Fractional-octave temperaments: Difference between revisions

Oganesson: completion
Line 480: Line 480:
Optimal tuning (CTE): ~1953125/1354752 = 634.0085
Optimal tuning (CTE): ~1953125/1354752 = 634.0085


{{Val list|legend=1| 354, 3068e, 3442, 3776, 11682ccdde }}
Optimal GPV sequence: {{Val list| 354, 3068e, 3442, 3776, 11682ccdde }}


Badness: 0.568
Badness: 0.568
Line 495: Line 495:
Optimal tuning (CTE): ~1124864/779625 = 634.0087
Optimal tuning (CTE): ~1124864/779625 = 634.0087


{{Val list|legend=1| 354, 3068e, 3422, 3776 }}
Optimal GPV sequence: {{Val list| 354, 3068e, 3422, 3776 }}


Badness: 0.172
Badness: 0.172


=== 17-limit ===
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Comma list: 4096/4095, 9801/9800, 34391/34375, 361250/361179, 562432/562275
Comma list: 4096/4095, 9801/9800, 34391/34375, 361250/361179, 562432/562275


Mapping:  [{{val| 118 0 274 643 1094 499 607}}, {{val| 0 3 0 -5 -11 -1 2}}]
Mapping:  [{{val| 118 0 274 643 1094 499 607 }}, {{val| 0 3 0 -5 -11 -1 2 }}]


Mapping generators: ~170/169, ~238/165
Mapping generators: ~170/169, ~238/165


Optimal tuning (CTE): ~238/165 = 634.008
Optimal tuning (CTE): ~238/165 = 634.0080
 
Optimal GPV sequence: {{Val list| 354, 3068e, 3422, 3776 }}
 
Badness: 0.105


Vals: 354, 3776, ...
[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Rank 2]]
[[Category:Rank 2]]