Quintile family: Difference between revisions

+CTE tunings. +error maps. Spell out the period in cents. Note the badness metric being used. Misc. cleanup
m Sorting
Line 109: Line 109:
Badness (Smith): 0.047624
Badness (Smith): 0.047624


==== Hemiquint ====
==== Hemiquintilis ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 540/539, 1575/1573, 4096/4095, 8019/8000
Comma list: 351/350, 540/539, 676/675, 124215/123904


Mapping: {{mapping| 5 0 -28 18 -54 34 | 0 2 10 -1 18 -13 }}
Mapping: {{mapping| 5 0 -28 18 -54 34 | 0 2 10 -1 18 13 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~147/128 = 240.0000, ~140/81 = 950.6607 (~144/143 = 9.3393)
* CTE: ~147/128 = 240.0000, ~26/15 = 950.6775 (~176/175 = 9.3225)
* POTE: ~147/128 = 240.0000, ~140/81 = 950.6677 (~144/143 = 9.3323)
* POTE: ~147/128 = 240.0000, ~26/15 = 950.6593 (~176/175 = 9.3407)


{{Optimal ET sequence|legend=0| 125, 130, 255, 385, 515 }}
{{Optimal ET sequence|legend=0| 125f, 130, 255f, 385f }}


Badness (Smith): 0.041043
Badness (Smith): 0.033542


==== Hemiquintilis ====
==== Hemiquint ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 351/350, 540/539, 676/675, 124215/123904
Comma list: 540/539, 1575/1573, 4096/4095, 8019/8000


Mapping: {{mapping| 5 0 -28 18 -54 34 | 0 2 10 -1 18 13 }}
Mapping: {{mapping| 5 0 -28 18 -54 34 | 0 2 10 -1 18 -13 }}


Optimal tunings:  
Optimal tunings:  
* CTE: ~147/128 = 240.0000, ~140/81 = 950.6775 (~176/175 = 9.3225)
* CTE: ~147/128 = 240.0000, ~140/81 = 950.6607 (~144/143 = 9.3393)
* POTE: ~147/128 = 240.0000, ~26/15 = 950.6593 (~176/175 = 9.3407)
* POTE: ~147/128 = 240.0000, ~140/81 = 950.6677 (~144/143 = 9.3323)


{{Optimal ET sequence|legend=0| 125f, 130, 255f, 385f }}
{{Optimal ET sequence|legend=0| 125, 130, 255, 385, 515 }}


Badness (Smith): 0.033542
Badness (Smith): 0.041043


== Decile ==
== Decile ==