Syntonic–limmic equivalence continuum: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
Move 5-limit uncle here |
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| Line 27: | Line 27: | ||
! Monzo | ! Monzo | ||
|- | |- | ||
| | | −3 | ||
| | | −4 | ||
| Laquadgu (5 & 28) | | Laquadgu (5 & 28) | ||
| [[177147/160000]] | | [[177147/160000]] | ||
| {{monzo| -8 11 -4 }} | | {{monzo| -8 11 -4 }} | ||
|- | |- | ||
| | | −2 | ||
| | | −3 | ||
| [[Gamelismic clan #Gorgo|Laconic]] | | [[Gamelismic clan #Gorgo|Laconic]] | ||
| [[2187/2000]] | | [[2187/2000]] | ||
| {{monzo| -4 7 -3 }} | | {{monzo| -4 7 -3 }} | ||
|- | |- | ||
| | | −1 | ||
| | | −2 | ||
| [[Bug]] | | [[Bug]] | ||
| [[27/25]] | | [[27/25]] | ||
| Line 46: | Line 46: | ||
|- | |- | ||
| 0 | | 0 | ||
| | | −1 | ||
| [[Father]] | | [[Father]] | ||
| [[16/15]] | | [[16/15]] | ||
| Line 117: | Line 117: | ||
! Monzo | ! Monzo | ||
|- | |- | ||
| | | −1 | ||
| [[Ultrapyth]] | | [[Ultrapyth]] | ||
| [[5242880/4782969]] | | [[5242880/4782969]] | ||
| Line 158: | Line 158: | ||
! ''n'' !! ''m'' !! Temperament !! Comma | ! ''n'' !! ''m'' !! Temperament !! Comma | ||
|- | |- | ||
| | | −3/2 = −1.5 || 3/5 = 0.6 || [[University]] || {{monzo| 4 2 -3 }} | ||
|- | |- | ||
| | | −1/2 = −0.5 || 1/3 = 0.{{overline|3}} || [[Uncle]] || {{monzo| 12 -6 -1 }} | ||
|- | |- | ||
| 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Counterpental]] || {{monzo| 36 -30 5 }} | | 5/2 = 2.5 || 5/3 = 1.{{overline|6}} || [[Counterpental]] || {{monzo| 36 -30 5 }} | ||
| Line 172: | Line 172: | ||
| 11/2 = 5.5 || 11/9 = 1.{{overline|2}} || 5 & 137 || {{monzo| -60 54 -11 }} | | 11/2 = 5.5 || 11/9 = 1.{{overline|2}} || 5 & 137 || {{monzo| -60 54 -11 }} | ||
|} | |} | ||
== Uncle == | |||
: ''For extensions, see [[Trienstonic clan #Uncle]].'' | |||
[[Subgroup]]: 2.3.5 | |||
[[Comma list]]: 4096/3645 | |||
{{Mapping|legend=1| 1 0 12 | 0 1 -6 }} | |||
: mapping generators: ~2, ~3 | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~2 = 1200.000, ~3/2 = 733.721 | |||
: [[error map]]: {{val| 0.000 +31.766 +11.362 }} | |||
* [[CWE]]: ~2 = 1200.000, ~3/2 = 731.732 | |||
: error map: {{val| 0.000 +29.777 +23.296 }} | |||
{{Optimal ET sequence|legend=1| 5, 13, 18, 23bc }} | |||
[[Badness]]: | |||
* Smith: 0.270 | |||
* Dirichlet: 6.33 | |||
== Hemiseven == | == Hemiseven == | ||
: ''For extensions, see [[Gamelismic clan #Hemiseven]].'' | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
| Line 192: | Line 215: | ||
== Ultrapyth == | == Ultrapyth == | ||
: ''For extensions, see [[Archytas clan #Ultrapyth]].'' | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
| Line 228: | Line 251: | ||
== Counterpental == | == Counterpental == | ||
: ''For extensions, see [[Orwellismic temperaments #Pentorwell]].'' | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
| Line 246: | Line 269: | ||
== Septiquarter == | == Septiquarter == | ||
: ''For extensions, see [[Hemifamity temperaments #Septiquarter]].'' | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||