Equivalence continuum: Difference between revisions
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* [[septimal meantone]] tempers out 81/80 = '''u'''<sub>''x''</sub> = (1, 0, 0) and 126/125 = '''u'''<sub>''y''</sub> = (0, 1, 0), thus corresponds to the plane ''z'' = 0. This corresponds to '''v''' = (0, 0, 1). | * [[septimal meantone]] tempers out 81/80 = '''u'''<sub>''x''</sub> = (1, 0, 0) and 126/125 = '''u'''<sub>''y''</sub> = (0, 1, 0), thus corresponds to the plane ''z'' = 0. This corresponds to '''v''' = (0, 0, 1). | ||
* [[valentine]] tempers out 1029/1024 = '''u'''<sub>''z''</sub> = (0, 0, 1) and 126/125 = '''u'''<sub>''y''</sub> = (0, 1, 0). This corresponds to '''v''' = (1, 0, 0). | * [[valentine]] tempers out 1029/1024 = '''u'''<sub>''z''</sub> = (0, 0, 1) and 126/125 = '''u'''<sub>''y''</sub> = (0, 1, 0). This corresponds to '''v''' = (1, 0, 0). | ||
* [[mohajira]] tempers out 81/80 = '''u'''<sub>''x''</sub> = (1, 0, 0) and 6144/6125 = '''u'''<sub>''y''</sub> − '''u'''<sub>''z''</sub> = (0, 1, -1). This corresponds to '''v''' = (0, 1, 1). | |||
* [[hemithirds]] tempers out 1029/1024 = '''u'''<sub>''z''</sub> = (0, 0, 1) and 3136/3125 = 2'''u'''<sub>''x''</sub> + '''u'''<sub>''y''</sub> = (2, 1, 0). This corresponds to '''v''' = (1, −2, 0). | * [[hemithirds]] tempers out 1029/1024 = '''u'''<sub>''z''</sub> = (0, 0, 1) and 3136/3125 = 2'''u'''<sub>''x''</sub> + '''u'''<sub>''y''</sub> = (2, 1, 0). This corresponds to '''v''' = (1, −2, 0). | ||
* [[miracle]] tempers out 1029/1024 = '''u'''<sub>''z''</sub> = (0, 0, 1) and 225/224 = '''u'''<sub>''x''</sub> − '''u'''<sub>''y''</sub> = (1, −1, 0). This corresponds to '''v''' = (1, 1, 0). | * [[miracle]] tempers out 1029/1024 = '''u'''<sub>''z''</sub> = (0, 0, 1) and 225/224 = '''u'''<sub>''x''</sub> − '''u'''<sub>''y''</sub> = (1, −1, 0). This corresponds to '''v''' = (1, 1, 0). | ||