Rank 3 scale: Difference between revisions
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'''Conjecture:''' SN scales only of the form a…ba…c, or generated by a single incidence of a third gen at the top or bottom of each step of a WF, have mean variety < 3. | '''Conjecture:''' SN scales only of the form a…ba…c, or generated by a single incidence of a third gen at the top or bottom of each step of a WF, have mean variety < 3. | ||
'''Conjecture:''' Scales of the form a...ba...ba...c have variety ((''N''/3-1)*(2*3+4) + 2*2) / (''N''-1) =(10''N''/3-6) / (''N''-1). | '''Conjecture:''' Scales of the form a...ba...ba...c have mean variety ((''N''/3-1)*(2*3+4) + 2*2) / (''N''-1) =(10''N''/3-6) / (''N''-1). | ||
'''Conjecture:''' Scales with 2 instances of a | '''Conjecture:''' Scales with 2 instances of a generator added to a WF scale have mean variety ((''N''/3-1)*2 + 4*3 + 2(''N''/3-2)*4) / (N-1) = (10''N''/3-6)/(''N''-1) | ||
'''Conjecture:''' abacaba and aabaabaac are the only SN scales with mean variety = 3. | '''Conjecture:''' abacaba and aabaabaac are the only SN scales with mean variety = 3. | ||