Interleaving: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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Scoot the (''a'' + ''b'')-letter subword across ''s''. On ''a'' + ''b'' consecutive notes, the interval subtended by this word is '''δ''', and on the other ''a'' + ''b'' notes, the interval subtended by this word is ‖''s''‖ - '''δ'''. We get a linear relation probably, but I haven't checked.
Scoot the (''a'' + ''b'')-letter subword across ''s''. On ''a'' + ''b'' consecutive notes, the interval subtended by this word is '''δ''', and on the other ''a'' + ''b'' notes, the interval subtended by this word is ‖''s''‖ - '''δ'''. We get a linear relation probably, but I haven't checked.


'''V'''w'''W'''
We have '''V'''w'''W''' where '''V''' != '''W''', ‖'''V'''''w''‖ = '''δ''', ‖''w'''''W'''‖ = ‖''s''‖ - '''δ'''


where '''V''' != '''W'''
=> '''δ''' - '''V''' = ‖''w''‖ = ‖''s''‖ - '''δ''' - '''W'''


‖'''V'''''w''‖ = '''δ'''
=> 2'''δ''' + '''W''' = ‖''s''‖ + '''V''' is a nontrivial linear relation (?)
 
‖''w'''''W'''‖ = ‖''s''‖ - '''δ'''
 
'''δ''' - '''V''' = ‖''w''‖ = ‖''s''‖ - '''δ''' - '''W'''
 
2'''δ''' + '''W''' = ‖''s''‖ + '''V''' is a nontrivial linear relation (?)


== Generalizations ==
== Generalizations ==