Syntonic–diatonic equivalence continuum: Difference between revisions
No edit summary Tags: Mobile edit Mobile web edit |
|||
| Line 94: | Line 94: | ||
| {{Monzo| -32 29 -6 }} | | {{Monzo| -32 29 -6 }} | ||
|- | |- | ||
| … | |||
| … | | … | ||
| … | | … | ||
| Line 170: | Line 171: | ||
|- | |- | ||
| 21/5 = 4.2 || 21/16 = 1.3125 || 559 & 2513 || {{Monzo| -124 109 -21 }} | | 21/5 = 4.2 || 21/16 = 1.3125 || 559 & 2513 || {{Monzo| -124 109 -21 }} | ||
|- | |||
| 13/3 = 4.{{overline|3}} || 13/10 = 1.3 || [[Tokko]] || {{Monzo| -76 67 -13 }} | |||
|- | |- | ||
| 9/2 = 4.5 || 9/7 = 1.{{overline|285714}} || 5 & 118 || {{Monzo| -52 46 -9 }} | | 9/2 = 4.5 || 9/7 = 1.{{overline|285714}} || 5 & 118 || {{Monzo| -52 46 -9 }} | ||
| Line 176: | Line 179: | ||
|} | |} | ||
== Superpyth | == Superpyth == | ||
: ''For extensions, see [[Archytas clan #Superpyth]] and [[Jubilismic clan #Bipyth]].'' | : ''For extensions, see [[Archytas clan #Superpyth]] and [[Jubilismic clan #Bipyth]].'' | ||
| Line 199: | Line 202: | ||
[[Badness]] (Sintel): 3.17 | [[Badness]] (Sintel): 3.17 | ||
== Uncle | == Uncle == | ||
: ''For extensions, see [[Trienstonic clan #Uncle]].'' | : ''For extensions, see [[Trienstonic clan #Uncle]].'' | ||
| Line 222: | Line 225: | ||
[[Badness]] (Sintel): 6.33 | [[Badness]] (Sintel): 6.33 | ||
== Ultrapyth | == Ultrapyth == | ||
: ''For extensions, see [[Archytas clan #Ultrapyth]].'' | : ''For extensions, see [[Archytas clan #Ultrapyth]].'' | ||
| Line 268: | Line 271: | ||
[[Badness]] (Sintel): 55.3 | [[Badness]] (Sintel): 55.3 | ||
== Rodan | == Rodan == | ||
: ''For extensions, see [[Gamelismic clan #Rodan]].'' | : ''For extensions, see [[Gamelismic clan #Rodan]].'' | ||
| Line 358: | Line 361: | ||
--> | --> | ||
== Hemiseven | == Hemiseven == | ||
: ''For extensions, see [[Gamelismic clan #Hemiseven]].'' | : ''For extensions, see [[Gamelismic clan #Hemiseven]].'' | ||
| Line 400: | Line 403: | ||
[[Badness]] (Sintel): 35.2 | [[Badness]] (Sintel): 35.2 | ||
== Septiquarter | == Septiquarter == | ||
: ''For extensions, see [[Hemifamity temperaments #Septiquarter]].'' | : ''For extensions, see [[Hemifamity temperaments #Septiquarter]].'' | ||
| Line 420: | Line 423: | ||
[[Badness]] (Sintel): 22.8 | [[Badness]] (Sintel): 22.8 | ||
== Tokko == | |||
: ''For extensions, see [[Wizmic microtemperaments #Tokko]].'' | |||
[[Subgroup]]: 2.3.5 | |||
[[Comma list]]: {{monzo| -76 67 -13 }} | |||
{{Mapping|legend=1| 1 12 56 | 0 -13 -67 }} | |||
: mapping generators: ~2, ~{{monzo| 36 -31 6 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.0377{{c}}, ~{{monzo| 36 -31 6 }} = 961.4293{{c}} | |||
: [[error map]]: {{val| +0.038 -0.083 +0.035 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~{{monzo| 36 -31 6 }} = 961.3985{{c}} | |||
: error map: {{val| 0.000 -0.135 -0.011 }} | |||
{{Optimal ET sequence|legend=1| 5, …, 166, 171, 860, 1031, 1202, 1373, 1544 }} | |||
[[Badness]] (Sintel): 20.9 | |||
<!-- | <!-- | ||