Syntonic–kleismic equivalence continuum: Difference between revisions

Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
- parakleismic (addressed in its own family now)
 
(One intermediate revision by one other user not shown)
Line 248: Line 248:


[[Badness]] (Sintel): 10.8
[[Badness]] (Sintel): 10.8
== Parakleismic ==
{{Main| Parakleismic }}
: ''For extensions, see [[Ragismic microtemperaments #Parakleismic]] and [[Starling temperaments #Paraguay]].''
The 5-limit version of parakleismic tempers out the [[parakleisma]]. It corresponds to {{nowrap| ''n'' {{=}} 13/2 }}, and 13 generator steps give the interval class of [[3/1|3]].
[[Subgroup]]: 2.3.5
[[Comma list]]: 1224440064/1220703125
{{Mapping|legend=1| 1 -8 -8 | 0 13 14 }}
: mapping generators: ~2, ~5/3
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.971{{c}}, ~5/3 = 884.7383{{c}}
: [[error map]]: {{val| -0.029 -0.127 +0.253 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~5/3 = 884.8576{{c}}
: error map: {{val| 0.000 -0.106 +0.293 }}
{{Optimal ET sequence|legend=1| 19, 61, 80, 99, 118, 453, 571, 689, 1496 }}
[[Badness]] (Sintel): 1.02


== Mowgli ==
== Mowgli ==
Line 353: Line 330:


[[Badness]] (Sintel): 7.45
[[Badness]] (Sintel): 7.45
== Oviminor ==
{{See also| Ragismic microtemperaments #Oviminor }}
Oviminor is named after the facts that it takes 184 minor thirds of 6/5 to reach 4/3, the Roman consul was Eggius in the year 184 AD, and the Latin word for egg is ovum, and with prefix ovi-. It sets a new record of complexity for a chain of nineteen 6/5's past [[egads]], though it is less accurate.
[[Subgroup]]: 2.3.5
[[Comma list]]: {{monzo| -134 -185 184 }}
{{Mapping|legend=1| 1 -134 -134 | 0 184 185 }}
: mapping generators: ~2, ~5/3
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1200.0094{{c}}, ~5/3 = 884.2568{{c}}
: [[error map]]: {{val| +0.009 +0.033 -0.069 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~5/3 = 884.2499{{c}}
: error map: {{val| 0.000 +0.026 -0.083 }}
{{Optimal ET sequence|legend=1| 19, …, 1600, 3219, 4819 }}
[[Badness]] (Sintel): 751


[[Category:19edo]]
[[Category:19edo]]
[[Category:Equivalence continua]]
[[Category:Equivalence continua]]