Rank-3 scale: Difference between revisions
Tags: Mobile edit Mobile web edit |
Tags: Mobile edit Mobile web edit |
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Then the total number of specific intervals in X is (''N''/2-1)*2 + 2*3 + (''N''/2-2)*4 = 6+''N''-2+2''N''-8 = 3''N''-4, and the mean variety = (3''N''-4) / (''N''-1) | Then the total number of specific intervals in X is (''N''/2-1)*2 + 2*3 + (''N''/2-2)*4 = 6+''N''-2+2''N''-8 = 3''N''-4, and the mean variety = (3''N''-4) / (''N''-1) | ||
'''Conjecture:''' SN scales only of the form '''''a…ba…c''''', or generated by a single instance of a third generator at the top or bottom of each step of a WF scale | '''Conjecture:''' SN scales only of the form '''''a…ba…c''''', or generated by a single instance of a third generator at the top or bottom of each step of a WF scale have mean variety < 3. | ||
'''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 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). | ||