Diminished family: Difference between revisions

Spell out 1\4, 1\8, etc. in decimal and note the badness metric being used
m Re-adopt template: Optimal ET sequence
Line 56: Line 56:
* POTE: ~6/5 = 300.000, ~3/2 = 709.109 (~15/14 = 109.109)
* POTE: ~6/5 = 300.000, ~3/2 = 709.109 (~15/14 = 109.109)


Optimal ET sequence: {{Optimal ET sequence| 4, 8d, 12, 32cddee, 44cddeee }}
{{Optimal ET sequence|legend=0| 4, 8d, 12, 32cddee, 44cddeee }}


Badness (Smith): 0.022132
Badness (Smith): 0.022132
Line 71: Line 71:
* POTE: ~6/5 = 300.000, ~3/2 = 713.773 (~15/14 = 113.773)
* POTE: ~6/5 = 300.000, ~3/2 = 713.773 (~15/14 = 113.773)


Optimal ET sequence: {{Optimal ET sequence| 4, 8d, 12f, 20cdef }}
{{Optimal ET sequence|legend=0| 4, 8d, 12f, 20cdef }}


Badness (Smith): 0.019509
Badness (Smith): 0.019509
Line 86: Line 86:
* POTE: ~6/5 = 300.000, ~3/2 = 689.881 (~21/20 = 89.881)
* POTE: ~6/5 = 300.000, ~3/2 = 689.881 (~21/20 = 89.881)


Optimal ET sequence: {{Optimal ET sequence| 12, 28, 40de }}
{{Optimal ET sequence|legend=0| 12, 28, 40de }}


Badness (Smith): 0.026574
Badness (Smith): 0.026574
Line 105: Line 105:
* POTE: ~6/5 = 300.000, ~11/7 = 798.421 (~12/11 = 101.679)
* POTE: ~6/5 = 300.000, ~11/7 = 798.421 (~12/11 = 101.679)


Optimal ET sequence: {{Optimal ET sequence| 8bce, 12 }}
{{Optimal ET sequence|legend=0| 8bce, 12 }}


Badness (Smith): 0.054965
Badness (Smith): 0.054965
Line 120: Line 120:
* POTE: ~6/5 = 300.000, ~11/7 = 797.701 (~12/11 = 102.299)
* POTE: ~6/5 = 300.000, ~11/7 = 797.701 (~12/11 = 102.299)


Optimal ET sequence: {{Optimal ET sequence| 8bcef, 12f }}
{{Optimal ET sequence|legend=0| 8bcef, 12f }}


Badness (Smith): 0.041707
Badness (Smith): 0.041707
Line 156: Line 156:
* POTE: ~6/5 = 300.000, ~7/4 = 948.342 (~36/35 = 48.342)
* POTE: ~6/5 = 300.000, ~7/4 = 948.342 (~36/35 = 48.342)


Optimal ET sequence: {{Optimal ET sequence| 4e, 20ce, 24 }}
{{Optimal ET sequence|legend=0| 4e, 20ce, 24 }}


Badness (Smith): 0.056576
Badness (Smith): 0.056576
Line 171: Line 171:
* POTE: ~6/5 = 300.000, ~7/4 = 947.775 (~36/35 = 47.775)
* POTE: ~6/5 = 300.000, ~7/4 = 947.775 (~36/35 = 47.775)


Optimal ET sequence: {{Optimal ET sequence| 4ef, 24 }}
{{Optimal ET sequence|legend=0| 4ef, 24 }}


Badness (Smith): 0.039030
Badness (Smith): 0.039030
Line 205: Line 205:
* POTE: ~12/11 = 150.000, ~3/2 = 706.645 (~36/35 = 43.355)
* POTE: ~12/11 = 150.000, ~3/2 = 706.645 (~36/35 = 43.355)


Optimal ET sequence: {{Optimal ET sequence| 8d, 24, 32c }}
{{Optimal ET sequence|legend=0| 8d, 24, 32c }}


Badness (Smith): 0.047598
Badness (Smith): 0.047598
Line 220: Line 220:
* POTE: ~12/11 = 150.000, ~3/2 = 707.376 (~36/35 = 42.624)
* POTE: ~12/11 = 150.000, ~3/2 = 707.376 (~36/35 = 42.624)


Optimal ET sequence: {{Optimal ET sequence| 8d, 24, 32cf }}
{{Optimal ET sequence|legend=0| 8d, 24, 32cf }}


Badness (Smith): 0.030597
Badness (Smith): 0.030597