Ragismic microtemperaments: Difference between revisions

Godtone (talk | contribs)
Deca: add pretty obvious no-17's 19-limit extension (the gen of this temp is (16/13)/(6/5) = 40/39 and in the 19-limit we can equate this with 39/38 by tempering 1521/1520); we cant temper 289/288 in the 17-limit as thatd reduce the accuracy a lot; badness is inconsistent with fumica's default badness so added dirichlet
Rhodium: +CWE tuning; +minimal gen
Line 508: Line 508:
: mapping generators: ~3072/3025, ~55/32
: mapping generators: ~3072/3025, ~55/32


Optimal tuning (CTE): ~3072/3025 = 1\45, ~55/32 = 937.6658
Optimal tunings:
* CTE: ~3072/3025 = 1\45, ~55/32 = 937.6658 (~385/384 = 4.3325)
* CWE: ~3072/3025 = 1\45, ~55/32 = 937.6630 (~385/384 = 4.3397)


{{Optimal ET sequence|legend=1| 45, 225c, 270, 1125, 1395, 1665, 5265d }}
Optimal ET sequence: {{Optimal ET sequence| 45, 225c, 270, 1125, 1395, 1665, 5265d }}


Badness: 0.0381
Badness: 0.0381
Line 521: Line 523:
Mapping: {{mapping| 45 1 -1 56 226 272 | 0 2 3 2 -2 -3 }}
Mapping: {{mapping| 45 1 -1 56 226 272 | 0 2 3 2 -2 -3 }}


Optimal tuning (CTE): ~66/65 = 1\45, ~55/32 = 937.657
Optimal tunings:
* CTE: ~66/65 = 1\45, ~55/32 = 937.6569 (~385/384 = 4.3236)
* CWE: ~66/65 = 1\45, ~55/32 = 937.6515 (~385/384 = 4.3182)


{{Optimal ET sequence|legend=1| 45, 270, 855, 1125, 1395, 1665, 3060d, 4725df }}
Optimal ET sequence: {{Optimal ET sequence| 45, 270, 855, 1125, 1395, 1665, 3060d, 4725df }}


Badness: 0.0226
Badness: 0.0226