Normal forms: Difference between revisions
m →IRREF: correction. The minimal ratio form doesn't use HNF either |
Cmloegcmluin (talk | contribs) →Positive generator form: map → mapping |
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If the ''i''-th entry in the result is negative, change the signs of every entry in the corresponding row of the mapping. | If the ''i''-th entry in the result is negative, change the signs of every entry in the corresponding row of the mapping. | ||
The "mapping" (though not the " | The "mapping" (though not the "mapping to lattice") listed on temperament pages of this wiki are in this form. The generators in defactored Hermite form of septimal meantone is positive already, so its positive generator form is the same as its defactored Hermite form, [{{val| 1 0 -4 -13 }}, {{val| 0 1 4 10 }}], corresponding to generators of ~2/1 and ~3/1. An example of positive generator form that is different from the defactored Hermite form is the porcupine temperament, elaborated below. | ||
The defactored Hermite form mapping matrix for porcupine is | The defactored Hermite form mapping matrix for porcupine is | ||