Rank-3 scale: Difference between revisions
→Pairwise DE/MOS scales: Fixed up a bit Tags: Mobile edit Mobile web edit |
→Pairwise well-formed scales: Added a sentence on signatures Tags: Mobile edit Mobile web edit |
||
| Line 90: | Line 90: | ||
PWF scales can only have odd numbers of notes. | PWF scales can only have odd numbers of notes. | ||
A signature, i.e., a generalisation of a MOS signature, can be used to uniquely define a an equivalence class of PWF scales equivalent under mirror-inversion and rotation, i.e., a chiral scale pair, or an achiral scale. | |||
'''Conjecture''': The GO scales of odd cardinality are the PWF scales that are not '''''abacaba'''''. | '''Conjecture''': The GO scales of odd cardinality are the PWF scales that are not '''''abacaba'''''. | ||