4 circles of generators, the farthest point is 12\24. | ||